'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

Using this definition on our asset we see for example:- Looking at the total return, or increase in value of 15.6% in the last 5 years of Discovery, we see it is relatively lower, thus worse in comparison to the benchmark SPY (121.6%)
- Looking at total return, or performance in of 9.1% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (64.5%).

'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:- Compared with the benchmark SPY (17.3%) in the period of the last 5 years, the annual performance (CAGR) of 2.9% of Discovery is lower, thus worse.
- Looking at annual return (CAGR) in of 3% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (18.1%).

'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.'

Applying this definition to our asset in some examples:- The volatility over 5 years of Discovery is 40.8%, which is larger, thus worse compared to the benchmark SPY (18.7%) in the same period.
- During the last 3 years, the volatility is 46.3%, which is higher, thus worse than the value of 22.5% from the benchmark.

'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:- Looking at the downside deviation of 29.6% in the last 5 years of Discovery, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.5%)
- During the last 3 years, the downside risk is 34%, which is larger, thus worse than the value of 16.4% from the benchmark.

'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:- Looking at the Sharpe Ratio of 0.01 in the last 5 years of Discovery, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.79)
- During the last 3 years, the risk / return profile (Sharpe) is 0.01, which is lower, thus worse than the value of 0.69 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:- Looking at the excess return divided by the downside deviation of 0.02 in the last 5 years of Discovery, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (1.09)
- Looking at downside risk / excess return profile in of 0.01 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.95).

'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.'

Using this definition on our asset we see for example:- Looking at the Downside risk index of 25 in the last 5 years of Discovery, we see it is relatively greater, thus worse in comparison to the benchmark SPY (5.58 )
- During the last 3 years, the Ulcer Index is 28 , which is greater, thus worse than the value of 6.83 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.'

Using this definition on our asset we see for example:- The maximum drop from peak to valley over 5 years of Discovery is -64 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- During the last 3 years, the maximum DrawDown is -64 days, which is smaller, thus worse than the value of -33.7 days from the benchmark.

'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 (139 days) in the period of the last 5 years, the maximum time in days below previous high water mark of 541 days of Discovery is higher, thus worse.
- Compared with SPY (139 days) in the period of the last 3 years, the maximum days below previous high of 541 days is greater, thus worse.

'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:- The average days under water over 5 years of Discovery is 190 days, which is higher, thus worse compared to the benchmark SPY (33 days) in the same period.
- Compared with SPY (35 days) in the period of the last 3 years, the average time in days below previous high water mark of 212 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 Discovery 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.