'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.'

Which means for our asset as example:- Looking at the total return of 72.2% in the last 5 years of NXP Semiconductors N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (81.9%)
- Compared with SPY (46.1%) in the period of the last 3 years, the total return, or performance of 88.3% is greater, 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.'

Using this definition on our asset we see for example:- The compounded annual growth rate (CAGR) over 5 years of NXP Semiconductors N.V. is 11.5%, which is lower, thus worse compared to the benchmark SPY (12.7%) in the same period.
- During the last 3 years, the annual return (CAGR) is 23.5%, which is greater, thus better than the value of 13.5% from the benchmark.

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

Using this definition on our asset we see for example:- Looking at the historical 30 days volatility of 41.9% in the last 5 years of NXP Semiconductors N.V., we see it is relatively greater, thus worse in comparison to the benchmark SPY (19.8%)
- Looking at volatility in of 47% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (23%).

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

Using this definition on our asset we see for example:- The downside deviation over 5 years of NXP Semiconductors N.V. is 28.6%, which is larger, thus worse compared to the benchmark SPY (14.5%) in the same period.
- During the last 3 years, the downside risk is 32.4%, which is greater, thus worse than the value of 16.8% 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.'

Applying this definition to our asset in some examples:- Looking at the ratio of return and volatility (Sharpe) of 0.21 in the last 5 years of NXP Semiconductors N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.52)
- During the last 3 years, the risk / return profile (Sharpe) is 0.45, which is smaller, thus worse than the value of 0.48 from the benchmark.

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.7) in the period of the last 5 years, the excess return divided by the downside deviation of 0.31 of NXP Semiconductors N.V. is lower, thus worse.
- Looking at ratio of annual return and downside deviation in of 0.65 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.65).

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

Applying this definition to our asset in some examples:- The Downside risk index over 5 years of NXP Semiconductors N.V. is 18 , which is higher, thus worse compared to the benchmark SPY (6.08 ) in the same period.
- Looking at Ulcer Index in of 14 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (6.77 ).

'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:- Looking at the maximum DrawDown of -53.3 days in the last 5 years of NXP Semiconductors N.V., we see it is relatively lower, thus worse in comparison to the benchmark SPY (-33.7 days)
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum reduction from previous high of -53.3 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.'

Applying this definition to our asset in some examples:- The maximum time in days below previous high water mark over 5 years of NXP Semiconductors N.V. is 454 days, which is larger, thus worse compared to the benchmark SPY (139 days) in the same period.
- Compared with SPY (119 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 165 days is larger, thus worse.

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (35 days) in the period of the last 5 years, the average days under water of 113 days of NXP Semiconductors N.V. is higher, thus worse.
- Compared with SPY (27 days) in the period of the last 3 years, the average days below previous high of 41 days is higher, 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 NXP Semiconductors N.V. 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.