'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 of -61.8% in the last 5 years of Keurig Dr Pepper, we see it is relatively lower, thus worse in comparison to the benchmark SPY (125.3%)
- Looking at total return, or performance in of -63.9% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (43.3%).

'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 (17.6%) in the period of the last 5 years, the annual return (CAGR) of -17.5% of Keurig Dr Pepper is smaller, thus worse.
- During the last 3 years, the compounded annual growth rate (CAGR) is -28.8%, which is smaller, thus worse than the value of 12.8% 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.'

Using this definition on our asset we see for example:- Looking at the 30 days standard deviation of 44.9% in the last 5 years of Keurig Dr Pepper, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.7%)
- Compared with SPY (22.9%) in the period of the last 3 years, the historical 30 days volatility of 56.6% is higher, thus worse.

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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:- Looking at the downside deviation of 40% in the last 5 years of Keurig Dr Pepper, we see it is relatively greater, thus worse in comparison to the benchmark SPY (13.6%)
- Looking at downside risk in of 50.7% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (16.8%).

'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:- The ratio of return and volatility (Sharpe) over 5 years of Keurig Dr Pepper is -0.45, which is lower, thus worse compared to the benchmark SPY (0.81) in the same period.
- Compared with SPY (0.45) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.55 is lower, thus worse.

'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:- Looking at the downside risk / excess return profile of -0.5 in the last 5 years of Keurig Dr Pepper, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1.12)
- During the last 3 years, the ratio of annual return and downside deviation is -0.62, which is lower, thus worse than the value of 0.61 from the benchmark.

'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:- Compared with the benchmark SPY (5.59 ) in the period of the last 5 years, the Ulcer Ratio of 55 of Keurig Dr Pepper is higher, thus worse.
- Compared with SPY (7.15 ) in the period of the last 3 years, the Downside risk index of 71 is greater, thus worse.

'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 Keurig Dr Pepper is -83.6 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum drop from peak to valley in of -83.6 days in the period of the last 3 years, we see it is relatively lower, thus worse 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

Applying this definition to our asset in some examples:- The maximum time in days below previous high water mark over 5 years of Keurig Dr Pepper is 644 days, which is greater, thus worse compared to the benchmark SPY (139 days) in the same period.
- Looking at maximum time in days below previous high water mark in of 644 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (139 days).

'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.'

Which means for our asset as example:- The average time in days below previous high water mark over 5 years of Keurig Dr Pepper is 202 days, which is greater, thus worse compared to the benchmark SPY (33 days) in the same period.
- Compared with SPY (45 days) in the period of the last 3 years, the average days under water of 284 days is higher, thus worse.

Historical returns have been extended using synthetic data.
[Show Details]

- Note that yearly returns do not equal the sum of monthly returns due to compounding.
- Performance results of Keurig Dr Pepper 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.