Paychex (PAYX)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• Looking at the total return of 22% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (86%)
• Compared with SPY (71.8%) in the period of the last 3 years, the total return of -10.2% 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.'

• Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the annual performance (CAGR) of 4.1% of Paychex is lower, thus worse.
• Compared with SPY (19.9%) in the period of the last 3 years, the compounded annual growth rate (CAGR) of -3.5% 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.'

• Looking at the historical 30 days volatility of 23% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17%)
• Compared with SPY (15.2%) in the period of the last 3 years, the historical 30 days volatility of 22% is greater, thus worse.

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.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside volatility of 16.6% of Paychex is greater, thus worse.
• During the last 3 years, the downside volatility is 16.4%, which is higher, 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.'

• Compared with the benchmark SPY (0.63) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.07 of Paychex is lower, thus worse.
• Looking at risk / return profile (Sharpe) in of -0.27 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.14).

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 0.09 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.92)
• During the last 3 years, the ratio of annual return and downside deviation is -0.37, which is lower, thus worse than the value of 1.7 from the benchmark.

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.'

• Looking at the Downside risk 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 )
• Looking at Downside risk index in of 12 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (3.48 ).

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 -40.5 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 -40.5 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.'

• The maximum time in days below previous high water mark over 5 years of Paychex is 603 days, which is higher, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days below previous high in of 173 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (87 days).

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 175 days in the last 5 years of Paychex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (119 days)
• During the last 3 years, the average time in days below previous high water mark is 45 days, which is higher, thus worse than the value of 19 days from the benchmark.