Backtest Portfolio Asset Allocation

This portfolio backtesting tool allows you to construct one or more portfolios based on the selected mutual funds, ETFs, and stocks. You can analyze and backtest portfolio returns, risk characteristics, style exposures, and drawdowns. The results cover both returns and fund fundamentals based portfolio style analysis along with risk and return decomposition by each portfolio asset. You can compare up to three different portfolios against the selected benchmark, and you can also specify any periodic contribution or withdrawal cashflows and the preferred portfolio rebalancing strategy.

The related asset class level portfolio modeling tool allows you to analyze and compare asset class level portfolios with a longer time horizon starting from 1972.

Time Period

Start Year

First Month

End Year

Last Month

Calendar Aligned

Include YTD

Start Date

End Date

Initial Amount

$ .00

Cashflows

Contribution Amount

$ .00

Inflation Adjusted

Withdrawal Percentage

Frequency

Rebalancing

Absolute Deviation

Relative Deviation

Leverage Type

Leverage Ratio

Debt Amount

$ .00

Debt Interest

Maintenance Margin

Leveraged Benchmark

Reinvest Dividends

Display Income

Factor Regression

Equity Factor Model

Benchmark

Benchmark Ticker

Portfolio Names

Portfolio Name #1

Portfolio Name #2

Portfolio Name #3

Portfolio Assets

Portfolio #1

Portfolio #2

Portfolio #3

Asset 1

Select asset 1

Enter percentage allocation for asset 1 in portfolio 1 %

Enter percentage allocation for asset 1 in portfolio 2 %

Enter percentage allocation for asset 1 in portfolio 3 %

Asset 2

Select asset 2

Enter percentage allocation for asset 2 in portfolio 1 %

Enter percentage allocation for asset 2 in portfolio 2 %

Enter percentage allocation for asset 2 in portfolio 3 %

Asset 3

Select asset 3

Enter percentage allocation for asset 3 in portfolio 1 %

Enter percentage allocation for asset 3 in portfolio 2 %

Enter percentage allocation for asset 3 in portfolio 3 %

Asset 4

Select asset 4

Enter percentage allocation for asset 4 in portfolio 1 %

Enter percentage allocation for asset 4 in portfolio 2 %

Enter percentage allocation for asset 4 in portfolio 3 %

Asset 5

Select asset 5

Enter percentage allocation for asset 5 in portfolio 1 %

Enter percentage allocation for asset 5 in portfolio 2 %

Enter percentage allocation for asset 5 in portfolio 3 %

Asset 6

Select asset 6

Enter percentage allocation for asset 6 in portfolio 1 %

Enter percentage allocation for asset 6 in portfolio 2 %

Enter percentage allocation for asset 6 in portfolio 3 %

Asset 7

Select asset 7

Enter percentage allocation for asset 7 in portfolio 1 %

Enter percentage allocation for asset 7 in portfolio 2 %

Enter percentage allocation for asset 7 in portfolio 3 %

Asset 8

Select asset 8

Enter percentage allocation for asset 8 in portfolio 1 %

Enter percentage allocation for asset 8 in portfolio 2 %

Enter percentage allocation for asset 8 in portfolio 3 %

Asset 9

Select asset 9

Enter percentage allocation for asset 9 in portfolio 1 %

Enter percentage allocation for asset 9 in portfolio 2 %

Enter percentage allocation for asset 9 in portfolio 3 %

Asset 10

Select asset 10

Enter percentage allocation for asset 10 in portfolio 1 %

Enter percentage allocation for asset 10 in portfolio 2 %

Enter percentage allocation for asset 10 in portfolio 3 %

Total

Total allocation for portfolio 1 %

Total allocation for portfolio 2 %

Total allocation for portfolio 3 %

Portfolio Analysis Results (Jan 2008 - Dec 2016)

Note: The time period was constrained by the available data for iShares National Muni Bond ETF (MUB) [Oct 2007 - Apr 2022].

Portfolio Allocations

Portfolio 1
Ticker	Name	Allocation
VTI	Vanguard Total Stock Market ETF	18.00%
VTV	Vanguard Value ETF	18.00%
VOE	Vanguard Mid-Cap Value ETF	5.00%
VBR	Vanguard Small-Cap Value ETF	5.00%
VEA	Vanguard FTSE Developed Markets ETF	41.00%
VWO	Vanguard FTSE Emerging Markets ETF	13.00%
Save portfolio »

Portfolio 2
Ticker	Name	Allocation
VTI	Vanguard Total Stock Market ETF	35.00%
VEA	Vanguard FTSE Developed Markets ETF	22.00%
VWO	Vanguard FTSE Emerging Markets ETF	28.00%
VIG	Vanguard Dividend Appreciation ETF	5.00%
XLE	Energy Select Sector SPDR ETF	5.00%
MUB	iShares National Muni Bond ETF	5.00%
Save portfolio »

Portfolio 3
Ticker	Name	Allocation
VTSAX	Vanguard Total Stock Mkt Idx Adm	100.00%
Save portfolio »

Portfolio Returns

Portfolio performance statistics
Portfolio	Initial Balance	Final Balance	CAGR	TWRR	MWRR	Stdev	Best Year	Worst Year	Max. Drawdown	Sharpe Ratio	Sortino Ratio	Market Correlation
Portfolio 1	$1,000,000	$945,516	-0.62%	3.52%	2.86%	18.28%	33.42%	-40.05%	-52.24% (-54.15%)	0.27	0.38	0.97
Portfolio 2	$1,000,000	$931,415	-0.79%	3.35%	2.81%	17.57%	39.94%	-39.81%	-49.34% (-51.36%)	0.26	0.37	0.95
Portfolio 3	$1,000,000	$1,318,153	3.12%	7.41%	6.65%	16.36%	33.52%	-36.99%	-48.23% (-50.30%)	0.50	0.72	1.00
^* The number in parentheses shows the calculated value taking into account the percentage based periodic withdrawals.

Trailing Returns

Trailing Returns
Name	Total Return			Annualized Return			Annualized Standard Deviation
Name	3 Month	Year To Date	1 year	3 year	5 year	Full	3 year	5 year
Portfolio 1	1.68%	10.09%	10.09%	3.48%	10.06%	3.52%	11.22%	11.47%
Portfolio 2	0.15%	10.49%	10.49%	2.68%	8.19%	3.35%	11.26%	11.28%
Portfolio 3	4.12%	12.66%	12.66%	8.38%	14.62%	7.41%	11.02%	10.64%
Trailing return and volatility are as of last full calendar month ending December 2016

Notes on results:

