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 123%, which is larger, thus better compared to the benchmark SPY (120.7%) in the same period.
• Looking at total return, or performance in of 43.3% in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (44%).

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.'

• The annual return (CAGR) over 5 years of Paychex is 17.4%, which is larger, thus better compared to the benchmark SPY (17.2%) in the same period.
• Looking at annual performance (CAGR) in of 12.7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (12.9%).

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.'

• Looking at the historical 30 days volatility of 26.4% in the last 5 years of Paychex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (18.8%)
• Compared with SPY (22.8%) in the period of the last 3 years, the volatility of 31.6% is larger, thus worse.

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.'

• Looking at the downside volatility of 18.7% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (13.6%)
• Compared with SPY (16.7%) in the period of the last 3 years, the downside risk of 22.7% is larger, thus worse.

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 0.56 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.78)
• Looking at Sharpe Ratio in of 0.32 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (0.46).

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.'

• Compared with the benchmark SPY (1.08) in the period of the last 5 years, the excess return divided by the downside deviation of 0.8 of Paychex is smaller, thus worse.
• Looking at downside risk / excess return profile in of 0.45 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.62).

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 (5.59 ) in the period of the last 5 years, the Ulcer Index of 8.87 of Paychex is larger, thus worse.
• Looking at Ulcer Ratio in of 11 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (7.15 ).

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 (-33.7 days) in the period of the last 5 years, the maximum reduction from previous high of -44.2 days of Paychex is lower, thus worse.
• Looking at maximum drop from peak to valley in of -44.2 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-33.7 days).

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'

• Looking at the maximum days below previous high of 181 days in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (139 days)
• Looking at maximum days below previous high in of 181 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (139 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.'

• The average days below previous high over 5 years of Paychex is 50 days, which is higher, thus worse compared to the benchmark SPY (33 days) in the same period.
• Looking at average days below previous high in of 56 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (45 days).