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 (107.6%) in the period of the last 5 years, the total return, or increase in value of 160.7% of Paychex is larger, thus better.
• Compared with SPY (48.1%) in the period of the last 3 years, the total return, or performance of 37.4% is lower, thus worse.

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.'

• Looking at the compounded annual growth rate (CAGR) of 21.2% in the last 5 years of Paychex, we see it is relatively larger, thus better in comparison to the benchmark SPY (15.8%)
• During the last 3 years, the annual return (CAGR) is 11.2%, which is smaller, thus worse than the value of 14% from the benchmark.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• Looking at the volatility of 23.5% in the last 5 years of Paychex, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17.9%)
• Compared with SPY (18.3%) in the period of the last 3 years, the historical 30 days volatility of 22.9% is larger, 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 16.1%, which is greater, thus worse compared to the benchmark SPY (12.5%) in the same period.
• During the last 3 years, the downside deviation is 15.9%, which is larger, thus worse than the value of 12.4% 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.'

• Looking at the Sharpe Ratio of 0.79 in the last 5 years of Paychex, we see it is relatively higher, thus better in comparison to the benchmark SPY (0.74)
• Looking at ratio of return and volatility (Sharpe) in of 0.38 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (0.63).

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 (1.06) in the period of the last 5 years, the excess return divided by the downside deviation of 1.16 of Paychex is greater, thus better.
• Compared with SPY (0.93) in the period of the last 3 years, the downside risk / excess return profile of 0.55 is lower, thus worse.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.48 ) in the period of the last 5 years, the Ulcer Index of 10 of Paychex is larger, thus worse.
• During the last 3 years, the Ulcer Index is 11 , which is higher, thus worse than the value of 5.54 from the benchmark.

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -23.4 days of Paychex is higher, thus better.
• During the last 3 years, the maximum drop from peak to valley is -23.2 days, which is smaller, thus worse than the value of -18.8 days from the benchmark.

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.
• During the last 3 years, the maximum days under water is 510 days, which is larger, thus worse than the value of 199 days from the benchmark.

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 (119 days) in the period of the last 5 years, the average days under water of 167 days of Paychex is higher, thus worse.
• During the last 3 years, the average days below previous high is 187 days, which is larger, thus worse than the value of 45 days from the benchmark.