4-asset optimization. Max-Sharpe: 6.385. Portfolio: return=235.63%, vol=36.28%. Weights: w_XLV=0.0916, w_BNB-USD=0.3497, w_PALL=0.5587, w_BIL=0.0000.

Question:
Assets: XLV, BNB-USD, PALL, BIL
Annualized mean returns: XLV:0.2856, BNB-USD:5.1527, PALL:0.9455, BIL:0.0227
Covariance matrix (annualized):
[[0.016548, 0.019706, 0.009931, 9e-06], [0.019706, 0.766909, 0.036668, 0.00018], [0.009931, 0.036668, 0.067495, -2.3e-05], [9e-06, 0.00018, -2.3e-05, 3e-06]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLV=0.0916, w_BNB-USD=0.3497, w_PALL=0.5587, w_BIL=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLV=0.0916, w_BNB-USD=0.3497, w_PALL=0.5587, w_BIL=0.0000
Portfolio annualized return: 235.63%, volatility: 36.28%
Sharpe ratio: (2.3563 - 0.0400) / 0.3628 = 6.3850


4-asset optimization. Max-Sharpe: 6.693. Portfolio: return=55.81%, vol=7.74%. Weights: w_XLB=0.7529, w_LINK-USD=0.0126, w_DBB=0.2344, w_IYR=0.0000.

Question:
Assets: XLB, LINK-USD, DBB, IYR
Annualized mean returns: XLB:0.5955, LINK-USD:1.6487, DBB:0.3794, IYR:-0.3874
Covariance matrix (annualized):
[[0.009264, -0.02407, -0.001054, 0.001116], [-0.02407, 2.453784, 0.024663, 0.00222], [-0.001054, 0.024663, 0.018802, 0.002194], [0.001116, 0.00222, 0.002194, 0.010141]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLB=0.7529, w_LINK-USD=0.0126, w_DBB=0.2344, w_IYR=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLB=0.7529, w_LINK-USD=0.0126, w_DBB=0.2344, w_IYR=0.0000
Portfolio annualized return: 55.81%, volatility: 7.74%
Sharpe ratio: (0.5581 - 0.0400) / 0.0774 = 6.6932


4-asset optimization. Max-Sharpe: 4.262. Portfolio: return=47.83%, vol=10.28%. Weights: w_VTI=0.9149, w_ETH-USD=0.0851, w_SHV=0.0000, w_ICSH=0.0000.

Question:
Assets: VTI, ETH-USD, SHV, ICSH
Annualized mean returns: VTI:0.4074, ETH-USD:1.2402, SHV:0.0244, ICSH:0.0335
Covariance matrix (annualized):
[[0.009749, -0.00062, -5.8e-05, -0.000145], [-0.00062, 0.346855, -1.3e-05, 0.000397], [-5.8e-05, -1.3e-05, 7e-06, -1e-06], [-0.000145, 0.000397, -1e-06, 2e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_VTI=0.9149, w_ETH-USD=0.0851, w_SHV=0.0000, w_ICSH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_VTI=0.9149, w_ETH-USD=0.0851, w_SHV=0.0000, w_ICSH=0.0000
Portfolio annualized return: 47.83%, volatility: 10.28%
Sharpe ratio: (0.4783 - 0.0400) / 0.1028 = 4.2618


4-asset optimization. Max-Sharpe: 4.614. Portfolio: return=85.48%, vol=17.66%. Weights: w_XLRE=0.3180, w_ETH-USD=0.2583, w_PDBC=0.4237, w_IEF=0.0000.

Question:
Assets: XLRE, ETH-USD, PDBC, IEF
Annualized mean returns: XLRE:0.3637, ETH-USD:2.1263, PDBC:0.4485, IEF:-0.0868
Covariance matrix (annualized):
[[0.034228, -0.007202, 0.007945, -0.002119], [-0.007202, 0.30834, 0.005943, -0.000616], [0.007945, 0.005943, 0.027313, -0.001674], [-0.002119, -0.000616, -0.001674, 0.002043]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLRE=0.3180, w_ETH-USD=0.2583, w_PDBC=0.4237, w_IEF=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLRE=0.3180, w_ETH-USD=0.2583, w_PDBC=0.4237, w_IEF=0.0000
Portfolio annualized return: 85.48%, volatility: 17.66%
Sharpe ratio: (0.8548 - 0.0400) / 0.1766 = 4.6138


4-asset optimization. Max-Sharpe: 2.032. Portfolio: return=150.34%, vol=72.03%. Weights: w_XLP=0.0000, w_BTC-USD=1.0000, w_STIP=0.0000, w_SOYB=0.0000.

Question:
Assets: XLP, BTC-USD, STIP, SOYB
Annualized mean returns: XLP:-1.3388, BTC-USD:1.5034, STIP:0.0213, SOYB:-0.4613
Covariance matrix (annualized):
[[0.057772, 0.044193, -0.000135, 0.007698], [0.044193, 0.518845, 0.011482, 0.039168], [-0.000135, 0.011482, 0.001306, 0.001928], [0.007698, 0.039168, 0.001928, 0.020942]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLP=0.0000, w_BTC-USD=1.0000, w_STIP=0.0000, w_SOYB=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLP=0.0000, w_BTC-USD=1.0000, w_STIP=0.0000, w_SOYB=0.0000
Portfolio annualized return: 150.34%, volatility: 72.03%
Sharpe ratio: (1.5034 - 0.0400) / 0.7203 = 2.0316


4-asset optimization. Max-Sharpe: 3.565. Portfolio: return=279.50%, vol=77.28%. Weights: w_^VIX=0.2949, w_MATIC-USD=0.7051, w_IAU=0.0000, w_VCIT=0.0000.

Question:
Assets: ^VIX, MATIC-USD, IAU, VCIT
Annualized mean returns: ^VIX:0.4747, MATIC-USD:3.7656, IAU:0.0381, VCIT:0.0356
Covariance matrix (annualized):
[[2.142987, -0.762834, -0.012985, 0.014305], [-0.762834, 1.464535, 0.009501, -0.006312], [-0.012985, 0.009501, 0.013413, 0.001955], [0.014305, -0.006312, 0.001955, 0.002025]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_^VIX=0.2949, w_MATIC-USD=0.7051, w_IAU=0.0000, w_VCIT=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_^VIX=0.2949, w_MATIC-USD=0.7051, w_IAU=0.0000, w_VCIT=0.0000
Portfolio annualized return: 279.50%, volatility: 77.28%
Sharpe ratio: (2.7950 - 0.0400) / 0.7728 = 3.5651


4-asset optimization. Max-Sharpe: 5.752. Portfolio: return=50.66%, vol=8.11%. Weights: w_XLY=0.4529, w_BTC-USD=0.0262, w_REZ=0.5209, w_JNK=0.0000.

Question:
Assets: XLY, BTC-USD, REZ, JNK
Annualized mean returns: XLY:0.4451, BTC-USD:-0.3480, REZ:0.6030, JNK:0.0635
Covariance matrix (annualized):
[[0.010947, -0.00759, 0.001831, 0.001981], [-0.00759, 0.308234, -0.019389, -0.00176], [0.001831, -0.019389, 0.014626, 0.000445], [0.001981, -0.00176, 0.000445, 0.000862]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLY=0.4529, w_BTC-USD=0.0262, w_REZ=0.5209, w_JNK=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLY=0.4529, w_BTC-USD=0.0262, w_REZ=0.5209, w_JNK=0.0000
Portfolio annualized return: 50.66%, volatility: 8.11%
Sharpe ratio: (0.5066 - 0.0400) / 0.0811 = 5.7521


4-asset optimization. Max-Sharpe: 6.992. Portfolio: return=154.40%, vol=21.51%. Weights: w_QUAL=0.0000, w_ETH-USD=0.1050, w_BNO=0.4806, w_ITB=0.4144.

Question:
Assets: QUAL, ETH-USD, BNO, ITB
Annualized mean returns: QUAL:0.2964, ETH-USD:4.6099, BNO:1.2309, ITB:1.1304
Covariance matrix (annualized):
[[0.018981, 0.0297, 0.01358, 0.018895], [0.0297, 1.068212, 0.042732, 0.019052], [0.01358, 0.042732, 0.060969, 0.006871], [0.018895, 0.019052, 0.006871, 0.068147]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_QUAL=0.0000, w_ETH-USD=0.1050, w_BNO=0.4806, w_ITB=0.4144

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_QUAL=0.0000, w_ETH-USD=0.1050, w_BNO=0.4806, w_ITB=0.4144
Portfolio annualized return: 154.40%, volatility: 21.51%
Sharpe ratio: (1.5440 - 0.0400) / 0.2151 = 6.9921


4-asset optimization. Max-Sharpe: 2.085. Portfolio: return=48.01%, vol=21.11%. Weights: w_IWM=0.0000, w_LINK-USD=0.0005, w_TLH=0.4094, w_MORT=0.5901.

Question:
Assets: IWM, LINK-USD, TLH, MORT
Annualized mean returns: IWM:0.2517, LINK-USD:0.7341, TLH:0.2013, MORT:0.6733
Covariance matrix (annualized):
[[0.070847, 0.125251, 0.009016, 0.067239], [0.125251, 0.883934, 0.008499, 0.112417], [0.009016, 0.008499, 0.021704, 0.012601], [0.067239, 0.112417, 0.012601, 0.099787]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_IWM=0.0000, w_LINK-USD=0.0005, w_TLH=0.4094, w_MORT=0.5901

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_IWM=0.0000, w_LINK-USD=0.0005, w_TLH=0.4094, w_MORT=0.5901
Portfolio annualized return: 48.01%, volatility: 21.11%
Sharpe ratio: (0.4801 - 0.0400) / 0.2111 = 2.0851


4-asset optimization. Max-Sharpe: 1.353. Portfolio: return=14.22%, vol=7.56%. Weights: w_VEA=0.3760, w_ADA-USD=0.0000, w_SCHH=0.0000, w_DBA=0.6240.

