'Total return, when measuring performance, is the actual rate of return of an investment or a pool of investments over a given evaluation period. Total return includes interest, capital gains, dividends and distributions realized over a given period of time. Total return accounts for two categories of return: income including interest paid by fixed-income investments, distributions or dividends and capital appreciation, representing the change in the market price of an asset.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (60.6%) in the period of the last 5 years, the total return, or increase in value of 74.2% of Exxon Mobil is higher, thus better.
- Looking at total return, or performance in of 265% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (38%).

'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 11.8% in the last 5 years of Exxon Mobil, we see it is relatively larger, thus better in comparison to the benchmark SPY (10%)
- Compared with SPY (11.3%) in the period of the last 3 years, the annual performance (CAGR) of 54% is higher, thus better.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (21.5%) in the period of the last 5 years, the 30 days standard deviation of 34.3% of Exxon Mobil is larger, thus worse.
- Compared with SPY (17.9%) in the period of the last 3 years, the 30 days standard deviation of 32.6% is greater, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (15.5%) in the period of the last 5 years, the downside volatility of 23.6% of Exxon Mobil is higher, thus worse.
- Compared with SPY (12.5%) in the period of the last 3 years, the downside deviation of 20.9% is greater, thus worse.

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 0.27 in the last 5 years of Exxon Mobil, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.35)
- During the last 3 years, the Sharpe Ratio is 1.58, which is greater, thus better than the value of 0.49 from the benchmark.

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Applying this definition to our asset in some examples:- Looking at the downside risk / excess return profile of 0.39 in the last 5 years of Exxon Mobil, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.48)
- Looking at ratio of annual return and downside deviation in of 2.47 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.71).

'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.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 24 in the last 5 years of Exxon Mobil, we see it is relatively greater, thus worse in comparison to the benchmark SPY (9.55 )
- Looking at Ulcer Index in of 7.63 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (10 ).

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum DrawDown of -61 days of Exxon Mobil is smaller, thus worse.
- Looking at maximum reduction from previous high in of -20.5 days in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (-24.5 days).

'The Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Applying this definition to our asset in some examples:- The maximum days under water over 5 years of Exxon Mobil is 833 days, which is higher, thus worse compared to the benchmark SPY (431 days) in the same period.
- Looking at maximum days under water in of 92 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (431 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:- The average days below previous high over 5 years of Exxon Mobil is 297 days, which is higher, thus worse compared to the benchmark SPY (105 days) in the same period.
- Looking at average days below previous high in of 26 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (144 days).

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 Exxon Mobil 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.