'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.'

Which means for our asset as example:- Compared with the benchmark SPY (66.2%) in the period of the last 5 years, the total return, or increase in value of 208.6% of Facebook is larger, thus better.
- Looking at total return, or performance in of 56.4% in the period of the last 3 years, we see it is relatively greater, thus better in comparison to SPY (47.5%).

'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.'

Applying this definition to our asset in some examples:- Compared with the benchmark SPY (10.7%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 25.3% of Facebook is larger, thus better.
- Looking at annual return (CAGR) in of 16.1% in the period of the last 3 years, we see it is relatively higher, thus better in comparison to SPY (13.9%).

'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.'

Which means for our asset as example:- Looking at the 30 days standard deviation of 28.4% in the last 5 years of Facebook, we see it is relatively larger, thus worse in comparison to the benchmark SPY (13.3%)
- During the last 3 years, the historical 30 days volatility is 28%, which is greater, thus worse than the value of 12.5% from the benchmark.

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

Applying this definition to our asset in some examples:- Looking at the downside risk of 30% in the last 5 years of Facebook, we see it is relatively higher, thus worse in comparison to the benchmark SPY (14.6%)
- Looking at downside risk in of 30.5% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (14.2%).

'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 0.8 in the last 5 years of Facebook, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.62)
- Looking at risk / return profile (Sharpe) in of 0.49 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.91).

'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 excess return divided by the downside deviation of 0.76 of Facebook is higher, thus better.
- Compared with SPY (0.8) in the period of the last 3 years, the downside risk / excess return profile of 0.45 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.'

Which means for our asset as example:- The Ulcer Ratio over 5 years of Facebook is 12 , which is higher, thus better compared to the benchmark SPY (3.96 ) in the same period.
- Compared with SPY (4.01 ) in the period of the last 3 years, the Ulcer Ratio of 15 is higher, thus better.

'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.'

Applying this definition to our asset in some examples:- Looking at the maximum drop from peak to valley of -43 days in the last 5 years of Facebook, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (-19.3 days)
- During the last 3 years, the maximum drop from peak to valley is -43 days, which is lower, thus worse than the value of -19.3 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:- The maximum time in days below previous high water mark over 5 years of Facebook is 205 days, which is greater, thus worse compared to the benchmark SPY (187 days) in the same period.
- Looking at maximum days under water in of 205 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (139 days).

'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:- Compared with the benchmark SPY (41 days) in the period of the last 5 years, the average days below previous high of 35 days of Facebook is lower, thus better.
- Looking at average days below previous high in of 45 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (36 days).

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 Facebook 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.