Question:
Assets: VEA, ADA-USD, SCHH, DBA
Annualized mean returns: VEA:0.1663, ADA-USD:-1.6762, SCHH:-0.5895, DBA:0.1277
Covariance matrix (annualized):
[[0.014364, 0.060552, 0.00839, 0.002654], [0.060552, 3.034537, 0.040125, 0.003298], [0.00839, 0.040125, 0.027041, -0.000761], [0.002654, 0.003298, -0.000761, 0.006256]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_VEA=0.3760, w_ADA-USD=0.0000, w_SCHH=0.0000, w_DBA=0.6240

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_VEA=0.3760, w_ADA-USD=0.0000, w_SCHH=0.0000, w_DBA=0.6240
Portfolio annualized return: 14.22%, volatility: 7.56%
Sharpe ratio: (0.1422 - 0.0400) / 0.0756 = 1.3527


4-asset optimization. Max-Sharpe: 3.032. Portfolio: return=130.08%, vol=41.58%. Weights: w_XLI=0.8406, w_XRP-USD=0.1594, w_TLH=0.0000, w_SCHH=0.0000.

Question:
Assets: XLI, XRP-USD, TLH, SCHH
Annualized mean returns: XLI:0.2207, XRP-USD:6.9978, TLH:-0.2648, SCHH:-0.6311
Covariance matrix (annualized):
[[0.018759, 0.056528, -0.001918, 0.009097], [0.056528, 5.688319, 0.032203, 0.086243], [-0.001918, 0.032203, 0.003727, 0.002244], [0.009097, 0.086243, 0.002244, 0.025982]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLI=0.8406, w_XRP-USD=0.1594, w_TLH=0.0000, w_SCHH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLI=0.8406, w_XRP-USD=0.1594, w_TLH=0.0000, w_SCHH=0.0000
Portfolio annualized return: 130.08%, volatility: 41.58%
Sharpe ratio: (1.3008 - 0.0400) / 0.4158 = 3.0322


4-asset optimization. Max-Sharpe: 0.637. Portfolio: return=17.98%, vol=21.93%. Weights: w_XLU=0.8358, w_ETH-USD=0.1642, w_IYR=0.0000, w_PDBC=0.0000.

Question:
Assets: XLU, ETH-USD, IYR, PDBC
Annualized mean returns: XLU:0.1296, ETH-USD:0.4350, IYR:-0.0786, PDBC:-0.3729
Covariance matrix (annualized):
[[0.029043, 0.039968, 0.019808, -0.000332], [0.039968, 0.624074, 0.043565, 0.010313], [0.019808, 0.043565, 0.029701, 0.000272], [-0.000332, 0.010313, 0.000272, 0.019852]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLU=0.8358, w_ETH-USD=0.1642, w_IYR=0.0000, w_PDBC=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLU=0.8358, w_ETH-USD=0.1642, w_IYR=0.0000, w_PDBC=0.0000
Portfolio annualized return: 17.98%, volatility: 21.93%
Sharpe ratio: (0.1798 - 0.0400) / 0.2193 = 0.6374


4-asset optimization. Max-Sharpe: 5.257. Portfolio: return=63.94%, vol=11.40%. Weights: w_XLB=0.3166, w_BNB-USD=0.0291, w_IAU=0.6543, w_SHY=0.0000.

Question:
Assets: XLB, BNB-USD, IAU, SHY
Annualized mean returns: XLB:0.6366, BNB-USD:3.1160, IAU:0.5305, SHY:0.0060
Covariance matrix (annualized):
[[0.025224, 0.03881, 0.005842, 6.7e-05], [0.03881, 2.249417, -0.016915, 0.001181], [0.005842, -0.016915, 0.014184, 0.000205], [6.7e-05, 0.001181, 0.000205, 1.3e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLB=0.3166, w_BNB-USD=0.0291, w_IAU=0.6543, w_SHY=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLB=0.3166, w_BNB-USD=0.0291, w_IAU=0.6543, w_SHY=0.0000
Portfolio annualized return: 63.94%, volatility: 11.40%
Sharpe ratio: (0.6394 - 0.0400) / 0.1140 = 5.2572


4-asset optimization. Max-Sharpe: 0.051. Portfolio: return=5.17%, vol=22.91%. Weights: w_XLY=0.0000, w_BTC-USD=0.0000, w_SCHH=1.0000, w_ICSH=0.0000.

Question:
Assets: XLY, BTC-USD, SCHH, ICSH
Annualized mean returns: XLY:-0.1738, BTC-USD:-0.9204, SCHH:0.0517, ICSH:0.0338
Covariance matrix (annualized):
[[0.067435, -0.03051, 0.037045, -0.00037], [-0.03051, 0.423609, -0.063669, 0.000412], [0.037045, -0.063669, 0.052502, -0.000275], [-0.00037, 0.000412, -0.000275, 1.5e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLY=0.0000, w_BTC-USD=0.0000, w_SCHH=1.0000, w_ICSH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLY=0.0000, w_BTC-USD=0.0000, w_SCHH=1.0000, w_ICSH=0.0000
Portfolio annualized return: 5.17%, volatility: 22.91%
Sharpe ratio: (0.0517 - 0.0400) / 0.2291 = 0.0512


4-asset optimization. Max-Sharpe: 8.609. Portfolio: return=24.47%, vol=2.38%. Weights: w_IVV=0.0505, w_ADA-USD=0.0089, w_IEF=0.8966, w_ITB=0.0440.

Question:
Assets: IVV, ADA-USD, IEF, ITB
Annualized mean returns: IVV:0.3943, ADA-USD:2.0329, IEF:0.1777, ITB:1.0778
Covariance matrix (annualized):
[[0.033325, 0.03745, -0.003517, 0.04807], [0.03745, 0.672592, -0.004762, 0.043463], [-0.003517, -0.004762, 0.00099, -0.006529], [0.04807, 0.043463, -0.006529, 0.134139]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_IVV=0.0505, w_ADA-USD=0.0089, w_IEF=0.8966, w_ITB=0.0440

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_IVV=0.0505, w_ADA-USD=0.0089, w_IEF=0.8966, w_ITB=0.0440
Portfolio annualized return: 24.47%, volatility: 2.38%
Sharpe ratio: (0.2447 - 0.0400) / 0.0238 = 8.6088


4-asset optimization. Max-Sharpe: 0.272. Portfolio: return=9.51%, vol=20.26%. Weights: w_IVV=1.0000, w_MATIC-USD=0.0000, w_ICSH=0.0000, w_SCHP=0.0000.

Question:
Assets: IVV, MATIC-USD, ICSH, SCHP
Annualized mean returns: IVV:0.0951, MATIC-USD:-2.3707, ICSH:0.0053, SCHP:0.0183
Covariance matrix (annualized):
[[0.041042, 0.091996, -0.000158, 0.00115], [0.091996, 0.830765, -0.00021, 0.009564], [-0.000158, -0.00021, 1.2e-05, 3e-05], [0.00115, 0.009564, 3e-05, 0.000798]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_IVV=1.0000, w_MATIC-USD=0.0000, w_ICSH=0.0000, w_SCHP=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_IVV=1.0000, w_MATIC-USD=0.0000, w_ICSH=0.0000, w_SCHP=0.0000
Portfolio annualized return: 9.51%, volatility: 20.26%
Sharpe ratio: (0.0951 - 0.0400) / 0.2026 = 0.2718


4-asset optimization. Max-Sharpe: 4.036. Portfolio: return=453.42%, vol=111.36%. Weights: w_^VIX=0.0171, w_AVAX-USD=0.8877, w_VNQ=0.0951, w_SGOV=0.0000.

Question:
Assets: ^VIX, AVAX-USD, VNQ, SGOV
Annualized mean returns: ^VIX:-0.6667, AVAX-USD:5.1006, VNQ:0.1851, SGOV:0.0007
Covariance matrix (annualized):
[[0.882017, -0.227479, -0.085778, -2.7e-05], [-0.227479, 1.572535, 0.043819, 8.3e-05], [-0.085778, 0.043819, 0.027358, 5e-06], [-2.7e-05, 8.3e-05, 5e-06, 0.0]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_^VIX=0.0171, w_AVAX-USD=0.8877, w_VNQ=0.0951, w_SGOV=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_^VIX=0.0171, w_AVAX-USD=0.8877, w_VNQ=0.0951, w_SGOV=0.0000
Portfolio annualized return: 453.42%, volatility: 111.36%
Sharpe ratio: (4.5342 - 0.0400) / 1.1136 = 4.0359


4-asset optimization. Max-Sharpe: 3.303. Portfolio: return=46.39%, vol=12.83%. Weights: w_VLUE=0.0000, w_DOT-USD=0.0000, w_PDBC=0.2614, w_SCHH=0.7386.

Question:
Assets: VLUE, DOT-USD, PDBC, SCHH
Annualized mean returns: VLUE:-0.1481, DOT-USD:-1.5722, PDBC:0.3776, SCHH:0.4945
Covariance matrix (annualized):
[[0.020022, 0.023669, 0.014754, 0.012205], [0.023669, 1.881361, 0.030814, -0.001134], [0.014754, 0.030814, 0.032295, 0.006331], [0.012205, -0.001134, 0.006331, 0.021664]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_VLUE=0.0000, w_DOT-USD=0.0000, w_PDBC=0.2614, w_SCHH=0.7386

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_VLUE=0.0000, w_DOT-USD=0.0000, w_PDBC=0.2614, w_SCHH=0.7386
Portfolio annualized return: 46.39%, volatility: 12.83%
Sharpe ratio: (0.4639 - 0.0400) / 0.1283 = 3.3033


4-asset optimization. Max-Sharpe: 1.124. Portfolio: return=140.86%, vol=121.76%. Weights: w_XLU=0.0000, w_MATIC-USD=1.0000, w_VNQI=0.0000, w_GLD=0.0000.

