'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.'

Which means for our asset as example:- Looking at the total return, or increase in value of 23.6% in the last 5 years of Align Technology, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (62.7%)
- During the last 3 years, the total return, or performance is 26.6%, which is lower, thus worse than the value of 34.7% from the benchmark.

'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.'

Using this definition on our asset we see for example:- The annual performance (CAGR) over 5 years of Align Technology is 4.3%, which is lower, thus worse compared to the benchmark SPY (10.2%) in the same period.
- Looking at annual return (CAGR) in of 8.2% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (10.5%).

'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 (20.9%) in the period of the last 5 years, the historical 30 days volatility of 52.9% of Align Technology is higher, thus worse.
- During the last 3 years, the historical 30 days volatility is 56.2%, which is greater, thus worse than the value of 24.1% from the benchmark.

'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 36.6% in the last 5 years of Align Technology, we see it is relatively higher, thus worse in comparison to the benchmark SPY (15.3%)
- Looking at downside volatility in of 36% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.6%).

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.37) in the period of the last 5 years, the Sharpe Ratio of 0.03 of Align Technology is lower, thus worse.
- Compared with SPY (0.33) in the period of the last 3 years, the Sharpe Ratio of 0.1 is lower, thus worse.

'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.'

Which means for our asset as example:- Looking at the downside risk / excess return profile of 0.05 in the last 5 years of Align Technology, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.51)
- Looking at downside risk / excess return profile in of 0.16 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.45).

'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 Index of 32 in the last 5 years of Align Technology, we see it is relatively higher, thus worse in comparison to the benchmark SPY (7.71 )
- During the last 3 years, the Ulcer Index is 30 , which is greater, thus worse than the value of 9.08 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.'

Applying this definition to our asset in some examples:- The maximum drop from peak to valley over 5 years of Align Technology is -71.6 days, which is smaller, 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 DrawDown of -71.6 days is lower, thus worse.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (189 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 522 days of Align Technology is higher, thus worse.
- During the last 3 years, the maximum days below previous high is 270 days, which is greater, thus worse than the value of 189 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (46 days) in the period of the last 5 years, the average days under water of 154 days of Align Technology is higher, thus worse.
- Compared with SPY (45 days) in the period of the last 3 years, the average time in days below previous high water mark of 71 days is larger, 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 Align Technology 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.