'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 Apple is 134.1%, which is higher, thus better compared to the benchmark SPY (66.1%) in the same period.
- During the last 3 years, the total return, or performance is 116.3%, which is larger, thus better than the value of 46.2% 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.'

Which means for our asset as example:- Looking at the compounded annual growth rate (CAGR) of 18.6% in the last 5 years of Apple, we see it is relatively higher, thus better in comparison to the benchmark SPY (10.7%)
- During the last 3 years, the annual performance (CAGR) is 29.4%, which is larger, thus better than the value of 13.5% from the benchmark.

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

Applying this definition to our asset in some examples:- The 30 days standard deviation over 5 years of Apple is 24.6%, which is higher, thus worse compared to the benchmark SPY (13.4%) in the same period.
- During the last 3 years, the 30 days standard deviation is 24.1%, which is greater, thus worse than the value of 12.3% from the benchmark.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside deviation of 25.7% of Apple is larger, thus worse.
- Looking at downside risk in of 25.4% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (13.9%).

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Which means for our asset as example:- Looking at the risk / return profile (Sharpe) of 0.65 in the last 5 years of Apple, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.61)
- Compared with SPY (0.9) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.11 is higher, thus better.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Which means for our asset as example:- Looking at the excess return divided by the downside deviation of 0.62 in the last 5 years of Apple, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.56)
- Compared with SPY (0.8) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.06 is greater, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (3.99 ) in the period of the last 5 years, the Ulcer Ratio of 13 of Apple is higher, thus worse.
- Looking at Downside risk index in of 11 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (4.04 ).

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum reduction from previous high of -38.5 days of Apple is smaller, thus worse.
- During the last 3 years, the maximum DrawDown is -38.5 days, which is lower, thus worse than the value of -19.3 days from the benchmark.

'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'

Applying this definition to our asset in some examples:- Looking at the maximum time in days below previous high water mark of 426 days in the last 5 years of Apple, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 196 days is larger, thus worse.

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. 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.'

Which means for our asset as example:- Looking at the average days under water of 104 days in the last 5 years of Apple, we see it is relatively higher, thus worse in comparison to the benchmark SPY (41 days)
- Looking at average days under water in of 40 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (36 days).

Historical returns have been extended using synthetic data.
[Show Details]

- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Apple 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.