'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Applying this definition to our asset in some examples:- The total return over 5 years of AGGRESSIVE Historical is %, which is smaller, thus worse compared to the benchmark SPY (70.9%) in the same period.
- During the last 3 years, the total return, or increase in value is %, which is smaller, thus worse than the value of 47.1% from the benchmark.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Applying this definition to our asset in some examples:- Looking at the annual return (CAGR) of % in the last 5 years of AGGRESSIVE Historical, we see it is relatively lower, thus worse in comparison to the benchmark SPY (11.3%)
- During the last 3 years, the annual return (CAGR) is %, which is lower, thus worse than the value of 13.7% from the benchmark.

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

Which means for our asset as example:- Looking at the 30 days standard deviation of % in the last 5 years of AGGRESSIVE Historical, we see it is relatively smaller, thus better in comparison to the benchmark SPY (13.5%)
- During the last 3 years, the volatility is %, which is lower, thus better than the value of 12.8% from the benchmark.

'Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

Applying this definition to our asset in some examples:- Looking at the downside deviation of % in the last 5 years of AGGRESSIVE Historical, we see it is relatively smaller, thus better in comparison to the benchmark SPY (14.8%)
- Compared with SPY (14.6%) in the period of the last 3 years, the downside risk of % is lower, thus better.

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.65) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of of AGGRESSIVE Historical is lower, thus worse.
- Compared with SPY (0.88) in the period of the last 3 years, the risk / return profile (Sharpe) of is lower, thus worse.

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Which means for our asset as example:- The excess return divided by the downside deviation over 5 years of AGGRESSIVE Historical is , which is lower, thus worse compared to the benchmark SPY (0.59) in the same period.
- During the last 3 years, the excess return divided by the downside deviation is , which is lower, thus worse than the value of 0.77 from the benchmark.

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Which means for our asset as example:- Looking at the Ulcer Ratio of in the last 5 years of AGGRESSIVE Historical, we see it is relatively lower, thus better in comparison to the benchmark SPY (3.99 )
- Looking at Ulcer Ratio in of in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (4.1 ).

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of days in the last 5 years of AGGRESSIVE Historical, we see it is relatively higher, thus better in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum drop from peak to valley in of days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-19.3 days).

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of days in the last 5 years of AGGRESSIVE Historical, we see it is relatively lower, thus better in comparison to the benchmark SPY (187 days)
- Looking at maximum days below previous high in of days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (139 days).

'The Average Drawdown Duration is an extension of the Maximum Drawdown. However, this metric does not explain the drawdown in dollars or percentages, rather in days, weeks, or months. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average time in days below previous high water mark of days of AGGRESSIVE Historical is lower, thus better.
- Compared with SPY (36 days) in the period of the last 3 years, the average time in days below previous high water mark of days is lower, thus better.

Historical returns have been extended using synthetic data.
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- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of AGGRESSIVE Historical are hypothetical, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.