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.'

• The total return, or performance over 5 years of Paychex is 67.5%, which is lower, thus worse compared to the benchmark SPY (94.2%) in the same period.
• During the last 3 years, the total return, or performance is 19.9%, which is lower, thus worse than the value of 27.9% from the benchmark.

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.'

• Looking at the annual performance (CAGR) of 10.9% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (14.2%)
• Compared with SPY (8.6%) in the period of the last 3 years, the annual return (CAGR) of 6.2% is lower, thus worse.

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 historical 30 days volatility over 5 years of Paychex is 29.3%, which is larger, thus worse compared to the benchmark SPY (20.9%) in the same period.
• During the last 3 years, the 30 days standard deviation is 23.3%, which is higher, thus worse than the value of 17.3% from the benchmark.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. 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.'

• The downside risk over 5 years of Paychex is 20.8%, which is greater, thus worse compared to the benchmark SPY (15%) in the same period.
• Compared with SPY (12.1%) in the period of the last 3 years, the downside risk of 16.6% is larger, thus worse.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• The ratio of return and volatility (Sharpe) over 5 years of Paychex is 0.29, which is lower, thus worse compared to the benchmark SPY (0.56) in the same period.
• Compared with SPY (0.35) in the period of the last 3 years, the Sharpe Ratio of 0.16 is lower, thus worse.

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.'

• Looking at the excess return divided by the downside deviation of 0.4 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.78)
• Compared with SPY (0.5) in the period of the last 3 years, the ratio of annual return and downside deviation of 0.23 is smaller, thus worse.

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.'

• The Downside risk index over 5 years of Paychex is 12 , which is greater, thus worse compared to the benchmark SPY (9.32 ) in the same period.
• Looking at Ulcer Index in of 13 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (10 ).

MaxDD:

'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.'

• The maximum drop from peak to valley over 5 years of Paychex is -44.2 days, which is lower, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
• Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum reduction from previous high of -23.4 days is larger, thus better.

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'

• The maximum days under water over 5 years of Paychex is 577 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• During the last 3 years, the maximum time in days below previous high water mark is 577 days, which is greater, thus worse than the value of 488 days from the benchmark.

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.'

• The average days under water over 5 years of Paychex is 164 days, which is greater, thus worse compared to the benchmark SPY (123 days) in the same period.
• Compared with SPY (180 days) in the period of the last 3 years, the average time in days below previous high water mark of 236 days is higher, thus worse.