Portfolio Optimization

This portfolio optimizer tool supports the following portfolio optimization strategies:

Mean Variance Optimization – Find the optimal risk adjusted portfolio that lies on the efficient frontier
Conditional Value-at-Risk – Optimize the portfolio to minimize the expected tail loss
Risk Parity – Find the portfolio that equalizes the risk contribution of portfolio assets
Tracking Error – Find the portfolio that minimizes the tracking error against the selected benchmark
Information Ratio – Find the portfolio that maximizes the information ratio against the selected benchmark
Kelly Criterion – Finds the portfolio with the maximum expected geometric growth rate
Sortino Ratio – Find the portfolio that maximizes the Sortino ratio for the given minimum acceptable return
Omega Ratio – Find the portfolio that maximizes the Omega ratio for the given minimum acceptable return
Maximum Drawdown – Find the portfolio with the minimum worst case drawdown with optional minimum acceptable return

The optimization is based on the monthly return statistics of the selected portfolio assets for the given time period. The optimization result does not predict what allocation would perform best outside the given time period, and the actual performance of portfolios constructed using the optimized asset weights may vary from the given performance goal.

The required inputs for the optimization include the time range and the portfolio assets. Portfolio asset weights and constraints are optional. You can also use the Black-Litterman model based portfolio optimization, which allows the benchmark portfolio asset weights to be optimized based on investor's views.

Portfolio Type

Time Period

Start Year

First Month

End Year

Last Month

Optimization Goal

Targeted Annual Return

Targeted Annual Volatility

Targeted Tracking Error

Targeted Monthly CVaR

Robust Optimization

Use Historical Returns

Use Historical Volatility

Use Historical Correlations

Correlation Matrix

Browse…

Asset Constraints

Group Constraints

Compared Allocation

Benchmark

Benchmark Ticker

Portfolio Assets

Allocation

Expected Return

Volatility

Min. Weight

Max. Weight

Group

Select asset 1

Enter percentage allocation for asset 1 %

Expected return for asset 1 %

Expected volatility for asset 1 %

Minimum allocation for asset 1 %

Maximum allocation for asset 1 %

Group assignment for asset 1

Select asset 2

Enter percentage allocation for asset 2 %

Expected return for asset 2 %

Expected volatility for asset 2 %

Minimum allocation for asset 2 %

Maximum allocation for asset 2 %

Group assignment for asset 2

Select asset 3

Enter percentage allocation for asset 3 %

Expected return for asset 3 %

Expected volatility for asset 3 %

Minimum allocation for asset 3 %

Maximum allocation for asset 3 %

Group assignment for asset 3

Select asset 4

Enter percentage allocation for asset 4 %

Expected return for asset 4 %

Expected volatility for asset 4 %

Minimum allocation for asset 4 %

Maximum allocation for asset 4 %

Group assignment for asset 4

Select asset 5

Enter percentage allocation for asset 5 %

Expected return for asset 5 %

Expected volatility for asset 5 %

Minimum allocation for asset 5 %

Maximum allocation for asset 5 %

Group assignment for asset 5

Select asset 6

Enter percentage allocation for asset 6 %

Expected return for asset 6 %

Expected volatility for asset 6 %

Minimum allocation for asset 6 %

Maximum allocation for asset 6 %

Group assignment for asset 6

Select asset 7

Enter percentage allocation for asset 7 %

Expected return for asset 7 %

Expected volatility for asset 7 %

Minimum allocation for asset 7 %

Maximum allocation for asset 7 %

Group assignment for asset 7

Select asset 8

Enter percentage allocation for asset 8 %

Expected return for asset 8 %

Expected volatility for asset 8 %

Minimum allocation for asset 8 %

Maximum allocation for asset 8 %

Group assignment for asset 8

Select asset 9

Enter percentage allocation for asset 9 %

Expected return for asset 9 %

Expected volatility for asset 9 %

Minimum allocation for asset 9 %

Maximum allocation for asset 9 %

Group assignment for asset 9

Select asset 10

Enter percentage allocation for asset 10 %

Expected return for asset 10 %

Expected volatility for asset 10 %

Minimum allocation for asset 10 %

Maximum allocation for asset 10 %

Group assignment for asset 10

Total

Total allocation for portfolio %

Asset Groups

Min. Weight

Max. Weight

Full name for group A at index 1

Minimum allocation for group A at index 1 %

Maximum allocation for group A at index 1 %

Full name for group B at index 2

Minimum allocation for group B at index 2 %

Maximum allocation for group B at index 2 %

Full name for group C at index 3

Minimum allocation for group C at index 3 %

Maximum allocation for group C at index 3 %

Full name for group D at index 4

Minimum allocation for group D at index 4 %

Maximum allocation for group D at index 4 %

Full name for group E at index 5

Minimum allocation for group E at index 5 %

Maximum allocation for group E at index 5 %

Full name for group F at index 6

Minimum allocation for group F at index 6 %

Maximum allocation for group F at index 6 %

Portfolio Optimization Results (Jan 2004 - Sep 2021) Save

Note: The time period was constrained by the available data for iShares MSCI Emerging Markets ETF (EEM) [May 2003 - Sep 2021].

Portfolio optimization results with goal to maximize Sharpe ratio. The possible range of expected annual portfolio returns for the given period taking into account the specified constraints is 7.05% to 10.00%. Refer to the efficient frontier section for additional details.

Portfolio Allocations

Maximum Sharpe Ratio
Ticker	Name	Allocation
SPY	SPDR S&P 500 ETF Trust	25.97%
IJS	iShares S&P Small-Cap 600 Value ETF	5.00%
EFA	iShares MSCI EAFE ETF	5.00%
EEM	iShares MSCI Emerging Markets ETF	5.00%
TLT	iShares 20+ Year Treasury Bond ETF	24.03%
IEF	iShares 7-10 Year Treasury Bond ETF	30.00%
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	5.00%
Save portfolio »

Portfolio Performance Summary

Portfolio performance statistics
Metric	Maximum Sharpe Ratio
Start Balance	$10,000
End Balance	$36,321
CAGR	7.54%
Expected Return	7.79%
Stdev	6.87%
Best Year	18.35%
Worst Year	-5.83%
Max. Drawdown	-18.74%
Sharpe Ratio (ex-ante)	0.92
Sharpe Ratio (ex-post)	0.92
Sortino Ratio	1.41
US Stock Market Correlation	0.69
Results based on historical returns. Expected return is the annualized monthly arithmetic mean return.

Trailing Returns

Trailing Returns
Name	Annualized Return							Annualized Volatility
Name	3 Month	YTD	1 year	3 year	5 year	10 year	Full	3 year	5 year
Maximum Sharpe Ratio	-0.46%	2.51%	8.00%	10.59%	7.96%	8.23%	7.54%	7.64%	6.56%
Trailing annualized return and volatility are for full months ending in September 2021 excluding portfolio cashflows.

Notes on results:

Past performance is no guarantee of future results, which may vary. All use is subject to terms of service.
Investing involves risk, including possible loss of principal. The value of the investments and the income derived from them may fluctuate over time.
All portfolio returns presented are hypothetical and backtested. Hypothetical returns do not reflect trading costs, transaction fees, or taxes.
Portfolio optimization determines target weights for portfolio assets based on mathematical models that can use either historical or forecasted data as inputs. Optimization results are not guarantees of future performance.
The results are based on information from a variety of sources we consider reliable, but we do not represent that the information is accurate or complete.
The results do not constitute investment advice or recommendation, are provided solely for informational purposes, and are not an offer to buy or sell any securities.
The results are based on the total return of assets and assume that all received dividends and distributions are reinvested.
Allocation constraints are only applied to the optimized portfolio, not to compared allocations and benchmarks
The annual results for 2021 are based on full calendar months from January to September
CAGR = Compound Annual Growth Rate
Stdev = Annualized standard deviation of monthly returns
Sharpe ratio is calculated and annualized from monthly excess returns over the risk free rate (3-month treasury bill)
Drawdowns are calculated based on monthly returns.
The backtested results assume monthly rebalancing of portfolio assets to match the specified allocation.

