'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:- Looking at the total return, or increase in value of 129.5% in the last 5 years of Walmart, we see it is relatively higher, thus better in comparison to the benchmark SPY (121.2%)
- Compared with SPY (67.5%) in the period of the last 3 years, the total return of 70.9% is higher, 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:- The annual performance (CAGR) over 5 years of Walmart is 18.1%, which is higher, thus better compared to the benchmark SPY (17.2%) in the same period.
- Looking at annual return (CAGR) in of 19.5% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (18.7%).

'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.'

Using this definition on our asset we see for example:- Looking at the volatility of 22.3% in the last 5 years of Walmart, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.7%)
- During the last 3 years, the historical 30 days volatility is 23.5%, which is larger, thus worse than the value of 22.5% from the benchmark.

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

Applying this definition to our asset in some examples:- Looking at the downside volatility of 14.3% in the last 5 years of Walmart, we see it is relatively larger, thus worse in comparison to the benchmark SPY (13.6%)
- During the last 3 years, the downside deviation is 14.6%, which is smaller, thus better than the value of 16.3% from the benchmark.

'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:- Compared with the benchmark SPY (0.79) in the period of the last 5 years, the Sharpe Ratio of 0.7 of Walmart is lower, thus worse.
- During the last 3 years, the Sharpe Ratio is 0.73, which is higher, thus better than the value of 0.72 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (1.08) in the period of the last 5 years, the downside risk / excess return profile of 1.09 of Walmart is higher, thus better.
- During the last 3 years, the excess return divided by the downside deviation is 1.17, which is higher, thus better than the value of 1 from the benchmark.

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

Applying this definition to our asset in some examples:- The Ulcer Index over 5 years of Walmart is 8.42 , which is greater, thus worse compared to the benchmark SPY (5.59 ) in the same period.
- Looking at Downside risk index in of 5.46 in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (6.83 ).

'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.'

Using this definition on our asset we see for example:- The maximum reduction from previous high over 5 years of Walmart is -23.9 days, which is larger, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -18.3 days in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (-33.7 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) in days.'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 340 days of Walmart is higher, thus worse.
- During the last 3 years, the maximum days under water is 139 days, which is higher, thus worse than the value of 139 days from the benchmark.

'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:- The average days under water over 5 years of Walmart is 74 days, which is greater, thus worse compared to the benchmark SPY (33 days) in the same period.
- During the last 3 years, the average time in days below previous high water mark is 33 days, which is smaller, thus better than the value of 35 days from the benchmark.

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 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.