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
Minimize Conditional Value-at-Risk – Optimize the portfolio to minimize the expected tail loss
Maximize Information Ratio – Find the portfolio that maximizes the information ratio against the selected benchmark
Risk Parity – Find the portfolio that equalizes the risk contribution of portfolio assets
Maximize Kelly Criterion – Finds the portfolio with the maximum expected geometric growth rate
Maximize Sortino Ratio – Find the portfolio that maximizes the Sortino ratio for the given minimum acceptable return
Maximize Omega Ratio – Find the portfolio that maximizes the Omega ratio for the given minimum acceptable return
Minimize 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

Robust Optimization

Use Historical Returns

Use Historical Volatility

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 - Dec 2019)

Note: The time period was constrained by the available data for iShares MSCI Emerging Markets ETF (EEM) [May 2003 - Dec 2019].

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 6.94% to 9.35%. Refer to the efficient frontier section for additional details.

Portfolio Allocations

Maximum Sharpe Ratio
Ticker	Name	Allocation
SPY	SPDR S&P 500 ETF Trust	26.03%
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	23.97%
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	$30,683
CAGR	7.26%
Expected Return	7.50%
Stdev	6.72%
Best Year	18.36%
Worst Year	-5.87%
Max. Drawdown	-18.78%
Sharpe Ratio (ex-ante)	0.92
Sharpe Ratio (ex-post)	0.88
Sortino Ratio	1.32
US Stock Market Correlation	0.67

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
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	CAGR	Expected Return^*	Standard Deviation	Sharpe Ratio^*	Min. Weight	Max. Weight
1	SPDR S&P 500 ETF Trust (SPY)	Equity	9.02%	10.02%	13.47%	0.646	5.00%	40.00%
2	iShares S&P Small-Cap 600 Value ETF (IJS)	Equity	9.13%	11.00%	18.43%	0.526	5.00%	20.00%
3	iShares MSCI EAFE ETF (EFA)	Equity	5.53%	6.99%	16.45%	0.345	5.00%	30.00%
4	iShares MSCI Emerging Markets ETF (EEM)	Equity	7.79%	10.38%	21.77%	0.416	5.00%	15.00%
5	iShares 20+ Year Treasury Bond ETF (TLT)	Fixed Income	6.57%	7.43%	12.92%	0.474	5.00%	30.00%
6	iShares 7-10 Year Treasury Bond ETF (IEF)	Fixed Income	4.59%	4.79%	6.12%	0.568	5.00%	30.00%
7	iShares iBoxx $ Invmt Grade Corp Bd ETF (LQD)	Fixed Income	5.32%	5.57%	6.98%	0.610	5.00%	20.00%
^*Expected return is annualized from historical monthly mean return. Ex ante Sharpe Ratio calculated using historical 3-month treasury bill returns as the risk-free rate (1.31% annualized).

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

Monthly Correlations

Efficient Frontier Asset Correlations
Name	Ticker	SPY	IJS	EFA	EEM	TLT	IEF	LQD
SPDR S&P 500 ETF Trust	SPY	1.00	0.88	0.88	0.78	-0.31	-0.29	0.26
iShares S&P Small-Cap 600 Value ETF	IJS	0.88	1.00	0.75	0.69	-0.34	-0.33	0.17
iShares MSCI EAFE ETF	EFA	0.88	0.75	1.00	0.88	-0.23	-0.20	0.36
iShares MSCI Emerging Markets ETF	EEM	0.78	0.69	0.88	1.00	-0.21	-0.16	0.33
iShares 20+ Year Treasury Bond ETF	TLT	-0.31	-0.34	-0.23	-0.21	1.00	0.91	0.55
iShares 7-10 Year Treasury Bond ETF	IEF	-0.29	-0.33	-0.20	-0.16	0.91	1.00	0.57
iShares iBoxx $ Invmt Grade Corp Bd ETF	LQD	0.26	0.17	0.36	0.33	0.55	0.57	1.00
Based on monthly returns from Jan 2004 to Dec 2019