Question:
Assets: XLU, MATIC-USD, VNQI, GLD
Annualized mean returns: XLU:-0.0668, MATIC-USD:1.4086, VNQI:-0.1213, GLD:-0.2046
Covariance matrix (annualized):
[[0.014459, 0.048817, 0.003868, 0.003127], [0.048817, 1.482646, 0.069402, 0.043585], [0.003868, 0.069402, 0.016933, 0.00636], [0.003127, 0.043585, 0.00636, 0.021124]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLU=0.0000, w_MATIC-USD=1.0000, w_VNQI=0.0000, w_GLD=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLU=0.0000, w_MATIC-USD=1.0000, w_VNQI=0.0000, w_GLD=0.0000
Portfolio annualized return: 140.86%, volatility: 121.76%
Sharpe ratio: (1.4086 - 0.0400) / 1.2176 = 1.1240


4-asset optimization. Max-Sharpe: -1.876. Portfolio: return=-45.68%, vol=26.48%. Weights: w_XLF=1.0000, w_LINK-USD=0.0000, w_BIL=0.0000, w_VCIT=0.0000.

Question:
Assets: XLF, LINK-USD, BIL, VCIT
Annualized mean returns: XLF:-0.4568, LINK-USD:-4.8359, BIL:0.0028, VCIT:-0.1381
Covariance matrix (annualized):
[[0.070107, 0.136939, 0.000228, 0.005547], [0.136939, 1.071285, 0.000544, 0.009157], [0.000228, 0.000544, 4e-06, 3.7e-05], [0.005547, 0.009157, 3.7e-05, 0.006378]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLF=1.0000, w_LINK-USD=0.0000, w_BIL=0.0000, w_VCIT=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLF=1.0000, w_LINK-USD=0.0000, w_BIL=0.0000, w_VCIT=0.0000
Portfolio annualized return: -45.68%, volatility: 26.48%
Sharpe ratio: (-0.4568 - 0.0400) / 0.2648 = -1.8762


4-asset optimization. Max-Sharpe: 4.649. Portfolio: return=12.77%, vol=1.89%. Weights: w_EFA=0.0422, w_ETH-USD=0.0000, w_VNQI=0.0000, w_TIP=0.9578.

Question:
Assets: EFA, ETH-USD, VNQI, TIP
Annualized mean returns: EFA:0.7856, ETH-USD:0.8100, VNQI:0.6302, TIP:0.0987
Covariance matrix (annualized):
[[0.044405, 0.042726, 0.040705, 0.001201], [0.042726, 0.21129, 0.027608, 0.001729], [0.040705, 0.027608, 0.049257, 0.001172], [0.001201, 0.001729, 0.001172, 0.000196]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EFA=0.0422, w_ETH-USD=0.0000, w_VNQI=0.0000, w_TIP=0.9578

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EFA=0.0422, w_ETH-USD=0.0000, w_VNQI=0.0000, w_TIP=0.9578
Portfolio annualized return: 12.77%, volatility: 1.89%
Sharpe ratio: (0.1277 - 0.0400) / 0.0189 = 4.6491


4-asset optimization. Max-Sharpe: -1.528. Portfolio: return=-102.33%, vol=69.57%. Weights: w_MTUM=0.0000, w_ETH-USD=1.0000, w_PDBC=0.0000, w_VCIT=0.0000.

Question:
Assets: MTUM, ETH-USD, PDBC, VCIT
Annualized mean returns: MTUM:-0.3355, ETH-USD:-1.0233, PDBC:-0.3257, VCIT:0.0411
Covariance matrix (annualized):
[[0.040665, 0.048679, 0.019305, -0.002019], [0.048679, 0.483959, 0.026027, -0.006287], [0.019305, 0.026027, 0.034921, -0.002075], [-0.002019, -0.006287, -0.002075, 0.002121]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_MTUM=0.0000, w_ETH-USD=1.0000, w_PDBC=0.0000, w_VCIT=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_MTUM=0.0000, w_ETH-USD=1.0000, w_PDBC=0.0000, w_VCIT=0.0000
Portfolio annualized return: -102.33%, volatility: 69.57%
Sharpe ratio: (-1.0233 - 0.0400) / 0.6957 = -1.5284


4-asset optimization. Max-Sharpe: -0.451. Portfolio: return=-4.76%, vol=19.43%. Weights: w_XLI=1.0000, w_ADA-USD=0.0000, w_STIP=0.0000, w_HAUZ=0.0000.

Question:
Assets: XLI, ADA-USD, STIP, HAUZ
Annualized mean returns: XLI:-0.0476, ADA-USD:-1.9505, STIP:0.0178, HAUZ:-0.0511
Covariance matrix (annualized):
[[0.037758, 0.000452, -0.000767, 0.015604], [0.000452, 0.335923, -0.001229, 0.005187], [-0.000767, -0.001229, 0.000287, 5.3e-05], [0.015604, 0.005187, 5.3e-05, 0.013557]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLI=1.0000, w_ADA-USD=0.0000, w_STIP=0.0000, w_HAUZ=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLI=1.0000, w_ADA-USD=0.0000, w_STIP=0.0000, w_HAUZ=0.0000
Portfolio annualized return: -4.76%, volatility: 19.43%
Sharpe ratio: (-0.0476 - 0.0400) / 0.1943 = -0.4506


4-asset optimization. Max-Sharpe: 3.894. Portfolio: return=31.96%, vol=7.18%. Weights: w_XLI=0.0077, w_MATIC-USD=0.0000, w_SCHH=0.4034, w_TLH=0.5889.

Question:
Assets: XLI, MATIC-USD, SCHH, TLH
Annualized mean returns: XLI:-0.0686, MATIC-USD:-0.7115, SCHH:0.2670, TLH:0.3606
Covariance matrix (annualized):
[[0.03792, 0.012819, 0.015884, -0.014777], [0.012819, 1.697238, 0.006275, -0.001497], [0.015884, 0.006275, 0.015064, -0.003421], [-0.014777, -0.001497, -0.003421, 0.012574]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLI=0.0077, w_MATIC-USD=0.0000, w_SCHH=0.4034, w_TLH=0.5889

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLI=0.0077, w_MATIC-USD=0.0000, w_SCHH=0.4034, w_TLH=0.5889
Portfolio annualized return: 31.96%, volatility: 7.18%
Sharpe ratio: (0.3196 - 0.0400) / 0.0718 = 3.8943


4-asset optimization. Max-Sharpe: -0.174. Portfolio: return=-0.59%, vol=26.39%. Weights: w_EEM=0.0000, w_BTC-USD=0.0000, w_BIL=0.0000, w_WEAT=1.0000.

Question:
Assets: EEM, BTC-USD, BIL, WEAT
Annualized mean returns: EEM:-0.1311, BTC-USD:-2.2608, BIL:-0.0013, WEAT:-0.0059
Covariance matrix (annualized):
[[0.023105, 0.042626, 7.6e-05, 0.008908], [0.042626, 0.25999, 8.5e-05, 0.01056], [7.6e-05, 8.5e-05, 2e-06, -3e-06], [0.008908, 0.01056, -3e-06, 0.069659]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EEM=0.0000, w_BTC-USD=0.0000, w_BIL=0.0000, w_WEAT=1.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EEM=0.0000, w_BTC-USD=0.0000, w_BIL=0.0000, w_WEAT=1.0000
Portfolio annualized return: -0.59%, volatility: 26.39%
Sharpe ratio: (-0.0059 - 0.0400) / 0.2639 = -0.1739


4-asset optimization. Max-Sharpe: -1.713. Portfolio: return=-43.06%, vol=27.47%. Weights: w_EWJ=0.0000, w_BTC-USD=0.0000, w_DBC=0.0000, w_IYR=1.0000.

Question:
Assets: EWJ, BTC-USD, DBC, IYR
Annualized mean returns: EWJ:-0.5076, BTC-USD:-4.5380, DBC:-0.1963, IYR:-0.4306
Covariance matrix (annualized):
[[0.039087, 0.086596, 0.016314, 0.043193], [0.086596, 0.430088, 0.016606, 0.103834], [0.016314, 0.016606, 0.047726, 0.015393], [0.043193, 0.103834, 0.015393, 0.075465]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EWJ=0.0000, w_BTC-USD=0.0000, w_DBC=0.0000, w_IYR=1.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EWJ=0.0000, w_BTC-USD=0.0000, w_DBC=0.0000, w_IYR=1.0000
Portfolio annualized return: -43.06%, volatility: 27.47%
Sharpe ratio: (-0.4306 - 0.0400) / 0.2747 = -1.7132


4-asset optimization. Max-Sharpe: 6.367. Portfolio: return=92.94%, vol=13.97%. Weights: w_VEA=0.0000, w_MATIC-USD=0.0000, w_TLT=0.0000, w_DBC=1.0000.

Question:
Assets: VEA, MATIC-USD, TLT, DBC
Annualized mean returns: VEA:-0.0475, MATIC-USD:-0.1547, TLT:-0.3517, DBC:0.9294
Covariance matrix (annualized):
[[0.018736, 0.093443, -0.006203, 0.012596], [0.093443, 1.271873, -0.029452, 0.088095], [-0.006203, -0.029452, 0.02233, -0.007204], [0.012596, 0.088095, -0.007204, 0.019516]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_VEA=0.0000, w_MATIC-USD=0.0000, w_TLT=0.0000, w_DBC=1.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_VEA=0.0000, w_MATIC-USD=0.0000, w_TLT=0.0000, w_DBC=1.0000
Portfolio annualized return: 92.94%, volatility: 13.97%
Sharpe ratio: (0.9294 - 0.0400) / 0.1397 = 6.3666


4-asset optimization. Max-Sharpe: 0.561. Portfolio: return=39.94%, vol=64.11%. Weights: w_IVV=0.0000, w_BNB-USD=1.0000, w_CORN=0.0000, w_LQD=0.0000.

Question:
Assets: IVV, BNB-USD, CORN, LQD
Annualized mean returns: IVV:-0.0683, BNB-USD:0.3994, CORN:-0.0662, LQD:-0.1268
Covariance matrix (annualized):
[[0.016697, 0.022629, -0.000164, 0.000716], [0.022629, 0.41103, 0.012229, -0.002969], [-0.000164, 0.012229, 0.027414, 0.000706], [0.000716, -0.002969, 0.000706, 0.001634]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_IVV=0.0000, w_BNB-USD=1.0000, w_CORN=0.0000, w_LQD=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_IVV=0.0000, w_BNB-USD=1.0000, w_CORN=0.0000, w_LQD=0.0000
Portfolio annualized return: 39.94%, volatility: 64.11%
Sharpe ratio: (0.3994 - 0.0400) / 0.6411 = 0.5606


4-asset optimization. Max-Sharpe: -1.034. Portfolio: return=-86.60%, vol=87.62%. Weights: w_EFA=0.0000, w_ADA-USD=1.0000, w_SCHP=0.0000, w_BIL=0.0000.

