'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:- Looking at the total return, or increase in value of 171.8% in the last 5 years of ASML Holding, we see it is relatively larger, thus better in comparison to the benchmark SPY (66%)
- Compared with SPY (45.6%) in the period of the last 3 years, the total return of 122.4% 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 annual performance (CAGR) over 5 years of ASML Holding is 22.2%, which is larger, thus better compared to the benchmark SPY (10.7%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 30.5%, which is larger, thus better than the value of 13.3% from the benchmark.

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (13.4%) in the period of the last 5 years, the volatility of 28.8% of ASML Holding is larger, thus worse.
- Compared with SPY (12.3%) in the period of the last 3 years, the volatility of 28.3% is larger, thus worse.

'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 ASML Holding is 29.8%, which is greater, thus worse compared to the benchmark SPY (14.6%) in the same period.
- Looking at downside risk in of 30.3% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (13.8%).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.61) in the period of the last 5 years, the Sharpe Ratio of 0.68 of ASML Holding is larger, thus better.
- During the last 3 years, the Sharpe Ratio is 0.99, which is greater, thus better than the value of 0.88 from the benchmark.

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (0.56) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.66 of ASML Holding is higher, thus better.
- Looking at downside risk / excess return profile in of 0.93 in the period of the last 3 years, we see it is relatively larger, 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.'

Applying this definition to our asset in some examples:- The Ulcer Ratio over 5 years of ASML Holding is 12 , which is larger, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- During the last 3 years, the Ulcer Ratio is 11 , which is larger, thus worse than the value of 4.04 from the benchmark.

'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 ASML Holding is -34.3 days, which is lower, thus worse compared to the benchmark SPY (-19.3 days) in the same period.
- Looking at maximum DrawDown in of -34.3 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-19.3 days).

'The Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Which means for our asset as example:- Compared with the benchmark SPY (187 days) in the period of the last 5 years, the maximum days under water of 408 days of ASML Holding is higher, thus worse.
- During the last 3 years, the maximum days below previous high is 247 days, which is higher, 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.'

Applying this definition to our asset in some examples:- The average days under water over 5 years of ASML Holding is 105 days, which is greater, thus worse compared to the benchmark SPY (41 days) in the same period.
- Compared with SPY (36 days) in the period of the last 3 years, the average time in days below previous high water mark of 59 days is larger, thus worse.

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 ASML Holding 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.