IMPORTANT: The projections or other information generated by Portfolio Visualizer regarding the likelihood of various investment outcomes are hypothetical in nature, do not reflect actual investment results and are not guarantees of future results. Results may vary with each use and over time.
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. All use is subject to terms of service.
Investing involves risk, including possible loss of principal. Past performance is not a guarantee of future results.
Asset allocation and diversification strategies do not guarantee a profit or protect against a loss.
Hypothetical returns do not reflect trading costs, transaction fees, commissions, or actual taxes due on investment returns.
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.
Refer to the related documentation sections for more details on terms and definitions, methodology, and data sources.
Portfolio model information represents a blended portfolio consisting of the model's underlying positions and assigned weights provided by the user and rebalanced at the specified schedule. The results were constructed using net of fee mutual fund performance. Portfolio Visualizer does not provide preferential treatment to any specific security or investment.
The results are based on the total return of assets and assume that all received dividends and distributions are reinvested.
Market capitalization refers to the total value of all a company's shares of stock. It is calculated by multiplying the price of a stock by its total number of outstanding shares. Large cap refers to a company with a market capitalization value of more than $10 billion, mid cap refers to a company with a market capitalization value between $2 and $10 billion, and small cap refers to a company with a market capitalization value below $2 billion. For funds and portfolios the equity market capitalization is calculated based on the long position of the equity holdings.
Credit quality measures the ability of a bond issuer to repay a bond's interest and principal in a timely manner. Ratings agencies research the financial health of each bond issuer and assign ratings to the bonds being offered. Lower-rated bonds generally offer higher yields to compensate investors for the additional risk. AAA is the highest possible rating that may be assigned to an issuer's bonds by any of the major credit rating agencies. Bonds rated AAA to AA are known as high-grade bonds, bonds rated A to BBB are known as medium-grade bonds, and bonds rated BB to C are known as non-investment grade bonds. An issuer will receive a rating of D if it is already in default on some of its debt. For funds and portfolios the fixed income credit quality break-down is calculated based on the long position of the fixed income holdings.
A fixed income maturity date refers to the specific date on which the investor's principal will be repaid. Duration measures a bond's or fixed income portfolio's price sensitivity to interest rate changes. If a bond has a duration of 5 years, and interest rates increase by 1%, the bond's price will decline by approximately 5%. Conversely, if a bond has a duration of 5 years and interest rates fall by 1%, the bond's price will increase by approximately 5%. A fixed income portfolio's duration is computed as the weighted average of individual bond durations held in the portfolio.
Compound annualized growth rate (CAGR) is the annualized geometric mean return of the portfolio. It is calculated from the portfolio start and end balance and is thus impacted by any cashflows.
The time-weighted rate of return (TWRR) is a measure of the compound rate of growth in a portfolio. This is calculated from the holding period returns (e.g. monthly returns), and TWRR will thus not be impacted by cashflows. If there are no external cashflows, TWRR will equal CAGR.
The money-weighted rate of return (MWRR) is the internal rate of return (IRR) taking into account cashflows. This is the discount rate at which the present value of cash inflows equals the present value of cash outflows.
Total return is the combined return in income and capital appreciation from investment in an asset. Yield measures the current cash income received from investment in an asset. Bonds provide yield in the form of interest payments and stocks through dividends.
Standard deviation (Stdev) is used to measure the dispersion of returns around the mean and is often used as a measure of risk. A higher standard deviation implies greater the dispersion of data points around the mean.
Sharpe Ratio is a measure of risk-adjusted performance of the portfolio, and it is calculated by dividing the mean monthly excess return of the portfolio over the risk-free rate by the standard deviation of excess return, and the displayed value is annualized.
Sortino Ratio is a measure of risk-adjusted return which is a modification of the Sharpe Ratio. While the latter is the ratio of average returns in excess of a risk-free rate divided by the standard deviation of those excess returns, the Sortino Ratio has the same denominator divided by the standard deviation of returns below the risk-free rate.
Treynor Ratio is a measure of risk-adjusted performance of the portfolio. It is similar to the Sharpe Ratio, but it uses portfolio beta (systematic risk) as the risk metric in the denominator.
Calmar Ratio is a measure of risk-adjusted performance of the portfolio. It is calculated as the annualized return over the past 36 months divided by the maximum drawdown over the past 36 months based on monthly returns.
Risk-free returns are calculated based on the Federal Reserve 3-Month Treasury Bill (secondary market) rates.
Downside deviation measures the downside volatility of the portfolio returns unlike standard deviation, which includes both upside and downside deviations. Downside deviation is calculated based on negative returns that hurt the portfolio performance.
Correlation measures to what degree the returns of the two assets move in relation to each other. Correlation coefficient is a numerical value between -1 and +1. If one variable goes up by a certain amount, the correlation coefficient indicates which way the other variable moves and by how much. Asset correlations are calculated based on monthly returns.
Skewness is a measure of the asymmetry of the probability distribution or returns from a normal Gaussian distribution shape about its mean. Negative skewness is associated with the left (typically negative returns) tail of the distribution extending further than the right tail; and positive skewness is associated with the right (typically positive returns) tail of the distribution extending further than the left tail.
Excess kurtosis is a measure of whether a data distribution is peaked or flat relative to a normal distribution. Distributions with high kurtosis tend to have a distinct peak near the mean, decline rather rapidly, and have heavy or fat tails.
A drawdown refers to the decline in value of a single investment or an investment portfolio from a relative peak value to a relative trough. A maximum drawdown (Max Drawdown) is the maximum observed loss from a peak to a trough of a portfolio before a new peak is attained. Drawdown values are calculated based on monthly returns.
Value at Risk (VaR) measures the scale of loss at a given confidence level. If the 5% VaR is -3% the portfolio return is expected to be greater than -3% 95% of the time and less than -3% 5% of the time. Value at Risk can be calculated directly based on historical returns based on a given percentile or analytically based on the mean and standard deviation of the returns.
Conditional Value at Risk (CVaR) measures the scale of the expected loss once the specific Value at Risk (VaR) breakpoint has been breached, i.e., it calculates the average tail loss by taking a weighted average between the value at risk and losses exceeding the value at risk.
Beta is a measure of systematic risk and measures the volatility of a particular investment relative to the market or its benchmark. Alpha measures the active return of the investment compared to the market benchmark return. R-squared is the percentage of a portfolio's movements that can be explained by movements in the selected benchmark index.
Active return is the investment return minus the return of its benchmark. For periods longer than 12 months this is displayed as annualized value, i.e., annualized investment return minus annualized benchmark return.
Tracking error, also known as active risk, is the standard deviation of active return. This is displayed as annualized value based on the standard deviation of monthly active returns.
Information ratio is the active return divided by the tracking error. It measures whether the investment outperformed its benchmark consistently.
Gain/Loss ratio is a measure of downside risk, and it is calculated as the average positive return in up periods divided by the average negative return in down periods.
Upside Capture Ratio measures how well the fund performed relative to the benchmark when the market was up, and Downside Capture Ratio measures how well the fund performed relative to the benchmark when the market was down. An upside capture ratio greater than 100 would indicate that the fund outperformed its benchmark when the market was up, and a downside capture ratio below 100 would indicate that the fund lost less than its benchmark when the market was down. To calculate upside capture ratio a new series from the portfolio returns is constructed by dropping all time periods where the benchmark return is less than equal to zero. The up capture is then the quotient of the annualized return of the resulting manager series, divided by the annualized return of the resulting benchmark series. The downside capture ratio is calculated analogously.
All risk measures for the portfolio and portfolio assets are calculated based on monthly returns.
Gross expense ratio reflects the total annual operating expenses paid by each fund. Net expense ratio reflects what investors were charged after waivers, reductions, and reimbursements.
Price to earnings (P/E) ratio of a stock is calculated by dividing the current price of the stock by its trailing 12 months' earnings per share. For funds the price to earnings ratio is computed as the weighted average of fund holdings.
Drawdown analysis is calculated based on monthly returns excluding cashflows.
The results assume annual rebalancing of portfolio assets to match the specified allocation.
Annual withdrawal of 4.00% of portfolio balance is reflected in the CAGR and maximum drawdown shown above.