Question:
Assets: EFA, ADA-USD, SCHP, BIL
Annualized mean returns: EFA:-0.3886, ADA-USD:-0.8660, SCHP:-0.0357, BIL:0.0059
Covariance matrix (annualized):
[[0.048483, 0.095952, 0.00649, -9e-06], [0.095952, 0.7678, 0.002715, -5.5e-05], [0.00649, 0.002715, 0.006599, 9e-06], [-9e-06, -5.5e-05, 9e-06, 5e-06]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EFA=0.0000, w_ADA-USD=1.0000, w_SCHP=0.0000, w_BIL=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EFA=0.0000, w_ADA-USD=1.0000, w_SCHP=0.0000, w_BIL=0.0000
Portfolio annualized return: -86.60%, volatility: 87.62%
Sharpe ratio: (-0.8660 - 0.0400) / 0.8762 = -1.0340


4-asset optimization. Max-Sharpe: 2.337. Portfolio: return=34.83%, vol=13.19%. Weights: w_FXI=0.0000, w_XRP-USD=0.0000, w_PALL=0.5156, w_INDS=0.4844.

Question:
Assets: FXI, XRP-USD, PALL, INDS
Annualized mean returns: FXI:-0.2385, XRP-USD:-1.7464, PALL:0.4804, INDS:0.2077
Covariance matrix (annualized):
[[0.086974, 0.071083, 0.024845, -0.003536], [0.071083, 0.716494, 0.004411, 0.035688], [0.024845, 0.004411, 0.057726, -0.010117], [-0.003536, 0.035688, -0.010117, 0.030314]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_FXI=0.0000, w_XRP-USD=0.0000, w_PALL=0.5156, w_INDS=0.4844

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_FXI=0.0000, w_XRP-USD=0.0000, w_PALL=0.5156, w_INDS=0.4844
Portfolio annualized return: 34.83%, volatility: 13.19%
Sharpe ratio: (0.3483 - 0.0400) / 0.1319 = 2.3366


4-asset optimization. Max-Sharpe: -0.453. Portfolio: return=-6.28%, vol=22.67%. Weights: w_XLV=1.0000, w_LINK-USD=0.0000, w_DBB=0.0000, w_IEF=0.0000.

Question:
Assets: XLV, LINK-USD, DBB, IEF
Annualized mean returns: XLV:-0.0628, LINK-USD:-3.8513, DBB:-1.1185, IEF:-0.0335
Covariance matrix (annualized):
[[0.05138, 0.128042, 0.029985, 0.006259], [0.128042, 1.436845, 0.079059, -0.006326], [0.029985, 0.079059, 0.064159, 0.004374], [0.006259, -0.006326, 0.004374, 0.010222]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLV=1.0000, w_LINK-USD=0.0000, w_DBB=0.0000, w_IEF=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLV=1.0000, w_LINK-USD=0.0000, w_DBB=0.0000, w_IEF=0.0000
Portfolio annualized return: -6.28%, volatility: 22.67%
Sharpe ratio: (-0.0628 - 0.0400) / 0.2267 = -0.4534


4-asset optimization. Max-Sharpe: 2.736. Portfolio: return=12.74%, vol=3.19%. Weights: w_MTUM=0.0493, w_LINK-USD=0.0079, w_BNO=0.0000, w_SCHP=0.9428.

Question:
Assets: MTUM, LINK-USD, BNO, SCHP
Annualized mean returns: MTUM:0.0549, LINK-USD:1.0795, BNO:-0.3136, SCHP:0.1232
Covariance matrix (annualized):
[[0.027224, -0.008193, 0.015071, -0.001169], [-0.008193, 1.217882, -0.021205, 0.003048], [0.015071, -0.021205, 0.09257, -0.004341], [-0.001169, 0.003048, -0.004341, 0.001065]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_MTUM=0.0493, w_LINK-USD=0.0079, w_BNO=0.0000, w_SCHP=0.9428

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_MTUM=0.0493, w_LINK-USD=0.0079, w_BNO=0.0000, w_SCHP=0.9428
Portfolio annualized return: 12.74%, volatility: 3.19%
Sharpe ratio: (0.1274 - 0.0400) / 0.0319 = 2.7361


4-asset optimization. Max-Sharpe: 3.414. Portfolio: return=49.66%, vol=13.37%. Weights: w_QQQ=0.6880, w_ADA-USD=0.0547, w_VCIT=0.0000, w_WEAT=0.2573.

Question:
Assets: QQQ, ADA-USD, VCIT, WEAT
Annualized mean returns: QQQ:0.4534, ADA-USD:1.9794, VCIT:-0.0044, WEAT:0.2972
Covariance matrix (annualized):
[[0.027201, -0.01423, 0.001003, -0.006767], [-0.01423, 1.775062, -0.000802, -0.043788], [0.001003, -0.000802, 0.000634, 0.001309], [-0.006767, -0.043788, 0.001309, 0.066539]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_QQQ=0.6880, w_ADA-USD=0.0547, w_VCIT=0.0000, w_WEAT=0.2573

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_QQQ=0.6880, w_ADA-USD=0.0547, w_VCIT=0.0000, w_WEAT=0.2573
Portfolio annualized return: 49.66%, volatility: 13.37%
Sharpe ratio: (0.4966 - 0.0400) / 0.1337 = 3.4142


4-asset optimization. Max-Sharpe: 3.351. Portfolio: return=32.89%, vol=8.62%. Weights: w_XLE=0.3790, w_BTC-USD=0.0925, w_BNDX=0.5107, w_XHB=0.0179.

Question:
Assets: XLE, BTC-USD, BNDX, XHB
Annualized mean returns: XLE:0.2329, BTC-USD:2.3515, BNDX:0.0416, XHB:0.1105
Covariance matrix (annualized):
[[0.012821, 0.003922, -0.000576, 0.002], [0.003922, 0.621975, 0.000516, 0.010984], [-0.000576, 0.000516, 0.000428, -0.000444], [0.002, 0.010984, -0.000444, 0.01493]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLE=0.3790, w_BTC-USD=0.0925, w_BNDX=0.5107, w_XHB=0.0179

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLE=0.3790, w_BTC-USD=0.0925, w_BNDX=0.5107, w_XHB=0.0179
Portfolio annualized return: 32.89%, volatility: 8.62%
Sharpe ratio: (0.3289 - 0.0400) / 0.0862 = 3.3513


4-asset optimization. Max-Sharpe: 4.511. Portfolio: return=694.30%, vol=153.02%. Weights: w_^VIX=0.0000, w_SOL-USD=1.0000, w_ICSH=0.0000, w_JNK=0.0000.

Question:
Assets: ^VIX, SOL-USD, ICSH, JNK
Annualized mean returns: ^VIX:-1.5232, SOL-USD:6.9430, ICSH:0.0037, JNK:0.0281
Covariance matrix (annualized):
[[1.507714, -0.487888, -0.001451, -0.045977], [-0.487888, 2.341639, 0.001495, 0.030733], [-0.001451, 0.001495, 1.2e-05, 5e-05], [-0.045977, 0.030733, 5e-05, 0.002964]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_^VIX=0.0000, w_SOL-USD=1.0000, w_ICSH=0.0000, w_JNK=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_^VIX=0.0000, w_SOL-USD=1.0000, w_ICSH=0.0000, w_JNK=0.0000
Portfolio annualized return: 694.30%, volatility: 153.02%
Sharpe ratio: (6.9430 - 0.0400) / 1.5302 = 4.5111


4-asset optimization. Max-Sharpe: 0.252. Portfolio: return=16.97%, vol=51.49%. Weights: w_USMV=0.0000, w_DOT-USD=1.0000, w_REZ=0.0000, w_ICSH=0.0000.

Question:
Assets: USMV, DOT-USD, REZ, ICSH
Annualized mean returns: USMV:-0.2032, DOT-USD:0.1697, REZ:-1.0332, ICSH:0.0048
Covariance matrix (annualized):
[[0.041972, 0.040442, 0.043835, 0.000495], [0.040442, 0.26509, 0.041341, 0.001089], [0.043835, 0.041341, 0.074037, 0.000591], [0.000495, 0.001089, 0.000591, 2.6e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_USMV=0.0000, w_DOT-USD=1.0000, w_REZ=0.0000, w_ICSH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_USMV=0.0000, w_DOT-USD=1.0000, w_REZ=0.0000, w_ICSH=0.0000
Portfolio annualized return: 16.97%, volatility: 51.49%
Sharpe ratio: (0.1697 - 0.0400) / 0.5149 = 0.2519


4-asset optimization. Max-Sharpe: 6.734. Portfolio: return=651.13%, vol=96.09%. Weights: w_XLB=0.1983, w_BNB-USD=0.5653, w_TLT=0.0000, w_UNG=0.2364.

Question:
Assets: XLB, BNB-USD, TLT, UNG
Annualized mean returns: XLB:0.3052, BNB-USD:10.9694, TLT:-0.6570, UNG:1.0549
Covariance matrix (annualized):
[[0.037659, 0.051258, -0.009361, 0.005895], [0.051258, 2.691392, 0.013436, 0.117589], [-0.009361, 0.013436, 0.011995, 0.009317], [0.005895, 0.117589, 0.009317, 0.326524]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLB=0.1983, w_BNB-USD=0.5653, w_TLT=0.0000, w_UNG=0.2364

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLB=0.1983, w_BNB-USD=0.5653, w_TLT=0.0000, w_UNG=0.2364
Portfolio annualized return: 651.13%, volatility: 96.09%
Sharpe ratio: (6.5113 - 0.0400) / 0.9609 = 6.7344


4-asset optimization. Max-Sharpe: 4.562. Portfolio: return=88.97%, vol=18.63%. Weights: w_ACWI=0.8029, w_ETH-USD=0.1971, w_SCHH=0.0000, w_TLT=0.0000.