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	15.24%	5.00%	5.00%	5.00%	19.76%	30.00%	20.00%	6.94%	6.35%	0.887
2	16.18%	5.00%	5.00%	5.00%	18.82%	30.00%	20.00%	6.97%	6.35%	0.890
3	17.13%	5.00%	5.00%	5.00%	17.87%	30.00%	20.00%	6.99%	6.36%	0.893
4	17.59%	5.00%	5.00%	5.00%	18.09%	30.00%	19.32%	7.02%	6.38%	0.894
5	17.97%	5.00%	5.00%	5.00%	18.48%	30.00%	18.55%	7.04%	6.39%	0.896
6	18.35%	5.00%	5.00%	5.00%	18.87%	30.00%	17.78%	7.06%	6.41%	0.898
7	18.73%	5.00%	5.00%	5.00%	19.27%	30.00%	17.01%	7.09%	6.42%	0.900
8	19.11%	5.00%	5.00%	5.00%	19.66%	30.00%	16.23%	7.11%	6.44%	0.901
9	19.49%	5.00%	5.00%	5.00%	20.05%	30.00%	15.46%	7.14%	6.45%	0.903
10	19.87%	5.00%	5.00%	5.00%	20.44%	30.00%	14.69%	7.16%	6.47%	0.905
11	20.25%	5.00%	5.00%	5.00%	20.83%	30.00%	13.92%	7.19%	6.48%	0.906
12	20.63%	5.00%	5.00%	5.00%	21.23%	30.00%	13.14%	7.21%	6.50%	0.908
13	21.01%	5.00%	5.00%	5.00%	21.62%	30.00%	12.37%	7.23%	6.51%	0.909
14	21.39%	5.00%	5.00%	5.00%	22.01%	30.00%	11.60%	7.26%	6.53%	0.910
15	21.77%	5.00%	5.00%	5.00%	22.40%	30.00%	10.83%	7.28%	6.55%	0.912
16	22.15%	5.00%	5.00%	5.00%	22.80%	30.00%	10.05%	7.31%	6.57%	0.913
17	22.53%	5.00%	5.00%	5.00%	23.19%	30.00%	9.28%	7.33%	6.58%	0.914
18	22.91%	5.00%	5.00%	5.00%	23.58%	30.00%	8.51%	7.35%	6.60%	0.915
19	23.29%	5.00%	5.00%	5.00%	23.97%	30.00%	7.73%	7.38%	6.62%	0.917
20	23.67%	5.00%	5.00%	5.00%	24.37%	30.00%	6.96%	7.40%	6.64%	0.918
21	24.05%	5.00%	5.00%	5.00%	24.76%	30.00%	6.19%	7.43%	6.66%	0.919
22	24.43%	5.00%	5.00%	5.00%	25.15%	30.00%	5.42%	7.45%	6.67%	0.920
23	25.08%	5.00%	5.00%	5.00%	24.92%	30.00%	5.00%	7.48%	6.69%	0.921
24	26.03%	5.00%	5.00%	5.00%	23.97%	30.00%	5.00%	7.50%	6.72%	0.921
25	26.32%	5.00%	5.00%	5.00%	24.30%	29.38%	5.00%	7.52%	6.75%	0.921
26	26.54%	5.00%	5.00%	5.00%	24.77%	28.68%	5.00%	7.55%	6.78%	0.920
27	26.76%	5.00%	5.00%	5.00%	25.25%	27.99%	5.00%	7.57%	6.81%	0.920
28	26.98%	5.00%	5.00%	5.00%	25.72%	27.29%	5.00%	7.60%	6.83%	0.920
29	27.21%	5.00%	5.00%	5.00%	26.20%	26.60%	5.00%	7.62%	6.86%	0.919
30	27.43%	5.00%	5.00%	5.00%	26.67%	25.90%	5.00%	7.65%	6.89%	0.919
31	27.65%	5.00%	5.00%	5.00%	27.15%	25.20%	5.00%	7.67%	6.92%	0.919
32	27.87%	5.00%	5.00%	5.00%	27.62%	24.51%	5.00%	7.69%	6.95%	0.918
33	28.09%	5.00%	5.00%	5.00%	28.10%	23.81%	5.00%	7.72%	6.98%	0.918
34	28.31%	5.00%	5.00%	5.00%	28.57%	23.12%	5.00%	7.74%	7.01%	0.918
35	28.53%	5.00%	5.00%	5.00%	29.05%	22.42%	5.00%	7.77%	7.04%	0.917
36	28.75%	5.00%	5.00%	5.00%	29.52%	21.73%	5.00%	7.79%	7.07%	0.917
37	28.97%	5.00%	5.00%	5.00%	30.00%	21.03%	5.00%	7.82%	7.10%	0.917
38	29.43%	5.00%	5.00%	5.00%	30.00%	20.57%	5.00%	7.84%	7.13%	0.916
39	29.90%	5.00%	5.00%	5.00%	30.00%	20.10%	5.00%	7.86%	7.16%	0.916
40	30.36%	5.00%	5.00%	5.00%	30.00%	19.64%	5.00%	7.89%	7.19%	0.915
41	30.82%	5.00%	5.00%	5.00%	30.00%	19.18%	5.00%	7.91%	7.22%	0.914
42	31.29%	5.00%	5.00%	5.00%	30.00%	18.71%	5.00%	7.94%	7.25%	0.914
43	31.75%	5.00%	5.00%	5.00%	30.00%	18.25%	5.00%	7.96%	7.28%	0.913
44	32.21%	5.00%	5.00%	5.00%	30.00%	17.79%	5.00%	7.99%	7.32%	0.912
45	32.68%	5.00%	5.00%	5.00%	30.00%	17.32%	5.00%	8.01%	7.35%	0.911
46	33.14%	5.00%	5.00%	5.00%	30.00%	16.86%	5.00%	8.04%	7.39%	0.910
47	33.60%	5.00%	5.00%	5.00%	30.00%	16.40%	5.00%	8.06%	7.42%	0.909
48	34.07%	5.00%	5.00%	5.00%	30.00%	15.93%	5.00%	8.08%	7.46%	0.908
49	34.53%	5.00%	5.00%	5.00%	30.00%	15.47%	5.00%	8.11%	7.50%	0.907
50	35.00%	5.00%	5.00%	5.00%	30.00%	15.00%	5.00%	8.13%	7.53%	0.905
51	35.46%	5.00%	5.00%	5.00%	30.00%	14.54%	5.00%	8.16%	7.57%	0.904
52	35.92%	5.00%	5.00%	5.00%	30.00%	14.08%	5.00%	8.18%	7.61%	0.903
53	36.39%	5.00%	5.00%	5.00%	30.00%	13.61%	5.00%	8.21%	7.65%	0.901
54	36.85%	5.00%	5.00%	5.00%	30.00%	13.15%	5.00%	8.23%	7.69%	0.900
55	37.31%	5.00%	5.00%	5.00%	30.00%	12.69%	5.00%	8.26%	7.73%	0.898
56	37.78%	5.00%	5.00%	5.00%	30.00%	12.22%	5.00%	8.28%	7.77%	0.897
57	38.24%	5.00%	5.00%	5.00%	30.00%	11.76%	5.00%	8.30%	7.81%	0.895
58	38.70%	5.00%	5.00%	5.00%	30.00%	11.30%	5.00%	8.33%	7.85%	0.894
59	39.17%	5.00%	5.00%	5.00%	30.00%	10.83%	5.00%	8.35%	7.89%	0.892
60	39.63%	5.00%	5.00%	5.00%	30.00%	10.37%	5.00%	8.38%	7.94%	0.890
61	40.00%	5.08%	5.00%	5.00%	30.00%	9.92%	5.00%	8.40%	7.98%	0.888
62	40.00%	5.47%	5.00%	5.00%	30.00%	9.53%	5.00%	8.43%	8.03%	0.887
63	40.00%	5.86%	5.00%	5.00%	30.00%	9.14%	5.00%	8.45%	8.07%	0.885
64	40.00%	6.26%	5.00%	5.00%	30.00%	8.74%	5.00%	8.48%	8.12%	0.883
65	40.00%	6.65%	5.00%	5.00%	30.00%	8.35%	5.00%	8.50%	8.16%	0.881
66	40.00%	7.04%	5.00%	5.00%	30.00%	7.96%	5.00%	8.52%	8.21%	0.878
67	40.00%	7.43%	5.00%	5.00%	30.00%	7.57%	5.00%	8.55%	8.26%	0.876
68	40.00%	7.82%	5.00%	5.00%	30.00%	7.18%	5.00%	8.57%	8.31%	0.874
69	40.00%	8.22%	5.00%	5.00%	30.00%	6.78%	5.00%	8.60%	8.35%	0.872
70	40.00%	8.61%	5.00%	5.00%	30.00%	6.39%	5.00%	8.62%	8.40%	0.870
71	40.00%	9.00%	5.00%	5.00%	30.00%	6.00%	5.00%	8.65%	8.45%	0.868
72	40.00%	9.39%	5.00%	5.00%	30.00%	5.61%	5.00%	8.67%	8.50%	0.865
73	40.00%	9.78%	5.00%	5.00%	30.00%	5.22%	5.00%	8.70%	8.56%	0.863
74	38.86%	11.14%	5.00%	5.00%	30.00%	5.00%	5.00%	8.72%	8.61%	0.860
75	36.32%	13.68%	5.00%	5.00%	30.00%	5.00%	5.00%	8.74%	8.69%	0.856
76	33.78%	16.22%	5.00%	5.00%	30.00%	5.00%	5.00%	8.77%	8.76%	0.851
77	31.24%	18.76%	5.00%	5.00%	30.00%	5.00%	5.00%	8.79%	8.84%	0.846
78	30.49%	20.00%	5.00%	5.00%	29.51%	5.00%	5.00%	8.82%	8.93%	0.840
79	31.44%	20.00%	5.00%	5.00%	28.56%	5.00%	5.00%	8.84%	9.03%	0.834
80	32.38%	20.00%	5.00%	5.00%	27.62%	5.00%	5.00%	8.87%	9.13%	0.828
81	33.33%	20.00%	5.00%	5.00%	26.67%	5.00%	5.00%	8.89%	9.23%	0.822
82	34.28%	20.00%	5.00%	5.00%	25.72%	5.00%	5.00%	8.92%	9.33%	0.815
83	35.23%	20.00%	5.00%	5.00%	24.77%	5.00%	5.00%	8.94%	9.44%	0.808
84	36.18%	20.00%	5.00%	5.00%	23.82%	5.00%	5.00%	8.97%	9.55%	0.802
85	37.13%	20.00%	5.00%	5.00%	22.87%	5.00%	5.00%	8.99%	9.66%	0.795
86	38.08%	20.00%	5.00%	5.00%	21.92%	5.00%	5.00%	9.01%	9.78%	0.788
87	39.03%	20.00%	5.00%	5.00%	20.97%	5.00%	5.00%	9.04%	9.90%	0.781
88	39.98%	20.00%	5.00%	5.00%	20.02%	5.00%	5.00%	9.06%	10.02%	0.774
89	40.00%	20.00%	5.00%	5.82%	19.18%	5.00%	5.00%	9.09%	10.17%	0.765
90	40.00%	20.00%	5.00%	6.65%	18.35%	5.00%	5.00%	9.11%	10.32%	0.756
91	40.00%	20.00%	5.00%	7.49%	17.51%	5.00%	5.00%	9.14%	10.48%	0.747
92	40.00%	20.00%	5.00%	8.32%	16.68%	5.00%	5.00%	9.16%	10.64%	0.738
93	40.00%	20.00%	5.00%	9.16%	15.84%	5.00%	5.00%	9.19%	10.80%	0.729
94	40.00%	20.00%	5.00%	9.99%	15.01%	5.00%	5.00%	9.21%	10.96%	0.720
95	40.00%	20.00%	5.00%	10.83%	14.17%	5.00%	5.00%	9.24%	11.13%	0.712
96	40.00%	20.00%	5.00%	11.66%	13.34%	5.00%	5.00%	9.26%	11.30%	0.703
97	40.00%	20.00%	5.00%	12.50%	12.50%	5.00%	5.00%	9.29%	11.47%	0.695
98	40.00%	20.00%	5.00%	13.33%	11.67%	5.00%	5.00%	9.31%	11.64%	0.687
99	40.00%	20.00%	5.00%	14.16%	10.84%	5.00%	5.00%	9.33%	11.82%	0.679
100	40.00%	20.00%	5.00%	15.00%	10.00%	5.00%	5.00%	9.36%	11.99%	0.671
^*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 (1.31% annualized).