Efficient Frontier Assets
#	Asset	Group	Expected Return	Standard Deviation	Sharpe Ratio	Min. Weight	Max. Weight
1	SPDR S&P 500 ETF Trust (SPY)	Equity	11.16%	14.24%	0.662	5.00%	40.00%
2	iShares S&P Small-Cap 600 Value ETF (IJS)	Equity	11.98%	20.06%	0.507	5.00%	20.00%
3	iShares MSCI EAFE ETF (EFA)	Equity	7.40%	16.75%	0.356	5.00%	30.00%
4	iShares MSCI Emerging Markets ETF (EEM)	Equity	10.37%	21.58%	0.403	5.00%	15.00%
5	iShares 20+ Year Treasury Bond ETF (TLT)	Fixed Income	7.31%	12.99%	0.452	5.00%	30.00%
6	iShares 7-10 Year Treasury Bond ETF (IEF)	Fixed Income	4.68%	6.09%	0.555	5.00%	30.00%
7	iShares iBoxx $ Invmt Grade Corp Bd ETF (LQD)	Fixed Income	5.53%	7.15%	0.587	5.00%	20.00%
Results based on historical returns. Expected return is the annualized monthly arithmetic mean return. Ex-ante Sharpe Ratio calculated using 3-month treasury bill returns as the risk-free rate.

Asset Groups
Asset Group	Min. Weight	Max. Weight
Equity	20.00%	80.00%
Fixed Income	20.00%	80.00%

Asset Correlations

Efficient Frontier Asset Correlations
Name	Ticker	SPY	IJS	EFA	EEM	TLT	IEF	LQD
SPDR S&P 500 ETF Trust	SPY	1.00	0.87	0.88	0.77	-0.30	-0.29	0.32
iShares S&P Small-Cap 600 Value ETF	IJS	0.87	1.00	0.77	0.70	-0.37	-0.37	0.23
iShares MSCI EAFE ETF	EFA	0.88	0.77	1.00	0.87	-0.24	-0.22	0.39
iShares MSCI Emerging Markets ETF	EEM	0.77	0.70	0.87	1.00	-0.22	-0.19	0.36
iShares 20+ Year Treasury Bond ETF	TLT	-0.30	-0.37	-0.24	-0.22	1.00	0.91	0.52
iShares 7-10 Year Treasury Bond ETF	IEF	-0.29	-0.37	-0.22	-0.19	0.91	1.00	0.52
iShares iBoxx $ Invmt Grade Corp Bd ETF	LQD	0.32	0.23	0.39	0.36	0.52	0.52	1.00
Based on monthly returns from Jan 2004 to Sep 2021

Note: You can hover over any of the data points on the chart for more information.

