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 (91.1%) in the period of the last 5 years, the total return, or performance of 9.7% of Paychex is lower, thus worse.
• Looking at total return, or increase in value in of -3.1% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (84%).

CAGR:

'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.'

• The annual return (CAGR) over 5 years of Paychex is 1.9%, which is smaller, thus worse compared to the benchmark SPY (13.9%) in the same period.
• Looking at annual return (CAGR) in of -1% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (22.7%).

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.'

• Looking at the 30 days standard deviation of 23.5% in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17%)
• During the last 3 years, the 30 days standard deviation is 22.6%, which is greater, thus worse than the value of 15.1% from the benchmark.

DownVol:

'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.'

• Compared with the benchmark SPY (11.7%) in the period of the last 5 years, the downside risk of 17% of Paychex is larger, thus worse.
• Compared with SPY (10.1%) in the period of the last 3 years, the downside deviation of 16.8% is higher, 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.'

• Looking at the risk / return profile (Sharpe) of -0.03 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.67)
• During the last 3 years, the Sharpe Ratio is -0.16, which is smaller, thus worse than the value of 1.33 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.'

• Looking at the downside risk / excess return profile of -0.04 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.97)
• During the last 3 years, the ratio of annual return and downside deviation is -0.21, which is lower, thus worse than the value of 2 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.'

• Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Ulcer Index of 16 of Paychex is higher, thus worse.
• During the last 3 years, the Ulcer Ratio is 17 , which is larger, thus worse than the value of 3.5 from the benchmark.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• The maximum DrawDown over 5 years of Paychex is -45 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -45 days, which is lower, 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) in days.'

• Looking at the maximum days under water of 603 days in the last 5 years of Paychex, we see it is relatively larger, 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 239 days is larger, thus worse.

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 (120 days) in the period of the last 5 years, the average days below previous high of 184 days of Paychex is higher, thus worse.
• Compared with SPY (20 days) in the period of the last 3 years, the average days under water of 61 days is larger, thus worse.