'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.'

Which means for our asset as example:- Looking at the total return, or performance of 62.1% in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively greater, thus better in comparison to the benchmark SPY (61.3%)
- Looking at total return, or performance in of 158% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (31.6%).

'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.'

Which means for our asset as example:- Compared with the benchmark SPY (10%) in the period of the last 5 years, the annual performance (CAGR) of 10.2% of Regeneron Pharmaceuticals is larger, thus better.
- Compared with SPY (9.6%) in the period of the last 3 years, the annual performance (CAGR) of 37.1% is greater, thus better.

'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:- Looking at the 30 days standard deviation of 33.2% in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively greater, thus worse in comparison to the benchmark SPY (20.8%)
- During the last 3 years, the volatility is 34.9%, which is larger, thus worse than the value of 24% 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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (15.3%) in the period of the last 5 years, the downside volatility of 21.9% of Regeneron Pharmaceuticals is greater, thus worse.
- Compared with SPY (17.6%) in the period of the last 3 years, the downside volatility of 21.8% is higher, thus worse.

'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 Sharpe Ratio of 0.23 in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.36)
- Looking at ratio of return and volatility (Sharpe) in of 0.99 in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (0.3).

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (0.49) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.35 of Regeneron Pharmaceuticals is smaller, thus worse.
- During the last 3 years, the ratio of annual return and downside deviation is 1.59, which is larger, thus better than the value of 0.4 from the benchmark.

'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 (7.61 ) in the period of the last 5 years, the Ulcer Index of 21 of Regeneron Pharmaceuticals is greater, thus worse.
- During the last 3 years, the Downside risk index is 14 , which is greater, thus worse than the value of 8.93 from the benchmark.

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -41.8 days of Regeneron Pharmaceuticals is lower, thus worse.
- Looking at maximum drop from peak to valley in of -32.1 days in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (-33.7 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) in days.'

Which means for our asset as example:- Compared with the benchmark SPY (185 days) in the period of the last 5 years, the maximum days under water of 603 days of Regeneron Pharmaceuticals is higher, thus worse.
- Compared with SPY (185 days) in the period of the last 3 years, the maximum days below previous high of 274 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.'

Applying this definition to our asset in some examples:- Looking at the average days under water of 194 days in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively larger, thus worse in comparison to the benchmark SPY (46 days)
- During the last 3 years, the average days under water is 80 days, which is higher, thus worse than the value of 44 days from the benchmark.

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 Regeneron Pharmaceuticals 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.