'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.'

Applying this definition to our asset in some examples:- Looking at the total return, or performance of 146.6% in the last 5 years of Costco Wholesale, we see it is relatively higher, thus better in comparison to the benchmark SPY (68.7%)
- During the last 3 years, the total return, or increase in value is 88.4%, which is higher, thus better than the value of 47.9% from the benchmark.

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (11%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 19.8% of Costco Wholesale is greater, thus better.
- During the last 3 years, the compounded annual growth rate (CAGR) is 23.6%, which is higher, thus better than the value of 14% from the benchmark.

'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:- The historical 30 days volatility over 5 years of Costco Wholesale is 18.4%, which is larger, thus worse compared to the benchmark SPY (13.3%) in the same period.
- Compared with SPY (12.5%) in the period of the last 3 years, the 30 days standard deviation of 19.3% is higher, 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:- Looking at the downside risk of 20.1% in the last 5 years of Costco Wholesale, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.6%)
- Looking at downside deviation in of 21.8% in the period of the last 3 years, we see it is relatively larger, 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:- Compared with the benchmark SPY (0.64) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.94 of Costco Wholesale is greater, thus better.
- During the last 3 years, the Sharpe Ratio is 1.09, which is greater, thus better than the value of 0.91 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.'

Using this definition on our asset we see for example:- The excess return divided by the downside deviation over 5 years of Costco Wholesale is 0.86, which is larger, thus better compared to the benchmark SPY (0.58) in the same period.
- During the last 3 years, the excess return divided by the downside deviation is 0.97, which is greater, thus better than the value of 0.81 from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (3.96 ) in the period of the last 5 years, the Ulcer Ratio of 7.1 of Costco Wholesale is greater, thus better.
- Compared with SPY (4.01 ) in the period of the last 3 years, the Ulcer Index of 7.59 is greater, thus better.

'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.'

Which means for our asset as example:- The maximum DrawDown over 5 years of Costco Wholesale is -22 days, which is lower, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- During the last 3 years, the maximum drop from peak to valley is -22 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) in days.'

Applying this definition to our asset in some examples:- The maximum days under water over 5 years of Costco Wholesale is 152 days, which is lower, thus better compared to the benchmark SPY (187 days) in the same period.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days under water of 137 days is smaller, thus better.

'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:- Compared with the benchmark SPY (41 days) in the period of the last 5 years, the average days below previous high of 46 days of Costco Wholesale is larger, thus worse.
- During the last 3 years, the average time in days below previous high water mark is 44 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 Costco Wholesale 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.