The possible portfolios stay the same; each strategy changes the recommended point and allocation.
Efficient Frontier
Hover a point to preview every asset weight, then click to pin that allocation for comparison.
Tap a point to pin its allocation for comparison. You can also select from the list below.
Equal-weight baselineMax SharpeMin Volatility
All selectable portfolios on the efficient frontier
All selectable portfolios on the efficient frontier
Portfolio
Exp. Return
Exp. Volatility
Sharpe
Select
Frontier candidate 1
5.9%
11.0%
0.31
Frontier candidate 2
6.3%
11.1%
0.35
Frontier candidate 3
6.7%
11.1%
0.38
Frontier candidate 4
7.2%
11.1%
0.42
Frontier candidate 5
7.6%
11.2%
0.46
Frontier candidate 6
8.0%
11.3%
0.49
Frontier candidate 7
8.4%
11.4%
0.53
Frontier candidate 8
8.9%
11.5%
0.56
Frontier candidate 9
9.3%
11.7%
0.59
Frontier candidate 10
9.7%
11.8%
0.62
Frontier candidate 11
10.2%
12.0%
0.64
Frontier candidate 12
10.6%
12.2%
0.67
Frontier candidate 13
11.0%
12.4%
0.69
Frontier candidate 14
11.4%
12.6%
0.71
Frontier candidate 15
11.9%
12.8%
0.73
Frontier candidate 16
12.3%
13.1%
0.75
Frontier candidate 17
12.7%
13.3%
0.77
Frontier candidate 18
13.2%
13.6%
0.79
Frontier candidate 19
13.6%
13.8%
0.80
Frontier candidate 20
14.0%
14.1%
0.82
Frontier candidate 21
14.5%
14.4%
0.83
Frontier candidate 22
14.9%
14.7%
0.84
Frontier candidate 23
15.3%
15.0%
0.85
Frontier candidate 24
15.7%
15.4%
0.86
How to read portfolio optimization results
What does the optimizer calculate?
The optimizer uses historical monthly returns for your selected assets to estimate return and risk at different weights. It compares how allocations change when the objective changes while the assets and calculation conditions stay the same.
How the six approaches differ
Equal Weight
Allocate evenly across selected assets
Max Sharpe
Maximize risk-adjusted return using the Sharpe ratio
Min Volatility
Minimize overall portfolio volatility
Min CVaR
Reduce average losses in the worst tail scenarios
Risk Parity
Balance assets so each contributes similar risk
Max Sortino
Maximize return relative to downside volatility
The default baseline allocates equally across all assets. When you load a portfolio, its weights become the baseline for comparing the five optimized allocations.
Actual calculation period and observations
This result uses 119 monthly observations from 2016-11-30 to 2026-09-30. The actual calculation period can differ from the requested number of years, so check the dates shown with the result.
Data as of 2026-10-29
Return estimates and operating assumptions
Expected return and risk use annualized historical monthly means and sample covariance in USD. The calculation assumes monthly rebalancing to target weights, dividend reinvestment, and 0bp transaction costs. Taxes and inflation are excluded.
Each asset weight is between 0% and 100%, and weights sum to 100%. Changing the weight limits changes the feasible allocations and optimization results.
Limits of these results
The displayed returns and weights are estimates from historical data, not guaranteed future optimal weights or returns. Results can change with the period and asset selection. Use a backtest to examine loss periods and operating conditions for the allocation you choose.