Annual returns for the configured portfolios
Year	Inflation	Portfolio 1			Portfolio 2			Portfolio 3			Vanguard Total Stock Market ETF (VTI)	Vanguard Value ETF (VTV)	Vanguard Mid-Cap Value ETF (VOE)	Vanguard Small-Cap Value ETF (VBR)	Vanguard FTSE Developed Markets ETF (VEA)	Vanguard FTSE Emerging Markets ETF (VWO)	Vanguard Dividend Appreciation ETF (VIG)	Energy Select Sector SPDR ETF (XLE)	iShares National Muni Bond ETF (MUB)	Vanguard Total Stock Mkt Idx Adm (VTSAX)
Year	Inflation	Return	Balance	Cashflow	Return	Balance	Cashflow	Return	Balance	Cashflow	Vanguard Total Stock Market ETF (VTI)	Vanguard Value ETF (VTV)	Vanguard Mid-Cap Value ETF (VOE)	Vanguard Small-Cap Value ETF (VBR)	Vanguard FTSE Developed Markets ETF (VEA)	Vanguard FTSE Emerging Markets ETF (VWO)	Vanguard Dividend Appreciation ETF (VIG)	Energy Select Sector SPDR ETF (XLE)	iShares National Muni Bond ETF (MUB)	Vanguard Total Stock Mkt Idx Adm (VTSAX)
2008	0.09%	-40.05%	$575,560	-$23,982	-39.81%	$577,856	-$24,077	-36.99%	$604,913	-$25,205	-36.98%	-35.87%	-36.65%	-32.20%	-40.65%	-52.49%	-26.69%	-38.97%	1.16%	-36.99%
2009	2.72%	33.42%	$737,198	-$30,717	39.94%	$776,308	-$32,346	28.83%	$748,109	-$31,171	28.89%	19.86%	38.23%	30.92%	27.49%	76.28%	19.57%	21.79%	7.07%	28.83%
2010	1.50%	14.05%	$807,140	-$33,631	15.22%	$858,665	-$35,778	17.26%	$842,113	-$35,088	17.42%	14.54%	21.76%	25.10%	8.35%	19.47%	14.74%	21.78%	0.10%	17.26%
2011	2.96%	-7.34%	$717,970	-$29,915	-6.52%	$770,557	-$32,107	1.08%	$817,178	-$34,049	0.97%	1.11%	-0.40%	-4.23%	-12.30%	-18.76%	6.16%	2.84%	12.98%	1.08%
2012	1.74%	17.55%	$810,209	-$33,759	16.32%	$860,452	-$35,852	16.38%	$913,019	-$38,042	16.45%	15.19%	16.02%	18.98%	18.56%	19.20%	11.65%	5.20%	5.19%	16.38%
2013	1.50%	24.01%	$964,516	-$40,188	17.72%	$972,395	-$40,516	33.52%	$1,170,337	-$48,764	33.45%	33.10%	37.76%	36.55%	21.83%	-4.92%	28.87%	26.25%	-3.44%	33.52%
2014	0.76%	3.39%	$957,363	-$39,890	3.59%	$967,042	-$40,293	12.56%	$1,264,612	-$52,692	12.54%	13.17%	13.96%	10.55%	-5.98%	-0.07%	10.08%	-8.70%	9.35%	12.56%
2015	0.73%	-2.66%	$894,665	-$37,278	-5.41%	$878,137	-$36,589	0.39%	$1,218,733	-$50,781	0.36%	-0.98%	-1.89%	-4.76%	-0.38%	-15.81%	-1.95%	-21.47%	2.91%	0.39%
2016	2.07%	10.09%	$945,516	-$39,397	10.49%	$931,415	-$38,809	12.66%	$1,318,153	-$54,923	12.83%	17.12%	15.40%	24.90%	2.67%	12.21%	11.97%	28.02%	-0.17%	12.66%