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%	6.89%	$11,733	4.83%	6.00%	13.32%	32.62%	8.61%	2.64%	1.16%
2006	2.54%	8.96%	$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%	-5.87%	$13,133	-36.81%	-29.39%	-41.04%	-48.88%	33.93%	17.91%	2.40%
2009	2.72%	4.46%	$13,718	26.36%	22.36%	26.95%	68.93%	-21.80%	-6.59%	8.46%
2010	1.50%	12.89%	$15,487	15.06%	24.69%	8.15%	16.51%	9.05%	9.37%	9.33%
2011	2.96%	12.27%	$17,387	1.89%	-1.65%	-12.25%	-18.82%	33.96%	15.64%	9.73%
2012	1.74%	9.58%	$19,053	15.99%	18.24%	18.82%	19.10%	2.63%	3.66%	10.58%
2013	1.50%	4.70%	$19,949	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%	6.41%	$23,842	12.00%	31.25%	1.37%	10.87%	1.18%	1.00%	6.21%
2017	2.11%	12.38%	$26,793	21.70%	11.35%	25.10%	37.28%	9.18%	2.55%	7.06%
2018	1.91%	-3.25%	$25,923	-4.56%	-12.84%	-13.81%	-15.31%	-1.61%	0.99%	-3.79%
2019	2.29%	18.36%	$30,683	31.22%	24.12%	22.03%	18.20%	14.12%	8.03%	17.37%

