This portfolio backtesting tool allows you to construct one or more portfolios based on the selected asset class level allocations in order to analyze and backtest portfolio returns, risk characteristics, drawdowns, and rolling returns. 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.

You can also use the portfolio backtesting tool to build and compare portfolios based on specific mutual funds, ETFs, and stocks.

Asset Class | Allocation |
---|---|

US Stock Market | 50.00% |

Gold | 50.00% |

Save portfolio » |

Asset Class | Allocation |
---|---|

US Stock Market | 25.00% |

Gold | 25.00% |

Cash | 25.00% |

Long Term Treasury | 25.00% |

Save portfolio » |

Portfolio | Initial Balance | Final Balance | CAGR | Stdev | Best Year | Worst Year | Max. Drawdown | Sharpe Ratio | Sortino Ratio | Market Correlation |
---|---|---|---|---|---|---|---|---|---|---|

Stock/Gold 50/50 | $10,000 | $514,806 | 9.12% | 12.57% | 75.40% | -18.37% | -33.29% | 0.42 | 0.65 | 0.66 |

PP | $10,000 | $304,506 | 7.86% | 7.27% | 39.80% | -12.03% | -15.58% | 0.49 | 0.78 | 0.59 |

Name | Total Return | Annualized Return | Annualized Standard Deviation | ||||||
---|---|---|---|---|---|---|---|---|---|

3 Month | Year To Date | 1 year | 3 year | 5 year | 10 year | Full | 3 year | 5 year | |

Stock/Gold 50/50 | 0.99% | 2.23% | -6.26% | 8.49% | 8.12% | 6.95% | 9.12% | 14.58% | 12.61% |

PP | 0.79% | 1.77% | -8.36% | 1.83% | 4.50% | 4.13% | 7.86% | 9.20% | 7.88% |

Trailing return and volatility are as of last full calendar month ending February 2023 |

Notes and Disclosures

- 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.
- 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.
- 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.
- The annual results for 2023 are based on monthly returns from January to February.
- The results assume annual rebalancing of portfolio assets to match the specified allocation.

Year | Inflation | Stock/Gold 50/50 | PP | US Stock Market | Gold | Cash | Long Term Treasury | ||
---|---|---|---|---|---|---|---|---|---|

Return | Balance | Return | Balance | ||||||

1978 | 9.02% | 22.73% | $12,273 | 12.84% | $11,284 | 8.45% | 37.01% | 7.45% | -1.55% |

1979 | 13.29% | 75.40% | $21,527 | 39.80% | $15,775 | 24.25% | 126.55% | 10.49% | -2.10% |

1980 | 12.52% | 24.17% | $26,730 | 13.87% | $17,964 | 33.15% | 15.19% | 12.15% | -4.99% |

1981 | 8.92% | -18.37% | $21,819 | -5.20% | $17,029 | -4.15% | -32.60% | 15.29% | 0.65% |

1982 | 3.83% | 17.72% | $25,685 | 23.50% | $21,031 | 20.50% | 14.94% | 11.45% | 47.10% |

1983 | 3.79% | 3.18% | $26,501 | 3.52% | $21,772 | 22.66% | -16.31% | 9.03% | -1.29% |

1984 | 3.95% | -8.60% | $24,223 | 2.30% | $22,273 | 2.19% | -19.38% | 10.17% | 16.24% |

1985 | 3.80% | 18.64% | $28,737 | 20.51% | $26,842 | 31.27% | 6.00% | 7.88% | 36.90% |

1986 | 1.10% | 16.77% | $33,555 | 17.67% | $31,585 | 14.57% | 18.96% | 6.28% | 30.87% |

1987 | 4.43% | 13.57% | $38,109 | 7.54% | $33,966 | 2.61% | 24.53% | 5.93% | -2.92% |

1988 | 4.42% | 1.03% | $38,501 | 4.50% | $35,495 | 17.32% | -15.26% | 6.80% | 9.15% |

1989 | 4.65% | 12.64% | $43,368 | 12.96% | $40,094 | 28.12% | -2.84% | 8.61% | 17.93% |

1990 | 6.11% | -4.59% | $41,376 | 1.12% | $40,543 | -6.08% | -3.11% | 7.89% | 5.78% |

1991 | 3.06% | 11.92% | $46,306 | 11.74% | $45,304 | 32.39% | -8.56% | 5.71% | 17.43% |

1992 | 2.90% | 1.69% | $47,087 | 3.59% | $46,930 | 9.11% | -5.73% | 3.57% | 7.41% |