Monthly returns for the configured portfolios
Year	Month	Portfolio 1		Portfolio 2		Portfolio 3		Vanguard Total Stock Market ETF (VTI)	Vanguard Value ETF (VTV)	Vanguard Mid-Cap Value ETF (VOE)	Vanguard Small-Cap Value ETF (VBR)	Vanguard FTSE Developed Markets ETF (VEA)	Vanguard FTSE Emerging Markets ETF (VWO)	Vanguard Dividend Appreciation ETF (VIG)	Energy Select Sector SPDR ETF (XLE)	iShares National Muni Bond ETF (MUB)	Vanguard Total Stock Mkt Idx Adm (VTSAX)
Year	Month	Return	Balance	Return	Balance	Return	Balance	Vanguard Total Stock Market ETF (VTI)	Vanguard Value ETF (VTV)	Vanguard Mid-Cap Value ETF (VOE)	Vanguard Small-Cap Value ETF (VBR)	Vanguard FTSE Developed Markets ETF (VEA)	Vanguard FTSE Emerging Markets ETF (VWO)	Vanguard Dividend Appreciation ETF (VIG)	Energy Select Sector SPDR ETF (XLE)	iShares National Muni Bond ETF (MUB)	Vanguard Total Stock Mkt Idx Adm (VTSAX)
2008	1	-6.54%	$934,585	-7.17%	$928,258	-6.08%	$939,197	-6.17%	-4.73%	-3.69%	-3.88%	-7.39%	-9.02%	-5.27%	-12.29%	0.26%	-6.08%
2008	2	-1.55%	$920,129	-0.21%	$926,325	-3.04%	$910,633	-2.50%	-3.91%	-3.81%	-2.62%	-1.01%	2.88%	-1.55%	9.27%	-4.64%	-3.04%
2008	3	-0.63%	$914,309	-1.12%	$915,905	-0.59%	$905,240	-0.90%	-0.45%	-0.82%	-0.39%	0.38%	-3.68%	2.03%	-2.34%	3.13%	-0.59%
2008	4	5.44%	$964,073	5.95%	$970,427	5.02%	$950,701	4.89%	4.28%	5.27%	4.68%	5.38%	8.43%	2.57%	10.38%	1.55%	5.02%
2008	5	1.38%	$977,403	1.78%	$987,740	2.12%	$970,874	2.02%	-0.57%	3.68%	4.14%	1.21%	1.79%	0.33%	5.20%	0.59%	2.12%
2008	6	-9.07%	$888,710	-7.76%	$911,102	-8.20%	$891,270	-8.12%	-9.53%	-9.82%	-11.36%	-8.68%	-9.81%	-7.86%	3.16%	-1.73%	-8.20%
2008	7	-2.07%	$870,301	-3.16%	$882,282	-0.77%	$884,419	-0.62%	-0.18%	-1.54%	4.06%	-3.47%	-4.72%	1.06%	-15.91%	0.56%	-0.77%
2008	8	-1.73%	$855,234	-2.29%	$862,059	1.61%	$898,693	1.46%	1.63%	3.19%	3.60%	-4.01%	-7.92%	2.08%	0.34%	1.45%	1.61%
2008	9	-10.27%	$767,380	-11.20%	$765,550	-9.28%	$815,323	-9.24%	-6.85%	-9.16%	-5.32%	-11.59%	-15.59%	-6.72%	-14.95%	-3.38%	-9.28%
2008	10	-20.08%	$613,327	-19.33%	$617,544	-17.63%	$671,594	-17.48%	-16.23%	-22.16%	-21.96%	-20.56%	-27.26%	-14.11%	-18.80%	-0.97%	-17.63%
2008	11	-7.34%	$568,312	-6.64%	$576,533	-7.86%	$618,808	-8.01%	-6.65%	-7.71%	-9.56%	-6.62%	-8.65%	-2.55%	-2.18%	-0.54%	-7.86%
2008	12	5.50%	$575,560	4.41%	$577,856	1.83%	$604,913	1.78%	1.51%	5.66%	4.46%	8.97%	7.59%	0.88%	-4.50%	5.28%	1.83%
2009	1	-11.43%	$509,786	-8.86%	$526,630	-8.26%	$554,966	-8.05%	-11.10%	-9.14%	-12.39%	-14.02%	-8.91%	-7.62%	-1.78%	-0.01%	-8.26%
2009	2	-10.06%	$458,521	-7.64%	$486,377	-10.45%	$496,972	-10.53%	-13.56%	-12.07%	-14.01%	-10.08%	-2.38%	-10.52%	-12.34%	0.51%	-10.45%
2009	3	8.95%	$499,547	8.75%	$528,957	8.73%	$540,371	8.26%	8.20%	8.37%	8.83%	8.42%	12.40%	7.03%	3.79%	0.29%	8.73%
2009	4	12.97%	$564,346	12.32%	$594,127	10.60%	$597,650	10.99%	11.02%	16.54%	19.56%	11.82%	17.44%	7.29%	7.82%	2.32%	10.60%
2009	5	10.50%	$623,628	11.01%	$659,558	5.33%	$629,502	5.46%	7.10%	4.18%	3.83%	13.06%	17.89%	4.95%	12.89%	0.07%	5.33%
2009	6	-1.30%	$615,527	-1.44%	$650,030	0.37%	$631,803	0.36%	-1.08%	-0.87%	-0.09%	-1.82%	-2.45%	0.49%	-6.54%	-1.45%	0.37%
2009	7	9.71%	$675,311	8.95%	$708,206	7.87%	$681,504	7.74%	7.96%	10.78%	10.65%	10.57%	10.91%	6.56%	5.35%	1.79%	7.87%
2009	8	3.80%	$700,976	2.11%	$723,174	3.63%	$706,215	3.71%	5.22%	6.63%	6.18%	4.50%	-0.71%	2.41%	1.09%	1.89%	3.63%
2009	9	4.99%	$735,927	6.03%	$766,767	4.25%	$736,248	4.14%	3.23%	5.94%	5.41%	3.94%	9.96%	3.15%	5.84%	3.30%	4.25%
2009	10	-2.93%	$714,332	-2.27%	$749,361	-2.61%	$717,066	-2.63%	-2.65%	-4.81%	-6.09%	-2.77%	-2.41%	-0.43%	2.47%	-2.61%	-2.61%
2009	11	5.26%	$751,928	5.54%	$790,890	5.66%	$757,686	5.69%	6.06%	5.69%	3.55%	4.11%	7.18%	5.79%	2.84%	0.52%	5.66%
2009	12	2.13%	$737,198	2.25%	$776,308	2.85%	$748,109	2.86%	1.22%	5.37%	6.92%	0.79%	3.10%	0.73%	0.88%	0.38%	2.85%
2010	1	-4.45%	$704,384	-4.65%	$740,243	-3.46%	$722,218	-3.57%	-2.45%	-2.28%	-2.99%	-5.44%	-6.73%	-2.30%	-4.40%	0.38%	-3.46%
2010	2	2.14%	$719,484	2.21%	$756,637	3.36%	$746,474	3.44%	2.62%	4.75%	5.01%	0.74%	1.88%	2.42%	3.01%	0.84%	3.36%
2010	3	6.66%	$767,428	6.26%	$803,976	6.26%	$793,216	6.40%	6.15%	7.01%	8.20%	6.30%	8.19%	4.62%	2.82%	-0.06%	6.26%
2010	4	0.13%	$768,437	0.50%	$807,958	2.21%	$810,728	2.18%	1.78%	3.93%	6.23%	-2.77%	-0.21%	2.17%	4.16%	1.14%	2.21%
2010	5	-9.42%	$696,065	-8.72%	$737,522	-8.00%	$745,880	-7.88%	-7.77%	-7.45%	-7.95%	-11.53%	-9.18%	-7.24%	-11.45%	0.83%	-8.00%
2010	6	-3.66%	$670,562	-3.20%	$713,923	-5.67%	$703,570	-5.83%	-5.16%	-6.27%	-8.16%	-1.81%	-0.55%	-4.34%	-5.93%	-0.34%	-5.67%
2010	7	9.17%	$732,038	8.59%	$775,243	7.03%	$753,059	7.02%	6.63%	6.73%	7.46%	11.66%	10.21%	6.38%	8.37%	1.41%	7.03%
2010	8	-4.02%	$702,612	-3.44%	$748,553	-4.75%	$717,317	-4.71%	-4.24%	-5.13%	-6.66%	-3.58%	-2.56%	-3.44%	-4.90%	2.16%	-4.75%
2010	9	9.49%	$769,317	9.51%	$819,724	9.50%	$785,438	9.45%	7.56%	9.22%	10.43%	9.66%	11.42%	8.31%	10.00%	-0.04%	9.50%
2010	10	3.63%	$797,208	3.53%	$848,699	3.94%	$816,392	4.03%	2.73%	3.45%	3.60%	4.06%	3.10%	2.83%	5.67%	-0.81%	3.94%
2010	11	-2.22%	$779,506	-1.53%	$835,746	0.58%	$821,090	0.51%	-0.62%	0.36%	2.28%	-4.90%	-2.84%	0.30%	5.86%	-2.79%	0.58%
2010	12	7.86%	$807,140	7.02%	$858,665	6.83%	$842,113	6.96%	7.97%	7.38%	7.69%	8.44%	7.56%	5.34%	9.32%	-2.51%	6.83%
2011	1	1.47%	$818,980	0.65%	$864,225	2.19%	$860,519	2.05%	2.85%	2.38%	0.60%	2.16%	-3.45%	1.43%	7.18%	-0.18%	2.19%
2011	2	3.31%	$846,112	2.76%	$888,079	3.63%	$891,728	3.70%	4.03%	3.72%	4.70%	3.66%	-0.17%	3.41%	7.37%	2.30%	3.63%
2011	3	-0.17%	$844,647	1.11%	$897,967	0.45%	$895,708	0.42%	-0.03%	1.29%	1.47%	-2.50%	5.47%	1.06%	1.88%	-1.20%	0.45%
2011	4	4.27%	$880,742	3.65%	$930,780	2.99%	$922,494	2.90%	2.96%	2.91%	2.34%	6.19%	3.37%	3.49%	0.92%	2.77%	2.99%
2011	5	-2.06%	$862,640	-1.96%	$912,573	-1.16%	$911,779	-1.06%	-1.37%	-0.55%	-2.12%	-2.70%	-2.94%	-1.27%	-4.19%	2.33%	-1.16%
2011	6	-1.60%	$848,870	-1.32%	$900,483	-1.79%	$895,495	-1.79%	-2.12%	-3.02%	-2.08%	-1.22%	-1.00%	-0.77%	-1.92%	-0.13%	-1.79%
2011	7	-2.47%	$827,902	-1.57%	$886,340	-2.22%	$875,589	-2.27%	-3.50%	-3.89%	-3.32%	-2.39%	-0.62%	-3.46%	1.46%	0.55%	-2.22%
2011	8	-7.59%	$765,079	-7.04%	$823,923	-6.02%	$822,866	-6.09%	-5.90%	-6.56%	-8.19%	-8.58%	-9.09%	-3.20%	-10.22%	3.39%	-6.02%
2011	9	-10.54%	$684,466	-11.14%	$732,167	-7.75%	$759,086	-7.57%	-6.85%	-8.70%	-10.64%	-11.33%	-18.44%	-6.26%	-14.42%	-0.04%	-7.75%
2011	10	11.23%	$761,316	11.66%	$817,532	11.54%	$846,704	11.37%	10.27%	12.37%	14.43%	9.76%	15.91%	9.60%	19.14%	-0.53%	11.54%
2011	11	-1.21%	$752,107	-0.78%	$811,120	-0.29%	$844,270	-0.37%	-0.56%	0.15%	-0.14%	-2.09%	-1.71%	1.87%	1.66%	0.64%	-0.29%
2011	12	-0.56%	$717,970	-1.04%	$770,557	0.82%	$817,178	0.98%	2.53%	1.10%	0.82%	-2.12%	-4.17%	1.00%	-2.05%	2.50%	0.82%
2012	1	5.85%	$759,976	6.45%	$820,244	5.08%	$858,690	5.07%	3.47%	5.23%	6.97%	5.62%	10.78%	2.60%	2.26%	3.53%	5.08%
2012	2	4.48%	$794,050	4.47%	$856,929	4.26%	$895,241	4.22%	3.89%	3.62%	2.55%	4.88%	5.43%	2.76%	5.93%	-1.07%	4.26%
2012	3	1.04%	$802,289	0.24%	$858,967	3.07%	$922,710	3.06%	2.84%	2.00%	2.41%	0.33%	-2.60%	2.09%	-3.81%	-0.82%	3.07%
