'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:- Compared with the benchmark SPY (62.7%) in the period of the last 5 years, the total return, or performance of 80.7% of Ulta Beauty is larger, thus better.
- During the last 3 years, the total return, or performance is 61.2%, which is greater, thus better than the value of 34.7% from the benchmark.

'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:- Looking at the annual return (CAGR) of 12.6% in the last 5 years of Ulta Beauty, we see it is relatively greater, thus better in comparison to the benchmark SPY (10.2%)
- Compared with SPY (10.5%) in the period of the last 3 years, the annual return (CAGR) of 17.3% is larger, thus better.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (20.9%) in the period of the last 5 years, the historical 30 days volatility of 44.1% of Ulta Beauty is greater, thus worse.
- During the last 3 years, the historical 30 days volatility is 47.3%, which is higher, thus worse than the value of 24.1% from the benchmark.

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

Using this definition on our asset we see for example:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside volatility of 31.1% of Ulta Beauty is higher, thus worse.
- Looking at downside volatility in of 31.6% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (17.6%).

'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 risk / return profile (Sharpe) over 5 years of Ulta Beauty is 0.23, which is lower, thus worse compared to the benchmark SPY (0.37) in the same period.
- Looking at risk / return profile (Sharpe) in of 0.31 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.33).

'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:- Looking at the excess return divided by the downside deviation of 0.32 in the last 5 years of Ulta Beauty, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.51)
- Looking at downside risk / excess return profile in of 0.47 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.45).

'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.'

Which means for our asset as example:- The Ulcer Index over 5 years of Ulta Beauty is 21 , which is greater, thus worse compared to the benchmark SPY (7.71 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 16 , which is higher, thus worse than the value of 9.08 from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum drop from peak to valley of -64.9 days of Ulta Beauty is lower, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -57.4 days, which is lower, thus worse than the value of -33.7 days from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (189 days) in the period of the last 5 years, the maximum days below previous high of 521 days of Ulta Beauty is larger, thus worse.
- Looking at maximum days below previous high in of 227 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (189 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.'

Which means for our asset as example:- Looking at the average days below previous high of 128 days in the last 5 years of Ulta Beauty, we see it is relatively greater, thus worse in comparison to the benchmark SPY (46 days)
- During the last 3 years, the average days under water is 54 days, which is greater, thus worse than the value of 45 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 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.