'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 of 79.6% in the last 5 years of Fiserv, we see it is relatively smaller, thus worse in comparison to the benchmark SPY (94.8%)
- Looking at total return, or increase in value in of 23.6% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (31.6%).

'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.'

Using this definition on our asset we see for example:- Compared with the benchmark SPY (14.3%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 12.4% of Fiserv is smaller, thus worse.
- Looking at annual return (CAGR) in of 7.3% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (9.6%).

'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 historical 30 days volatility of 30.5% in the last 5 years of Fiserv, we see it is relatively larger, thus worse in comparison to the benchmark SPY (20.9%)
- Looking at volatility in of 25.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (17.3%).

'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:- Compared with the benchmark SPY (15%) in the period of the last 5 years, the downside volatility of 21.5% of Fiserv is larger, thus worse.
- Looking at downside risk in of 18% in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (12.1%).

'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:- Compared with the benchmark SPY (0.56) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.33 of Fiserv is smaller, thus worse.
- Compared with SPY (0.41) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 0.19 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:- Compared with the benchmark SPY (0.79) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.46 of Fiserv is lower, thus worse.
- During the last 3 years, the ratio of annual return and downside deviation is 0.27, which is smaller, thus worse than the value of 0.59 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 (9.33 ) in the period of the last 5 years, the Downside risk index of 14 of Fiserv is greater, thus worse.
- Looking at Ulcer Ratio in of 15 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (10 ).

'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 reduction from previous high over 5 years of Fiserv is -37.8 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
- Looking at maximum drop from peak to valley in of -30.2 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-24.5 days).

'The Maximum 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. It is the length of time the account was in the Max Drawdown. A Max Drawdown measures a retrenchment from when an equity curve reaches a new high. It’s the maximum an account lost during that retrenchment. This method is applied because a valley can’t be measured until a new high occurs. Once the new high is reached, the percentage change from the old high to the bottom of the largest trough is recorded.'

Which means for our asset as example:- Looking at the maximum time in days below previous high water mark of 553 days in the last 5 years of Fiserv, we see it is relatively larger, thus worse in comparison to the benchmark SPY (488 days)
- Looking at maximum days below previous high in of 553 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (488 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.'

Applying this definition to our asset in some examples:- Looking at the average days below previous high of 170 days in the last 5 years of Fiserv, we see it is relatively higher, thus worse in comparison to the benchmark SPY (123 days)
- During the last 3 years, the average days below previous high is 223 days, which is larger, thus worse than the value of 179 days from the benchmark.

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 Fiserv 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.