Efficient Frontier Assets
#	SPY	IJS	EFA	EEM	TLT	IEF	LQD	Expected Return^*	Standard Deviation^*	Sharpe Ratio^*
1	13.58%	5.00%	5.00%	5.00%	21.42%	30.00%	20.00%	7.05%	6.45%	0.873
2	14.36%	5.00%	5.00%	5.00%	20.64%	30.00%	20.00%	7.08%	6.45%	0.877
3	15.14%	5.00%	5.00%	5.00%	19.86%	30.00%	20.00%	7.11%	6.46%	0.881
4	15.92%	5.00%	5.00%	5.00%	19.08%	30.00%	20.00%	7.14%	6.47%	0.884
5	16.39%	5.00%	5.00%	5.00%	19.27%	30.00%	19.34%	7.17%	6.48%	0.886
6	16.79%	5.00%	5.00%	5.00%	19.66%	30.00%	18.55%	7.20%	6.50%	0.888
7	17.20%	5.00%	5.00%	5.00%	20.04%	30.00%	17.76%	7.23%	6.51%	0.890
8	17.60%	5.00%	5.00%	5.00%	20.43%	30.00%	16.97%	7.26%	6.53%	0.892
9	18.01%	5.00%	5.00%	5.00%	20.82%	30.00%	16.17%	7.29%	6.54%	0.895
10	18.41%	5.00%	5.00%	5.00%	21.21%	30.00%	15.38%	7.32%	6.56%	0.897
11	18.81%	5.00%	5.00%	5.00%	21.60%	30.00%	14.59%	7.35%	6.57%	0.899
12	19.22%	5.00%	5.00%	5.00%	21.99%	30.00%	13.80%	7.38%	6.59%	0.901
13	19.62%	5.00%	5.00%	5.00%	22.37%	30.00%	13.00%	7.41%	6.61%	0.902
14	20.03%	5.00%	5.00%	5.00%	22.76%	30.00%	12.21%	7.43%	6.63%	0.904
15	20.43%	5.00%	5.00%	5.00%	23.15%	30.00%	11.42%	7.46%	6.64%	0.906
16	20.84%	5.00%	5.00%	5.00%	23.54%	30.00%	10.63%	7.49%	6.66%	0.908
17	21.24%	5.00%	5.00%	5.00%	23.93%	30.00%	9.83%	7.52%	6.68%	0.909
18	21.64%	5.00%	5.00%	5.00%	24.32%	30.00%	9.04%	7.55%	6.70%	0.911
19	22.05%	5.00%	5.00%	5.00%	24.70%	30.00%	8.25%	7.58%	6.72%	0.913
20	22.45%	5.00%	5.00%	5.00%	25.09%	30.00%	7.45%	7.61%	6.73%	0.914
21	22.86%	5.00%	5.00%	5.00%	25.48%	30.00%	6.66%	7.64%	6.75%	0.916
22	23.26%	5.00%	5.00%	5.00%	25.87%	30.00%	5.87%	7.67%	6.77%	0.917
23	23.67%	5.00%	5.00%	5.00%	26.26%	30.00%	5.08%	7.70%	6.79%	0.919
24	24.41%	5.00%	5.00%	5.00%	25.59%	30.00%	5.00%	7.73%	6.82%	0.920
25	25.19%	5.00%	5.00%	5.00%	24.81%	30.00%	5.00%	7.76%	6.84%	0.920
26	25.97%	5.00%	5.00%	5.00%	24.03%	30.00%	5.00%	7.79%	6.87%	0.920
27	26.45%	5.00%	5.00%	5.00%	23.98%	29.57%	5.00%	7.82%	6.90%	0.920
28	26.69%	5.00%	5.00%	5.00%	24.50%	28.81%	5.00%	7.85%	6.94%	0.919
29	26.94%	5.00%	5.00%	5.00%	25.01%	28.05%	5.00%	7.88%	6.97%	0.919
30	27.18%	5.00%	5.00%	5.00%	25.53%	27.29%	5.00%	7.91%	7.01%	0.918
31	27.43%	5.00%	5.00%	5.00%	26.04%	26.53%	5.00%	7.94%	7.04%	0.918
32	27.67%	5.00%	5.00%	5.00%	26.56%	25.77%	5.00%	7.97%	7.08%	0.917
33	27.92%	5.00%	5.00%	5.00%	27.07%	25.01%	5.00%	8.00%	7.11%	0.917
34	28.17%	5.00%	5.00%	5.00%	27.59%	24.24%	5.00%	8.03%	7.14%	0.916
35	28.41%	5.00%	5.00%	5.00%	28.10%	23.48%	5.00%	8.06%	7.18%	0.915
36	28.66%	5.00%	5.00%	5.00%	28.62%	22.72%	5.00%	8.09%	7.21%	0.915
37	28.90%	5.00%	5.00%	5.00%	29.13%	21.96%	5.00%	8.12%	7.25%	0.914
38	29.15%	5.00%	5.00%	5.00%	29.65%	21.20%	5.00%	8.15%	7.28%	0.914
39	29.46%	5.00%	5.00%	5.00%	30.00%	20.54%	5.00%	8.18%	7.32%	0.913
40	29.92%	5.00%	5.00%	5.00%	30.00%	20.08%	5.00%	8.21%	7.35%	0.913
41	30.38%	5.00%	5.00%	5.00%	30.00%	19.62%	5.00%	8.24%	7.39%	0.912
42	30.84%	5.00%	5.00%	5.00%	30.00%	19.16%	5.00%	8.27%	7.43%	0.911
43	31.29%	5.00%	5.00%	5.00%	30.00%	18.71%	5.00%	8.30%	7.46%	0.910
44	31.75%	5.00%	5.00%	5.00%	30.00%	18.25%	5.00%	8.33%	7.50%	0.909
45	32.21%	5.00%	5.00%	5.00%	30.00%	17.79%	5.00%	8.36%	7.54%	0.908
46	32.67%	5.00%	5.00%	5.00%	30.00%	17.33%	5.00%	8.39%	7.58%	0.907
47	33.13%	5.00%	5.00%	5.00%	30.00%	16.87%	5.00%	8.41%	7.62%	0.906
48	33.58%	5.00%	5.00%	5.00%	30.00%	16.42%	5.00%	8.44%	7.66%	0.905
49	34.04%	5.00%	5.00%	5.00%	30.00%	15.96%	5.00%	8.47%	7.70%	0.904
50	34.50%	5.00%	5.00%	5.00%	30.00%	15.50%	5.00%	8.50%	7.74%	0.903
51	34.96%	5.00%	5.00%	5.00%	30.00%	15.04%	5.00%	8.53%	7.78%	0.901
52	35.42%	5.00%	5.00%	5.00%	30.00%	14.58%	5.00%	8.56%	7.83%	0.900
53	35.87%	5.00%	5.00%	5.00%	30.00%	14.13%	5.00%	8.59%	7.87%	0.898
54	36.33%	5.00%	5.00%	5.00%	30.00%	13.67%	5.00%	8.62%	7.91%	0.897
55	36.79%	5.00%	5.00%	5.00%	30.00%	13.21%	5.00%	8.65%	7.96%	0.895
56	37.25%	5.00%	5.00%	5.00%	30.00%	12.75%	5.00%	8.68%	8.00%	0.894
57	37.71%	5.00%	5.00%	5.00%	30.00%	12.29%	5.00%	8.71%	8.05%	0.892
58	38.16%	5.00%	5.00%	5.00%	30.00%	11.84%	5.00%	8.74%	8.09%	0.891
59	38.62%	5.00%	5.00%	5.00%	30.00%	11.38%	5.00%	8.77%	8.14%	0.889
60	39.08%	5.00%	5.00%	5.00%	30.00%	10.92%	5.00%	8.80%	8.19%	0.887
61	39.54%	5.00%	5.00%	5.00%	30.00%	10.46%	5.00%	8.83%	8.24%	0.886
62	40.00%	5.00%	5.00%	5.00%	30.00%	10.00%	5.00%	8.86%	8.28%	0.884
63	40.00%	5.40%	5.00%	5.00%	30.00%	9.60%	5.00%	8.89%	8.33%	0.882
64	40.00%	5.81%	5.00%	5.00%	30.00%	9.19%	5.00%	8.92%	8.39%	0.879
65	40.00%	6.22%	5.00%	5.00%	30.00%	8.78%	5.00%	8.95%	8.44%	0.877
66	40.00%	6.63%	5.00%	5.00%	30.00%	8.37%	5.00%	8.98%	8.49%	0.875
67	40.00%	7.04%	5.00%	5.00%	30.00%	7.96%	5.00%	9.01%	8.55%	0.872
68	40.00%	7.44%	5.00%	5.00%	30.00%	7.56%	5.00%	9.04%	8.60%	0.870
69	40.00%	7.85%	5.00%	5.00%	30.00%	7.15%	5.00%	9.07%	8.66%	0.868
70	40.00%	8.26%	5.00%	5.00%	30.00%	6.74%	5.00%	9.10%	8.72%	0.865
71	40.00%	8.67%	5.00%	5.00%	30.00%	6.33%	5.00%	9.13%	8.77%	0.863
72	40.00%	9.08%	5.00%	5.00%	30.00%	5.92%	5.00%	9.16%	8.83%	0.860
73	40.00%	9.48%	5.00%	5.00%	30.00%	5.52%	5.00%	9.19%	8.89%	0.858
74	40.00%	9.89%	5.00%	5.00%	30.00%	5.11%	5.00%	9.22%	8.95%	0.855
75	40.00%	10.47%	5.00%	5.00%	29.53%	5.00%	5.00%	9.25%	9.03%	0.851
76	40.00%	11.12%	5.00%	5.00%	28.88%	5.00%	5.00%	9.28%	9.12%	0.845
77	40.00%	11.76%	5.00%	5.00%	28.24%	5.00%	5.00%	9.31%	9.21%	0.840
78	40.00%	12.41%	5.00%	5.00%	27.59%	5.00%	5.00%	9.34%	9.30%	0.835
79	40.00%	13.05%	5.00%	5.00%	26.95%	5.00%	5.00%	9.37%	9.40%	0.829
80	40.00%	13.70%	5.00%	5.00%	26.30%	5.00%	5.00%	9.40%	9.50%	0.823
81	40.00%	14.34%	5.00%	5.00%	25.66%	5.00%	5.00%	9.43%	9.60%	0.817
82	40.00%	14.99%	5.00%	5.00%	25.01%	5.00%	5.00%	9.46%	9.70%	0.812
83	40.00%	15.63%	5.00%	5.00%	24.37%	5.00%	5.00%	9.49%	9.81%	0.806
84	40.00%	16.27%	5.00%	5.00%	23.73%	5.00%	5.00%	9.52%	9.92%	0.800
85	40.00%	16.92%	5.00%	5.00%	23.08%	5.00%	5.00%	9.55%	10.02%	0.794
86	40.00%	17.56%	5.00%	5.00%	22.44%	5.00%	5.00%	9.58%	10.14%	0.788
87	40.00%	18.21%	5.00%	5.00%	21.79%	5.00%	5.00%	9.61%	10.25%	0.782
88	40.00%	18.85%	5.00%	5.00%	21.15%	5.00%	5.00%	9.64%	10.36%	0.776
89	40.00%	19.50%	5.00%	5.00%	20.50%	5.00%	5.00%	9.67%	10.48%	0.770
90	40.00%	20.00%	5.00%	5.22%	19.78%	5.00%	5.00%	9.70%	10.61%	0.763
91	40.00%	20.00%	5.00%	6.19%	18.81%	5.00%	5.00%	9.73%	10.79%	0.753
92	40.00%	20.00%	5.00%	7.17%	17.83%	5.00%	5.00%	9.76%	10.97%	0.743
93	40.00%	20.00%	5.00%	8.15%	16.85%	5.00%	5.00%	9.79%	11.16%	0.733
94	40.00%	20.00%	5.00%	9.13%	15.87%	5.00%	5.00%	9.83%	11.35%	0.723
95	40.00%	20.00%	5.00%	10.11%	14.89%	5.00%	5.00%	9.86%	11.54%	0.714
96	40.00%	20.00%	5.00%	11.09%	13.91%	5.00%	5.00%	9.89%	11.74%	0.704
97	40.00%	20.00%	5.00%	12.06%	12.94%	5.00%	5.00%	9.92%	11.93%	0.695
98	40.00%	20.00%	5.00%	13.04%	11.96%	5.00%	5.00%	9.95%	12.13%	0.685
99	40.00%	20.00%	5.00%	14.02%	10.98%	5.00%	5.00%	9.98%	12.34%	0.676
100	40.00%	20.00%	5.00%	15.00%	10.00%	5.00%	5.00%	10.01%	12.54%	0.667
^*Ex-ante values shown for portfolio return and volatility. Ex-ante Sharpe Ratio calculated using historical 3-month treasury bill returns as the risk-free rate.

