'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 increase in value of 66.3% in the last 5 years of Caterpillar, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (67.6%)
- During the last 3 years, the total return, or performance is 67.9%, which is higher, thus better than the value of 51.3% from the benchmark.

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

Which means for our asset as example:- The compounded annual growth rate (CAGR) over 5 years of Caterpillar is 10.7%, which is lower, thus worse compared to the benchmark SPY (10.9%) in the same period.
- Compared with SPY (14.8%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of 18.9% is larger, thus better.

'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 volatility of 27% in the last 5 years of Caterpillar, we see it is relatively higher, thus worse in comparison to the benchmark SPY (13.5%)
- Compared with SPY (12.8%) in the period of the last 3 years, the volatility of 27.2% is higher, thus worse.

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

Using this definition on our asset we see for example:- Looking at the downside volatility of 27.7% in the last 5 years of Caterpillar, we see it is relatively larger, thus worse in comparison to the benchmark SPY (14.8%)
- Compared with SPY (14.7%) in the period of the last 3 years, the downside volatility of 28.7% is higher, 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:- Looking at the risk / return profile (Sharpe) of 0.3 in the last 5 years of Caterpillar, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (0.62)
- Compared with SPY (0.96) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.6 is lower, thus worse.

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

Applying this definition to our asset in some examples:- The downside risk / excess return profile over 5 years of Caterpillar is 0.3, which is lower, thus worse compared to the benchmark SPY (0.57) in the same period.
- During the last 3 years, the downside risk / excess return profile is 0.57, which is lower, thus worse than the value of 0.84 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:- The Ulcer Index over 5 years of Caterpillar is 19 , which is higher, thus worse compared to the benchmark SPY (3.99 ) in the same period.
- Looking at Downside risk index in of 15 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (4.1 ).

'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 (-19.3 days) in the period of the last 5 years, the maximum drop from peak to valley of -42.1 days of Caterpillar is smaller, thus worse.
- Looking at maximum DrawDown in of -33.1 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.'

Applying this definition to our asset in some examples:- The maximum days under water over 5 years of Caterpillar is 513 days, which is greater, 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 461 days, which is higher, thus worse than the value of 139 days from the benchmark.

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (42 days) in the period of the last 5 years, the average days under water of 202 days of Caterpillar is greater, thus worse.
- Looking at average time in days below previous high water mark in of 159 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (36 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 Caterpillar 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.