Paychex (PAYX)

TotalReturn:

'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.'

• Compared with the benchmark SPY (87.2%) in the period of the last 5 years, the total return, or increase in value of 23.8% of Paychex is lower, thus worse.
• Compared with SPY (71%) in the period of the last 3 years, the total return, or increase in value of -8.4% is lower, thus worse.

CAGR:

'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.'

• Compared with the benchmark SPY (13.4%) in the period of the last 5 years, the annual performance (CAGR) of 4.4% of Paychex is lower, thus worse.
• Compared with SPY (19.7%) in the period of the last 3 years, the annual performance (CAGR) of -2.9% is lower, thus worse.

Volatility:

'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.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the volatility of 22.9% of Paychex is higher, thus worse.
• Looking at 30 days standard deviation in of 21.8% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (15.2%).

DownVol:

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

• The downside deviation over 5 years of Paychex is 16.5%, which is greater, thus worse compared to the benchmark SPY (11.7%) in the same period.
• During the last 3 years, the downside risk is 16.3%, which is greater, thus worse than the value of 10.2% from the benchmark.

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.'

• Looking at the risk / return profile (Sharpe) of 0.08 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.64)
• During the last 3 years, the Sharpe Ratio is -0.25, which is lower, thus worse than the value of 1.13 from the benchmark.

Sortino:

'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.'

• The downside risk / excess return profile over 5 years of Paychex is 0.11, which is lower, thus worse compared to the benchmark SPY (0.93) in the same period.
• During the last 3 years, the excess return divided by the downside deviation is -0.33, which is lower, thus worse than the value of 1.68 from the benchmark.

Ulcer:

'The ulcer index is a stock market risk measure or technical analysis indicator devised by Peter Martin in 1987, and published by him and Byron McCann in their 1989 book The Investors Guide to Fidelity Funds. It's designed as a measure of volatility, but only volatility in the downward direction, i.e. the amount of drawdown or retracement occurring over a period. Other volatility measures like standard deviation treat up and down movement equally, but a trader doesn't mind upward movement, it's the downside that causes stress and stomach ulcers that the index's name suggests.'

• Looking at the Ulcer Index of 13 in the last 5 years of Paychex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (8.42 )
• Compared with SPY (3.49 ) in the period of the last 3 years, the Ulcer Index of 11 is greater, thus worse.

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.'

• The maximum reduction from previous high over 5 years of Paychex is -37.5 days, which is smaller, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum drop from peak to valley is -37.5 days, which is smaller, thus worse than the value of -18.8 days from the benchmark.

MaxDuration:

'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'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 603 days of Paychex is greater, thus worse.
• Looking at maximum days under water in of 167 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (87 days).

AveDuration:

'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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 174 days of Paychex is higher, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 48 days, which is greater, thus worse than the value of 20 days from the benchmark.