2012	4	-1.62%	$789,331	-1.36%	$847,321	-0.63%	$916,941	-0.64%	-0.92%	-0.77%	-0.99%	-2.38%	-2.09%	-0.34%	-0.71%	0.87%	-0.63%
2012	5	-8.79%	$719,985	-8.33%	$776,728	-6.23%	$859,780	-6.23%	-5.91%	-6.75%	-6.31%	-11.17%	-10.67%	-4.37%	-10.68%	1.20%	-6.23%
2012	6	5.45%	$759,255	4.63%	$812,700	3.94%	$893,649	4.05%	4.79%	3.37%	4.47%	6.98%	5.02%	2.18%	4.80%	-0.71%	3.94%
2012	7	0.52%	$763,236	0.85%	$819,632	1.03%	$902,873	0.88%	1.18%	0.78%	-0.43%	0.25%	0.20%	1.96%	4.94%	2.07%	1.03%
2012	8	2.40%	$781,558	1.97%	$835,778	2.51%	$925,537	2.70%	1.48%	2.51%	2.99%	3.29%	0.25%	1.90%	2.70%	-0.15%	2.51%
2012	9	2.97%	$804,766	3.19%	$862,464	2.58%	$949,376	2.49%	2.90%	2.03%	2.80%	2.64%	5.31%	1.87%	3.12%	0.57%	2.58%
2012	10	-0.10%	$804,000	-0.72%	$856,279	-1.76%	$932,692	-1.81%	-0.39%	-0.14%	-0.70%	1.06%	-0.55%	-1.26%	-2.03%	0.47%	-1.76%
2012	11	1.38%	$815,108	1.33%	$867,645	0.74%	$939,577	0.77%	-0.74%	1.23%	1.01%	2.71%	1.28%	1.44%	-1.22%	1.85%	0.74%
2012	12	3.54%	$810,209	3.30%	$860,452	1.22%	$913,019	1.29%	2.12%	2.36%	3.34%	4.24%	7.06%	0.47%	1.02%	-2.58%	1.22%
2013	1	4.39%	$845,742	3.51%	$890,655	5.50%	$963,216	5.42%	6.36%	7.26%	6.46%	3.83%	0.07%	5.93%	8.30%	0.81%	5.50%
2013	2	-0.13%	$844,640	-0.33%	$887,749	1.28%	$975,509	1.28%	1.31%	1.47%	1.62%	-1.15%	-2.36%	1.16%	0.44%	0.53%	1.28%
2013	3	2.30%	$864,082	1.60%	$901,943	3.91%	$1,013,660	3.95%	4.04%	5.00%	4.56%	1.19%	-1.27%	3.38%	2.54%	-1.31%	3.91%
2013	4	3.13%	$891,154	2.35%	$923,147	1.70%	$1,030,897	1.61%	2.21%	1.70%	0.09%	5.22%	2.00%	1.67%	-1.31%	1.75%	1.70%
2013	5	-0.61%	$885,744	-1.01%	$913,836	2.35%	$1,055,081	2.44%	2.58%	1.87%	3.11%	-2.97%	-5.07%	1.15%	2.85%	-3.05%	2.35%
2013	6	-2.30%	$865,341	-2.79%	$888,329	-1.24%	$1,041,963	-1.43%	-1.02%	-1.35%	-1.27%	-2.77%	-5.33%	-1.51%	-2.27%	-2.69%	-1.24%
2013	7	4.97%	$908,324	4.07%	$924,444	5.46%	$1,098,831	5.75%	5.38%	5.64%	6.85%	5.20%	0.70%	5.41%	5.26%	-0.80%	5.46%
2013	8	-2.69%	$883,895	-2.67%	$899,766	-2.80%	$1,068,071	-3.03%	-3.68%	-2.92%	-4.17%	-1.60%	-3.43%	-3.57%	-1.03%	-1.72%	-2.80%
2013	9	5.60%	$933,360	5.42%	$948,526	3.67%	$1,107,265	3.90%	2.29%	3.99%	5.30%	7.85%	7.27%	3.97%	2.12%	2.80%	3.67%
2013	10	3.90%	$969,729	3.90%	$985,496	4.25%	$1,154,277	4.27%	4.59%	4.53%	3.92%	3.21%	4.34%	4.17%	4.20%	1.21%	4.25%
2013	11	1.61%	$985,298	1.08%	$996,183	2.88%	$1,187,524	2.70%	3.18%	2.90%	2.93%	0.66%	-0.93%	2.32%	0.06%	-0.47%	2.88%
2013	12	1.97%	$964,516	1.68%	$972,395	2.66%	$1,170,337	2.73%	2.09%	2.83%	2.74%	1.90%	-0.28%	1.96%	2.87%	-0.41%	2.66%
2014	1	-4.73%	$918,852	-5.03%	$923,498	-3.11%	$1,133,991	-3.17%	-3.69%	-2.58%	-2.78%	-5.21%	-8.43%	-5.01%	-5.80%	2.56%	-3.11%
2014	2	4.97%	$964,545	4.47%	$964,800	4.75%	$1,187,883	4.87%	3.97%	5.39%	4.97%	5.95%	3.24%	4.90%	5.12%	1.05%	4.75%
2014	3	1.12%	$975,350	1.48%	$979,110	0.52%	$1,194,086	0.51%	2.69%	1.15%	1.31%	-0.37%	4.62%	0.79%	2.11%	0.08%	0.52%
2014	4	0.88%	$983,964	0.99%	$988,788	0.06%	$1,194,841	0.06%	0.86%	0.41%	-1.13%	1.57%	0.89%	1.01%	5.25%	1.24%	0.06%
2014	5	1.92%	$1,002,824	2.20%	$1,010,590	2.17%	$1,220,772	2.10%	1.38%	1.71%	1.64%	1.77%	3.10%	1.61%	1.67%	1.12%	2.17%
2014	6	2.01%	$1,023,026	2.38%	$1,034,659	2.57%	$1,252,119	2.62%	1.92%	2.78%	4.32%	1.04%	3.17%	1.49%	5.51%	-0.16%	2.57%
2014	7	-1.74%	$1,005,242	-1.16%	$1,022,671	-1.98%	$1,227,345	-1.99%	-1.20%	-2.60%	-4.79%	-2.37%	1.37%	-3.31%	-3.47%	0.45%	-1.98%
2014	8	2.45%	$1,029,895	2.96%	$1,052,938	4.18%	$1,278,663	4.15%	3.44%	3.86%	5.12%	0.26%	3.84%	3.65%	2.18%	1.26%	4.18%
2014	9	-3.69%	$991,861	-4.14%	$1,009,396	-2.11%	$1,251,730	-2.10%	-1.28%	-3.47%	-5.54%	-4.16%	-7.18%	-1.00%	-7.75%	-0.08%	-2.11%
2014	10	1.43%	$1,006,091	1.52%	$1,024,787	2.74%	$1,286,013	2.75%	1.80%	3.56%	4.85%	-0.35%	2.23%	2.65%	-3.53%	0.55%	2.74%
2014	11	0.99%	$1,016,087	0.35%	$1,028,371	2.43%	$1,317,249	2.48%	2.47%	2.72%	1.10%	0.00%	-1.10%	3.22%	-8.69%	0.12%	2.43%
2014	12	-1.85%	$957,363	-2.05%	$967,042	0.00%	$1,264,612	-0.04%	0.35%	0.65%	1.79%	-3.77%	-4.69%	0.11%	-0.23%	0.81%	0.00%
2015	1	-1.25%	$945,426	-1.17%	$955,691	-2.77%	$1,229,565	-2.74%	-4.10%	-2.37%	-3.30%	0.71%	-0.20%	-3.38%	-4.56%	1.60%	-2.77%
2015	2	5.67%	$999,076	5.11%	$1,004,555	5.76%	$1,300,393	5.74%	5.31%	5.35%	5.66%	6.16%	4.66%	5.59%	4.59%	-1.12%	5.76%
2015	3	-1.15%	$987,573	-1.41%	$990,387	-1.01%	$1,287,272	-1.16%	-1.32%	-0.05%	1.30%	-1.22%	-2.05%	-2.27%	-1.16%	0.22%	-1.01%
2015	4	2.83%	$1,015,527	3.44%	$1,024,418	0.42%	$1,292,689	0.62%	1.28%	-0.29%	-1.30%	3.87%	7.41%	-0.21%	6.57%	-0.71%	0.42%
2015	5	0.05%	$1,016,057	-0.84%	$1,015,810	1.39%	$1,310,664	1.30%	1.18%	1.20%	1.37%	-0.05%	-3.55%	0.96%	-5.19%	-0.49%	1.39%
2015	6	-2.43%	$991,329	-2.27%	$992,774	-1.70%	$1,288,350	-1.67%	-2.24%	-2.34%	-1.51%	-2.91%	-2.54%	-2.54%	-3.48%	-0.34%	-1.70%
2015	7	0.28%	$994,125	-1.04%	$982,422	1.65%	$1,309,617	1.70%	1.02%	0.94%	-0.95%	1.46%	-6.26%	2.16%	-7.69%	1.12%	1.65%
2015	8	-6.85%	$926,040	-6.98%	$913,861	-6.00%	$1,230,980	-6.09%	-5.84%	-4.41%	-4.84%	-7.23%	-9.86%	-5.87%	-4.25%	-0.11%	-6.00%
2015	9	-3.40%	$894,555	-3.12%	$885,360	-2.94%	$1,194,741	-2.92%	-2.54%	-3.40%	-3.58%	-4.08%	-2.88%	-1.84%	-7.18%	0.86%	-2.94%
2015	10	6.91%	$956,404	6.62%	$944,006	7.86%	$1,288,690	7.91%	7.65%	6.31%	6.63%	6.73%	5.29%	6.74%	11.16%	0.36%	7.86%
2015	11	-0.28%	$953,697	-0.51%	$939,231	0.56%	$1,295,898	0.60%	0.54%	0.62%	1.32%	-0.76%	-2.30%	0.27%	-0.01%	0.50%	0.56%
2015	12	-2.28%	$894,665	-2.61%	$878,137	-2.04%	$1,218,733	-2.13%	-1.15%	-2.87%	-4.90%	-2.14%	-3.44%	-0.87%	-10.50%	1.02%	-2.04%
2016	1	-5.56%	$844,899	-5.08%	$833,529	-5.65%	$1,149,866	-5.72%	-4.76%	-6.86%	-6.37%	-5.53%	-5.75%	-2.29%	-3.50%	0.77%	-5.65%
2016	2	-1.15%	$835,195	-0.85%	$826,427	-0.04%	$1,149,386	-0.01%	0.10%	1.36%	1.50%	-3.08%	-0.32%	1.13%	-2.80%	0.02%	-0.04%
2016	3	7.93%	$901,422	8.45%	$896,256	7.03%	$1,230,230	7.11%	6.70%	7.76%	8.94%	7.20%	12.72%	6.28%	10.16%	0.44%	7.03%
2016	4	1.61%	$915,974	1.49%	$909,575	0.65%	$1,238,185	0.66%	1.52%	0.99%	2.10%	2.31%	1.01%	-0.33%	9.06%	0.67%	0.65%
2016	5	0.09%	$916,781	-0.39%	$906,002	1.77%	$1,260,124	1.73%	1.06%	1.44%	1.40%	-0.30%	-3.24%	0.95%	-0.93%	0.28%	1.77%
2016	6	0.11%	$917,787	1.39%	$918,618	0.25%	$1,263,263	0.27%	1.13%	0.32%	0.15%	-2.04%	4.93%	2.37%	2.71%	1.61%	0.25%
2016	7	4.04%	$954,837	3.78%	$953,318	3.95%	$1,313,144	3.98%	2.81%	4.19%	4.64%	4.16%	5.14%	2.29%	-1.26%	-0.04%	3.95%
2016	8	0.52%	$959,758	0.48%	$957,901	0.28%	$1,316,776	0.21%	0.68%	0.93%	0.73%	0.41%	0.78%	0.01%	1.68%	0.13%	0.28%
2016	9	0.92%	$968,622	1.14%	$968,796	0.15%	$1,318,802	0.21%	-0.46%	0.43%	0.30%	1.65%	2.05%	-0.97%	3.69%	-0.56%	0.15%
2016	10	-1.77%	$951,450	-1.45%	$954,736	-2.21%	$1,289,603	-2.19%	-1.09%	-2.42%	-2.92%	-2.41%	0.32%	-1.93%	-2.82%	-0.96%	-2.21%
2016	11	1.55%	$966,210	0.40%	$958,522	4.45%	$1,347,027	4.49%	6.00%	5.94%	10.21%	-1.51%	-4.05%	2.98%	8.47%	-4.10%	4.45%
2016	12	1.94%	$945,516	1.22%	$931,415	1.93%	$1,318,153	1.98%	2.73%	1.10%	2.86%	2.45%	-0.74%	1.17%	1.73%	1.72%	1.93%
^* End-of-month balance includes the annual contribution/withdrawal