Annual returns for the configured portfolios
Year	Inflation	Maximum Sharpe Ratio Return	Maximum Sharpe Ratio Balance	SPDR S&P 500 ETF Trust (SPY)	iShares S&P Small-Cap 600 Value ETF (IJS)	iShares MSCI EAFE ETF (EFA)	iShares MSCI Emerging Markets ETF (EEM)	iShares 20+ Year Treasury Bond ETF (TLT)	iShares 7-10 Year Treasury Bond ETF (IEF)	iShares iBoxx $ Invmt Grade Corp Bd ETF (LQD)
2004	3.26%	9.76%	$10,976	10.70%	22.60%	18.95%	24.63%	8.71%	4.12%	5.72%
2005	3.42%	6.90%	$11,733	4.83%	6.00%	13.32%	32.62%	8.61%	2.64%	1.16%
2006	2.54%	8.95%	$12,784	15.85%	19.37%	25.81%	31.19%	0.71%	2.52%	4.22%
2007	4.08%	9.14%	$13,952	5.14%	-5.56%	9.94%	33.31%	10.29%	10.37%	3.73%
2008	0.09%	-5.83%	$13,138	-36.81%	-29.39%	-41.04%	-48.88%	33.93%	17.91%	2.40%
2009	2.72%	4.43%	$13,720	26.36%	22.36%	26.95%	68.93%	-21.80%	-6.59%	8.46%
2010	1.50%	12.89%	$15,488	15.06%	24.69%	8.15%	16.51%	9.05%	9.37%	9.33%
2011	2.96%	12.28%	$17,391	1.89%	-1.65%	-12.25%	-18.82%	33.96%	15.64%	9.73%
2012	1.74%	9.58%	$19,056	15.99%	18.24%	18.82%	19.10%	2.63%	3.66%	10.58%
2013	1.50%	4.68%	$19,948	32.31%	39.34%	21.40%	-3.69%	-13.37%	-6.09%	-2.00%
2014	0.76%	12.90%	$22,522	13.46%	7.56%	-6.20%	-3.93%	27.30%	9.07%	8.21%
2015	0.73%	-0.51%	$22,406	1.25%	-6.90%	-1.00%	-16.18%	-1.79%	1.51%	-1.25%
2016	2.07%	6.40%	$23,840	12.00%	31.25%	1.37%	10.87%	1.18%	1.00%	6.21%
2017	2.11%	12.37%	$26,790	21.70%	11.35%	25.10%	37.28%	9.18%	2.55%	7.06%
2018	1.91%	-3.25%	$25,920	-4.56%	-12.84%	-13.81%	-15.31%	-1.61%	0.99%	-3.79%
2019	2.29%	18.35%	$30,677	31.22%	24.12%	22.03%	18.20%	14.12%	8.03%	17.37%
2020	1.36%	15.50%	$35,432	18.37%	2.63%	7.59%	17.03%	18.15%	10.01%	10.97%
2021	5.31%	2.51%	$36,321	15.91%	25.15%	8.38%	-2.07%	-7.55%	-3.44%	-2.21%
Annual return for 2021 is from 01/01/2021 to 09/30/2021

