'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.'

Which means for our asset as example:- Compared with the benchmark SPY (66.1%) in the period of the last 5 years, the total return of 310.5% of Ulta Beauty is larger, thus better.
- Looking at total return in of 43.2% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (46.2%).

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of Ulta Beauty is 32.7%, which is greater, thus better compared to the benchmark SPY (10.7%) in the same period.
- Looking at annual return (CAGR) in of 12.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (13.5%).

'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:- Looking at the 30 days standard deviation of 30% in the last 5 years of Ulta Beauty, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.4%)
- Looking at historical 30 days volatility in of 29.6% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (12.3%).

'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.'

Using this definition on our asset we see for example:- Looking at the downside volatility of 28.4% in the last 5 years of Ulta Beauty, we see it is relatively greater, thus worse in comparison to the benchmark SPY (14.6%)
- Looking at downside deviation in of 29.9% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (13.9%).

'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:- Compared with the benchmark SPY (0.61) in the period of the last 5 years, the Sharpe Ratio of 1 of Ulta Beauty is larger, thus better.
- Looking at Sharpe Ratio in of 0.35 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.9).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.56) in the period of the last 5 years, the excess return divided by the downside deviation of 1.06 of Ulta Beauty is higher, thus better.
- Looking at excess return divided by the downside deviation in of 0.34 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.8).

'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.'

Which means for our asset as example:- The Ulcer Index over 5 years of Ulta Beauty is 14 , which is larger, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- Looking at Ulcer Ratio in of 18 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (4.04 ).

'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.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of Ulta Beauty is -39.4 days, which is smaller, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum drop from peak to valley of -39.4 days is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 364 days in the last 5 years of Ulta Beauty, we see it is relatively greater, thus worse in comparison to the benchmark SPY (187 days)
- Looking at maximum days below previous high in of 364 days in the period of the last 3 years, we see it is relatively larger, 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:- Compared with the benchmark SPY (41 days) in the period of the last 5 years, the average time in days below previous high water mark of 75 days of Ulta Beauty is larger, thus worse.
- During the last 3 years, the average time in days below previous high water mark is 111 days, which is higher, 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 Ulta Beauty 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.