Question:
Assets: ACWI, ETH-USD, SCHH, TLT
Annualized mean returns: ACWI:0.5800, ETH-USD:2.1515, SCHH:0.3934, TLT:-0.1412
Covariance matrix (annualized):
[[0.02676, 0.002849, 0.025049, -0.00414], [0.002849, 0.425818, -0.014615, 0.004148], [0.025049, -0.014615, 0.039985, -0.010924], [-0.00414, 0.004148, -0.010924, 0.019487]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_ACWI=0.8029, w_ETH-USD=0.1971, w_SCHH=0.0000, w_TLT=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_ACWI=0.8029, w_ETH-USD=0.1971, w_SCHH=0.0000, w_TLT=0.0000
Portfolio annualized return: 88.97%, volatility: 18.63%
Sharpe ratio: (0.8897 - 0.0400) / 0.1863 = 4.5619


4-asset optimization. Max-Sharpe: 2.792. Portfolio: return=66.63%, vol=22.43%. Weights: w_ACWI=0.0000, w_BTC-USD=0.1907, w_PDBC=0.4663, w_ITB=0.3430.

Question:
Assets: ACWI, BTC-USD, PDBC, ITB
Annualized mean returns: ACWI:0.1346, BTC-USD:1.2922, PDBC:0.3758, ITB:0.7133
Covariance matrix (annualized):
[[0.02285, 0.047829, 0.008176, 0.032123], [0.047829, 0.435812, 0.004682, 0.044689], [0.008176, 0.004682, 0.048323, 0.010365], [0.032123, 0.044689, 0.010365, 0.118788]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_ACWI=0.0000, w_BTC-USD=0.1907, w_PDBC=0.4663, w_ITB=0.3430

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_ACWI=0.0000, w_BTC-USD=0.1907, w_PDBC=0.4663, w_ITB=0.3430
Portfolio annualized return: 66.63%, volatility: 22.43%
Sharpe ratio: (0.6663 - 0.0400) / 0.2243 = 2.7919


4-asset optimization. Max-Sharpe: 5.579. Portfolio: return=94.19%, vol=16.17%. Weights: w_XLRE=0.0000, w_XRP-USD=0.0147, w_CORN=0.9853, w_SGOV=0.0000.

Question:
Assets: XLRE, XRP-USD, CORN, SGOV
Annualized mean returns: XLRE:-0.0672, XRP-USD:2.3689, CORN:0.9206, SGOV:0.0004
Covariance matrix (annualized):
[[0.028973, -0.006153, 5e-05, 3e-06], [-0.006153, 3.616786, 0.014431, 0.000442], [5e-05, 0.014431, 0.025682, 2.6e-05], [3e-06, 0.000442, 2.6e-05, 0.0]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLRE=0.0000, w_XRP-USD=0.0147, w_CORN=0.9853, w_SGOV=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLRE=0.0000, w_XRP-USD=0.0147, w_CORN=0.9853, w_SGOV=0.0000
Portfolio annualized return: 94.19%, volatility: 16.17%
Sharpe ratio: (0.9419 - 0.0400) / 0.1617 = 5.5789


4-asset optimization. Max-Sharpe: 3.622. Portfolio: return=10.92%, vol=1.91%. Weights: w_EWJ=0.0137, w_BNB-USD=0.0074, w_SGOV=0.0000, w_BNDX=0.9789.

Question:
Assets: EWJ, BNB-USD, SGOV, BNDX
Annualized mean returns: EWJ:-0.0572, BNB-USD:1.0572, SGOV:0.0005, BNDX:0.1044
Covariance matrix (annualized):
[[0.01798, -0.004668, 1.6e-05, -0.00074], [-0.004668, 0.680476, -2.6e-05, 0.000415], [1.6e-05, -2.6e-05, 1e-06, -3e-06], [-0.00074, 0.000415, -3e-06, 0.000354]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EWJ=0.0137, w_BNB-USD=0.0074, w_SGOV=0.0000, w_BNDX=0.9789

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EWJ=0.0137, w_BNB-USD=0.0074, w_SGOV=0.0000, w_BNDX=0.9789
Portfolio annualized return: 10.92%, volatility: 1.91%
Sharpe ratio: (0.1092 - 0.0400) / 0.0191 = 3.6218


4-asset optimization. Max-Sharpe: 4.643. Portfolio: return=129.77%, vol=27.09%. Weights: w_EEM=0.0986, w_ETH-USD=0.3514, w_CPER=0.5500, w_BIL=0.0000.

Question:
Assets: EEM, ETH-USD, CPER, BIL
Annualized mean returns: EEM:0.8698, ETH-USD:2.3093, CPER:0.7281, BIL:0.0009
Covariance matrix (annualized):
[[0.074832, 0.042286, 0.047594, 6.7e-05], [0.042286, 0.350169, 0.009426, -0.000254], [0.047594, 0.009426, 0.058433, 3.3e-05], [6.7e-05, -0.000254, 3.3e-05, 3e-06]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EEM=0.0986, w_ETH-USD=0.3514, w_CPER=0.5500, w_BIL=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EEM=0.0986, w_ETH-USD=0.3514, w_CPER=0.5500, w_BIL=0.0000
Portfolio annualized return: 129.77%, volatility: 27.09%
Sharpe ratio: (1.2977 - 0.0400) / 0.2709 = 4.6429


4-asset optimization. Max-Sharpe: 1.784. Portfolio: return=15.87%, vol=6.65%. Weights: w_QUAL=1.0000, w_ETH-USD=0.0000, w_DBB=0.0000, w_ICSH=0.0000.

Question:
Assets: QUAL, ETH-USD, DBB, ICSH
Annualized mean returns: QUAL:0.1587, ETH-USD:-1.4509, DBB:0.0946, ICSH:0.0239
Covariance matrix (annualized):
[[0.004421, 0.025782, 0.006116, -2.1e-05], [0.025782, 0.87606, 0.026579, -0.000903], [0.006116, 0.026579, 0.042145, -6.3e-05], [-2.1e-05, -0.000903, -6.3e-05, 1.4e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_QUAL=1.0000, w_ETH-USD=0.0000, w_DBB=0.0000, w_ICSH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_QUAL=1.0000, w_ETH-USD=0.0000, w_DBB=0.0000, w_ICSH=0.0000
Portfolio annualized return: 15.87%, volatility: 6.65%
Sharpe ratio: (0.1587 - 0.0400) / 0.0665 = 1.7844


4-asset optimization. Max-Sharpe: 4.043. Portfolio: return=71.41%, vol=16.67%. Weights: w_XLU=0.0000, w_BTC-USD=0.0578, w_ITB=0.9422, w_UNG=0.0000.

Question:
Assets: XLU, BTC-USD, ITB, UNG
Annualized mean returns: XLU:-0.6476, BTC-USD:1.7048, ITB:0.6532, UNG:-0.1560
Covariance matrix (annualized):
[[0.011839, 0.003189, 0.003052, 0.009215], [0.003189, 1.167609, 0.0012, -0.147319], [0.003052, 0.0012, 0.026771, 0.016673], [0.009215, -0.147319, 0.016673, 0.22386]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLU=0.0000, w_BTC-USD=0.0578, w_ITB=0.9422, w_UNG=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLU=0.0000, w_BTC-USD=0.0578, w_ITB=0.9422, w_UNG=0.0000
Portfolio annualized return: 71.41%, volatility: 16.67%
Sharpe ratio: (0.7141 - 0.0400) / 0.1667 = 4.0428


4-asset optimization. Max-Sharpe: 4.385. Portfolio: return=656.84%, vol=148.87%. Weights: w_XLK=0.0000, w_DOT-USD=1.0000, w_BIL=0.0000, w_INDS=0.0000.

Question:
Assets: XLK, DOT-USD, BIL, INDS
Annualized mean returns: XLK:-0.0284, DOT-USD:6.5684, BIL:-0.0007, INDS:-0.0473
Covariance matrix (annualized):
[[0.055467, 0.055565, -7.1e-05, 0.025867], [0.055565, 2.216275, 0.000157, 0.063283], [-7.1e-05, 0.000157, 2e-06, -4.8e-05], [0.025867, 0.063283, -4.8e-05, 0.03377]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLK=0.0000, w_DOT-USD=1.0000, w_BIL=0.0000, w_INDS=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLK=0.0000, w_DOT-USD=1.0000, w_BIL=0.0000, w_INDS=0.0000
Portfolio annualized return: 656.84%, volatility: 148.87%
Sharpe ratio: (6.5684 - 0.0400) / 1.4887 = 4.3852


4-asset optimization. Max-Sharpe: 2.004. Portfolio: return=67.01%, vol=31.44%. Weights: w_VTI=0.6142, w_BTC-USD=0.3858, w_LQD=0.0000, w_GLD=0.0000.

Question:
Assets: VTI, BTC-USD, LQD, GLD
Annualized mean returns: VTI:0.2672, BTC-USD:1.3114, LQD:-0.1809, GLD:-0.3411
Covariance matrix (annualized):
[[0.028126, 0.047606, 0.006153, 0.01111], [0.047606, 0.441074, 0.003856, 0.002126], [0.006153, 0.003856, 0.007523, 0.003577], [0.01111, 0.002126, 0.003577, 0.023519]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_VTI=0.6142, w_BTC-USD=0.3858, w_LQD=0.0000, w_GLD=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_VTI=0.6142, w_BTC-USD=0.3858, w_LQD=0.0000, w_GLD=0.0000
Portfolio annualized return: 67.01%, volatility: 31.44%
Sharpe ratio: (0.6701 - 0.0400) / 0.3144 = 2.0043


4-asset optimization. Max-Sharpe: 5.256. Portfolio: return=90.87%, vol=16.53%. Weights: w_XLI=0.0000, w_LINK-USD=0.1294, w_IEF=0.8706, w_XHB=0.0000.

