'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, or increase in value over 5 years of Synopsys is 201%, which is greater, thus better compared to the benchmark SPY (62.4%) in the same period.
- During the last 3 years, the total return is 97.1%, which is higher, thus better than the value of 39.3% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.2%) in the period of the last 5 years, the annual return (CAGR) of 24.7% of Synopsys is larger, thus better.
- Compared with SPY (11.7%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 25.4% is greater, 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 (13.5%) in the period of the last 5 years, the 30 days standard deviation of 21.5% of Synopsys is greater, thus worse.
- Compared with SPY (13.2%) in the period of the last 3 years, the volatility of 22.5% is larger, thus worse.

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

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (9.8%) in the period of the last 5 years, the downside deviation of 15.4% of Synopsys is higher, thus worse.
- During the last 3 years, the downside deviation is 16%, which is higher, thus worse than the value of 9.8% 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.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 1.03 in the last 5 years of Synopsys, we see it is relatively larger, thus better in comparison to the benchmark SPY (0.57)
- Compared with SPY (0.69) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.02 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.'

Which means for our asset as example:- Compared with the benchmark SPY (0.78) in the period of the last 5 years, the downside risk / excess return profile of 1.44 of Synopsys is higher, thus better.
- During the last 3 years, the ratio of annual return and downside deviation is 1.44, which is greater, thus better than the value of 0.94 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.'

Which means for our asset as example:- The Downside risk index over 5 years of Synopsys is 6.74 , which is higher, thus worse compared to the benchmark SPY (3.98 ) in the same period.
- Compared with SPY (4.12 ) in the period of the last 3 years, the Ulcer Ratio of 6.21 is larger, thus worse.

'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.'

Which means for our asset as example:- The maximum DrawDown over 5 years of Synopsys is -22.9 days, which is smaller, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- Compared with SPY (-19.3 days) in the period of the last 3 years, the maximum drop from peak to valley of -22.9 days is lower, thus worse.

'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.'

Which means for our asset as example:- 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 137 days of Synopsys is lower, thus better.
- Looking at maximum days below previous high in of 137 days in the period of the last 3 years, we see it is relatively lower, 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:- Looking at the average time in days below previous high water mark of 32 days in the last 5 years of Synopsys, we see it is relatively lower, thus better in comparison to the benchmark SPY (42 days)
- Looking at average days under water in of 33 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (37 days).

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.