'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.'

Which means for our asset as example:- The total return, or performance over 5 years of Take-Two Interactive Software is 431.8%, which is larger, thus better compared to the benchmark SPY (68.7%) in the same period.
- Looking at total return in of 185.3% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (47.9%).

'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:- The annual performance (CAGR) over 5 years of Take-Two Interactive Software is 39.7%, which is higher, thus better compared to the benchmark SPY (11%) in the same period.
- Looking at annual performance (CAGR) in of 42% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (14%).

'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:- Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the historical 30 days volatility of 34.1% of Take-Two Interactive Software is larger, thus worse.
- Compared with SPY (12.5%) in the period of the last 3 years, the volatility of 35.5% is higher, thus worse.

'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.'

Which means for our asset as example:- Looking at the downside risk of 33.8% in the last 5 years of Take-Two Interactive Software, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.6%)
- During the last 3 years, the downside risk is 36.8%, which is larger, thus worse than the value of 14.2% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.64) in the period of the last 5 years, the risk / return profile (Sharpe) of 1.09 of Take-Two Interactive Software is greater, thus better.
- During the last 3 years, the Sharpe Ratio is 1.11, which is higher, thus better than the value of 0.91 from the benchmark.

'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:- Looking at the excess return divided by the downside deviation of 1.1 in the last 5 years of Take-Two Interactive Software, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.58)
- Looking at downside risk / excess return profile in of 1.07 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (0.81).

'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:- Looking at the Downside risk index of 12 in the last 5 years of Take-Two Interactive Software, we see it is relatively higher, thus better in comparison to the benchmark SPY (3.96 )
- Looking at Downside risk index in of 14 in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (4.01 ).

'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:- Compared with the benchmark SPY (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -38.7 days of Take-Two Interactive Software is smaller, thus worse.
- During the last 3 years, the maximum drop from peak to valley is -38.7 days, which is lower, thus worse than the value of -19.3 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 160 days of Take-Two Interactive Software is lower, thus better.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 160 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.'

Using this definition on our asset we see for example:- The average days below previous high over 5 years of Take-Two Interactive Software is 32 days, which is smaller, thus better compared to the benchmark SPY (41 days) in the same period.
- Looking at average days under water in of 36 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (36 days).

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 Take-Two Interactive Software 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.