'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (67.9%) in the period of the last 5 years, the total return, or performance of 221.4% of Synopsys is higher, thus better.
- During the last 3 years, the total return, or performance is 149.7%, which is larger, thus better than the value of 46.6% from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.9%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 26.3% of Synopsys is higher, thus better.
- Looking at annual performance (CAGR) in of 35.7% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (13.6%).

'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 19.8% of Synopsys is larger, thus worse.
- During the last 3 years, the historical 30 days volatility is 20%, which is greater, thus worse than the value of 12.5% from the benchmark.

'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:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside volatility of 22.1% of Synopsys is larger, thus worse.
- Compared with SPY (14.2%) in the period of the last 3 years, the downside volatility of 22.4% is higher, thus worse.

'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.'

Using this definition on our asset we see for example:- Looking at the risk / return profile (Sharpe) of 1.2 in the last 5 years of Synopsys, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.64)
- Looking at risk / return profile (Sharpe) in of 1.66 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.89).

'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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of 1.08 in the last 5 years of Synopsys, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.58)
- Looking at excess return divided by the downside deviation in of 1.48 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.78).

'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 (3.96 ) in the period of the last 5 years, the Downside risk index of 6.57 of Synopsys is larger, thus better.
- Compared with SPY (4.01 ) in the period of the last 3 years, the Ulcer Ratio of 5.74 is larger, thus better.

'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.'

Which means for our asset as example:- The maximum drop from peak to valley 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.
- During the last 3 years, the maximum drop from peak to valley is -22.9 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:- Looking at the maximum time in days below previous high water mark of 137 days in the last 5 years of Synopsys, we see it is relatively lower, thus better in comparison to the benchmark SPY (187 days)
- During the last 3 years, the maximum days below previous high is 137 days, which is lower, thus better than the value of 139 days from the benchmark.

'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 31 days in the last 5 years of Synopsys, we see it is relatively smaller, thus better in comparison to the benchmark SPY (41 days)
- Looking at average days below previous high in of 30 days in the period of the last 3 years, we see it is relatively lower, thus better 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 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.