Mean Variance Portfolio Optimization

Efficient Frontier Computation

price evolution
efficient frontier
multi period efficient frontier

Portfolio Weights and Metrics

10 month backtesting 200 month backtesting Metrics Used
ticker weight mindate maxdate returnvolsharpemaxddkelly returnvolsharpemaxddkelly returnvolsharpekelly
SPY 201.25% 1999-12-31 2020-10-30 -14.0% 4.8% -2.97 -13.4% -62.27 -8.2% 15.2% -0.61 -178.7% -4.01 -14.0% 15.2% -0.92 -6.1
EFA -120.51% 2001-09-28 2020-10-30 -18.9% 4.8% -3.98 -14.8% -83.43 -2.4% 17.8% -0.22 -102.4% -1.25 -18.9% 17.8% -1.06 -5.9
EEM -214.65% 2003-05-30 2020-10-30 -24.3% 11.8% -2.11 -21.3% -17.90 -4.3% 22.3% -0.30 -105.1% -1.35 -24.3% 22.3% -1.09 -4.9
TLT 15.30% 2002-08-30 2020-10-30 -10.5% 6.9% -1.54 -11.0% -22.27 -7.3% 13.3% -0.61 -117.2% -4.59 -10.5% 13.3% -0.79 -5.9
USO 104.73% 2006-05-31 2020-10-30 33.2% 21.9% 1.37 -5.9% 6.25 23.7% 42.1% 0.31 -85.7% 0.74 33.2% 42.1% 0.79 1.9
GLD 113.87% 2004-12-31 2020-10-30 -2.7% 11.9% -0.29 -11.1% -2.41 -6.8% 17.3% -0.47 -113.7% -2.72 -2.7% 17.3% -0.16 -0.9
Portfolio Monthly Rebalance Backtest 121.6% 34.8% 3.12 -14.5% 8.98 8.8% 46.7% -0.05 -119.9% -0.11 121.6% 46.7% 2.60 5.6
EF Normal Approximation 105.4% 46.8% 105.4% 46.8% 1.83 3.9

The above are annualized geometric return, annualized log return volatility, annualized sharpe ratio, and kelly ratio.

Historical Returns and Volatility

returns
returns
vol