Monthly returns for the configured portfolios
Year	Month	Maximum Sharpe Ratio Return	Maximum Sharpe Ratio Balance	SPDR S&P 500 ETF Trust (SPY)	iShares S&P Small-Cap 600 Value ETF (IJS)	iShares MSCI EAFE ETF (EFA)	iShares MSCI Emerging Markets ETF (EEM)	iShares 20+ Year Treasury Bond ETF (TLT)	iShares 7-10 Year Treasury Bond ETF (IEF)	iShares iBoxx $ Invmt Grade Corp Bd ETF (LQD)
2004	1	1.61%	$10,161	1.98%	2.17%	1.13%	2.42%	1.86%	1.02%	1.22%
2004	2	1.90%	$10,354	1.36%	2.50%	2.30%	3.95%	2.28%	1.61%	1.51%
2004	3	0.56%	$10,412	-1.32%	1.82%	0.07%	0.55%	1.41%	1.30%	0.99%
2004	4	-4.34%	$9,959	-1.89%	-3.93%	-3.39%	-9.80%	-6.23%	-4.35%	-3.89%
2004	5	0.39%	$9,998	1.71%	1.58%	1.14%	1.17%	-0.26%	-0.53%	-0.52%
2004	6	1.42%	$10,140	1.85%	5.35%	3.35%	0.92%	1.06%	0.65%	0.13%
2004	7	-0.66%	$10,073	-3.22%	-4.75%	-4.27%	-3.64%	1.53%	1.21%	1.56%
2004	8	2.32%	$10,307	0.24%	0.24%	1.19%	3.53%	4.17%	2.83%	3.08%
2004	9	1.29%	$10,439	1.00%	4.69%	2.07%	6.98%	0.95%	0.32%	0.31%
2004	10	1.48%	$10,594	1.29%	0.95%	3.50%	2.85%	1.77%	0.99%	1.18%
2004	11	1.18%	$10,719	4.45%	9.11%	6.08%	9.95%	-2.39%	-1.98%	-1.22%
2004	12	2.40%	$10,976	3.02%	1.57%	4.80%	4.74%	2.66%	1.17%	1.39%
2005	1	0.31%	$11,011	-2.24%	-3.25%	-1.90%	-0.53%	3.57%	0.87%	1.23%
2005	2	0.55%	$11,071	2.09%	2.90%	3.78%	9.68%	-1.47%	-1.37%	-0.94%
2005	3	-1.41%	$10,915	-1.83%	-2.36%	-2.62%	-7.91%	-0.45%	-0.40%	-1.26%
2005	4	0.88%	$11,011	-1.87%	-5.12%	-1.62%	-1.25%	3.86%	2.52%	1.62%
2005	5	2.60%	$11,297	3.22%	6.16%	-0.86%	3.16%	3.14%	1.84%	0.62%
2005	6	1.23%	$11,435	0.15%	3.92%	1.43%	3.97%	2.16%	0.48%	1.22%
2005	7	0.31%	$11,471	3.83%	5.84%	3.00%	7.68%	-3.38%	-2.18%	-0.82%
2005	8	1.43%	$11,635	-0.94%	-1.87%	3.84%	1.32%	3.48%	2.00%	1.50%
2005	9	-0.66%	$11,558	0.80%	0.05%	3.69%	8.65%	-3.61%	-1.75%	-1.86%
2005	10	-2.25%	$11,298	-2.37%	-3.41%	-3.18%	-6.34%	-2.24%	-1.24%	-1.58%
2005	11	2.18%	$11,545	4.40%	4.91%	2.31%	5.79%	0.69%	0.63%	0.66%
2005	12	1.63%	$11,733	-0.19%	-1.06%	5.18%	6.10%	2.98%	1.37%	0.86%
2006	1	1.51%	$11,910	2.40%	8.75%	5.77%	14.20%	-1.34%	-0.70%	-0.44%
2006	2	0.20%	$11,934	0.57%	0.27%	-0.70%	-3.85%	1.11%	-0.10%	0.68%
2006	3	-0.61%	$11,861	1.65%	4.86%	4.01%	2.17%	-4.57%	-1.36%	-1.68%
2006	4	0.04%	$11,866	1.26%	0.18%	4.79%	6.52%	-2.75%	-0.63%	-0.20%
2006	5	-1.84%	$11,648	-3.01%	-4.55%	-3.82%	-11.14%	-0.19%	-0.10%	-0.19%
2006	6	0.43%	$11,697	0.26%	0.04%	-0.06%	0.21%	1.18%	0.23%	-0.09%
2006	7	1.22%	$11,839	0.45%	-3.10%	0.81%	2.34%	2.16%	1.68%	1.46%
2006	8	2.28%	$12,110	2.18%	2.70%	2.55%	1.58%	3.06%	1.76%	2.22%
2006	9	1.59%	$12,303	2.70%	1.19%	0.22%	-0.87%	1.91%	1.21%	0.87%
2006	10	2.05%	$12,555	3.15%	5.52%	3.75%	7.06%	0.85%	0.54%	1.00%
2006	11	2.11%	$12,819	1.99%	2.38%	3.07%	5.98%	2.31%	1.31%	1.46%
2006	12	-0.28%	$12,784	1.34%	0.32%	3.20%	5.44%	-2.69%	-1.28%	-0.90%
2007	1	0.22%	$12,811	1.50%	2.14%	1.39%	0.11%	-1.00%	-0.40%	0.09%
2007	2	0.81%	$12,915	-1.96%	-0.92%	-0.12%	-3.24%	3.39%	2.06%	2.00%
2007	3	0.27%	$12,950	1.16%	0.91%	2.90%	5.33%	-1.70%	-0.14%	-0.68%
2007	4	2.06%	$13,217	4.43%	1.84%	3.75%	3.73%	0.90%	0.61%	0.89%
2007	5	0.45%	$13,276	3.39%	4.63%	2.36%	5.06%	-2.31%	-1.39%	-1.23%
2007	6	-0.75%	$13,177	-1.46%	-2.24%	-0.32%	3.68%	-1.01%	-0.47%	-0.81%
2007	7	0.23%	$13,207	-3.13%	-6.26%	-2.29%	0.71%	3.32%	2.26%	-0.82%
2007	8	1.65%	$13,425	1.28%	1.33%	-0.63%	1.04%	1.79%	2.26%	2.38%
2007	9	1.98%	$13,691	3.87%	0.31%	5.32%	11.57%	0.23%	0.09%	0.73%
2007	10	2.02%	$13,967	1.36%	1.06%	4.25%	11.87%	1.81%	1.08%	0.97%
2007	11	0.62%	$14,054	-3.87%	-7.15%	-3.62%	-7.65%	5.35%	4.04%	1.02%
2007	12	-0.73%	$13,952	-1.13%	-0.71%	-2.99%	-1.43%	-0.64%	0.05%	-0.81%
2008	1	-0.97%	$13,816	-6.05%	-4.00%	-7.85%	-8.92%	2.10%	3.36%	2.57%
2008	2	-0.56%	$13,738	-2.58%	-3.36%	-1.02%	1.99%	-0.46%	1.24%	-0.71%
2008	3	0.53%	$13,811	-0.90%	0.83%	0.42%	-3.75%	2.14%	1.34%	-0.60%
2008	4	0.84%	$13,927	4.77%	2.64%	5.44%	9.14%	-2.48%	-2.41%	1.25%
2008	5	-0.48%	$13,859	1.51%	3.92%	1.19%	3.16%	-2.69%	-1.78%	-2.21%
2008	6	-2.58%	$13,502	-8.35%	-8.41%	-8.80%	-9.29%	2.65%	1.14%	-1.29%
2008	7	-0.38%	$13,450	-0.90%	2.87%	-3.32%	-5.50%	-0.37%	0.72%	0.39%
2008	8	1.23%	$13,617	1.55%	4.76%	-4.25%	-6.32%	2.74%	1.53%	0.15%
2008	9	-4.22%	$13,042	-9.44%	-4.82%	-11.44%	-14.68%	1.47%	-0.14%	-10.73%
2008	10	-8.41%	$11,945	-16.52%	-19.86%	-20.83%	-25.58%	-1.86%	-0.87%	-1.95%
2008	11	2.74%	$12,272	-6.96%	-11.80%	-6.37%	-9.75%	14.34%	7.75%	3.35%
2008	12	7.06%	$13,138	0.98%	6.57%	8.88%	10.35%	13.64%	5.15%	13.80%
2009	1	-8.38%	$12,037	-8.21%	-13.94%	-13.73%	-9.29%	-13.07%	-3.89%	-1.80%
2009	2	-5.12%	$11,420	-10.74%	-13.03%	-10.39%	-6.27%	-1.54%	-0.74%	-5.20%
2009	3	5.80%	$12,083	8.35%	7.58%	8.39%	16.86%	4.04%	3.31%	0.47%
2009	4	2.52%	$12,387	9.93%	18.89%	11.52%	15.56%	-6.95%	-2.75%	2.78%
2009	5	1.61%	$12,587	5.85%	0.67%	13.19%	15.94%	-3.69%	-2.08%	2.32%
2009	6	0.04%	$12,592	-0.07%	1.52%	-1.43%	-2.25%	0.76%	-0.55%	2.89%
2009	7	4.16%	$13,115	7.46%	11.00%	10.04%	11.01%	0.58%	0.83%	4.63%
2009	8	2.13%	$13,394	3.69%	3.48%	4.50%	-1.31%	2.24%	0.77%	1.31%
2009	9	2.85%	$13,776	3.55%	4.21%	3.80%	10.20%	2.46%	1.12%	1.76%
2009	10	-1.80%	$13,528	-1.92%	-6.07%	-2.52%	-3.44%	-2.62%	-0.14%	-0.49%
2009	11	3.33%	$13,978	6.16%	2.90%	3.92%	7.85%	1.21%	2.02%	1.95%
2009	12	-1.85%	$13,720	1.91%	8.10%	0.70%	3.27%	-6.34%	-4.40%	-2.07%
2010	1	-0.29%	$13,680	-3.63%	-2.54%	-5.07%	-7.76%	2.69%	2.37%	1.25%
2010	2	1.19%	$13,843	3.12%	4.76%	0.27%	1.78%	-0.34%	0.33%	0.51%
2010	3	1.92%	$14,109	6.09%	7.80%	6.39%	8.11%	-2.06%	-1.06%	0.65%
2010	4	1.97%	$14,387	1.55%	6.63%	-2.80%	-0.17%	3.32%	1.65%	1.91%
2010	5	-1.48%	$14,175	-7.95%	-8.54%	-11.19%	-9.39%	5.11%	2.93%	-1.31%
2010	6	0.54%	$14,251	-5.17%	-8.27%	-2.07%	-1.40%	5.80%	3.05%	3.28%
2010	7	3.39%	$14,734	6.83%	6.71%	11.61%	10.93%	-0.95%	0.91%	2.11%
2010	8	1.25%	$14,918	-4.50%	-7.91%	-3.80%	-3.24%	8.40%	3.36%	2.86%
2010	9	3.38%	$15,422	8.96%	10.93%	9.97%	11.76%	-2.51%	-0.00%	0.46%
2010	10	0.45%	$15,491	3.82%	4.04%	3.81%	3.02%	-4.47%	-0.01%	-0.26%
2010	11	-1.02%	$15,333	0.00%	2.47%	-4.82%	-2.91%	-1.69%	-0.90%	-1.62%
2010	12	1.01%	$15,488	6.68%	8.97%	8.30%	7.27%	-3.68%	-3.43%	-0.75%
2011	1	-0.24%	$15,451	2.33%	-0.24%	2.10%	-3.84%	-3.08%	-0.02%	0.04%
2011	2	1.68%	$15,710	3.47%	4.21%	3.55%	-0.04%	1.65%	-0.21%	1.08%
2011	3	0.24%	$15,748	0.01%	2.21%	-2.39%	6.29%	0.03%	-0.15%	-0.54%
2011	4	2.46%	$16,136	2.90%	1.06%	5.63%	2.73%	2.34%	1.84%	2.50%
2011	5	1.00%	$16,297	-1.12%	-1.77%	-2.21%	-2.94%	3.42%	2.51%	1.27%
2011	6	-1.38%	$16,073	-1.69%	-1.59%	-1.19%	-0.93%	-2.33%	-0.51%	-0.80%
2011	7	1.31%	$16,283	-2.00%	-2.77%	-2.38%	-1.03%	4.42%	3.17%	2.43%
2011	8	1.01%	$16,447	-5.50%	-7.98%	-8.75%	-9.25%	9.66%	4.65%	0.34%
2011	9	0.09%	$16,462	-6.94%	-10.57%	-10.81%	-17.89%	13.20%	2.24%	0.35%
2011	10	3.71%	$17,074	10.91%	15.34%	9.63%	16.27%	-3.84%	-1.29%	2.51%
2011	11	0.21%	$17,110	-0.41%	0.63%	-2.18%	-1.96%	1.98%	0.58%	-3.16%
2011	12	1.64%	$17,391	1.04%	2.02%	-2.21%	-4.30%	3.44%	1.99%	3.49%
2012	1	2.70%	$17,860	4.64%	7.90%	5.27%	10.99%	-0.33%	0.86%	2.14%
2012	2	0.85%	$18,012	4.34%	1.71%	4.83%	5.27%	-2.59%	-1.10%	1.63%
2012	3	-0.72%	$17,882	3.22%	2.89%	0.42%	-3.11%	-4.23%	-1.59%	-1.42%
2012	4	1.51%	$18,152	-0.67%	-1.91%	-2.08%	-1.70%	4.83%	2.51%	1.08%
2012	5	0.06%	$18,162	-6.01%	-7.18%	-11.14%	-10.71%	9.03%	2.87%	0.76%
2012	6	1.40%	$18,417	4.05%	4.54%	7.11%	5.08%	-1.68%	-0.42%	0.87%
2012	7	1.79%	$18,746	1.18%	-0.69%	0.08%	-0.03%	3.82%	1.40%	3.48%