Returns Based Style Analysis

Returns Based Style Analysis
Style Category	Portfolio 1	Portfolio 2	Portfolio 3
Large-cap Value	25.24%	12.08%	38.23%
Large-cap Growth	9.09%	20.74%	42.33%
Mid-cap Value	6.23%	8.25%	5.63%
Mid-cap Growth	0.63%	1.19%	7.90%
Small-cap Value	2.47%	0.00%	2.04%
Small-cap Growth	1.14%	0.00%	2.86%
Global ex-US Developed Markets	41.45%	22.62%	0.72%
Emerging Markets	13.41%	29.72%	0.28%
Corporate Bonds	0.20%	0.26%	0.00%
Long-Term Treasuries	0.15%	0.00%	0.00%
Intermediate-Term Treasuries	0.00%	0.00%	0.00%
Short-Term Treasuries	0.00%	5.14%	0.00%
R Squared	99.94%	99.85%	99.90%
Style analysis is based on monthly returns from January 2008 to December 2016 and uses total portfolio return with monthly rebalancing. Returns based style analysis aims to explain the portfolio returns based on asset class exposures, it does not identify the actual portfolio holdings.

Holdings Based Style Analysis for Portfolio 1

Holdings Based Style Analysis for Portfolio 1
Ticker	Name	Category	Weight	Yield		Expense Ratio		P/E	Contribution
Ticker	Name	Category	Weight	SEC	TTM	Net	Gross	P/E	Return	Risk
VTI	Vanguard Total Stock Market ETF	Large Blend	18.00%	1.37%	1.43%	0.03%	0.03%	19.44	$100,998	15.53%
VTV	Vanguard Value ETF	Large Value	18.00%	2.32%	2.30%	0.04%	0.04%	15.75	$93,526	15.18%
VOE	Vanguard Mid-Cap Value ETF	Mid-Cap Value	5.00%	2.03%	1.97%	0.07%	0.07%	15.52	$34,302	4.81%
VBR	Vanguard Small-Cap Value ETF	Small Value	5.00%	1.74%	1.89%	0.07%	0.07%	11.85	$35,914	5.15%
VEA	Vanguard FTSE Developed Markets ETF	Foreign Large Blend	41.00%		3.27%	0.05%	0.05%	13.50	-$5,475	43.67%
VWO	Vanguard FTSE Emerging Markets ETF	Diversified Emerging Mkts	13.00%		3.13%	0.08%	0.08%	12.11	-$4,993	15.68%
			100.00%	0.85%	2.61%	0.05%	0.05%	14.81	$254,272	100.00%