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%	$9,960	-1.89%	-3.93%	-3.39%	-9.80%	-6.23%	-4.35%	-3.89%
2004	5	0.39%	$9,999	1.71%	1.58%	1.14%	1.17%	-0.26%	-0.53%	-0.52%
2004	6	1.42%	$10,141	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	2.31%	$10,306	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	1.19%	$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%	$11,010	-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%	$11,010	-1.87%	-5.12%	-1.62%	-1.25%	3.86%	2.52%	1.62%
2005	5	2.60%	$11,296	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	0.32%	$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%	$11,862	1.65%	4.86%	4.01%	2.17%	-4.57%	-1.36%	-1.68%
2006	4	0.04%	$11,867	1.26%	0.18%	4.79%	6.52%	-2.75%	-0.63%	-0.20%
2006	5	-1.85%	$11,648	-3.01%	-4.55%	-3.82%	-11.14%	-0.19%	-0.10%	-0.19%
2006	6	0.42%	$11,698	0.26%	0.04%	-0.06%	0.21%	1.18%	0.23%	-0.09%
2006	7	1.21%	$11,840	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%	$12,820	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%	$12,813	1.50%	2.14%	1.39%	0.11%	-1.00%	-0.40%	0.09%
2007	2	0.80%	$12,916	-1.96%	-0.92%	-0.12%	-3.24%	3.39%	2.06%	2.00%
2007	3	0.28%	$12,951	1.16%	0.91%	2.90%	5.33%	-1.70%	-0.14%	-0.68%
2007	4	2.06%	$13,218	4.43%	1.84%	3.75%	3.73%	0.90%	0.61%	0.89%
2007	5	0.45%	$13,278	3.39%	4.63%	2.36%	5.06%	-2.31%	-1.39%	-1.23%
2007	6	-0.75%	$13,179	-1.46%	-2.24%	-0.32%	3.68%	-1.01%	-0.47%	-0.81%
2007	7	0.22%	$13,208	-3.13%	-6.26%	-2.29%	0.71%	3.32%	2.26%	-0.82%
2007	8	1.65%	$13,426	1.28%	1.33%	-0.63%	1.04%	1.79%	2.26%	2.38%
2007	9	1.99%	$13,692	3.87%	0.31%	5.32%	11.57%	0.23%	0.09%	0.73%
2007	10	2.02%	$13,969	1.36%	1.06%	4.25%	11.87%	1.81%	1.08%	0.97%
2007	11	0.62%	$14,055	-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	-0.57%	$13,738	-2.58%	-3.36%	-1.02%	1.99%	-0.46%	1.24%	-0.71%
2008	3	0.52%	$13,810	-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%	$13,860	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%	$13,616	1.55%	4.76%	-4.25%	-6.32%	2.74%	1.53%	0.15%
2008	9	-4.23%	$13,040	-9.44%	-4.82%	-11.44%	-14.68%	1.47%	-0.14%	-10.73%
2008	10	-8.42%	$11,943	-16.52%	-19.86%	-20.83%	-25.58%	-1.86%	-0.87%	-1.95%
2008	11	2.72%	$12,268	-6.96%	-11.80%	-6.37%	-9.75%	14.34%	7.75%	3.35%
2008	12	7.05%	$13,133	0.98%	6.57%	8.88%	10.35%	13.64%	5.15%	13.80%
2009	1	-8.38%	$12,033	-8.21%	-13.94%	-13.73%	-9.29%	-13.07%	-3.89%	-1.80%
2009	2	-5.13%	$11,416	-10.74%	-13.03%	-10.39%	-6.27%	-1.54%	-0.74%	-5.20%
2009	3	5.80%	$12,078	8.35%	7.58%	8.39%	16.86%	4.04%	3.31%	0.47%
2009	4	2.53%	$12,384	9.93%	18.89%	11.52%	15.56%	-6.95%	-2.75%	2.78%
2009	5	1.62%	$12,584	5.85%	0.67%	13.19%	15.94%	-3.69%	-2.08%	2.32%
2009	6	0.04%	$12,589	-0.07%	1.52%	-1.43%	-2.25%	0.76%	-0.55%	2.89%
2009	7	4.16%	$13,113	7.46%	11.00%	10.04%	11.01%	0.58%	0.83%	4.63%
2009	8	2.13%	$13,392	3.69%	3.48%	4.50%	-1.31%	2.24%	0.77%	1.31%
2009	9	2.85%	$13,773	3.55%	4.21%	3.80%	10.20%	2.46%	1.12%	1.76%
2009	10	-1.80%	$13,525	-1.92%	-6.07%	-2.52%	-3.44%	-2.62%	-0.14%	-0.49%
2009	11	3.33%	$13,976	6.16%	2.90%	3.92%	7.85%	1.21%	2.02%	1.95%
2009	12	-1.85%	$13,718	1.91%	8.10%	0.70%	3.27%	-6.34%	-4.40%	-2.07%
2010	1	-0.29%	$13,678	-3.63%	-2.54%	-5.07%	-7.76%	2.69%	2.37%	1.25%
2010	2	1.20%	$13,841	3.12%	4.76%	0.27%	1.78%	-0.34%	0.33%	0.51%
2010	3	1.92%	$14,107	6.09%	7.80%	6.39%	8.11%	-2.06%	-1.06%	0.65%
2010	4	1.97%	$14,386	1.55%	6.63%	-2.80%	-0.17%	3.32%	1.65%	1.91%
2010	5	-1.48%	$14,172	-7.95%	-8.54%	-11.19%	-9.39%	5.11%	2.93%	-1.31%
2010	6	0.53%	$14,248	-5.17%	-8.27%	-2.07%	-1.40%	5.80%	3.05%	3.28%
2010	7	3.39%	$14,731	6.83%	6.71%	11.61%	10.93%	-0.95%	0.91%	2.11%
2010	8	1.24%	$14,914	-4.50%	-7.91%	-3.80%	-3.24%	8.40%	3.36%	2.86%
2010	9	3.38%	$15,419	8.96%	10.93%	9.97%	11.76%	-2.51%	-0.00%	0.46%
2010	10	0.45%	$15,489	3.82%	4.04%	3.81%	3.02%	-4.47%	-0.01%	-0.26%
2010	11	-1.02%	$15,331	0.00%	2.47%	-4.82%	-2.91%	-1.69%	-0.90%	-1.62%
2010	12	1.02%	$15,487	6.68%	8.97%	8.30%	7.27%	-3.68%	-3.43%	-0.75%
2011	1	-0.24%	$15,450	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%	$16,135	2.90%	1.06%	5.63%	2.73%	2.34%	1.84%	2.50%
2011	5	1.00%	$16,296	-1.12%	-1.77%	-2.21%	-2.94%	3.42%	2.51%	1.27%
2011	6	-1.38%	$16,072	-1.69%	-1.59%	-1.19%	-0.93%	-2.33%	-0.51%	-0.80%
2011	7	1.30%	$16,281	-2.00%	-2.77%	-2.38%	-1.03%	4.42%	3.17%	2.43%
2011	8	1.00%	$16,444	-5.50%	-7.98%	-8.75%	-9.25%	9.66%	4.65%	0.34%
2011	9	0.08%	$16,457	-6.94%	-10.57%	-10.81%	-17.89%	13.20%	2.24%	0.35%
2011	10	3.72%	$17,070	10.91%	15.34%	9.63%	16.27%	-3.84%	-1.29%	2.51%
2011	11	0.21%	$17,106	-0.41%	0.63%	-2.18%	-1.96%	1.98%	0.58%	-3.16%
2011	12	1.64%	$17,387	1.04%	2.02%	-2.21%	-4.30%	3.44%	1.99%	3.49%
2012	1	2.70%	$17,856	4.64%	7.90%	5.27%	10.99%	-0.33%	0.86%	2.14%
2012	2	0.85%	$18,008	4.34%	1.71%	4.83%	5.27%	-2.59%	-1.10%	1.63%
2012	3	-0.72%	$17,879	3.22%	2.89%	0.42%	-3.11%	-4.23%	-1.59%	-1.42%
2012	4	1.51%	$18,149	-0.67%	-1.91%	-2.08%	-1.70%	4.83%	2.51%	1.08%
2012	5	0.05%	$18,158	-6.01%	-7.18%	-11.14%	-10.71%	9.03%	2.87%	0.76%