2012	8	0.68%	$18,874	2.51%	4.08%	3.20%	0.41%	-1.32%	-0.12%	-0.05%
2012	9	0.55%	$18,978	2.54%	3.14%	2.71%	5.22%	-2.53%	-0.35%	1.10%
2012	10	-0.71%	$18,844	-1.82%	-1.96%	1.09%	-0.44%	-0.48%	-0.40%	1.35%
2012	11	1.05%	$19,042	0.57%	1.65%	2.78%	1.56%	1.38%	0.98%	-0.42%
2012	12	0.07%	$19,056	0.90%	3.55%	4.37%	6.80%	-2.49%	-0.94%	-0.33%
2013	1	0.55%	$19,161	5.12%	5.35%	3.73%	-0.29%	-3.19%	-1.29%	-1.30%
2013	2	0.93%	$19,339	1.28%	1.63%	-1.29%	-2.28%	1.24%	1.13%	1.08%
2013	3	1.19%	$19,569	3.80%	4.11%	1.31%	-1.02%	-0.42%	0.29%	-0.05%
2013	4	2.51%	$20,059	1.92%	0.12%	5.02%	1.22%	4.68%	1.52%	2.17%
2013	5	-2.28%	$19,601	2.36%	4.29%	-3.02%	-4.83%	-6.76%	-3.11%	-3.22%
2013	6	-2.47%	$19,117	-1.34%	-0.14%	-2.70%	-5.35%	-3.27%	-2.55%	-3.27%
2013	7	1.41%	$19,387	5.17%	6.56%	5.32%	1.32%	-2.26%	-0.35%	1.11%
2013	8	-1.97%	$19,004	-3.00%	-3.41%	-1.96%	-2.54%	-1.34%	-1.42%	-1.00%
2013	9	2.65%	$19,509	3.17%	6.59%	7.82%	7.21%	0.66%	1.85%	0.74%
2013	10	2.42%	$19,980	4.63%	3.48%	3.26%	4.17%	1.43%	0.78%	1.81%
2013	11	0.08%	$19,996	2.96%	4.25%	0.55%	-0.26%	-2.70%	-0.88%	-0.14%
2013	12	-0.24%	$19,948	2.59%	1.29%	2.16%	-0.42%	-1.87%	-2.09%	0.22%
2014	1	0.74%	$20,096	-3.52%	-3.51%	-5.20%	-8.64%	6.30%	3.06%	1.88%
2014	2	2.18%	$20,534	4.55%	4.63%	6.13%	3.38%	0.52%	0.36%	1.14%
2014	3	0.46%	$20,628	0.83%	1.34%	-0.46%	3.88%	0.73%	-0.56%	-0.03%
2014	4	0.99%	$20,832	0.70%	-2.29%	1.67%	0.78%	2.10%	0.76%	1.33%
2014	5	2.19%	$21,288	2.32%	0.62%	1.60%	2.95%	2.95%	1.82%	1.51%
2014	6	0.77%	$21,452	2.06%	3.85%	0.92%	2.40%	-0.25%	-0.22%	0.01%
2014	7	-0.59%	$21,327	-1.34%	-5.07%	-2.60%	1.36%	0.67%	-0.22%	-0.32%
2014	8	3.20%	$22,008	3.95%	4.46%	0.18%	2.83%	4.72%	1.88%	2.00%
2014	9	-2.14%	$21,537	-1.38%	-5.94%	-3.88%	-7.77%	-2.11%	-1.05%	-1.68%
2014	10	2.22%	$22,016	2.36%	7.13%	-0.27%	1.42%	2.81%	1.53%	1.23%
2014	11	1.81%	$22,414	2.75%	0.48%	0.06%	-1.54%	2.97%	1.29%	0.91%
2014	12	0.48%	$22,522	-0.26%	2.56%	-4.00%	-3.99%	3.25%	0.13%	-0.02%
2015	1	2.80%	$23,152	-2.96%	-5.32%	0.62%	-0.69%	9.82%	4.30%	3.75%
2015	2	0.00%	$23,153	5.62%	5.86%	6.34%	4.41%	-6.14%	-2.47%	-1.42%
2015	3	0.03%	$23,159	-1.57%	1.03%	-1.43%	-1.50%	1.10%	0.86%	0.20%
2015	4	-0.38%	$23,070	0.98%	-1.82%	3.65%	6.85%	-3.43%	-0.63%	-1.19%
2015	5	-0.57%	$22,937	1.29%	0.75%	0.20%	-4.10%	-2.37%	-0.42%	-1.12%
2015	6	-2.37%	$22,394	-2.03%	0.42%	-3.12%	-2.93%	-4.07%	-1.63%	-1.88%
2015	7	1.83%	$22,803	2.26%	-2.70%	2.03%	-6.31%	4.55%	1.52%	0.83%
2015	8	-2.81%	$22,162	-6.10%	-4.62%	-7.43%	-8.84%	-0.69%	0.08%	-0.83%
2015	9	-0.22%	$22,113	-2.54%	-3.77%	-4.42%	-3.13%	1.97%	1.58%	1.19%
2015	10	2.93%	$22,760	8.51%	6.57%	6.61%	6.38%	-0.41%	-0.64%	0.57%
2015	11	-0.29%	$22,694	0.37%	2.47%	-0.75%	-2.52%	-0.87%	-0.43%	-0.15%
2015	12	-1.27%	$22,406	-1.72%	-5.08%	-2.34%	-3.83%	-0.30%	-0.45%	-1.08%
2016	1	0.23%	$22,458	-4.98%	-5.85%	-5.52%	-5.03%	5.57%	3.33%	0.12%
2016	2	1.12%	$22,708	-0.08%	2.08%	-3.33%	-0.82%	3.09%	1.49%	1.05%
2016	3	3.33%	$23,465	6.72%	9.41%	6.58%	12.96%	-0.09%	-0.06%	3.62%
2016	4	0.19%	$23,511	0.39%	2.13%	2.22%	0.41%	-0.74%	-0.16%	1.55%
2016	5	0.41%	$23,608	1.70%	0.44%	-0.09%	-3.69%	0.81%	-0.10%	-0.51%
2016	6	2.99%	$24,313	0.35%	0.83%	-2.42%	4.56%	6.93%	3.09%	3.09%
2016	7	2.31%	$24,875	3.65%	5.06%	3.98%	5.38%	2.10%	0.25%	1.29%
2016	8	-0.38%	$24,781	0.12%	1.13%	0.53%	0.88%	-1.01%	-1.01%	0.18%
2016	9	-0.07%	$24,764	0.01%	0.87%	1.34%	2.52%	-1.51%	0.24%	-0.32%
2016	10	-2.37%	$24,178	-1.73%	-3.74%	-2.22%	-0.83%	-4.38%	-1.49%	-1.53%
2016	11	-2.09%	$23,673	3.68%	13.34%	-1.78%	-4.42%	-8.21%	-4.23%	-3.17%
2016	12	0.71%	$23,840	2.03%	3.20%	2.71%	-0.25%	-0.46%	-0.12%	0.84%
2017	1	1.17%	$24,119	1.79%	-1.21%	3.29%	6.66%	0.81%	0.22%	0.15%
2017	2	1.90%	$24,577	3.93%	1.35%	1.19%	1.74%	1.59%	0.72%	1.32%
2017	3	0.20%	$24,626	0.13%	-0.65%	3.23%	3.69%	-0.65%	0.08%	-0.29%
2017	4	1.26%	$24,936	0.99%	0.51%	2.42%	1.70%	1.57%	1.11%	1.19%
2017	5	1.34%	$25,271	1.41%	-2.26%	3.54%	2.85%	1.89%	0.83%	1.33%
2017	6	0.44%	$25,382	0.64%	2.96%	0.31%	0.93%	0.79%	-0.51%	0.48%
2017	7	0.99%	$25,632	2.06%	0.75%	2.65%	5.82%	-0.66%	0.38%	0.77%
2017	8	1.34%	$25,977	0.29%	-2.72%	-0.04%	2.35%	3.41%	1.46%	0.68%
2017	9	0.08%	$25,997	2.01%	8.58%	2.36%	-0.04%	-2.32%	-1.44%	-0.05%
2017	10	0.83%	$26,213	2.36%	0.59%	1.68%	3.28%	-0.04%	-0.19%	0.19%
2017	11	1.09%	$26,498	3.06%	3.76%	0.69%	-0.39%	0.74%	-0.28%	-0.12%
2017	12	1.10%	$26,790	1.21%	-0.37%	1.35%	3.77%	1.81%	0.18%	1.22%
2018	1	0.71%	$26,979	5.64%	1.33%	5.02%	8.30%	-3.26%	-2.15%	-1.23%
2018	2	-2.80%	$26,223	-3.64%	-4.04%	-4.83%	-5.90%	-3.04%	-0.93%	-2.24%
2018	3	0.40%	$26,328	-2.74%	1.37%	-0.84%	0.54%	2.86%	1.16%	0.56%
2018	4	-0.81%	$26,116	0.52%	1.76%	1.52%	-2.82%	-2.09%	-1.28%	-1.57%
2018	5	1.50%	$26,509	2.43%	5.87%	-1.89%	-2.62%	2.01%	0.99%	0.52%
2018	6	0.07%	$26,528	0.58%	0.80%	-1.57%	-4.54%	0.65%	0.20%	-0.49%
2018	7	0.98%	$26,787	3.70%	2.62%	2.85%	3.53%	-1.44%	-0.53%	1.34%
2018	8	1.31%	$27,137	3.19%	3.14%	-2.24%	-3.77%	1.31%	1.01%	0.02%
2018	9	-1.04%	$26,856	0.59%	-3.05%	0.97%	-0.58%	-2.86%	-1.20%	-0.14%
2018	10	-4.03%	$25,773	-6.91%	-9.94%	-8.13%	-8.76%	-2.93%	-0.30%	-2.05%
2018	11	1.59%	$26,183	1.85%	0.57%	0.50%	4.90%	1.79%	1.33%	-0.36%
2018	12	-1.01%	$25,920	-8.79%	-12.38%	-5.35%	-3.50%	5.85%	2.80%	1.86%
2019	1	4.00%	$26,956	8.01%	12.26%	6.63%	10.34%	0.38%	0.65%	3.37%
2019	2	0.60%	$27,118	3.24%	4.13%	2.54%	-1.53%	-1.38%	-0.52%	-0.20%
2019	3	2.66%	$27,839	1.81%	-3.91%	0.92%	1.13%	5.57%	2.66%	2.93%
2019	4	0.93%	$28,098	4.09%	4.32%	2.93%	2.35%	-1.99%	-0.52%	0.44%
2019	5	-0.13%	$28,060	-6.38%	-9.98%	-5.03%	-7.33%	6.84%	3.05%	1.65%
2019	6	3.55%	$29,057	6.96%	7.66%	5.91%	6.20%	0.95%	1.22%	3.25%
2019	7	0.31%	$29,148	1.51%	1.30%	-1.95%	-2.66%	0.26%	0.04%	0.25%
2019	8	3.06%	$30,039	-1.67%	-5.14%	-1.92%	-3.78%	11.04%	3.95%	3.88%
2019	9	-0.01%	$30,035	1.95%	5.57%	3.16%	1.69%	-2.68%	-1.19%	-0.76%
2019	10	0.86%	$30,295	2.21%	2.00%	3.39%	4.18%	-1.11%	0.19%	0.44%
2019	11	0.85%	$30,552	3.62%	2.71%	1.13%	-0.09%	-0.41%	-0.69%	0.47%
2019	12	0.41%	$30,677	2.90%	2.84%	2.98%	7.71%	-3.20%	-0.93%	0.53%
2020	1	2.24%	$31,363	-0.04%	-6.31%	-2.82%	-6.15%	7.69%	3.47%	2.45%
2020	2	-0.60%	$31,173	-7.92%	-10.15%	-7.77%	-3.78%	6.63%	2.96%	1.09%
2020	3	-3.68%	$30,025	-12.46%	-25.76%	-14.11%	-15.77%	6.38%	3.72%	-6.31%
2020	4	5.27%	$31,606	12.70%	13.89%	5.82%	7.35%	1.22%	0.27%	4.85%
2020	5	1.58%	$32,106	4.76%	2.55%	5.43%	2.97%	-1.76%	0.33%	2.46%
2020	6	1.35%	$32,539	1.78%	3.58%	3.51%	6.61%	0.34%	0.04%	2.13%
2020	7	3.64%	$33,725	5.89%	2.58%	1.94%	8.25%	4.44%	0.85%	3.10%
2020	8	0.85%	$34,013	6.98%	5.07%	4.72%	2.89%	-5.05%	-0.97%	-1.78%
2020	9	-1.12%	$33,631	-3.74%	-5.18%	-2.05%	-1.01%	0.77%	0.33%	-0.44%
2020	10	-1.83%	$33,017	-2.49%	3.66%	-3.55%	1.41%	-3.39%	-1.38%	-0.51%
2020	11	5.64%	$34,879	10.88%	19.21%	14.27%	8.99%	1.66%	0.34%	3.77%
2020	12	1.59%	$35,432	3.71%	7.50%	5.01%	7.14%	-1.23%	-0.24%	0.15%
2021	1	-1.12%	$35,034	-1.02%	6.25%	-0.78%	3.17%	-3.63%	-1.09%	-1.83%
2021	2	-0.79%	$34,758	2.78%	10.80%	2.24%	0.79%	-5.73%	-2.36%	-2.26%
2021	3	-0.50%	$34,584	4.54%	5.61%	2.51%	-0.73%	-5.24%	-2.39%	-1.48%
2021	4	2.62%	$35,489	5.29%	1.69%	2.95%	1.20%	2.49%	1.00%	1.04%
2021	5	0.78%	$35,766	0.66%	3.89%	3.48%	1.65%	0.00%	0.42%	0.62%
2021	6	2.02%	$36,489	2.25%	-0.71%	-1.08%	0.95%	4.42%	1.02%	2.21%
2021	7	1.69%	$37,107	2.44%	-4.36%	0.77%	-6.44%	3.72%	1.99%	1.42%
2021	8	0.80%	$37,403	2.98%	1.82%	1.45%	1.57%	-0.34%	-0.39%	-0.34%
2021	9	-2.89%	$36,321	-4.66%	-1.46%	-3.26%	-3.87%	-2.91%	-1.60%	-1.51%