Question:
Assets: XLI, LINK-USD, IEF, XHB
Annualized mean returns: XLI:-0.3056, LINK-USD:5.3464, IEF:0.2490, XHB:0.3785
Covariance matrix (annualized):
[[0.173536, 0.190925, -0.021463, 0.216645], [0.190925, 1.394481, -0.015614, 0.314462], [-0.021463, -0.015614, 0.009872, -0.023777], [0.216645, 0.314462, -0.023777, 0.317565]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLI=0.0000, w_LINK-USD=0.1294, w_IEF=0.8706, w_XHB=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLI=0.0000, w_LINK-USD=0.1294, w_IEF=0.8706, w_XHB=0.0000
Portfolio annualized return: 90.87%, volatility: 16.53%
Sharpe ratio: (0.9087 - 0.0400) / 0.1653 = 5.2558


4-asset optimization. Max-Sharpe: 1.395. Portfolio: return=110.48%, vol=76.34%. Weights: w_QQQ=0.0163, w_LINK-USD=0.9837, w_MORT=0.0000, w_ICSH=0.0000.

Question:
Assets: QQQ, LINK-USD, MORT, ICSH
Annualized mean returns: QQQ:0.2490, LINK-USD:1.1190, MORT:-0.0074, ICSH:-0.0225
Covariance matrix (annualized):
[[0.108346, 0.114481, 0.04994, 0.000485], [0.114481, 0.598506, 0.046551, 0.000503], [0.04994, 0.046551, 0.042036, 0.000291], [0.000485, 0.000503, 0.000291, 3.7e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_QQQ=0.0163, w_LINK-USD=0.9837, w_MORT=0.0000, w_ICSH=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_QQQ=0.0163, w_LINK-USD=0.9837, w_MORT=0.0000, w_ICSH=0.0000
Portfolio annualized return: 110.48%, volatility: 76.34%
Sharpe ratio: (1.1048 - 0.0400) / 0.7634 = 1.3947


4-asset optimization. Max-Sharpe: -2.070. Portfolio: return=-41.39%, vol=21.93%. Weights: w_EFA=1.0000, w_AVAX-USD=0.0000, w_ICSH=0.0000, w_IYR=0.0000.

Question:
Assets: EFA, AVAX-USD, ICSH, IYR
Annualized mean returns: EFA:-0.4139, AVAX-USD:-7.1298, ICSH:0.0049, IYR:-0.7165
Covariance matrix (annualized):
[[0.048098, 0.123504, 0.000106, 0.045789], [0.123504, 1.218981, -0.000269, 0.097662], [0.000106, -0.000269, 3.5e-05, 0.000374], [0.045789, 0.097662, 0.000374, 0.066521]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EFA=1.0000, w_AVAX-USD=0.0000, w_ICSH=0.0000, w_IYR=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EFA=1.0000, w_AVAX-USD=0.0000, w_ICSH=0.0000, w_IYR=0.0000
Portfolio annualized return: -41.39%, volatility: 21.93%
Sharpe ratio: (-0.4139 - 0.0400) / 0.2193 = -2.0696


4-asset optimization. Max-Sharpe: 1.666. Portfolio: return=48.89%, vol=26.94%. Weights: w_EWJ=0.1803, w_XRP-USD=0.1873, w_BIL=0.0000, w_WEAT=0.6324.

Question:
Assets: EWJ, XRP-USD, BIL, WEAT
Annualized mean returns: EWJ:0.0907, XRP-USD:0.4519, BIL:0.0179, WEAT:0.6134
Covariance matrix (annualized):
[[0.031834, 0.044501, 2.1e-05, -0.009306], [0.044501, 0.240296, 8.8e-05, 0.021424], [2.1e-05, 8.8e-05, 5e-06, -0.000251], [-0.009306, 0.021424, -0.000251, 0.142879]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EWJ=0.1803, w_XRP-USD=0.1873, w_BIL=0.0000, w_WEAT=0.6324

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EWJ=0.1803, w_XRP-USD=0.1873, w_BIL=0.0000, w_WEAT=0.6324
Portfolio annualized return: 48.89%, volatility: 26.94%
Sharpe ratio: (0.4889 - 0.0400) / 0.2694 = 1.6664


4-asset optimization. Max-Sharpe: 5.180. Portfolio: return=470.83%, vol=90.12%. Weights: w_IVV=0.0000, w_LINK-USD=1.0000, w_ICSH=0.0000, w_IEF=0.0000.

Question:
Assets: IVV, LINK-USD, ICSH, IEF
Annualized mean returns: IVV:-0.3719, LINK-USD:4.7083, ICSH:0.0205, IEF:-0.0318
Covariance matrix (annualized):
[[0.035651, 0.047762, 2e-05, -0.003663], [0.047762, 0.812195, -6.6e-05, -0.007517], [2e-05, -6.6e-05, 1.3e-05, 1.8e-05], [-0.003663, -0.007517, 1.8e-05, 0.00173]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_IVV=0.0000, w_LINK-USD=1.0000, w_ICSH=0.0000, w_IEF=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_IVV=0.0000, w_LINK-USD=1.0000, w_ICSH=0.0000, w_IEF=0.0000
Portfolio annualized return: 470.83%, volatility: 90.12%
Sharpe ratio: (4.7083 - 0.0400) / 0.9012 = 5.1800


4-asset optimization. Max-Sharpe: 5.846. Portfolio: return=19.55%, vol=2.66%. Weights: w_XLF=0.1648, w_XRP-USD=0.0057, w_GLD=0.0000, w_LQD=0.8295.

Question:
Assets: XLF, XRP-USD, GLD, LQD
Annualized mean returns: XLF:0.2400, XRP-USD:0.4199, GLD:-0.2409, LQD:0.1851
Covariance matrix (annualized):
[[0.021552, 0.003635, -0.004998, -0.003209], [0.003635, 0.299, 0.004595, -0.000694], [-0.004998, 0.004595, 0.00906, 0.001607], [-0.003209, -0.000694, 0.001607, 0.001438]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLF=0.1648, w_XRP-USD=0.0057, w_GLD=0.0000, w_LQD=0.8295

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLF=0.1648, w_XRP-USD=0.0057, w_GLD=0.0000, w_LQD=0.8295
Portfolio annualized return: 19.55%, volatility: 2.66%
Sharpe ratio: (0.1955 - 0.0400) / 0.0266 = 5.8457


4-asset optimization. Max-Sharpe: 4.539. Portfolio: return=231.48%, vol=50.11%. Weights: w_XLE=0.0000, w_XRP-USD=1.0000, w_SGOV=0.0000, w_SHY=0.0000.

Question:
Assets: XLE, XRP-USD, SGOV, SHY
Annualized mean returns: XLE:-0.2882, XRP-USD:2.3148, SGOV:0.0011, SHY:0.0057
Covariance matrix (annualized):
[[0.118827, 0.01706, 1.1e-05, -0.000248], [0.01706, 0.251139, -2.3e-05, -0.000161], [1.1e-05, -2.3e-05, 0.0, 1e-06], [-0.000248, -0.000161, 1e-06, 1.2e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLE=0.0000, w_XRP-USD=1.0000, w_SGOV=0.0000, w_SHY=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLE=0.0000, w_XRP-USD=1.0000, w_SGOV=0.0000, w_SHY=0.0000
Portfolio annualized return: 231.48%, volatility: 50.11%
Sharpe ratio: (2.3148 - 0.0400) / 0.5011 = 4.5393


4-asset optimization. Max-Sharpe: 3.186. Portfolio: return=71.63%, vol=21.23%. Weights: w_EEM=1.0000, w_BTC-USD=0.0000, w_VNQ=0.0000, w_CSHI=0.0000.

Question:
Assets: EEM, BTC-USD, VNQ, CSHI
Annualized mean returns: EEM:0.7163, BTC-USD:-0.6555, VNQ:-0.1627, CSHI:0.0404
Covariance matrix (annualized):
[[0.045069, 0.063696, 0.026985, 0.000286], [0.063696, 0.347921, 0.060783, 0.00044], [0.026985, 0.060783, 0.044041, 0.000482], [0.000286, 0.00044, 0.000482, 4.8e-05]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_EEM=1.0000, w_BTC-USD=0.0000, w_VNQ=0.0000, w_CSHI=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_EEM=1.0000, w_BTC-USD=0.0000, w_VNQ=0.0000, w_CSHI=0.0000
Portfolio annualized return: 71.63%, volatility: 21.23%
Sharpe ratio: (0.7163 - 0.0400) / 0.2123 = 3.1855


4-asset optimization. Max-Sharpe: 5.768. Portfolio: return=287.07%, vol=49.08%. Weights: w_XLF=0.7012, w_ADA-USD=0.2988, w_SGOV=0.0000, w_LQD=0.0000.

Question:
Assets: XLF, ADA-USD, SGOV, LQD
Annualized mean returns: XLF:0.7045, ADA-USD:7.9536, SGOV:0.0013, LQD:-0.2468
Covariance matrix (annualized):
[[0.051433, 0.068539, 1e-05, -0.001534], [0.068539, 2.092659, -1.6e-05, 0.011554], [1e-05, -1.6e-05, 0.0, 1.6e-05], [-0.001534, 0.011554, 1.6e-05, 0.005146]]
Risk-free rate: 4.00%
Constraints: weights sum to 1, all weights ≥ 0
Market regime: sideways

Compute the portfolio weights that maximize the Sharpe Ratio for the above assets.

Answer: w_XLF=0.7012, w_ADA-USD=0.2988, w_SGOV=0.0000, w_LQD=0.0000

Explanation:
Solved max-Sharpe via SLSQP numerical optimization.
Optimal weights: w_XLF=0.7012, w_ADA-USD=0.2988, w_SGOV=0.0000, w_LQD=0.0000
Portfolio annualized return: 287.07%, volatility: 49.08%
Sharpe ratio: (2.8707 - 0.0400) / 0.4908 = 5.7677


Max weight deviation: 0.0248, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  USMV: current=0.2492, target=0.2500
  LINK-USD: current=0.2401, target=0.2500
  HAUZ: current=0.2359, target=0.2500
  SGOV: current=0.2748, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0248.
Rebalancing threshold: 0.0500.
0.0248 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0495, transaction cost = 0.000050 (negligible vs. drift).


Max weight deviation: 0.0287, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLRE: current=0.2996, target=0.2500
  LINK-USD: current=0.2620, target=0.2500
  SHY: current=0.1850, target=0.2500
  ITB: current=0.2534, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of SHY

Explanation:
Maximum absolute deviation: 0.0287.
Rebalancing threshold: 0.0500.
0.0287 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0574, transaction cost = 0.000057 (negligible vs. drift).