2012	6	1.41%	$18,413	4.05%	4.54%	7.11%	5.08%	-1.68%	-0.42%	0.87%
2012	7	1.79%	$18,742	1.18%	-0.69%	0.08%	-0.03%	3.82%	1.40%	3.48%
2012	8	0.68%	$18,870	2.51%	4.08%	3.20%	0.41%	-1.32%	-0.12%	-0.05%
2012	9	0.56%	$18,975	2.54%	3.14%	2.71%	5.22%	-2.53%	-0.35%	1.10%
2012	10	-0.71%	$18,841	-1.82%	-1.96%	1.09%	-0.44%	-0.48%	-0.40%	1.35%
2012	11	1.05%	$19,039	0.57%	1.65%	2.78%	1.56%	1.38%	0.98%	-0.42%
2012	12	0.07%	$19,053	0.90%	3.55%	4.37%	6.80%	-2.49%	-0.94%	-0.33%
2013	1	0.56%	$19,159	5.12%	5.35%	3.73%	-0.29%	-3.19%	-1.29%	-1.30%
2013	2	0.93%	$19,336	1.28%	1.63%	-1.29%	-2.28%	1.24%	1.13%	1.08%
2013	3	1.19%	$19,566	3.80%	4.11%	1.31%	-1.02%	-0.42%	0.29%	-0.05%
2013	4	2.51%	$20,057	1.92%	0.12%	5.02%	1.22%	4.68%	1.52%	2.17%
2013	5	-2.28%	$19,600	2.36%	4.29%	-3.02%	-4.83%	-6.76%	-3.11%	-3.22%
2013	6	-2.47%	$19,116	-1.34%	-0.14%	-2.70%	-5.35%	-3.27%	-2.55%	-3.27%
2013	7	1.41%	$19,386	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%	$19,508	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%	$19,949	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%	$20,535	4.55%	4.63%	6.13%	3.38%	0.52%	0.36%	1.14%
2014	3	0.46%	$20,629	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%	$21,289	2.32%	0.62%	1.60%	2.95%	2.95%	1.82%	1.51%
2014	6	0.77%	$21,453	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%	$22,009	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	2.79%	$23,150	-2.96%	-5.32%	0.62%	-0.69%	9.82%	4.30%	3.75%
2015	2	0.01%	$23,152	5.62%	5.86%	6.34%	4.41%	-6.14%	-2.47%	-1.42%
2015	3	0.03%	$23,158	-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%	$22,938	1.29%	0.75%	0.20%	-4.10%	-2.37%	-0.42%	-1.12%
2015	6	-2.37%	$22,395	-2.03%	0.42%	-3.12%	-2.93%	-4.07%	-1.63%	-1.88%
2015	7	1.83%	$22,804	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%	$22,761	8.51%	6.57%	6.61%	6.38%	-0.41%	-0.64%	0.57%
2015	11	-0.29%	$22,695	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%	$22,457	-4.98%	-5.85%	-5.52%	-5.03%	5.57%	3.33%	0.12%
2016	2	1.11%	$22,707	-0.08%	2.08%	-3.33%	-0.82%	3.09%	1.49%	1.05%
2016	3	3.34%	$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	2.98%	$24,312	0.35%	0.83%	-2.42%	4.56%	6.93%	3.09%	3.09%
2016	7	2.31%	$24,874	3.65%	5.06%	3.98%	5.38%	2.10%	0.25%	1.29%
2016	8	-0.38%	$24,780	0.12%	1.13%	0.53%	0.88%	-1.01%	-1.01%	0.18%
2016	9	-0.07%	$24,763	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	-2.08%	$23,675	3.68%	13.34%	-1.78%	-4.42%	-8.21%	-4.23%	-3.17%
2016	12	0.71%	$23,842	2.03%	3.20%	2.71%	-0.25%	-0.46%	-0.12%	0.84%
2017	1	1.17%	$24,121	1.79%	-1.21%	3.29%	6.66%	0.81%	0.22%	0.15%
2017	2	1.90%	$24,580	3.93%	1.35%	1.19%	1.74%	1.59%	0.72%	1.32%
2017	3	0.20%	$24,629	0.13%	-0.65%	3.23%	3.69%	-0.65%	0.08%	-0.29%
2017	4	1.26%	$24,939	0.99%	0.51%	2.42%	1.70%	1.57%	1.11%	1.19%
2017	5	1.34%	$25,273	1.41%	-2.26%	3.54%	2.85%	1.89%	0.83%	1.33%
2017	6	0.44%	$25,384	0.64%	2.96%	0.31%	0.93%	0.79%	-0.51%	0.48%
2017	7	0.99%	$25,635	2.06%	0.75%	2.65%	5.82%	-0.66%	0.38%	0.77%
2017	8	1.34%	$25,979	0.29%	-2.72%	-0.04%	2.35%	3.41%	1.46%	0.68%
2017	9	0.08%	$26,000	2.01%	8.58%	2.36%	-0.04%	-2.32%	-1.44%	-0.05%
2017	10	0.83%	$26,217	2.36%	0.59%	1.68%	3.28%	-0.04%	-0.19%	0.19%
2017	11	1.09%	$26,501	3.06%	3.76%	0.69%	-0.39%	0.74%	-0.28%	-0.12%
2017	12	1.10%	$26,793	1.21%	-0.37%	1.35%	3.77%	1.81%	0.18%	1.22%
2018	1	0.71%	$26,984	5.64%	1.33%	5.02%	8.30%	-3.26%	-2.15%	-1.23%
2018	2	-2.80%	$26,227	-3.64%	-4.04%	-4.83%	-5.90%	-3.04%	-0.93%	-2.24%
2018	3	0.40%	$26,332	-2.74%	1.37%	-0.84%	0.54%	2.86%	1.16%	0.56%
2018	4	-0.80%	$26,121	0.52%	1.76%	1.52%	-2.82%	-2.09%	-1.28%	-1.57%
2018	5	1.50%	$26,513	2.43%	5.87%	-1.89%	-2.62%	2.01%	0.99%	0.52%
2018	6	0.07%	$26,533	0.58%	0.80%	-1.57%	-4.54%	0.65%	0.20%	-0.49%
2018	7	0.98%	$26,793	3.70%	2.62%	2.85%	3.53%	-1.44%	-0.53%	1.34%
2018	8	1.31%	$27,143	3.19%	3.14%	-2.24%	-3.77%	1.31%	1.01%	0.02%
2018	9	-1.03%	$26,863	0.59%	-3.05%	0.97%	-0.58%	-2.86%	-1.20%	-0.14%
2018	10	-4.04%	$25,779	-6.91%	-9.94%	-8.13%	-8.76%	-2.93%	-0.30%	-2.05%
2018	11	1.59%	$26,189	1.85%	0.57%	0.50%	4.90%	1.79%	1.33%	-0.36%
2018	12	-1.01%	$25,923	-8.79%	-12.38%	-5.35%	-3.50%	5.85%	2.80%	1.86%
2019	1	4.00%	$26,960	8.01%	12.26%	6.63%	10.34%	0.38%	0.65%	3.37%
2019	2	0.60%	$27,123	3.24%	4.13%	2.54%	-1.53%	-1.38%	-0.52%	-0.20%
2019	3	2.66%	$27,843	1.81%	-3.91%	0.92%	1.13%	5.57%	2.66%	2.93%
2019	4	0.93%	$28,103	4.09%	4.32%	2.93%	2.35%	-1.99%	-0.52%	0.44%
2019	5	-0.14%	$28,064	-6.38%	-9.98%	-5.03%	-7.33%	6.84%	3.05%	1.65%
2019	6	3.55%	$29,061	6.96%	7.66%	5.91%	6.20%	0.95%	1.22%	3.25%
2019	7	0.31%	$29,153	1.51%	1.30%	-1.95%	-2.66%	0.26%	0.04%	0.25%
2019	8	3.05%	$30,042	-1.67%	-5.14%	-1.92%	-3.78%	11.04%	3.95%	3.88%
2019	9	-0.01%	$30,039	1.95%	5.57%	3.16%	1.69%	-2.68%	-1.19%	-0.76%
2019	10	0.87%	$30,299	2.21%	2.00%	3.39%	4.18%	-1.11%	0.19%	0.44%
2019	11	0.85%	$30,557	3.62%	2.71%	1.13%	-0.09%	-0.41%	-0.69%	0.47%
2019	12	0.41%	$30,683	2.90%	2.84%	2.98%	7.71%	-3.20%	-0.93%	0.53%