Portfolio return and risk metrics
Metric	Maximum Sharpe Ratio
Arithmetic Mean (monthly)	0.63%
Arithmetic Mean (annualized)	7.79%
Geometric Mean (monthly)	0.61%
Geometric Mean (annualized)	7.54%
Volatility (monthly)	1.98%
Volatility (annualized)	6.87%
Downside Deviation (monthly)	1.26%
Max. Drawdown	-18.74%
US Market Correlation	0.69
Beta^(*)	0.32
Alpha (annualized)	4.00%
R²	48.10%
Sharpe Ratio	0.92
Sortino Ratio	1.41
Treynor Ratio (%)	19.64
Calmar Ratio	2.48
Active Return	-2.77%
Tracking Error	11.19%
Information Ratio	-0.25
Skewness	-0.89
Excess Kurtosis	3.99
Historical Value-at-Risk (5%)	-2.51%
Analytical Value-at-Risk (5%)	-2.63%
Conditional Value-at-Risk (5%)	-4.48%
Upside Capture Ratio (%)	39.59
Downside Capture Ratio (%)	23.27
Safe Withdrawal Rate	8.64%
Perpetual Withdrawal Rate	5.11%
Positive Periods	153 out of 213 (71.83%)
Gain/Loss Ratio	0.92
^* US stock market is used as the benchmark for calculations. Value-at-risk metrics are based on monthly values.