Max weight deviation: 0.0201, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  USMV: current=0.2299, target=0.2500
  BTC-USD: current=0.2628, target=0.2500
  ICSH: current=0.2511, target=0.2500
  DBA: current=0.2561, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0201.
Rebalancing threshold: 0.0500.
0.0201 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0401, transaction cost = 0.000040 (negligible vs. drift).


Max weight deviation: 0.0125, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLF: current=0.2620, target=0.2500
  SOL-USD: current=0.2546, target=0.2500
  CSHI: current=0.2375, target=0.2500
  IYR: current=0.2459, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0125.
Rebalancing threshold: 0.0500.
0.0125 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0333, transaction cost = 0.000033 (negligible vs. drift).


Max weight deviation: 0.0355, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLV: current=0.1850, target=0.2500
  LINK-USD: current=0.2515, target=0.2500
  TLT: current=0.2901, target=0.2500
  USO: current=0.2734, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of XLV

Explanation:
Maximum absolute deviation: 0.0355.
Rebalancing threshold: 0.0500.
0.0355 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0709, transaction cost = 0.000071 (negligible vs. drift).


Max weight deviation: 0.0139, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  VLUE: current=0.2033, target=0.2500
  ETH-USD: current=0.2010, target=0.2500
  ICSH: current=0.3151, target=0.2500
  IAU: current=0.2805, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0651 of ICSH

Explanation:
Maximum absolute deviation: 0.0139.
Rebalancing threshold: 0.0500.
0.0139 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0409, transaction cost = 0.000041 (negligible vs. drift).


Max weight deviation: 0.0546, threshold: 0.05. Decision: yes (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  MTUM: current=0.2407, target=0.2500
  ADA-USD: current=0.2569, target=0.2500
  EMB: current=0.2800, target=0.2500
  SGOV: current=0.2225, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0546.
Rebalancing threshold: 0.0500.
0.0546 > 0.0500 → decision: 'yes'.
If rebalanced: total turnover = 0.1343, transaction cost = 0.000134 (negligible vs. drift).


Max weight deviation: 0.0235, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLY: current=0.2539, target=0.2500
  BTC-USD: current=0.3037, target=0.2500
  PPLT: current=0.1850, target=0.2500
  HYG: current=0.2575, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of PPLT

Explanation:
Maximum absolute deviation: 0.0235.
Rebalancing threshold: 0.0500.
0.0235 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0470, transaction cost = 0.000047 (negligible vs. drift).


Max weight deviation: 0.0376, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IVV: current=0.2097, target=0.2500
  MATIC-USD: current=0.2362, target=0.2500
  LQD: current=0.3150, target=0.2500
  SLV: current=0.2391, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of LQD

Explanation:
Maximum absolute deviation: 0.0376.
Rebalancing threshold: 0.0500.
0.0376 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0752, transaction cost = 0.000075 (negligible vs. drift).


Max weight deviation: 0.0469, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLE: current=0.1850, target=0.2500
  BTC-USD: current=0.2901, target=0.2500
  DBA: current=0.2688, target=0.2500
  ICSH: current=0.2561, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of XLE

Explanation:
Maximum absolute deviation: 0.0469.
Rebalancing threshold: 0.0500.
0.0469 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0938, transaction cost = 0.000094 (negligible vs. drift).


Max weight deviation: 0.0444, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  ^VIX: current=0.2876, target=0.2500
  ADA-USD: current=0.2412, target=0.2500
  CPER: current=0.2056, target=0.2500
  VNQ: current=0.2656, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0444.
Rebalancing threshold: 0.0500.
0.0444 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.1064, transaction cost = 0.000106 (negligible vs. drift).


Max weight deviation: 0.0246, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  FXI: current=0.2323, target=0.2500
  BTC-USD: current=0.2133, target=0.2500
  BIL: current=0.3150, target=0.2500
  JNK: current=0.2394, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of BIL

Explanation:
Maximum absolute deviation: 0.0246.
Rebalancing threshold: 0.0500.
0.0246 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0493, transaction cost = 0.000049 (negligible vs. drift).


Max weight deviation: 0.0315, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IWM: current=0.2626, target=0.2500
  ETH-USD: current=0.2552, target=0.2500
  UNG: current=0.2637, target=0.2500
  BIL: current=0.2185, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0315.
Rebalancing threshold: 0.0500.
0.0315 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0631, transaction cost = 0.000063 (negligible vs. drift).


Max weight deviation: 0.0147, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  QQQ: current=0.2466, target=0.2500
  ADA-USD: current=0.2480, target=0.2500
  HYG: current=0.2647, target=0.2500
  REZ: current=0.2408, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0147.
Rebalancing threshold: 0.0500.
0.0147 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0295, transaction cost = 0.000029 (negligible vs. drift).


Max weight deviation: 0.0233, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLK: current=0.2267, target=0.2500
  ETH-USD: current=0.2581, target=0.2500
  PPLT: current=0.2487, target=0.2500
  SGOV: current=0.2666, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0233.
Rebalancing threshold: 0.0500.
0.0233 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0493, transaction cost = 0.000049 (negligible vs. drift).


Max weight deviation: 0.0270, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EFA: current=0.2590, target=0.2500
  XRP-USD: current=0.2712, target=0.2500
  BIL: current=0.2469, target=0.2500
  IGOV: current=0.2230, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0270.
Rebalancing threshold: 0.0500.
0.0270 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0603, transaction cost = 0.000060 (negligible vs. drift).


Max weight deviation: 0.0085, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLF: current=0.2475, target=0.2500
  XRP-USD: current=0.2415, target=0.2500
  CORN: current=0.2570, target=0.2500
  REZ: current=0.2541, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0085.
Rebalancing threshold: 0.0500.
0.0085 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0221, transaction cost = 0.000022 (negligible vs. drift).


Max weight deviation: 0.0228, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IVV: current=0.2361, target=0.2500
  AVAX-USD: current=0.2728, target=0.2500
  JNK: current=0.2468, target=0.2500
  UNG: current=0.2443, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0228.
Rebalancing threshold: 0.0500.
0.0228 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0456, transaction cost = 0.000046 (negligible vs. drift).


Max weight deviation: 0.0386, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLE: current=0.1850, target=0.2500
  LINK-USD: current=0.2119, target=0.2500
  WEAT: current=0.3076, target=0.2500
  LQD: current=0.2955, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of XLE

Explanation:
Maximum absolute deviation: 0.0386.
Rebalancing threshold: 0.0500.
0.0386 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.1223, transaction cost = 0.000122 (negligible vs. drift).


Max weight deviation: 0.0255, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLI: current=0.2393, target=0.2500
  BTC-USD: current=0.2653, target=0.2500
  TIP: current=0.1850, target=0.2500
  IYR: current=0.3104, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of TIP

Explanation:
Maximum absolute deviation: 0.0255.
Rebalancing threshold: 0.0500.
0.0255 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0594, transaction cost = 0.000059 (negligible vs. drift).


Max weight deviation: 0.0155, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EWJ: current=0.2632, target=0.2500
  ADA-USD: current=0.2560, target=0.2500
  VNQI: current=0.2345, target=0.2500
  BNDX: current=0.2462, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0155.
Rebalancing threshold: 0.0500.
0.0155 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0385, transaction cost = 0.000039 (negligible vs. drift).


Max weight deviation: 0.0223, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IVV: current=0.2330, target=0.2500
  AVAX-USD: current=0.2694, target=0.2500
  CSHI: current=0.2277, target=0.2500
  HYG: current=0.2699, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0223.
Rebalancing threshold: 0.0500.
0.0223 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0786, transaction cost = 0.000079 (negligible vs. drift).


Max weight deviation: 0.0238, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  FXI: current=0.2495, target=0.2500
  AVAX-USD: current=0.2396, target=0.2500
  IAU: current=0.1959, target=0.2500
  XHB: current=0.3150, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of XHB

Explanation:
Maximum absolute deviation: 0.0238.
Rebalancing threshold: 0.0500.
0.0238 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0477, transaction cost = 0.000048 (negligible vs. drift).


Max weight deviation: 0.0398, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLV: current=0.2362, target=0.2500
  BNB-USD: current=0.2799, target=0.2500
  IGOV: current=0.2989, target=0.2500
  BIL: current=0.1850, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of BIL

Explanation:
Maximum absolute deviation: 0.0398.
Rebalancing threshold: 0.0500.
0.0398 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0965, transaction cost = 0.000096 (negligible vs. drift).


Max weight deviation: 0.0251, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  QUAL: current=0.2427, target=0.2500
  AVAX-USD: current=0.2613, target=0.2500
  INDS: current=0.2711, target=0.2500
  DBB: current=0.2249, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0251.
Rebalancing threshold: 0.0500.
0.0251 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0649, transaction cost = 0.000065 (negligible vs. drift).


Max weight deviation: 0.0352, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  USMV: current=0.2506, target=0.2500
  BNB-USD: current=0.2617, target=0.2500
  BIL: current=0.2148, target=0.2500
  INDS: current=0.2729, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0352.
Rebalancing threshold: 0.0500.
0.0352 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0705, transaction cost = 0.000070 (negligible vs. drift).


Max weight deviation: 0.0313, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EWJ: current=0.1850, target=0.2500
  LINK-USD: current=0.2458, target=0.2500
  MORT: current=0.2793, target=0.2500
  CPER: current=0.2899, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of EWJ

Explanation:
Maximum absolute deviation: 0.0313.
Rebalancing threshold: 0.0500.
0.0313 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0666, transaction cost = 0.000067 (negligible vs. drift).


Max weight deviation: 0.0254, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLE: current=0.2618, target=0.2500
  BTC-USD: current=0.2278, target=0.2500
  REZ: current=0.3151, target=0.2500
  PDBC: current=0.1953, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0651 of REZ

Explanation:
Maximum absolute deviation: 0.0254.
Rebalancing threshold: 0.0500.
0.0254 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0601, transaction cost = 0.000060 (negligible vs. drift).