Asset Allocation

Equity Market Capitalization

Equity Sectors

Holdings Based Style Analysis for Portfolio 2

Holdings Based Style Analysis for Portfolio 2
Ticker	Name	Category	Weight	Yield		Expense Ratio		P/E	Duration	Contribution
Ticker	Name	Category	Weight	SEC	TTM	Net	Gross	P/E	Duration	Return	Risk
VTI	Vanguard Total Stock Market ETF	Large Blend	35.00%	1.37%	1.43%	0.03%	0.03%	19.44		$207,704	30.75%
VEA	Vanguard FTSE Developed Markets ETF	Foreign Large Blend	22.00%		3.27%	0.05%	0.05%	13.50		$876	23.94%
VWO	Vanguard FTSE Emerging Markets ETF	Diversified Emerging Mkts	28.00%		3.13%	0.08%	0.08%	12.11		-$9,698	36.39%
VIG	Vanguard Dividend Appreciation ETF	Large Blend	5.00%	1.75%	1.85%	0.06%	0.06%	20.84		$26,799	3.53%
XLE	Energy Select Sector SPDR ETF	Equity Energy	5.00%	2.89%	3.35%	0.10%	0.10%	17.28		$7,472	5.13%
MUB	iShares National Muni Bond ETF	Muni National Interm	5.00%	2.58%	1.92%	0.07%	0.07%		5.37	$14,630	0.27%
			100.00%	0.84%	2.45%	0.06%	0.06%	15.86	5.37	$247,783	100.00%

Asset Allocation

Equity Market Capitalization

Equity Sectors

Fixed Income Credit Quality

Fixed Income Maturity

Holdings Based Style Analysis for Portfolio 3

Holdings Based Style Analysis for Portfolio 3
Ticker	Name	Category	Weight	Yield		Expense Ratio		P/E	Contribution
Ticker	Name	Category	Weight	SEC	TTM	Net	Gross	P/E	Return	Risk
VTSAX	Vanguard Total Stock Mkt Idx Adm	Large Blend	100.00%	1.36%	1.42%	0.04%	0.04%	19.44	$688,869	100.00%

Asset Allocation

Equity Market Capitalization

Equity Sectors

Fund fundamentals data as of 05/18/2022. (c) 2022 Morningstar. All Rights Reserved. The fund fundamentals information contained herein: (1) is proprietary to Morningstar and/or its content providers; (2) may not be copied or distributed; and (3) is not warranted to be accurate, complete or timely. Neither Morningstar nor its content providers are responsible for any damages or losses arising from any use of this information.

Portfolio return and risk metrics
Metric	Portfolio 1	Portfolio 2	Portfolio 3
Arithmetic Mean (monthly)	0.43%	0.40%	0.71%
Arithmetic Mean (annualized)	5.28%	4.96%	8.86%
Geometric Mean (monthly)	0.29%	0.27%	0.60%
Geometric Mean (annualized)	3.52%	3.35%	7.41%
Standard Deviation (monthly)	5.28%	5.07%	4.72%
Standard Deviation (annualized)	18.28%	17.57%	16.36%
Downside Deviation (monthly)	3.74%	3.55%	3.28%
Maximum Drawdown	-52.24%	-49.34%	-48.23%
Stock Market Correlation	0.97	0.95	1.00
Beta^(*)	1.08	1.02	1.00
Alpha (annualized)	-3.92%	-3.74%	0.11%
R²	93.24%	90.31%	100.00%
Sharpe Ratio	0.27	0.26	0.50
Sortino Ratio	0.38	0.37	0.72
Treynor Ratio (%)	4.53	4.49	8.25
Calmar Ratio	0.24	0.17	0.95
Active Return	-3.77%	-3.95%	0.12%
Tracking Error	4.93%	5.48%	0.07%
Information Ratio	-0.77	-0.72	1.78
Skewness	-0.60	-0.51	-0.72
Excess Kurtosis	1.63	1.68	1.52
Historical Value-at-Risk (5%)	-9.30%	-8.13%	-7.95%
Analytical Value-at-Risk (5%)	-8.24%	-7.98%	-7.06%
Conditional Value-at-Risk (5%)	-11.96%	-11.26%	-10.30%
Upside Capture Ratio (%)	95.91	89.94	100.36
Downside Capture Ratio (%)	112.88	107.09	99.85
Safe Withdrawal Rate	10.00%	10.29%	11.47%
Perpetual Withdrawal Rate	1.90%	1.73%	5.45%
Positive Periods	61 out of 108 (56.48%)	59 out of 108 (54.63%)	70 out of 108 (64.81%)
Gain/Loss Ratio	0.96	1.03	0.80
^* US stock market is used as the benchmark for calculations. Value-at-risk metrics are based on monthly values.

Drawdowns for Portfolio 1

Drawdowns for Portfolio 1
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Jan 2008	Feb 2009	1 year 2 months	Jan 2013	3 years 11 months	5 years 1 month	-52.24%
2	Jun 2015	Feb 2016	9 months	Dec 2016	10 months	1 year 7 months	-14.38%
3	Jan 2014	Jan 2014	1 month	Feb 2014	1 month	2 months	-4.73%
4	Sep 2014	Jan 2015	5 months	Feb 2015	1 month	6 months	-4.38%
5	May 2013	Jun 2013	2 months	Jul 2013	1 month	3 months	-2.90%
6	Aug 2013	Aug 2013	1 month	Sep 2013	1 month	2 months	-2.69%
7	Jul 2014	Jul 2014	1 month	Aug 2014	1 month	2 months	-1.74%
8	Mar 2015	Mar 2015	1 month	Apr 2015	1 month	2 months	-1.15%
9	Feb 2013	Feb 2013	1 month	Mar 2013	1 month	2 months	-0.13%

Drawdowns for Portfolio 2

Drawdowns for Portfolio 2
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Jan 2008	Feb 2009	1 year 2 months	Feb 2011	2 years	3 years 2 months	-49.34%
2	May 2011	Sep 2011	5 months	Dec 2012	1 year 3 months	1 year 8 months	-21.34%
3	May 2015	Feb 2016	10 months				-15.97%
4	Sep 2014	Jan 2015	5 months	Apr 2015	3 months	8 months	-5.45%
5	Jan 2014	Jan 2014	1 month	Mar 2014	2 months	3 months	-5.03%
6	May 2013	Jun 2013	2 months	Jul 2013	1 month	3 months	-3.77%
7	Aug 2013	Aug 2013	1 month	Sep 2013	1 month	2 months	-2.67%
8	Jul 2014	Jul 2014	1 month	Aug 2014	1 month	2 months	-1.16%
9	Feb 2013	Feb 2013	1 month	Mar 2013	1 month	2 months	-0.33%

