'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:- Compared with the benchmark SPY (63%) in the period of the last 5 years, the total return of 64.9% of PepsiCo is greater, thus better.
- During the last 3 years, the total return, or increase in value is 29.1%, which is lower, thus worse than the value of 33.5% from the benchmark.

'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:- Compared with the benchmark SPY (10.3%) in the period of the last 5 years, the annual performance (CAGR) of 10.5% of PepsiCo is higher, thus better.
- Compared with SPY (10.1%) in the period of the last 3 years, the annual return (CAGR) of 8.9% is smaller, thus worse.

'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 22.2% in the last 5 years of PepsiCo, we see it is relatively greater, thus worse in comparison to the benchmark SPY (21.6%)
- Looking at volatility in of 25.4% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (25.1%).

'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 risk of 15.6% in the last 5 years of PepsiCo, we see it is relatively greater, thus worse in comparison to the benchmark SPY (15.6%)
- Looking at downside deviation in of 17.9% in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (18.1%).

'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 risk / return profile (Sharpe) over 5 years of PepsiCo is 0.36, which is larger, thus better compared to the benchmark SPY (0.36) in the same period.
- Compared with SPY (0.3) in the period of the last 3 years, the Sharpe Ratio of 0.25 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.'

Applying this definition to our asset in some examples:- Looking at the ratio of annual return and downside deviation of 0.51 in the last 5 years of PepsiCo, we see it is relatively greater, thus better in comparison to the benchmark SPY (0.5)
- Compared with SPY (0.42) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.36 is smaller, 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:- Compared with the benchmark SPY (8.88 ) in the period of the last 5 years, the Ulcer Ratio of 5.95 of PepsiCo is lower, thus better.
- Compared with SPY (11 ) in the period of the last 3 years, the Ulcer Ratio of 5.85 is lower, 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 DrawDown of -28.8 days in the last 5 years of PepsiCo, we see it is relatively higher, thus better in comparison to the benchmark SPY (-33.7 days)
- During the last 3 years, the maximum drop from peak to valley is -28.8 days, which is larger, thus better 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). 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 days below previous high over 5 years of PepsiCo is 187 days, which is smaller, thus better compared to the benchmark SPY (273 days) in the same period.
- Looking at maximum days under water in of 187 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (273 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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (57 days) in the period of the last 5 years, the average days below previous high of 40 days of PepsiCo is lower, thus better.
- Looking at average days under water in of 44 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (73 days).

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 PepsiCo 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.