'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:- Looking at the total return, or increase in value of 28.9% in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (66.2%)
- Looking at total return, or increase in value in of 6.5% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (45.7%).

'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 Regeneron Pharmaceuticals is 5.2%, which is smaller, thus worse compared to the benchmark SPY (10.7%) in the same period.
- During the last 3 years, the compounded annual growth rate (CAGR) is 2.1%, which is lower, thus worse than the value of 13.4% 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 (13.3%) in the period of the last 5 years, the volatility of 33.7% of Regeneron Pharmaceuticals is greater, thus worse.
- Compared with SPY (12.5%) in the period of the last 3 years, the historical 30 days volatility of 32.9% is greater, thus worse.

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

Which means for our asset as example:- Compared with the benchmark SPY (14.6%) in the period of the last 5 years, the downside volatility of 31.8% of Regeneron Pharmaceuticals is greater, thus worse.
- Compared with SPY (14.1%) in the period of the last 3 years, the downside risk of 29.8% is greater, thus worse.

'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:- The risk / return profile (Sharpe) over 5 years of Regeneron Pharmaceuticals is 0.08, which is lower, thus worse compared to the benchmark SPY (0.62) in the same period.
- Compared with SPY (0.87) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.01 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 ratio of annual return and downside deviation of 0.09 in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.56)
- Compared with SPY (0.77) in the period of the last 3 years, the downside risk / excess return profile of -0.01 is lower, thus worse.

'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:- Compared with the benchmark SPY (3.96 ) in the period of the last 5 years, the Downside risk index of 28 of Regeneron Pharmaceuticals is higher, thus better.
- During the last 3 years, the Ulcer Index is 23 , which is higher, thus better than the value of 4.01 from the benchmark.

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of -52 days in the last 5 years of Regeneron Pharmaceuticals, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-19.3 days)
- Looking at maximum drop from peak to valley in of -45.9 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-19.3 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.'

Using this definition on our asset we see for example:- The maximum time in days below previous high water mark over 5 years of Regeneron Pharmaceuticals is 914 days, which is higher, thus worse compared to the benchmark SPY (187 days) in the same period.
- During the last 3 years, the maximum days below previous high is 440 days, which is greater, thus worse than the value of 131 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 time in days below previous high water mark over 5 years of Regeneron Pharmaceuticals is 351 days, which is higher, thus worse compared to the benchmark SPY (39 days) in the same period.
- Compared with SPY (34 days) in the period of the last 3 years, the average days under water of 150 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 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.