'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:- The total return, or increase in value over 5 years of Applied Materials is 152.4%, which is larger, thus better compared to the benchmark SPY (63%) in the same period.
- Compared with SPY (33.5%) in the period of the last 3 years, the total return of 107% is larger, thus better.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (10.3%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 20.4% of Applied Materials is greater, thus better.
- Looking at compounded annual growth rate (CAGR) in of 27.4% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (10.1%).

'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 Applied Materials is 46.7%, which is greater, thus worse compared to the benchmark SPY (21.6%) in the same period.
- Compared with SPY (25.1%) in the period of the last 3 years, the historical 30 days volatility of 51.8% is larger, thus worse.

'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:- Looking at the downside deviation of 32.5% in the last 5 years of Applied Materials, we see it is relatively higher, thus worse in comparison to the benchmark SPY (15.6%)
- During the last 3 years, the downside risk is 36.1%, which is higher, thus worse than the value of 18.1% from the benchmark.

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

Which means for our asset as example:- Looking at the risk / return profile (Sharpe) of 0.38 in the last 5 years of Applied Materials, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.36)
- Looking at risk / return profile (Sharpe) in of 0.48 in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (0.3).

'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:- Looking at the excess return divided by the downside deviation of 0.55 in the last 5 years of Applied Materials, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.5)
- Looking at excess return divided by the downside deviation in of 0.69 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.42).

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

Which means for our asset as example:- Compared with the benchmark SPY (8.88 ) in the period of the last 5 years, the Ulcer Ratio of 25 of Applied Materials is greater, thus worse.
- Looking at Ulcer Ratio in of 23 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (11 ).

'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 drop from peak to valley over 5 years of Applied Materials is -55.1 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Compared with SPY (-33.7 days) in the period of the last 3 years, the maximum reduction from previous high of -55.1 days is smaller, 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:- Compared with the benchmark SPY (273 days) in the period of the last 5 years, the maximum days under water of 425 days of Applied Materials is higher, thus worse.
- During the last 3 years, the maximum days under water is 264 days, which is smaller, thus better than the value of 273 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.'

Applying this definition to our asset in some examples:- Looking at the average time in days below previous high water mark of 120 days in the last 5 years of Applied Materials, we see it is relatively larger, thus worse in comparison to the benchmark SPY (57 days)
- Compared with SPY (73 days) in the period of the last 3 years, the average time in days below previous high water mark of 74 days is greater, 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 Applied Materials 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.