'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Using this definition on our asset we see for example:- The total return over 5 years of Walmart is 51.8%, which is lower, thus worse compared to the benchmark SPY (68.7%) in the same period.
- Compared with SPY (47.9%) in the period of the last 3 years, the total return, or increase in value of 55.8% is greater, thus better.

'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 annual return (CAGR) of 8.7% in the last 5 years of Walmart, we see it is relatively lower, thus worse in comparison to the benchmark SPY (11%)
- During the last 3 years, the compounded annual growth rate (CAGR) is 16%, which is greater, thus better than the value of 14% 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.'

Which means for our asset as example:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the 30 days standard deviation of 19.5% of Walmart is larger, thus worse.
- Looking at volatility in of 19.2% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.5%).

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Which means for our asset as example:- The downside risk over 5 years of Walmart is 20.2%, which is higher, thus worse compared to the benchmark SPY (14.6%) in the same period.
- Looking at downside deviation in of 19.8% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (14.2%).

'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:- The ratio of return and volatility (Sharpe) over 5 years of Walmart is 0.32, which is lower, thus worse compared to the benchmark SPY (0.64) in the same period.
- Compared with SPY (0.91) in the period of the last 3 years, the Sharpe Ratio of 0.7 is smaller, thus worse.

'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:- Compared with the benchmark SPY (0.58) in the period of the last 5 years, the excess return divided by the downside deviation of 0.31 of Walmart is smaller, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.68 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.81).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Using this definition on our asset we see for example:- The Downside risk index over 5 years of Walmart is 16 , which is greater, thus better compared to the benchmark SPY (3.96 ) in the same period.
- During the last 3 years, the Ulcer Index is 10 , which is greater, thus better than the value of 4.01 from the benchmark.

'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.'

Which means for our asset as example:- Looking at the maximum drop from peak to valley of -36.4 days in the last 5 years of Walmart, we see it is relatively lower, thus worse in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum drop from peak to valley in of -23.9 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-19.3 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.'

Using this definition on our asset we see for example:- The maximum days below previous high over 5 years of Walmart is 693 days, which is higher, thus worse compared to the benchmark SPY (187 days) in the same period.
- Looking at maximum time in days below previous high water mark in of 329 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 days).

'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.'

Applying this definition to our asset in some examples:- Looking at the average days under water of 246 days in the last 5 years of Walmart, we see it is relatively greater, thus worse in comparison to the benchmark SPY (41 days)
- During the last 3 years, the average time in days below previous high water mark is 102 days, which is larger, thus worse than the value of 36 days from the benchmark.

Historical returns have been extended using synthetic data.
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- "Year" returns in the table above are not equal to the sum of monthly returns due to compounding.
- Performance results of Walmart 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.