Portfolio return and risk metrics
Metric	Maximum Sharpe Ratio
Arithmetic Mean (monthly)	0.60%
Arithmetic Mean (annualized)	7.50%
Geometric Mean (monthly)	0.59%
Geometric Mean (annualized)	7.26%
Volatility (monthly)	1.94%
Volatility (annualized)	6.72%
Downside Deviation (monthly)	1.27%
Max. Drawdown	-18.78%
US Market Correlation	0.67
Beta^(*)	0.32
Alpha (annualized)	4.09%
R²	44.45%
Sharpe Ratio	0.88
Sortino Ratio	1.32
Treynor Ratio (%)	18.53
Calmar Ratio	1.74
Active Return	-1.97%
Tracking Error	10.71%
Information Ratio	-0.18
Skewness	-1.11
Excess Kurtosis	4.80
Historical Value-at-Risk (5%)	-2.51%
Analytical Value-at-Risk (5%)	-2.58%
Conditional Value-at-Risk (5%)	-4.75%
Upside Capture Ratio (%)	40.50
Downside Capture Ratio (%)	22.56
Safe Withdrawal Rate	8.95%
Perpetual Withdrawal Rate	4.81%
Positive Periods	140 out of 192 (72.92%)
Gain/Loss Ratio	0.87
^* 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	-18.78%

