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.
Trailing returns are as of last full calendar month ending December 2021
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.
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.
The results assume annual rebalancing of portfolio assets to match the specified allocation.
Annual returns for the configured portfolios
Year
Inflation
NUSI
60/40
Neapolitan
Nationwide Nasdaq-100 Risk-Mngd Inc ETF (NUSI)
Vanguard Total Stock Market ETF (VTI)
Vanguard Long-Term Treasury ETF (VGLT)
Vanguard Total World Stock ETF (VT)
Vanguard Extended Duration Trs ETF (EDV)
abrdn Physical Gold Shares ETF (SGOL)
Return
Balance
Return
Balance
Return
Balance
2020
1.36%
18.62%
$11,862
19.65%
$11,965
21.24%
$12,124
18.62%
21.03%
17.57%
16.61%
23.62%
25.03%
2021
7.04%
9.75%
$13,018
13.41%
$13,569
4.27%
$12,642
9.75%
25.67%
-4.98%
18.27%
-6.20%
-3.94%
Monthly returns for the configured portfolios
Year
Month
NUSI
60/40
Neapolitan
Nationwide Nasdaq-100 Risk-Mngd Inc ETF (NUSI)
Vanguard Total Stock Market ETF (VTI)
Vanguard Long-Term Treasury ETF (VGLT)
Vanguard Total World Stock ETF (VT)
Vanguard Extended Duration Trs ETF (EDV)
abrdn Physical Gold Shares ETF (SGOL)
Return
Balance
Return
Balance
Return
Balance
2020
1
3.01%
$10,301
2.88%
$10,288
3.81%
$10,381
3.01%
-0.06%
7.29%
-1.56%
10.32%
4.45%
2020
2
-4.58%
$9,830
-1.91%
$10,091
-0.29%
$10,350
-4.58%
-8.00%
6.60%
-7.22%
8.24%
-0.59%
2020
3
-0.80%
$9,752
-4.69%
$9,618
-2.49%
$10,093
-0.80%
-13.91%
6.42%
-14.76%
8.03%
-0.20%
2020
4
9.97%
$10,724
6.98%
$10,289
6.34%
$10,732
9.97%
13.13%
0.97%
10.37%
2.35%
7.26%
2020
5
1.38%
$10,872
1.99%
$10,494
1.30%
$10,872
1.38%
5.40%
-1.73%
5.21%
-3.23%
2.65%
2020
6
3.98%
$11,305
1.40%
$10,641
2.05%
$11,095
3.98%
2.29%
0.35%
3.07%
0.47%
2.76%
2020
7
1.32%
$11,454
5.03%
$11,177
7.38%
$11,914
1.32%
5.74%
4.19%
5.29%
6.29%
10.79%
2020
8
3.70%
$11,877
1.72%
$11,369
-0.42%
$11,864
3.70%
7.10%
-4.80%
6.01%
-6.73%
-0.26%
2020
9
-8.04%
$10,922
-1.70%
$11,176
-2.05%
$11,621
-8.04%
-3.54%
0.81%
-2.92%
1.07%
-4.17%
2020
10
2.19%
$11,162
-2.54%
$10,892
-2.38%
$11,345
2.19%
-1.95%
-3.30%
-2.05%
-4.49%
-0.55%
2020
11
3.47%
$11,549
7.37%
$11,695
3.34%
$11,724
3.47%
11.80%
1.50%
12.37%
2.42%
-5.37%
2020
12
2.71%
$11,862
2.30%
$11,965
3.41%
$12,124
2.71%
4.68%
-1.16%
4.94%
-1.74%
7.03%
2021
1
0.65%
$11,939
-1.61%
$11,772
-2.45%
$11,827
0.65%
-0.33%
-3.52%
-0.23%
-4.70%
-3.17%
2021
2
-0.08%
$11,929
-0.28%
$11,739
-3.03%
$11,469
-0.08%
3.14%
-5.58%
2.67%
-7.74%
-6.21%
2021
3
-1.10%
$11,798
0.47%
$11,794
-0.86%
$11,370
-1.10%
3.65%
-4.91%
2.85%
-6.27%
-1.20%
2021
4
3.53%
$12,214
4.07%
$12,274
