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.'

• Compared with the benchmark SPY (84.4%) in the period of the last 5 years, the total return of 18.9% of Paychex is lower, thus worse.
• During the last 3 years, the total return is 4.4%, which is lower, thus worse than the value of 71.1% from the benchmark.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• The annual return (CAGR) over 5 years of Paychex is 3.5%, which is smaller, thus worse compared to the benchmark SPY (13.1%) in the same period.
• During the last 3 years, the compounded annual growth rate (CAGR) is 1.4%, which is lower, thus worse than the value of 19.7% from the benchmark.

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 30 days standard deviation of 24.1% in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17.2%)
• Compared with SPY (15.3%) in the period of the last 3 years, the historical 30 days volatility of 23.4% is greater, 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.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside risk of 17.2% of Paychex is higher, thus worse.
• Looking at downside volatility in of 16.9% in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (10.3%).

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 ratio of return and volatility (Sharpe) over 5 years of Paychex is 0.04, which is lower, thus worse compared to the benchmark SPY (0.62) in the same period.
• Looking at Sharpe Ratio in of -0.05 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.12).

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.'

• The downside risk / excess return profile over 5 years of Paychex is 0.06, which is lower, thus worse compared to the benchmark SPY (0.89) in the same period.
• Compared with SPY (1.67) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.06 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.'

• Looking at the Ulcer Index of 17 in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (8.45 )
• During the last 3 years, the Ulcer Ratio is 18 , which is larger, thus worse than the value of 3.52 from the benchmark.

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 DrawDown 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.
• 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.'

• The maximum days below previous high over 5 years of Paychex is 603 days, which is greater, thus worse compared to the benchmark SPY (488 days) in the same period.
• Looking at maximum days under water in of 278 days in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (87 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 190 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average time in days below previous high water mark is 74 days, which is greater, thus worse than the value of 21 days from the benchmark.