Drawdowns for Portfolio 3

Drawdowns for Portfolio 3 (worst 10)
Rank	Start	End	Length	Recovery By	Recovery Time	Underwater Period	Drawdown
1	Jan 2008	Feb 2009	1 year 2 months	Feb 2011	2 years	3 years 2 months	-48.23%
2	May 2011	Sep 2011	5 months	Feb 2012	5 months	10 months	-17.71%
3	Jun 2015	Sep 2015	4 months	May 2016	8 months	1 year	-8.84%
4	Apr 2012	May 2012	2 months	Aug 2012	3 months	5 months	-6.82%
5	Jan 2014	Jan 2014	1 month	Feb 2014	1 month	2 months	-3.11%
6	Aug 2013	Aug 2013	1 month	Sep 2013	1 month	2 months	-2.80%
7	Jan 2015	Jan 2015	1 month	Feb 2015	1 month	2 months	-2.77%
8	Oct 2016	Oct 2016	1 month	Nov 2016	1 month	2 months	-2.21%
9	Sep 2014	Sep 2014	1 month	Oct 2014	1 month	2 months	-2.11%
10	Jul 2014	Jul 2014	1 month	Aug 2014	1 month	2 months	-1.98%
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	Market Correlation
VTI	Vanguard Total Stock Market ETF	7.44%	16.36%	33.45%	-36.98%	-48.15%	0.50	0.73	1.00
VTV	Vanguard Value ETF	6.69%	16.22%	33.10%	-35.87%	-50.72%	0.46	0.66	0.98
VOE	Vanguard Mid-Cap Value ETF	9.10%	18.55%	38.23%	-36.65%	-49.53%	0.55	0.80	0.98
VBR	Vanguard Small-Cap Value ETF	9.55%	20.62%	36.55%	-32.20%	-49.75%	0.53	0.78	0.95
VEA	Vanguard FTSE Developed Markets ETF	-0.02%	19.94%	27.49%	-40.65%	-54.11%	0.09	0.12	0.90
VWO	Vanguard FTSE Emerging Markets ETF	-1.54%	24.20%	76.28%	-52.49%	-57.75%	0.05	0.07	0.82
VIG	Vanguard Dividend Appreciation ETF	7.12%	13.67%	28.87%	-26.69%	-39.40%	0.55	0.79	0.97
XLE	Energy Select Sector SPDR ETF	1.42%	22.76%	28.02%	-38.97%	-53.13%	0.16	0.23	0.75
MUB	iShares National Muni Bond ETF	3.79%	5.59%	12.98%	-3.44%	-8.79%	0.64	1.00	0.12
VTSAX	Vanguard Total Stock Mkt Idx Adm	7.41%	16.36%	33.52%	-36.99%	-48.23%	0.50	0.72	1.00

Portfolio Asset Performance

Performance of portfolio assets
Name	Total Return			Annualized Return		Expense Ratio
Name	3 Month	Year To Date	1 year	3 year	5 year	Net	Gross
Vanguard Total Stock Market ETF	4.23%	12.83%	12.83%	8.42%	14.64%	0.03%	0.03%
Vanguard Value ETF	7.70%	17.12%	17.12%	9.48%	15.01%	0.04%	0.04%
Vanguard Mid-Cap Value ETF	4.52%	15.40%	15.40%	8.86%	15.57%	0.07%	0.07%
Vanguard Small-Cap Value ETF	10.06%	24.90%	24.90%	9.56%	16.40%	0.07%	0.07%
Vanguard FTSE Developed Markets ETF	-1.52%	2.67%	2.67%	-1.29%	6.79%	0.05%	0.05%
Vanguard FTSE Emerging Markets ETF	-4.46%	12.21%	12.21%	-1.90%	1.36%	0.08%	0.08%
Vanguard Dividend Appreciation ETF	2.17%	11.97%	11.97%	6.52%	11.70%	0.06%	0.06%
Energy Select Sector SPDR ETF	7.23%	28.02%	28.02%	-2.82%	4.04%	0.10%	0.10%
iShares National Muni Bond ETF	-3.39%	-0.17%	-0.17%	3.96%	2.67%	0.07%	0.07%
Vanguard Total Stock Mkt Idx Adm	4.12%	12.66%	12.66%	8.38%	14.62%	0.04%	0.04%
Trailing returns as of last calendar month ending December 2016

Monthly Correlations

Correlations for the portfolio assets
Ticker	Name	VTI	VTV	VOE	VBR	VEA	VWO	VIG	XLE	MUB	VTSAX	Portfolio 1	Portfolio 2	Portfolio 3
VTI	Vanguard Total Stock Market ETF	1.00	0.98	0.98	0.95	0.90	0.82	0.96	0.75	0.12	1.00	0.97	0.95	1.00
VTV	Vanguard Value ETF	0.98	1.00	0.96	0.94	0.89	0.78	0.96	0.72	0.10	0.98	0.95	0.92	0.98
VOE	Vanguard Mid-Cap Value ETF	0.98	0.96	1.00	0.98	0.88	0.81	0.93	0.72	0.18	0.98	0.95	0.93	0.98
VBR	Vanguard Small-Cap Value ETF	0.95	0.94	0.98	1.00	0.83	0.77	0.91	0.69	0.11	0.95	0.91	0.89	0.95
VEA	Vanguard FTSE Developed Markets ETF	0.90	0.89	0.88	0.83	1.00	0.89	0.87	0.73	0.20	0.90	0.98	0.97	0.90
VWO	Vanguard FTSE Emerging Markets ETF	0.82	0.78	0.81	0.77	0.89	1.00	0.78	0.74	0.18	0.82	0.91	0.95	0.82
VIG	Vanguard Dividend Appreciation ETF	0.96	0.96	0.93	0.91	0.87	0.78	1.00	0.72	0.14	0.97	0.93	0.91	0.97
XLE	Energy Select Sector SPDR ETF	0.75	0.72	0.72	0.69	0.73	0.74	0.72	1.00	-0.09	0.75	0.76	0.80	0.75
MUB	iShares National Muni Bond ETF	0.12	0.10	0.18	0.11	0.20	0.18	0.14	-0.09	1.00	0.12	0.17	0.17	0.12
VTSAX	Vanguard Total Stock Mkt Idx Adm	1.00	0.98	0.98	0.95	0.90	0.82	0.97	0.75	0.12	1.00	0.97	0.95	1.00

Portfolio Return Decomposition

Portfolio return decomposition
Ticker	Name	Portfolio 1	Portfolio 2	Portfolio 3
VTI	Vanguard Total Stock Market ETF	$100,998	$207,704
VTV	Vanguard Value ETF	$93,526
VOE	Vanguard Mid-Cap Value ETF	$34,302
VBR	Vanguard Small-Cap Value ETF	$35,914
VEA	Vanguard FTSE Developed Markets ETF	-$5,475	$876
VWO	Vanguard FTSE Emerging Markets ETF	-$4,993	-$9,698
VIG	Vanguard Dividend Appreciation ETF		$26,799
XLE	Energy Select Sector SPDR ETF		$7,472
MUB	iShares National Muni Bond ETF		$14,630
VTSAX	Vanguard Total Stock Mkt Idx Adm			$688,869
Return attribution decomposes portfolio gains into its constituent parts and identifies the contribution to returns by each of the assets.

Portfolio Risk Decomposition

Portfolio risk decomposition
Ticker	Name	Portfolio 1	Portfolio 2	Portfolio 3
VTI	Vanguard Total Stock Market ETF	15.53%	30.75%
VTV	Vanguard Value ETF	15.18%
VOE	Vanguard Mid-Cap Value ETF	4.81%
VBR	Vanguard Small-Cap Value ETF	5.15%
VEA	Vanguard FTSE Developed Markets ETF	43.67%	23.94%
VWO	Vanguard FTSE Emerging Markets ETF	15.68%	36.39%
VIG	Vanguard Dividend Appreciation ETF		3.53%
XLE	Energy Select Sector SPDR ETF		5.13%
MUB	iShares National Muni Bond ETF		0.27%
VTSAX	Vanguard Total Stock Mkt Idx Adm			100.00%
Risk attribution decomposes portfolio risk into its constituent parts and identifies the contribution to overall volatility by each of the assets.

Annual Asset Returns

Rolling returns summary
Roll Period	Portfolio 1			Portfolio 2			Portfolio 3
Roll Period	Average	High	Low	Average	High	Low	Average	High	Low
1 year	7.29%	63.45%	-48.09%	6.96%	62.05%	-45.31%	10.91%	56.46%	-43.15%
3 years	9.20%	25.09%	-3.01%	8.54%	25.81%	-0.99%	13.61%	26.75%	-1.63%
5 years	9.29%	20.87%	-0.13%	8.51%	19.46%	1.08%	13.77%	24.00%	2.29%
7 years	8.32%	13.48%	3.52%	7.83%	12.36%	3.67%	12.54%	17.42%	7.72%