3.63%
$11,783
3.53%
5.04%
2.29%
4.13%
2.87%
3.54%
2021
5
-1.54%
$12,027
0.26%
$12,306
2.91%
$12,126
-1.54%
0.46%
-0.11%
1.58%
-0.11%
7.77%
2021
6
4.97%
$12,625
3.06%
$12,683
-0.23%
$12,098
4.97%
2.48%
4.17%
1.18%
5.48%
-7.16%
2021
7
1.47%
$12,810
2.40%
$12,988
2.32%
$12,378
1.47%
1.74%
3.66%
0.62%
4.97%
2.53%
2021
8
1.58%
$13,012
1.76%
$13,216
0.94%
$12,495
1.58%
2.86%
-0.27%
2.26%
-0.28%
0.06%
2021
9
-3.50%
$12,557
-3.89%
$12,702
-3.81%
$12,019
-3.50%
-4.46%
-2.80%
-4.10%
-3.84%
-3.33%
2021
10
2.85%
$12,915
5.01%
$13,338
3.70%
$12,463
2.85%
6.69%
1.89%
5.15%
3.52%
1.54%
2021
11
1.84%
$13,153
-0.08%
$13,328
-0.39%
$12,415
1.84%
-1.46%
2.62%
-2.62%
3.60%
-0.64%
2021
12
-1.02%
$13,018
1.81%
$13,569
1.83%
$12,642
-1.02%
3.79%
-1.91%
3.81%
-2.72%
3.29%
Holdings Based Style Analysis for NUSI
Holdings Based Style Analysis for NUSI
Ticker
Name
Category
Weight
TTM Yield
Expense Ratio
P/E
Contribution
Net
Gross
Return
Risk
NUSI
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
Options Trading
100.00%
9.37%
0.68%
0.68%
23.63
$3,018
100.00%
Asset Allocation
Equity Market Capitalization
Equity Sectors
Holdings Based Style Analysis for 60/40
Holdings Based Style Analysis for 60/40
Ticker
Name
Category
Weight
Yield
Expense Ratio
P/E
Duration
Contribution
SEC
TTM
Net
Gross
Return
Risk
VTI
Vanguard Total Stock Market ETF
Large Blend
60.00%
1.55%
1.60%
0.03%
0.03%
18.43
$3,104
92.44%
VGLT
Vanguard Long-Term Treasury ETF
Long Government
40.00%
4.28%
2.86%
0.04%
0.04%
15.91
$464
7.56%
100.00%
2.64%
2.10%
0.03%
0.03%
18.43
15.91
$3,569
100.00%
Asset Allocation
Equity Market Capitalization
Equity Sectors
Fixed Income Credit Quality
Fixed Income Maturity
Holdings Based Style Analysis for Neapolitan
Holdings Based Style Analysis for Neapolitan
Ticker
Name
Category
Weight
Yield
Expense Ratio
P/E
Duration
Contribution
SEC
TTM
Net
Gross
Return
Risk
VT
Vanguard Total World Stock ETF
Global Large-Stock Blend
40.00%
2.44%
0.07%
0.07%
14.78
$1,551
44.37%
EDV
Vanguard Extended Duration Trs ETF
Long Government
30.00%
4.34%
3.47%
0.06%
0.06%
24.15
$483
21.44%
SGOL
abrdn Physical Gold Shares ETF
Commodities Focused
30.00%
0.17%
0.17%
$608
34.19%
100.00%
1.30%
2.02%
0.10%
0.10%
14.78
24.15
$2,642
100.00%
Asset Allocation
Equity Market Capitalization
Equity Sectors
Fixed Income Credit Quality
Fixed Income Maturity
Fund fundamentals data as of 11/25/2022. (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
NUSI
60/40
Neapolitan
Arithmetic Mean (monthly)
1.17%
1.33%
1.02%
Arithmetic Mean (annualized)
14.92%
17.13%
13.00%
Geometric Mean (monthly)
1.11%
1.28%
0.98%
Geometric Mean (annualized)
14.10%
16.49%
12.43%