1993 | 2.75% | 14.15% | $53,751 | 12.03% | $52,578 | 10.62% | 17.68% | 3.05% | 16.78% |

1994 | 2.67% | -1.17% | $53,122 | -1.29% | $51,897 | -0.17% | -2.17% | 4.20% | -7.04% |

1995 | 2.54% | 18.38% | $62,887 | 18.14% | $61,312 | 35.79% | 0.98% | 5.71% | 30.09% |

1996 | 3.32% | 8.19% | $68,036 | 5.07% | $64,422 | 20.96% | -4.59% | 5.17% | -1.26% |

1997 | 1.70% | 4.79% | $71,297 | 7.18% | $69,046 | 30.99% | -21.41% | 5.22% | 13.90% |

1998 | 1.61% | 11.22% | $79,296 | 10.12% | $76,030 | 23.26% | -0.83% | 4.97% | 13.05% |

1999 | 2.68% | 12.33% | $89,075 | 5.19% | $79,979 | 23.81% | 0.85% | 4.77% | -8.66% |

2000 | 3.39% | -8.01% | $81,941 | 2.42% | $81,918 | -10.57% | -5.44% | 5.99% | 19.72% |

2001 | 1.55% | -5.11% | $77,754 | -0.55% | $81,465 | -10.97% | 0.75% | 3.70% | 4.31% |

2002 | 2.38% | 2.30% | $79,546 | 5.73% | $86,135 | -20.96% | 25.57% | 1.65% | 16.67% |

2003 | 1.88% | 25.62% | $99,926 | 13.74% | $97,970 | 31.35% | 19.89% | 1.04% | 2.68% |

2004 | 3.26% | 8.58% | $108,502 | 6.40% | $104,242 | 12.52% | 4.65% | 1.32% | 7.12% |

2005 | 3.42% | 11.87% | $121,383 | 8.37% | $112,969 | 5.98% | 17.76% | 3.14% | 6.61% |

2006 | 2.54% | 19.03% | $144,481 | 11.16% | $125,571 | 15.51% | 22.55% | 4.82% | 1.74% |

2007 | 4.08% | 17.97% | $170,447 | 12.44% | $141,187 | 5.49% | 30.45% | 4.56% | 9.24% |

2008 | 0.09% | -16.06% | $143,078 | -2.02% | $138,339 | -37.04% | 4.92% | 1.53% | 22.51% |

2009 | 2.72% | 26.36% | $180,798 | 10.21% | $152,459 | 28.70% | 24.03% | 0.16% | -12.06% |

2010 | 1.50% | 23.18% | $222,711 | 13.86% | $173,587 | 17.09% | 29.27% | 0.14% | 8.93% |

2011 | 2.96% | 5.26% | $234,435 | 9.97% | $190,890 | 0.96% | 9.57% | 0.07% | 29.28% |

2012 | 1.74% | 11.43% | $261,222 | 6.60% | $203,487 | 16.25% | 6.60% | 0.08% | 3.46% |

2013 | 1.50% | 2.51% | $267,779 | -1.99% | $199,440 | 33.35% | -28.33% | 0.05% | -13.03% |

2014 | 0.76% | 5.12% | $281,492 | 8.89% | $217,166 | 12.43% | -2.19% | 0.03% | 25.27% |

2015 | 0.73% | -5.19% | $266,883 | -2.97% | $210,724 | 0.29% | -10.67% | 0.05% | -1.54% |

2016 | 2.07% | 10.28% | $294,327 | 5.52% | $222,351 | 12.53% | 8.03% | 0.30% | 1.21% |

2017 | 2.11% | 16.93% | $344,157 | 10.83% | $246,439 | 21.05% | 12.81% | 0.88% | 8.59% |

2018 | 1.91% | -3.60% | $331,773 | -1.80% | $242,004 | -5.26% | -1.94% | 1.90% | -1.90% |

2019 | 2.29% | 24.25% | $412,235 | 16.19% | $281,182 | 30.65% | 17.86% | 2.13% | 14.13% |

2020 | 1.36% | 22.84% | $506,398 | 16.10% | $326,463 | 20.87% | 24.81% | 0.44% | 18.29% |

2021 | 7.04% | 10.72% | $560,682 | 4.19% | $340,139 | 25.59% | -4.15% | 0.04% | -4.73% |

2022 | 6.45% | -10.19% | $503,563 | -12.03% | $299,209 | -19.60% | -0.77% | 1.82% | -29.58% |

2023 | 0.80% | 2.23% | $514,806 | 1.77% | $304,506 | 4.38% | 0.08% | 0.75% | 1.87% |

