'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (57.1%) in the period of the last 5 years, the total return of 273.2% of Applied Materials is higher, thus better.
- Compared with SPY (32%) in the period of the last 3 years, the total return, or increase in value of 141.1% is larger, thus better.

'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.'

Which means for our asset as example:- The annual performance (CAGR) over 5 years of Applied Materials is 30.2%, which is larger, thus better compared to the benchmark SPY (9.5%) in the same period.
- During the last 3 years, the annual return (CAGR) is 34.2%, which is higher, thus better than the value of 9.7% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (21.5%) in the period of the last 5 years, the volatility of 46.3% of Applied Materials is higher, thus worse.
- Looking at historical 30 days volatility in of 43.6% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.9%).

'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 (15.5%) in the period of the last 5 years, the downside deviation of 31.7% of Applied Materials is higher, thus worse.
- Looking at downside deviation in of 29.1% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (12.5%).

'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.'

Applying this definition to our asset in some examples:- Looking at the ratio of return and volatility (Sharpe) of 0.6 in the last 5 years of Applied Materials, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.32)
- During the last 3 years, the Sharpe Ratio is 0.73, which is greater, thus better than the value of 0.41 from the benchmark.

'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:- The ratio of annual return and downside deviation over 5 years of Applied Materials is 0.87, which is higher, thus better compared to the benchmark SPY (0.45) in the same period.
- Compared with SPY (0.58) in the period of the last 3 years, the ratio of annual return and downside deviation of 1.09 is larger, thus better.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (9.57 ) in the period of the last 5 years, the Downside risk index of 20 of Applied Materials is larger, thus worse.
- Looking at Ulcer Ratio in of 24 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

'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 DrawDown over 5 years of Applied Materials is -55.1 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum reduction from previous high in of -55.1 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-24.5 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Applying this definition to our asset in some examples:- The maximum days under water over 5 years of Applied Materials is 430 days, which is smaller, thus better compared to the benchmark SPY (439 days) in the same period.
- During the last 3 years, the maximum days under water is 430 days, which is lower, thus better than the value of 439 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.'

Using this definition on our asset we see for example:- Looking at the average days below previous high of 98 days in the last 5 years of Applied Materials, we see it is relatively lower, thus better in comparison to the benchmark SPY (106 days)
- Looking at average days under water in of 143 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (149 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 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.