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.'

• Compared with the benchmark SPY (84.7%) in the period of the last 5 years, the total return, or performance of 9.8% of Paychex is lower, thus worse.
• During the last 3 years, the total return is -6.2%, which is lower, thus worse than the value of 79.3% from the benchmark.

CAGR:

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

• The annual performance (CAGR) over 5 years of Paychex is 1.9%, which is lower, thus worse compared to the benchmark SPY (13.1%) in the same period.
• During the last 3 years, the annual return (CAGR) is -2.1%, which is lower, thus worse than the value of 21.6% from the benchmark.

Volatility:

'In finance, volatility (symbol σ) is the degree of variation of a trading price series over time as measured by the standard deviation of logarithmic returns. Historic volatility measures a time series of past market prices. Implied volatility looks forward in time, being derived from the market price of a market-traded derivative (in particular, an option). Commonly, the higher the volatility, the riskier the security.'

• Compared with the benchmark SPY (17.1%) in the period of the last 5 years, the volatility of 23.4% of Paychex is higher, thus worse.
• During the last 3 years, the historical 30 days volatility is 22.5%, which is larger, thus worse than the value of 15.2% 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.'

• Looking at the downside volatility of 16.9% in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (11.8%)
• During the last 3 years, the downside risk is 16.8%, which is higher, thus worse than the value of 10.1% from the benchmark.

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.'

• The Sharpe Ratio over 5 years of Paychex is -0.03, which is lower, thus worse compared to the benchmark SPY (0.62) in the same period.
• Looking at ratio of return and volatility (Sharpe) in of -0.21 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.26).

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 (0.9) in the period of the last 5 years, the excess return divided by the downside deviation of -0.04 of Paychex is lower, thus worse.
• Looking at ratio of annual return and downside deviation in of -0.28 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.88).

Ulcer:

'The Ulcer Index is a technical indicator that measures downside risk, in terms of both the depth and duration of price declines. The index increases in value as the price moves farther away from a recent high and falls as the price rises to new highs. The indicator is usually calculated over a 14-day period, with the Ulcer Index showing the percentage drawdown a trader can expect from the high over that period. The greater the value of the Ulcer Index, the longer it takes for a stock to get back to the former high.'

• Looking at the Ulcer Ratio of 15 in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.45 )
• Compared with SPY (3.5 ) in the period of the last 3 years, the Ulcer Index of 15 is larger, thus worse.

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

• The maximum reduction from previous high 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.
• Looking at maximum drop from peak to valley in of -45 days in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (-18.8 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) 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 219 days is greater, thus worse.

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 181 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 55 days, which is larger, thus worse than the value of 20 days from the benchmark.