Annual return for 2023 is from 01/01/2023 to 02/28/2023 |

Metric | Stock/Gold 50/50 | PP |
---|---|---|

Arithmetic Mean (monthly) | 0.80% | 0.65% |

Arithmetic Mean (annualized) | 9.97% | 8.14% |

Geometric Mean (monthly) | 0.73% | 0.63% |

Geometric Mean (annualized) | 9.12% | 7.86% |

Standard Deviation (monthly) | 3.63% | 2.10% |

Standard Deviation (annualized) | 12.57% | 7.27% |

Downside Deviation (monthly) | 2.17% | 1.14% |

Maximum Drawdown | -33.29% | -15.58% |

Stock Market Correlation | 0.66 | 0.59 |

Beta^{(*)} | 0.53 | 0.28 |

Alpha (annualized) | 3.16% | 4.53% |

R^{2} | 43.47% | 35.24% |

Sharpe Ratio | 0.42 | 0.49 |

Sortino Ratio | 0.65 | 0.78 |

Treynor Ratio (%) | 9.98 | 13.04 |

Calmar Ratio | 0.49 | 0.12 |

Active Return | -2.22% | -3.49% |

Tracking Error | 11.96% | 12.73% |

Information Ratio | -0.19 | -0.27 |

Skewness | -0.03 | 0.10 |

Excess Kurtosis | 3.84 | 2.67 |

Historical Value-at-Risk (5%) | -4.43% | -2.35% |

Analytical Value-at-Risk (5%) | -5.17% | -2.80% |

Conditional Value-at-Risk (5%) | -7.19% | -3.70% |

Upside Capture Ratio (%) | 56.39 | 34.92 |

Downside Capture Ratio (%) | 47.22 | 17.65 |

Safe Withdrawal Rate | 6.36% | 5.61% |

Perpetual Withdrawal Rate | 5.13% | 4.01% |

Positive Periods | 323 out of 542 (59.59%) | 345 out of 542 (63.65%) |

Gain/Loss Ratio | 1.24 | 1.33 |

^{*} US stock market is used as the benchmark for calculations. Value-at-risk metrics are based on monthly values. |

Stress Period | Start | End | Stock/Gold 50/50 | PP |
---|---|---|---|---|

Black Monday Period | Sep 1987 | Nov 1987 | -11.77% | -5.75% |

Asian Crisis | Jul 1997 | Jan 1998 | -4.56% | -1.72% |

Russian Debt Default | Jul 1998 | Oct 1998 | -12.95% | -5.34% |

Dotcom Crash | Mar 2000 | Oct 2002 | -16.85% | -5.44% |

Subprime Crisis | Nov 2007 | Mar 2009 | -26.02% | -13.52% |

COVID-19 Start | Jan 2020 | Mar 2020 | -10.62% | -1.93% |

Rank | Start | End | Length | Recovery By | Recovery Time | Underwater Period | Drawdown |
---|---|---|---|---|---|---|---|

1 | Dec 1980 | Jun 1982 | 1 year 7 months | Nov 1985 | 3 years 5 months | 5 years | -33.29% |

2 | Mar 2008 | Oct 2008 | 8 months | Nov 2009 | 1 year 1 month | 1 year 9 months | -26.02% |

3 | Feb 1980 | Mar 1980 | 2 months | Jun 1980 | 3 months | 5 months | -18.61% |

4 | Apr 2022 | Sep 2022 | 6 months | -17.31% | |||

5 | Jan 2000 | Sep 2002 | 2 years 9 months | Aug 2003 | 11 months | 3 years 8 months | -16.91% |

6 | May 1998 | Aug 1998 | 4 months | Dec 1998 | 4 months | 8 months | -14.57% |

7 | Sep 1987 | Nov 1987 | 3 months | Nov 1989 | 2 years | 2 years 3 months | -11.77% |

8 | Feb 2020 | Mar 2020 | 2 months | May 2020 | 2 months | 4 months | -10.62% |

9 | Nov 1978 | Nov 1978 | 1 month | Jan 1979 | 2 months | 3 months | -10.50% |

10 | Sep 2011 | Sep 2011 | 1 month | Jan 2012 | 4 months | 5 months | -9.63% |

Worst 10 drawdowns included above |

Rank | Start | End | Length | Recovery By | Recovery Time | Underwater Period | Drawdown |
---|---|---|---|---|---|---|---|

1 | Jan 2022 | Sep 2022 | 9 months | -15.58% | |||

2 | Mar 2008 | Oct 2008 | 8 months | Sep 2009 | 11 months | 1 year 7 months | -13.52% |