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	-18.78%
2	May 2013	Aug 2013	4 months	Jan 2014	5 months	9 months	-5.25%
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	-4.82%
5	Apr 2015	Sep 2015	6 months	Mar 2016	6 months	1 year	-4.52%
6	Apr 2004	Apr 2004	1 month	Sep 2004	5 months	6 months	-4.34%
7	Feb 2018	Apr 2018	3 months	Aug 2018	4 months	7 months	-3.20%
8	Sep 2005	Oct 2005	2 months	Dec 2005	2 months	4 months	-2.89%
9	Mar 2006	May 2006	3 months	Aug 2006	3 months	6 months	-2.40%
10	Sep 2014	Sep 2014	1 month	Oct 2014	1 month	2 months	-2.14%
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	9.02%	13.47%	32.31%	-36.81%	-50.80%	0.61	0.89	1.00
IJS	iShares S&P Small-Cap 600 Value ETF	9.13%	18.43%	39.34%	-29.39%	-54.13%	0.50	0.74	0.91
EFA	iShares MSCI EAFE ETF	5.53%	16.45%	26.95%	-41.04%	-57.38%	0.33	0.47	0.88
EEM	iShares MSCI Emerging Markets ETF	7.79%	21.77%	68.93%	-48.88%	-60.44%	0.40	0.60	0.79
TLT	iShares 20+ Year Treasury Bond ETF	6.57%	12.92%	33.96%	-21.80%	-21.80%	0.46	0.78	-0.31
IEF	iShares 7-10 Year Treasury Bond ETF	4.59%	6.12%	17.91%	-6.59%	-7.60%	0.55	0.93	-0.30
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	5.32%	6.98%	17.37%	-3.79%	-15.11%	0.59	0.96	0.26

