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.'

• The total return over 5 years of Paychex is 124.9%, which is larger, thus better compared to the benchmark SPY (110.9%) in the same period.
• Compared with SPY (69.3%) in the period of the last 3 years, the total return, or performance of 34.5% is lower, thus worse.

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.'

• Compared with the benchmark SPY (16.1%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 17.7% of Paychex is larger, thus better.
• Compared with SPY (19.3%) in the period of the last 3 years, the annual return (CAGR) of 10.4% is lower, thus worse.

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 (17.5%) in the period of the last 5 years, the historical 30 days volatility of 22.9% of Paychex is larger, thus worse.
• During the last 3 years, the 30 days standard deviation is 22.9%, which is larger, thus worse than the value of 17.5% 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 (12.1%) in the period of the last 5 years, the downside volatility of 16% of Paychex is higher, thus worse.
• During the last 3 years, the downside volatility is 16.2%, which is larger, thus worse than the value of 11.5% from the benchmark.

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.'

• The Sharpe Ratio over 5 years of Paychex is 0.66, which is lower, thus worse compared to the benchmark SPY (0.78) in the same period.
• Looking at ratio of return and volatility (Sharpe) in of 0.35 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.96).

Sortino:

'The Sortino ratio measures the risk-adjusted return of an investment asset, portfolio, or strategy. It is a modification of the Sharpe ratio but penalizes only those returns falling below a user-specified target or required rate of return, while the Sharpe ratio penalizes both upside and downside volatility equally. Though both ratios measure an investment's risk-adjusted return, they do so in significantly different ways that will frequently lead to differing conclusions as to the true nature of the investment's return-generating efficiency. The Sortino ratio is used as a way to compare the risk-adjusted performance of programs with differing risk and return profiles. In general, risk-adjusted returns seek to normalize the risk across programs and then see which has the higher return unit per risk.'

• Compared with the benchmark SPY (1.13) in the period of the last 5 years, the downside risk / excess return profile of 0.95 of Paychex is lower, thus worse.
• Looking at downside risk / excess return profile in of 0.49 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.46).

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.'

• The Ulcer Index over 5 years of Paychex is 10 , which is higher, thus worse compared to the benchmark SPY (8.48 ) in the same period.
• Compared with SPY (5.3 ) in the period of the last 3 years, the Downside risk index of 11 is greater, 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.'

• Looking at the maximum drop from peak to valley of -23.4 days in the last 5 years of Paychex, we see it is relatively larger, thus better in comparison to the benchmark SPY (-24.5 days)
• Looking at maximum drop from peak to valley in of -23.2 days in the period of the last 3 years, we see it is relatively smaller, 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.'

• The maximum days below previous high over 5 years of Paychex is 603 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum time in days below previous high water mark in of 510 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (199 days).

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.'

• Looking at the average days under water of 167 days in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (120 days)
• During the last 3 years, the average time in days below previous high water mark is 188 days, which is larger, thus worse than the value of 47 days from the benchmark.