'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:- The total return over 5 years of Take-Two Interactive is 301.1%, which is larger, thus better compared to the benchmark SPY (133.2%) in the same period.
- Compared with SPY (80.4%) in the period of the last 3 years, the total return of 50.7% is lower, thus worse.

'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:- The annual return (CAGR) over 5 years of Take-Two Interactive is 32.1%, which is higher, thus better compared to the benchmark SPY (18.5%) in the same period.
- Compared with SPY (21.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 14.7% is lower, thus worse.

'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 30 days standard deviation over 5 years of Take-Two Interactive is 35.7%, which is higher, thus worse compared to the benchmark SPY (18.7%) in the same period.
- Looking at volatility in of 37% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (22.4%).

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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.'

Applying this definition to our asset in some examples:- The downside risk over 5 years of Take-Two Interactive is 24.7%, which is higher, thus worse compared to the benchmark SPY (13.6%) in the same period.
- Looking at downside risk in of 26.7% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (16.2%).

'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:- The risk / return profile (Sharpe) over 5 years of Take-Two Interactive is 0.83, which is lower, thus worse compared to the benchmark SPY (0.85) in the same period.
- Compared with SPY (0.86) in the period of the last 3 years, the Sharpe Ratio of 0.33 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.'

Which means for our asset as example:- Looking at the downside risk / excess return profile of 1.2 in the last 5 years of Take-Two Interactive, we see it is relatively larger, thus better in comparison to the benchmark SPY (1.18)
- During the last 3 years, the excess return divided by the downside deviation is 0.46, which is lower, thus worse than the value of 1.19 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (5.59 ) in the period of the last 5 years, the Ulcer Ratio of 14 of Take-Two Interactive is higher, thus worse.
- Looking at Ulcer Index in of 15 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (6.36 ).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -38.7 days of Take-Two Interactive is lower, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -34.3 days, which is smaller, 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:- The maximum days below previous high over 5 years of Take-Two Interactive is 410 days, which is higher, thus worse compared to the benchmark SPY (139 days) in the same period.
- Compared with SPY (119 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 189 days is larger, thus worse.

'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:- The average time in days below previous high water mark over 5 years of Take-Two Interactive is 100 days, which is greater, thus worse compared to the benchmark SPY (32 days) in the same period.
- During the last 3 years, the average days under water is 78 days, which is greater, thus worse than the value of 25 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 Take-Two Interactive 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.