'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:- Compared with the benchmark SPY (121.2%) in the period of the last 5 years, the total return, or increase in value of 442.8% of Synopsys is higher, thus better.
- Compared with SPY (67.5%) in the period of the last 3 years, the total return, or increase in value of 221.7% is higher, thus better.

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (17.2%) in the period of the last 5 years, the annual return (CAGR) of 40.3% of Synopsys is greater, thus better.
- Looking at annual return (CAGR) in of 47.5% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (18.7%).

'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.'

Using this definition on our asset we see for example:- The 30 days standard deviation over 5 years of Synopsys is 27.9%, which is larger, thus worse compared to the benchmark SPY (18.7%) in the same period.
- Compared with SPY (22.5%) in the period of the last 3 years, the volatility of 33.1% is greater, thus worse.

'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 risk of 19.2% in the last 5 years of Synopsys, we see it is relatively greater, thus worse in comparison to the benchmark SPY (13.6%)
- Compared with SPY (16.3%) in the period of the last 3 years, the downside volatility of 22.7% is larger, thus worse.

'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.'

Which means for our asset as example:- Looking at the risk / return profile (Sharpe) of 1.36 in the last 5 years of Synopsys, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.79)
- Compared with SPY (0.72) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.36 is greater, thus better.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (1.08) in the period of the last 5 years, the downside risk / excess return profile of 1.97 of Synopsys is higher, thus better.
- Looking at downside risk / excess return profile in of 1.98 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (1).

'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:- Compared with the benchmark SPY (5.59 ) in the period of the last 5 years, the Downside risk index of 7.07 of Synopsys is larger, thus worse.
- Looking at Ulcer Ratio in of 8.56 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (6.83 ).

'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 DrawDown over 5 years of Synopsys is -34.3 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -34.3 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'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (139 days) in the period of the last 5 years, the maximum days under water of 137 days of Synopsys is lower, thus better.
- Looking at maximum days under water in of 107 days in the period of the last 3 years, we see it is relatively smaller, thus better in comparison to SPY (139 days).

'The Average 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. 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:- The average time in days below previous high water mark over 5 years of Synopsys is 26 days, which is lower, thus better compared to the benchmark SPY (33 days) in the same period.
- During the last 3 years, the average days below previous high is 24 days, which is lower, thus better than the value of 35 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 Synopsys 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.