'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (115.6%) in the period of the last 5 years, the total return, or performance of 500.4% of Take-Two Interactive is higher, thus better.
- Looking at total return in of 67.3% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (43%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (16.6%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 43.1% of Take-Two Interactive is larger, thus better.
- Compared with SPY (12.6%) in the period of the last 3 years, the annual return (CAGR) of 18.7% is higher, thus better.

'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:- The volatility over 5 years of Take-Two Interactive is 35.6%, which is larger, thus worse compared to the benchmark SPY (18.8%) in the same period.
- During the last 3 years, the volatility is 38.9%, which is higher, thus worse than the value of 22.8% from the benchmark.

'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:- Looking at the downside deviation of 24.2% in the last 5 years of Take-Two Interactive, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.6%)
- Looking at downside volatility in of 27.9% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (16.7%).

'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.'

Applying this definition to our asset in some examples:- The ratio of return and volatility (Sharpe) over 5 years of Take-Two Interactive is 1.14, which is greater, thus better compared to the benchmark SPY (0.75) in the same period.
- Compared with SPY (0.44) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.42 is lower, thus worse.

'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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of 1.68 in the last 5 years of Take-Two Interactive, we see it is relatively greater, thus better in comparison to the benchmark SPY (1.04)
- During the last 3 years, the ratio of annual return and downside deviation is 0.58, which is lower, thus worse than the value of 0.61 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.'

Applying this definition to our asset in some examples:- Looking at the Ulcer Ratio of 12 in the last 5 years of Take-Two Interactive, we see it is relatively higher, thus worse in comparison to the benchmark SPY (5.59 )
- Compared with SPY (7.14 ) in the period of the last 3 years, the Downside risk index of 16 is larger, thus worse.

'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.'

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 -38.7 days of Take-Two Interactive is lower, thus worse.
- Looking at maximum DrawDown in of -38.7 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-33.7 days).

'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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Which means for our asset as example:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days below previous high of 410 days of Take-Two Interactive is higher, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 410 days is higher, 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.'

Which means for our asset as example:- Looking at the average time in days below previous high water mark of 89 days in the last 5 years of Take-Two Interactive, we see it is relatively greater, thus worse in comparison to the benchmark SPY (33 days)
- Compared with SPY (45 days) in the period of the last 3 years, the average days under water of 133 days is larger, thus worse.

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.