Standard Deviation (monthly)
3.55%
3.13%
2.98%
Standard Deviation (annualized)
12.30%
10.83%
10.33%
Downside Deviation (monthly)
2.07%
1.48%
1.40%
Maximum Drawdown
-8.04%
-6.51%
-6.22%
Stock Market Correlation
0.66
0.89
0.63
Beta(*)
0.40
0.47
0.32
Alpha (annualized)
4.82%
5.04%
4.88%
R2
43.38%
78.59%
40.10%
Sharpe Ratio
1.11
1.44
1.16
Sortino Ratio
1.90
3.00
2.46
Treynor Ratio (%)
34.55
33.23
37.47
Active Return
-9.11%
-6.72%
-10.77%
Tracking Error
15.37%
11.87%
15.97%
Information Ratio
-0.59
-0.57
-0.67
Skewness
-0.32
0.03
0.27
Excess Kurtosis
1.99
-0.27
-0.56
Historical Value-at-Risk (5%)
-4.41%
-3.69%
-2.95%
Analytical Value-at-Risk (5%)
-4.67%
-4.06%
-3.94%
Conditional Value-at-Risk (5%)
-6.31%
-4.29%
-3.42%
Upside Capture Ratio (%)
41.96
52.54
38.89
Downside Capture Ratio (%)
29.30
40.93
30.76
Safe Withdrawal Rate
59.24%
60.73%
59.02%
Perpetual Withdrawal Rate
8.71%
10.58%
7.36%
Positive Periods
16 out of 24 (66.67%)
16 out of 24 (66.67%)
13 out of 24 (54.17%)
Gain/Loss Ratio
1.18
1.45
1.98
* 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
NUSI
60/40
Neapolitan
COVID-19 Start
Jan 2020
Mar 2020
-5.34%
-6.51%
-2.77%
Drawdowns for NUSI
Drawdowns for NUSI
Rank
Start
End
Length
Recovery By
Recovery Time
Underwater Period
Drawdown
1
Sep 2020
Sep 2020
1 month
Jan 2021
4 months
5 months
-8.04%
2
Feb 2020
Mar 2020
2 months
Apr 2020
1 month
3 months
-5.34%
3
Sep 2021
Sep 2021
1 month
Nov 2021
2 months
3 months
-3.50%
4
May 2021
May 2021
1 month
Jun 2021
1 month
2 months
-1.54%
5
Feb 2021
Mar 2021
2 months
Apr 2021
1 month
3 months
-1.18%
6
Dec 2021
Dec 2021
1 month
-1.02%
Drawdowns for 60/40
Drawdowns for 60/40
Rank
Start
End
Length
Recovery By
Recovery Time
Underwater Period
Drawdown
1
Feb 2020
Mar 2020
2 months
Apr 2020
1 month
3 months
-6.51%
2
Sep 2020
Oct 2020
2 months
Nov 2020
1 month
3 months
-4.19%
3
Sep 2021
Sep 2021
1 month
Oct 2021
1 month
2 months
-3.89%
4
Jan 2021
Feb 2021
2 months
Apr 2021
2 months
4 months
-1.88%
5
Nov 2021
Nov 2021
1 month
Dec 2021
1 month
2 months
-0.08%
Drawdowns for Neapolitan
Drawdowns for Neapolitan
Rank
Start
End
Length
Recovery By
Recovery Time
Underwater Period
Drawdown
1
Jan 2021
Mar 2021
3 months
May 2021
2 months
5 months
-6.22%
2
Aug 2020
Oct 2020
3 months
Dec 2020
2 months
5 months
-4.78%
3
Sep 2021
Sep 2021
1 month
Dec 2021
3 months
4 months
-3.81%
4
Feb 2020
Mar 2020
2 months
Apr 2020
1 month
3 months
-2.77%
5
Jun 2021
Jun 2021
1 month
Jul 2021
1 month
2 months
-0.23%
Portfolio Assets
Performance statistics for portfolio components
Ticker
Name
CAGR
Stdev
Best Year
Worst Year
Max Drawdown
Sharpe Ratio
Sortino Ratio
Market Correlation
NUSI
