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.'

• The total return, or performance over 5 years of Paychex is 15.3%, which is smaller, thus worse compared to the benchmark SPY (94.2%) in the same period.
• Compared with SPY (81.9%) in the period of the last 3 years, the total return, or performance of -9.6% is smaller, 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.'

• Looking at the annual performance (CAGR) of 2.9% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (14.3%)
• Looking at annual performance (CAGR) in of -3.3% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (22.2%).

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 23.1% 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 historical 30 days volatility is 22.2%, which is greater, thus worse than the value of 15.1% from the benchmark.

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 (11.7%) in the period of the last 5 years, the downside deviation of 16.8% of Paychex is higher, thus worse.
• Looking at downside risk in of 16.6% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10.1%).

Sharpe:

'The Sharpe ratio (also known as the Sharpe index, the Sharpe measure, and the reward-to-variability ratio) is a way to examine the performance of an investment by adjusting for its risk. The ratio measures the excess return (or risk premium) per unit of deviation in an investment asset or a trading strategy, typically referred to as risk, named after William F. Sharpe.'

• Looking at the ratio of return and volatility (Sharpe) of 0.02 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.69)
• During the last 3 years, the risk / return profile (Sharpe) is -0.26, which is smaller, thus worse than the value of 1.3 from the benchmark.

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.'

• Looking at the downside risk / excess return profile of 0.02 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (1)
• Looking at ratio of annual return and downside deviation in of -0.35 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.95).

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 (8.42 ) in the period of the last 5 years, the Ulcer Ratio of 13 of Paychex is higher, thus worse.
• Looking at Ulcer Index in of 12 in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (3.4 ).

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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -43.8 days of Paychex is lower, thus worse.
• During the last 3 years, the maximum drop from peak to valley is -43.8 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

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.'

• 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 180 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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days below previous high of 176 days of Paychex is higher, thus worse.
• Looking at average days below previous high in of 47 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (19 days).