Max weight deviation: 0.0164, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLU: current=0.2515, target=0.2500
  BNB-USD: current=0.2336, target=0.2500
  WEAT: current=0.2632, target=0.2500
  TLT: current=0.2517, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0164.
Rebalancing threshold: 0.0500.
0.0164 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0329, transaction cost = 0.000033 (negligible vs. drift).


Max weight deviation: 0.0406, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EFA: current=0.3149, target=0.2500
  BTC-USD: current=0.2378, target=0.2500
  BIL: current=0.1986, target=0.2500
  GLD: current=0.2487, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0649 of EFA

Explanation:
Maximum absolute deviation: 0.0406.
Rebalancing threshold: 0.0500.
0.0406 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0811, transaction cost = 0.000081 (negligible vs. drift).


Max weight deviation: 0.0362, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  MTUM: current=0.2416, target=0.2500
  ADA-USD: current=0.2862, target=0.2500
  SLV: current=0.2358, target=0.2500
  TLT: current=0.2364, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0362.
Rebalancing threshold: 0.0500.
0.0362 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0724, transaction cost = 0.000072 (negligible vs. drift).


Max weight deviation: 0.0465, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLE: current=0.2340, target=0.2500
  DOT-USD: current=0.2035, target=0.2500
  SGOV: current=0.2678, target=0.2500
  DBB: current=0.2947, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0465.
Rebalancing threshold: 0.0500.
0.0465 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.1250, transaction cost = 0.000125 (negligible vs. drift).


Max weight deviation: 0.0101, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLU: current=0.1901, target=0.2500
  BNB-USD: current=0.3066, target=0.2500
  SOYB: current=0.1882, target=0.2500
  BIL: current=0.3150, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of BIL

Explanation:
Maximum absolute deviation: 0.0101.
Rebalancing threshold: 0.0500.
0.0101 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0377, transaction cost = 0.000038 (negligible vs. drift).


Max weight deviation: 0.0300, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLY: current=0.2130, target=0.2500
  BTC-USD: current=0.2465, target=0.2500
  IGOV: current=0.3150, target=0.2500
  SLV: current=0.2255, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of IGOV

Explanation:
Maximum absolute deviation: 0.0300.
Rebalancing threshold: 0.0500.
0.0300 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0600, transaction cost = 0.000060 (negligible vs. drift).


Max weight deviation: 0.0162, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EWJ: current=0.2631, target=0.2500
  LINK-USD: current=0.2338, target=0.2500
  ITB: current=0.2560, target=0.2500
  TIP: current=0.2471, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0162.
Rebalancing threshold: 0.0500.
0.0162 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0382, transaction cost = 0.000038 (negligible vs. drift).


Max weight deviation: 0.0385, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLK: current=0.2242, target=0.2500
  BTC-USD: current=0.2885, target=0.2500
  SGOV: current=0.2444, target=0.2500
  ITB: current=0.2428, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0385.
Rebalancing threshold: 0.0500.
0.0385 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0771, transaction cost = 0.000077 (negligible vs. drift).


Max weight deviation: 0.0120, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLI: current=0.1850, target=0.2500
  ETH-USD: current=0.2484, target=0.2500
  LQD: current=0.2516, target=0.2500
  SLV: current=0.3150, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of XLI

Explanation:
Maximum absolute deviation: 0.0120.
Rebalancing threshold: 0.0500.
0.0120 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0246, transaction cost = 0.000025 (negligible vs. drift).


Max weight deviation: 0.0181, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLF: current=0.2406, target=0.2500
  ADA-USD: current=0.2391, target=0.2500
  BIL: current=0.2522, target=0.2500
  PDBC: current=0.2681, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0181.
Rebalancing threshold: 0.0500.
0.0181 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0406, transaction cost = 0.000041 (negligible vs. drift).


Max weight deviation: 0.0241, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLV: current=0.2440, target=0.2500
  BTC-USD: current=0.2741, target=0.2500
  VNQ: current=0.2486, target=0.2500
  SCHP: current=0.2333, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0241.
Rebalancing threshold: 0.0500.
0.0241 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0482, transaction cost = 0.000048 (negligible vs. drift).


Max weight deviation: 0.0160, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLU: current=0.1915, target=0.2500
  BTC-USD: current=0.2338, target=0.2500
  VCIT: current=0.2598, target=0.2500
  BNO: current=0.3150, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of BNO

Explanation:
Maximum absolute deviation: 0.0160.
Rebalancing threshold: 0.0500.
0.0160 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0367, transaction cost = 0.000037 (negligible vs. drift).


Max weight deviation: 0.0062, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLE: current=0.3077, target=0.2500
  SOL-USD: current=0.2311, target=0.2500
  PDBC: current=0.2762, target=0.2500
  VCIT: current=0.1850, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of VCIT

Explanation:
Maximum absolute deviation: 0.0062.
Rebalancing threshold: 0.0500.
0.0062 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0161, transaction cost = 0.000016 (negligible vs. drift).


Max weight deviation: 0.0262, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLB: current=0.2361, target=0.2500
  LINK-USD: current=0.2316, target=0.2500
  STIP: current=0.2561, target=0.2500
  PDBC: current=0.2762, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0262.
Rebalancing threshold: 0.0500.
0.0262 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0647, transaction cost = 0.000065 (negligible vs. drift).


Max weight deviation: 0.0259, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EEM: current=0.2293, target=0.2500
  ETH-USD: current=0.2759, target=0.2500
  JNK: current=0.2582, target=0.2500
  ICSH: current=0.2366, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0259.
Rebalancing threshold: 0.0500.
0.0259 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0682, transaction cost = 0.000068 (negligible vs. drift).


Max weight deviation: 0.0236, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLI: current=0.1905, target=0.2500
  DOT-USD: current=0.2456, target=0.2500
  VNQI: current=0.2489, target=0.2500
  USO: current=0.3150, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0650 of USO

Explanation:
Maximum absolute deviation: 0.0236.
Rebalancing threshold: 0.0500.
0.0236 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0472, transaction cost = 0.000047 (negligible vs. drift).


Max weight deviation: 0.0201, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLU: current=0.2486, target=0.2500
  ETH-USD: current=0.2301, target=0.2500
  PPLT: current=0.2512, target=0.2500
  STIP: current=0.2701, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0201.
Rebalancing threshold: 0.0500.
0.0201 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0426, transaction cost = 0.000043 (negligible vs. drift).


Max weight deviation: 0.0216, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  USMV: current=0.3149, target=0.2500
  XRP-USD: current=0.2797, target=0.2500
  PDBC: current=0.2009, target=0.2500
  STIP: current=0.2045, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0649 of USMV

Explanation:
Maximum absolute deviation: 0.0216.
Rebalancing threshold: 0.0500.
0.0216 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0630, transaction cost = 0.000063 (negligible vs. drift).


Max weight deviation: 0.0137, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  EWJ: current=0.2560, target=0.2500
  ETH-USD: current=0.2363, target=0.2500
  ITB: current=0.2549, target=0.2500
  VCIT: current=0.2527, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0137.
Rebalancing threshold: 0.0500.
0.0137 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0273, transaction cost = 0.000027 (negligible vs. drift).


Max weight deviation: 0.0276, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLRE: current=0.1850, target=0.2500
  XRP-USD: current=0.2385, target=0.2500
  SHY: current=0.2865, target=0.2500
  PPLT: current=0.2900, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of XLRE

Explanation:
Maximum absolute deviation: 0.0276.
Rebalancing threshold: 0.0500.
0.0276 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0650, transaction cost = 0.000065 (negligible vs. drift).


Max weight deviation: 0.0278, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IVV: current=0.2930, target=0.2500
  DOT-USD: current=0.1850, target=0.2500
  HYG: current=0.2100, target=0.2500
  DBB: current=0.3120, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of DOT-USD

Explanation:
Maximum absolute deviation: 0.0278.
Rebalancing threshold: 0.0500.
0.0278 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0899, transaction cost = 0.000090 (negligible vs. drift).


Max weight deviation: 0.0265, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  VTI: current=0.2907, target=0.2500
  AVAX-USD: current=0.1850, target=0.2500
  REZ: current=0.2669, target=0.2500
  IGOV: current=0.2574, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; buy 0.0650 of AVAX-USD

Explanation:
Maximum absolute deviation: 0.0265.
Rebalancing threshold: 0.0500.
0.0265 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0529, transaction cost = 0.000053 (negligible vs. drift).


Max weight deviation: 0.0188, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  VLUE: current=0.3149, target=0.2500
  ETH-USD: current=0.1908, target=0.2500
  MORT: current=0.2751, target=0.2500
  SHV: current=0.2192, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: yes; sell 0.0649 of VLUE

Explanation:
Maximum absolute deviation: 0.0188.
Rebalancing threshold: 0.0500.
0.0188 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0520, transaction cost = 0.000052 (negligible vs. drift).


Max weight deviation: 0.0165, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  XLP: current=0.2335, target=0.2500
  ADA-USD: current=0.2507, target=0.2500
  PDBC: current=0.2556, target=0.2500
  IEF: current=0.2602, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0165.
Rebalancing threshold: 0.0500.
0.0165 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0330, transaction cost = 0.000033 (negligible vs. drift).


Max weight deviation: 0.0383, threshold: 0.05. Decision: no (rebalance).

Question:
Portfolio holdings (current vs. target weights):
  IVV: current=0.2883, target=0.2500
  MATIC-USD: current=0.2216, target=0.2500
  SLV: current=0.2395, target=0.2500
  TLH: current=0.2507, target=0.2500

Rebalancing threshold: 5.00%
Transaction cost (round-trip): 0.10%
Market regime: sideways

Part A: Should this portfolio be rebalanced? (yes or no)
Part B: If yes - identify the asset with the largest deviation from its target weight and specify the required trade as a fraction of portfolio (e.g., 'buy 0.0300 of ASSET' or 'sell 0.0500 of ASSET').

Answer: no

Explanation:
Maximum absolute deviation: 0.0383.
Rebalancing threshold: 0.0500.
0.0383 <= 0.0500 → decision: 'no'.
If rebalanced: total turnover = 0.0780, transaction cost = 0.000078 (negligible vs. drift).