Paychex (PAYX)

TotalReturn:

'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.'

• Compared with the benchmark SPY (97.5%) in the period of the last 5 years, the total return of 33.4% of Paychex is lower, thus worse.
• Compared with SPY (86.3%) in the period of the last 3 years, the total return of 6.5% is lower, thus worse.

CAGR:

'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.'

• The annual return (CAGR) over 5 years of Paychex is 6%, which is smaller, thus worse compared to the benchmark SPY (14.6%) in the same period.
• During the last 3 years, the annual performance (CAGR) is 2.1%, which is smaller, thus worse than the value of 23.2% from the benchmark.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• The 30 days standard deviation over 5 years of Paychex is 22.8%, which is greater, thus worse compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (15.4%) in the period of the last 3 years, the volatility of 21.8% is larger, thus worse.

DownVol:

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

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside risk of 16.3% of Paychex is higher, thus worse.
• Compared with SPY (10.2%) in the period of the last 3 years, the downside risk of 15.9% is higher, thus worse.

Sharpe:

'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.'

• Compared with the benchmark SPY (0.71) in the period of the last 5 years, the Sharpe Ratio of 0.15 of Paychex is smaller, thus worse.
• Compared with SPY (1.34) in the period of the last 3 years, the risk / return profile (Sharpe) of -0.02 is lower, thus worse.

Sortino:

'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.'

• Compared with the benchmark SPY (1.03) in the period of the last 5 years, the excess return divided by the downside deviation of 0.21 of Paychex is lower, thus worse.
• Compared with SPY (2.02) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.02 is lower, thus worse.

Ulcer:

'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.'

• The Ulcer Index over 5 years of Paychex is 12 , which is larger, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• During the last 3 years, the Ulcer Ratio is 9.52 , which is larger, thus worse than the value of 3.51 from the benchmark.

MaxDD:

'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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -30.9 days of Paychex is lower, thus worse.
• Looking at maximum reduction from previous high in of -30.9 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'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.'

• Looking at the maximum time in days below previous high water mark of 603 days in the last 5 years of Paychex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (488 days)
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days below previous high of 136 days is larger, thus worse.

AveDuration:

'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.'

• Looking at the average days below previous high of 170 days in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (119 days)
• Looking at average days below previous high in of 42 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (21 days).