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 (93.2%) in the period of the last 5 years, the total return, or increase in value of 18.8% of Paychex is lower, thus worse.
• Compared with SPY (80.1%) in the period of the last 3 years, the total return, or increase in value of -6.8% 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 annual performance (CAGR) of 3.5% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (14.1%)
• Compared with SPY (21.8%) in the period of the last 3 years, the annual performance (CAGR) of -2.3% is lower, thus worse.

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.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the 30 days standard deviation of 23.2% of Paychex is larger, thus worse.
• Looking at historical 30 days volatility in of 22.3% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (15.1%).

DownVol:

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

• Looking at the downside volatility of 16.8% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.7%)
• Compared with SPY (10.1%) in the period of the last 3 years, the downside risk of 16.6% is higher, thus worse.

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.'

• Looking at the risk / return profile (Sharpe) of 0.04 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.68)
• Looking at risk / return profile (Sharpe) in of -0.22 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.28).

Sortino:

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

• Looking at the ratio of annual return and downside deviation of 0.06 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.99)
• During the last 3 years, the ratio of annual return and downside deviation is -0.29, which is lower, thus worse than the value of 1.91 from the benchmark.

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.'

• The Downside risk index over 5 years of Paychex is 13 , which is larger, thus worse compared to the benchmark SPY (8.42 ) in the same period.
• Compared with SPY (3.4 ) in the period of the last 3 years, the Downside risk index of 12 is larger, thus worse.

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.'

• The maximum drop from peak to valley over 5 years of Paychex is -43.8 days, which is smaller, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• Looking at maximum DrawDown in of -43.8 days in the period of the last 3 years, we see it is relatively lower, 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). Many assume Max DD Duration is the length of time between new highs during which the Max DD (magnitude) occurred. But that isn’t always the case. The Max DD duration is the longest time between peaks, period. So it could be the time when the program also had its biggest peak to valley loss (and usually is, because the program needs a long time to recover from the largest loss), but it doesn’t have to be'

• Compared with the benchmark SPY (488 days) in the period of the last 5 years, the maximum days under water of 603 days of Paychex is higher, thus worse.
• Looking at maximum days below previous high in of 182 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.'

• Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average time in days below previous high water mark of 176 days of Paychex is greater, thus worse.
• Compared with SPY (19 days) in the period of the last 3 years, the average days below previous high of 47 days is greater, thus worse.