'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (115.6%) in the period of the last 5 years, the total return, or increase in value of 248.8% of Analog Devices is higher, thus better.
- During the last 3 years, the total return, or increase in value is 82.2%, which is higher, thus better than the value of 43% from the benchmark.

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

Applying this definition to our asset in some examples:- Looking at the annual return (CAGR) of 28.4% in the last 5 years of Analog Devices, we see it is relatively greater, thus better in comparison to the benchmark SPY (16.6%)
- Looking at annual return (CAGR) in of 22.1% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (12.6%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (18.8%) in the period of the last 5 years, the 30 days standard deviation of 31.7% of Analog Devices is greater, thus worse.
- During the last 3 years, the 30 days standard deviation is 36.9%, which is larger, thus worse than the value of 22.8% 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.'

Applying this definition to our asset in some examples:- The downside risk over 5 years of Analog Devices is 21.9%, which is higher, thus worse compared to the benchmark SPY (13.6%) in the same period.
- Looking at downside volatility in of 25.6% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (16.7%).

'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:- The Sharpe Ratio over 5 years of Analog Devices is 0.82, which is higher, thus better compared to the benchmark SPY (0.75) in the same period.
- Compared with SPY (0.44) in the period of the last 3 years, the risk / return profile (Sharpe) of 0.53 is higher, 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.'

Applying this definition to our asset in some examples:- The downside risk / excess return profile over 5 years of Analog Devices is 1.18, which is larger, thus better compared to the benchmark SPY (1.04) in the same period.
- Looking at ratio of annual return and downside deviation in of 0.76 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.61).

'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:- Looking at the Ulcer Ratio of 7.9 in the last 5 years of Analog Devices, we see it is relatively larger, thus worse in comparison to the benchmark SPY (5.59 )
- Looking at Ulcer Ratio in of 9.58 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (7.14 ).

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- The maximum drop from peak to valley over 5 years of Analog Devices is -33.6 days, which is higher, thus better compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -33.6 days in the period of the last 3 years, we see it is relatively greater, thus better 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) in days.'

Using this definition on our asset we see for example:- Looking at the maximum days below previous high of 163 days in the last 5 years of Analog Devices, we see it is relatively greater, thus worse in comparison to the benchmark SPY (139 days)
- During the last 3 years, the maximum days below previous high is 163 days, which is larger, thus worse 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:- The average days below previous high over 5 years of Analog Devices is 41 days, which is greater, thus worse compared to the benchmark SPY (33 days) in the same period.
- Looking at average time in days below previous high water mark in of 52 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (45 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 Analog Devices 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.