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	-	0.88	0.88	0.78	-0.31	-0.29	0.26	0.67
IJS	iShares S&P Small-Cap 600 Value ETF	0.88	-	0.75	0.69	-0.34	-0.33	0.17	0.56
EFA	iShares MSCI EAFE ETF	0.88	0.75	-	0.88	-0.23	-0.20	0.36	0.69
EEM	iShares MSCI Emerging Markets ETF	0.78	0.69	0.88	-	-0.21	-0.16	0.33	0.65
TLT	iShares 20+ Year Treasury Bond ETF	-0.31	-0.34	-0.23	-0.21	-	0.91	0.55	0.47
IEF	iShares 7-10 Year Treasury Bond ETF	-0.29	-0.33	-0.20	-0.16	0.91	-	0.57	0.48
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	0.26	0.17	0.36	0.33	0.55	0.57	-	0.72

Portfolio Risk Decomposition

Portfolio risk decomposition
Ticker	Name	Maximum Sharpe Ratio
SPY	SPDR S&P 500 ETF Trust	34.95%
IJS	iShares S&P Small-Cap 600 Value ETF	7.74%
EFA	iShares MSCI EAFE ETF	8.39%
EEM	iShares MSCI Emerging Markets ETF	10.49%
TLT	iShares 20+ Year Treasury Bond ETF	21.70%
IEF	iShares 7-10 Year Treasury Bond ETF	13.00%
LQD	iShares iBoxx $ Invmt Grade Corp Bd ETF	3.73%

Annual Asset Returns

Rolling returns summary
Roll Period	Average	High	Low
1 year	7.44%	18.36%	-5.87%
3 years	6.94%	11.57%	2.38%
5 years	6.73%	10.42%	4.56%
7 years	7.13%	8.22%	5.87%
10 years	7.13%	8.38%	6.43%
15 years	6.82%	7.09%	6.56%
Result statistics are based on annualized rolling returns over full calendar year periods