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.'

• Looking at the total return of 46.5% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (105.5%)
• Looking at total return, or increase in value in of 7% in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (84%).

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 (15.6%) in the period of the last 5 years, the annual performance (CAGR) of 8% of Paychex is smaller, thus worse.
• During the last 3 years, the annual return (CAGR) is 2.3%, which is lower, thus worse than the value of 22.6% 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.'

• The historical 30 days volatility over 5 years of Paychex is 22.8%, which is larger, thus worse compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (16%) in the period of the last 3 years, the volatility of 22.2% is higher, thus worse.

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 16.3%, which is larger, thus worse compared to the benchmark SPY (11.7%) in the same period.
• Compared with SPY (10.5%) in the period of the last 3 years, the downside volatility of 16.2% is higher, thus worse.

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.'

• Compared with the benchmark SPY (0.76) in the period of the last 5 years, the Sharpe Ratio of 0.24 of Paychex is lower, thus worse.
• During the last 3 years, the risk / return profile (Sharpe) is -0.01, which is smaller, thus worse than the value of 1.26 from the benchmark.

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 (1.11) in the period of the last 5 years, the downside risk / excess return profile of 0.34 of Paychex is lower, thus worse.
• Compared with SPY (1.93) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.01 is lower, thus worse.

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.'

• Compared with the benchmark SPY (8.41 ) in the period of the last 5 years, the Ulcer Ratio of 11 of Paychex is greater, thus worse.
• During the last 3 years, the Ulcer Ratio is 8.5 , which is greater, thus worse than the value of 3.61 from the benchmark.

MaxDD:

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum DrawDown of -28.9 days of Paychex is smaller, thus worse.
• Compared with SPY (-18.8 days) in the period of the last 3 years, the maximum DrawDown of -28.9 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.'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days below previous high of 603 days of Paychex is higher, thus worse.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 157 days is greater, thus worse.

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 below previous high of 169 days in the last 5 years of Paychex, we see it is relatively greater, thus worse in comparison to the benchmark SPY (120 days)
• Looking at average days under water in of 46 days in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (21 days).