3 | Dec 1980 | Mar 1982 | 1 year 4 months | Aug 1982 | 5 months | 1 year 9 months | -11.47% |

4 | Feb 1980 | Mar 1980 | 2 months | Jun 1980 | 3 months | 5 months | -11.34% |

5 | Aug 2016 | Dec 2016 | 5 months | Aug 2017 | 8 months | 1 year 1 month | -6.78% |

6 | Oct 2012 | Jun 2013 | 9 months | Feb 2014 | 8 months | 1 year 5 months | -6.65% |

7 | Feb 2015 | Dec 2015 | 11 months | Apr 2016 | 4 months | 1 year 3 months | -6.45% |

8 | Sep 1987 | Nov 1987 | 3 months | Dec 1988 | 1 year 1 month | 1 year 4 months | -5.75% |

9 | Sep 2000 | Mar 2001 | 7 months | Mar 2002 | 1 year | 1 year 7 months | -5.44% |

10 | Jul 1998 | Aug 1998 | 2 months | Oct 1998 | 2 months | 4 months | -5.34% |

Worst 10 drawdowns included above |

Name | CAGR | Stdev | Best Year | Worst Year | Max Drawdown | Sharpe Ratio | Sortino Ratio | Market Correlation |
---|---|---|---|---|---|---|---|---|

US Stock Market | 11.34% | 15.62% | 35.79% | -37.04% | -50.89% | 0.50 | 0.72 | 1.00 |

Gold | 5.28% | 18.57% | 126.55% | -32.60% | -61.78% | 0.14 | 0.22 | 0.06 |

Cash | 4.33% | 1.06% | 15.29% | 0.03% | 0.00% | N/A | N/A | 0.01 |

Long Term Treasury | 7.31% | 11.40% | 47.10% | -29.58% | -40.02% | 0.31 | 0.48 | 0.06 |

Name | Total Return | Annualized Return | ||||
---|---|---|---|---|---|---|

3 Month | Year To Date | 1 year | 3 year | 5 year | 10 year | |

US Stock Market | -1.76% | 4.38% | -8.34% | 11.56% | 9.23% | 11.70% |

Gold | 3.02% | 0.08% | -4.82% | 4.59% | 6.32% | 1.05% |

Cash | 1.11% | 0.75% | 2.55% | 0.93% | 1.37% | 0.84% |

Long Term Treasury | -0.36% | 1.87% | -24.34% | -10.91% | -0.71% | 0.86% |

Trailing returns as of last calendar month ending February 2023 |

Name | US Stock Market | Gold | Cash | Long Term Treasury | Stock/Gold 50/50 | PP |
---|---|---|---|---|---|---|

US Stock Market | 1.00 | 0.06 | 0.01 | 0.06 | 0.66 | 0.59 |

Gold | 0.06 | 1.00 | -0.02 | 0.09 | 0.78 | 0.73 |

Cash | 0.01 | -0.02 | 1.00 | 0.07 | -0.01 | 0.06 |

Long Term Treasury | 0.06 | 0.09 | 0.07 | 1.00 | 0.11 | 0.48 |

Name | Stock/Gold 50/50 | PP |
---|---|---|

US Stock Market | $336,252 | $136,897 |

Gold | $168,555 | $72,187 |

Cash | $25,452 | |

Long Term Treasury | $59,970 | |

Return attribution decomposes portfolio gains into its constituent parts and identifies the contribution to returns by each of the assets. |

Name | Stock/Gold 50/50 | PP |
---|---|---|

US Stock Market | 41.44% | 32.71% |

Gold | 58.56% | 47.58% |

Cash | 0.23% | |

Long Term Treasury | 19.49% | |

Risk attribution decomposes portfolio risk into its constituent parts and identifies the contribution to overall volatility by each of the assets. |

Roll Period | Stock/Gold 50/50 | PP | ||||
---|---|---|---|---|---|---|

Average | High | Low | Average | High | Low | |

1 year | 10.00% | 97.09% | -25.74% | 8.22% | 45.39% | -14.17% |

3 years | 8.68% | 38.78% | -4.66% | 7.88% | 21.56% | 0.63% |

5 years | 8.33% | 22.23% | -0.52% | 7.75% | 16.63% | 2.67% |

7 years | 8.17% | 14.29% | 2.34% | 7.66% | 14.19% | 3.13% |

10 years | 8.10% | 14.31% | 3.86% | 7.56% | 13.11% | 3.32% |

15 years | 8.08% | 10.93% | 3.84% | 7.50% | 11.10% | 4.95% |