Paychex (PAYX)

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

• The total return over 5 years of Paychex is 22.6%, which is lower, thus worse compared to the benchmark SPY (83.6%) in the same period.
• During the last 3 years, the total return, or increase in value is 7%, which is lower, thus worse than the value of 76.9% 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 return (CAGR) over 5 years of Paychex is 4.2%, which is lower, thus worse compared to the benchmark SPY (13%) in the same period.
• During the last 3 years, the compounded annual growth rate (CAGR) is 2.3%, which is smaller, thus worse than the value of 21% 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.'

• Looking at the historical 30 days volatility of 24.6% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17.2%)
• During the last 3 years, the 30 days standard deviation is 24.2%, which is greater, thus worse than the value of 15.3% from the benchmark.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• The downside risk over 5 years of Paychex is 17.5%, which is larger, thus worse compared to the benchmark SPY (11.8%) in the same period.
• During the last 3 years, the downside volatility is 17.6%, which is greater, thus worse than the value of 10.3% 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.'

• Looking at the risk / return profile (Sharpe) of 0.07 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.61)
• Compared with SPY (1.21) in the period of the last 3 years, the Sharpe Ratio of -0.01 is smaller, thus worse.

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.'

• The ratio of annual return and downside deviation over 5 years of Paychex is 0.1, which is lower, thus worse compared to the benchmark SPY (0.88) in the same period.
• Compared with SPY (1.81) in the period of the last 3 years, the excess return divided by the downside deviation of -0.01 is lower, thus worse.

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 (8.45 ) in the period of the last 5 years, the Ulcer Ratio of 17 of Paychex is higher, thus worse.
• Compared with SPY (3.36 ) in the period of the last 3 years, the Ulcer Ratio of 19 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.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -45 days of Paychex is smaller, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum drop from peak to valley of -45 days is smaller, thus worse.

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.'

• Looking at the maximum days under water of 603 days in the last 5 years of Paychex, we see it is relatively greater, 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 time in days below previous high water mark of 317 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.'

• Compared with the benchmark SPY (118 days) in the period of the last 5 years, the average days under water of 198 days of Paychex is larger, thus worse.
• During the last 3 years, the average time in days below previous high water mark is 87 days, which is larger, thus worse than the value of 17 days from the benchmark.