Drawdowns for Historical Market Stress Periods

Drawdowns for Historical Market Stress Periods
Stress Period	Start	End	Maximum Sharpe Ratio
Subprime Crisis	Nov 2007	Mar 2009	-18.74%
COVID-19 Start	Jan 2020	Mar 2020	-4.27%

Drawdowns for Maximum Sharpe Ratio

Drawdowns for Maximum Sharpe Ratio (worst 10)
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Dec 2007	Feb 2009	1 year 3 months	Mar 2010	1 year 1 month	2 years 4 months	-18.74%
2	May 2013	Aug 2013	4 months	Jan 2014	5 months	9 months	-5.26%
3	Sep 2018	Oct 2018	2 months	Mar 2019	5 months	7 months	-5.03%
4	Aug 2016	Nov 2016	4 months	Apr 2017	5 months	9 months	-4.83%
5	Apr 2015	Sep 2015	6 months	Mar 2016	6 months	1 year	-4.51%
6	Apr 2004	Apr 2004	1 month	Sep 2004	5 months	6 months	-4.34%
7	Feb 2020	Mar 2020	2 months	Apr 2020	1 month	3 months	-4.27%
8	Feb 2018	Apr 2018	3 months	Aug 2018	4 months	7 months	-3.20%
9	Sep 2020	Oct 2020	2 months	Nov 2020	1 month	3 months	-2.93%
10	Sep 2005	Oct 2005	2 months	Dec 2005	2 months	4 months	-2.89%
Worst 10 drawdowns included above

Portfolio Assets

Performance statistics for portfolio components
Ticker	Name	CAGR	Stdev	Best Year	Worst Year	Max. Drawdown	Sharpe Ratio	Sortino Ratio	US Mkt Correlation
SPY	SPDR S&P 500 ETF Trust	10.04%	14.24%	32.31%	-36.81%	-50.80%	0.66	0.98	1.00
IJS	iShares S&P Small-Cap 600 Value ETF	9.73%	20.06%	39.34%	-29.39%	-54.13%	0.51	0.74	0.90
EFA	iShares MSCI EAFE ETF	5.88%	16.75%	26.95%	-41.04%	-57.38%	0.36	0.50	0.88
EEM	iShares MSCI Emerging Markets ETF	7.82%	21.58%	68.93%	-48.88%	-60.44%	0.40	0.60	0.78
TLT	iShares 20+ Year Treasury Bond ETF	6.43%	12.99%	33.96%	-21.80%	-21.80%	0.45	0.77	-0.31
IEF	iShares 7-10 Year Treasury Bond ETF	4.49%	6.09%	17.91%	-6.59%	-7.60%	0.56	0.94	-0.30
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	5.26%	7.15%	17.37%	-3.79%	-15.11%	0.58	0.94	0.32

Monthly Correlations

Correlations for the portfolio assets
Ticker	Name	SPY	IJS	EFA	EEM	TLT	IEF	LQD	Maximum Sharpe Ratio
SPY	SPDR S&P 500 ETF Trust	1.00	0.87	0.88	0.77	-0.30	-0.29	0.32	0.70
IJS	iShares S&P Small-Cap 600 Value ETF	0.87	1.00	0.77	0.70	-0.37	-0.37	0.23	0.56
EFA	iShares MSCI EAFE ETF	0.88	0.77	1.00	0.87	-0.24	-0.22	0.39	0.69
EEM	iShares MSCI Emerging Markets ETF	0.77	0.70	0.87	1.00	-0.22	-0.19	0.36	0.64
TLT	iShares 20+ Year Treasury Bond ETF	-0.30	-0.37	-0.24	-0.22	1.00	0.91	0.52	0.45
IEF	iShares 7-10 Year Treasury Bond ETF	-0.29	-0.37	-0.22	-0.19	0.91	1.00	0.52	0.44
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	0.32	0.23	0.39	0.36	0.52	0.52	1.00	0.74

Portfolio Risk Decomposition

Portfolio risk decomposition
Ticker	Name	Maximum Sharpe Ratio
SPY	SPDR S&P 500 ETF Trust	37.47%
IJS	iShares S&P Small-Cap 600 Value ETF	8.23%
EFA	iShares MSCI EAFE ETF	8.45%
EEM	iShares MSCI Emerging Markets ETF	10.11%
TLT	iShares 20+ Year Treasury Bond ETF	20.25%
IEF	iShares 7-10 Year Treasury Bond ETF	11.65%
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	3.84%

Annual Asset Returns

Rolling returns summary
Roll Period	Average	High	Low
1 year	7.85%	21.21%	-16.87%
3 years	7.30%	16.40%	-1.46%
5 years	7.16%	12.45%	1.98%
7 years	7.50%	10.32%	5.87%
10 years	7.56%	9.03%	6.33%
15 years	7.31%	7.91%	6.56%