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
14.10%
12.30%
18.62%
9.75%
-8.04%
1.11
1.90
0.66
VTI
Vanguard Total Stock Market ETF
23.33%
20.22%
25.67%
21.03%
-20.84%
1.13
1.87
1.00
VGLT
Vanguard Long-Term Treasury ETF
5.70%
12.85%
17.57%
-4.98%
-19.34%
0.48
0.79
-0.30
VT
Vanguard Total World Stock ETF
17.44%
19.42%
18.27%
16.61%
-22.15%
0.91
1.42
0.99
EDV
Vanguard Extended Duration Trs ETF
7.69%
17.53%
23.62%
-6.20%
-25.33%
0.50
0.82
-0.24
SGOL
abrdn Physical Gold Shares ETF
9.59%
15.95%
25.03%
-3.94%
-13.64%
0.64
1.13
0.24
Portfolio Asset Performance
Performance of portfolio assets
Name
Total Return
Expense Ratio
3 Month
Year To Date
1 year
Net
Gross
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
3.67%
9.75%
9.75%
0.68%
0.68%
Vanguard Total Stock Market ETF
9.11%
25.67%
25.67%
0.03%
0.03%
Vanguard Long-Term Treasury ETF
2.57%
-4.98%
-4.98%
0.04%
0.04%
Vanguard Total World Stock ETF
6.30%
18.27%
18.27%
0.07%
0.07%
Vanguard Extended Duration Trs ETF
4.34%
-6.20%
-6.20%
0.06%
0.06%
abrdn Physical Gold Shares ETF
4.21%
-3.94%
-3.94%
0.17%
0.17%
Trailing returns as of last calendar month ending December 2021
Monthly Correlations
Correlations for the portfolio assets
Ticker
Name
NUSI
VTI
VGLT
VT
EDV
SGOL
NUSI
60/40
Neapolitan
NUSI
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
1.00
0.66
0.05
0.58
0.09
0.28
1.00
0.68
0.54
VTI
Vanguard Total Stock Market ETF
0.66
1.00
-0.30
0.99
-0.25
0.25
0.66
0.88
0.63
VGLT
Vanguard Long-Term Treasury ETF
0.05
-0.30
1.00
-0.35
1.00
0.23
0.05
0.17
0.39
VT
Vanguard Total World Stock ETF
0.58
0.99
-0.35
1.00
-0.30
0.24
0.58
0.85
0.61
EDV
Vanguard Extended Duration Trs ETF
0.09
-0.25
1.00
-0.30
1.00
0.25
0.09
0.22
0.44
SGOL
abrdn Physical Gold Shares ETF
0.28
0.25
0.23
0.24
0.25
1.00
0.28
0.36
0.77
Portfolio Return Decomposition
Portfolio return decomposition
Ticker
Name
NUSI
60/40
Neapolitan
NUSI
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
$3,018
VTI
Vanguard Total Stock Market ETF
$3,104
VGLT
Vanguard Long-Term Treasury ETF
$464
VT
Vanguard Total World Stock ETF
$1,551
EDV
Vanguard Extended Duration Trs ETF
$483
SGOL
abrdn Physical Gold Shares ETF
$608
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
NUSI
60/40
Neapolitan
NUSI
Nationwide Nasdaq-100 Risk-Mngd Inc ETF
100.00%
VTI
Vanguard Total Stock Market ETF
92.44%
VGLT
Vanguard Long-Term Treasury ETF
7.56%
VT
Vanguard Total World Stock ETF
44.37%
EDV
Vanguard Extended Duration Trs ETF
21.44%
SGOL
abrdn Physical Gold Shares ETF
34.19%
Risk attribution decomposes portfolio risk into its constituent parts and identifies the contribution to overall volatility by each of the assets.