'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (61.3%) in the period of the last 5 years, the total return of 61% of Dollar Tree is lower, thus worse.
- Compared with SPY (31.6%) in the period of the last 3 years, the total return, or increase in value of 20.7% is smaller, thus worse.

'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:- Compared with the benchmark SPY (10%) in the period of the last 5 years, the annual return (CAGR) of 10% of Dollar Tree is greater, thus better.
- Looking at compounded annual growth rate (CAGR) in of 6.5% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (9.6%).

'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.'

Applying this definition to our asset in some examples:- Looking at the volatility of 37.8% in the last 5 years of Dollar Tree, we see it is relatively higher, thus worse in comparison to the benchmark SPY (20.8%)
- Compared with SPY (24%) in the period of the last 3 years, the historical 30 days volatility of 42.1% is larger, thus worse.

'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:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside risk of 26.6% of Dollar Tree is higher, thus worse.
- Looking at downside deviation in of 28.5% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.6%).

'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.'

Which means for our asset as example:- The risk / return profile (Sharpe) over 5 years of Dollar Tree is 0.2, which is lower, thus worse compared to the benchmark SPY (0.36) in the same period.
- Compared with SPY (0.3) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.09 is lower, 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 (0.49) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.28 of Dollar Tree is lower, thus worse.
- Looking at downside risk / excess return profile in of 0.14 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.4).

'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:- Looking at the Ulcer Ratio of 18 in the last 5 years of Dollar Tree, we see it is relatively greater, thus worse in comparison to the benchmark SPY (7.61 )
- Looking at Downside risk index in of 18 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (8.93 ).

'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.'

Which means for our asset as example:- Looking at the maximum reduction from previous high of -44.6 days in the last 5 years of Dollar Tree, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum reduction from previous high is -44.6 days, which is smaller, thus worse than the value of -33.7 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.'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 430 days in the last 5 years of Dollar Tree, we see it is relatively higher, thus worse in comparison to the benchmark SPY (185 days)
- Looking at maximum time in days below previous high water mark in of 363 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (185 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (46 days) in the period of the last 5 years, the average time in days below previous high water mark of 150 days of Dollar Tree is higher, thus worse.
- During the last 3 years, the average days below previous high is 119 days, which is higher, thus worse than the value of 44 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 Dollar Tree 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.