Description

Paychex, Inc. provides integrated human capital management solutions for human resources (HR), payroll, benefits, and insurance services for small- to medium-sized businesses in the United States and Europe. The company offers payroll processing services; payroll tax administration services; employee payment services; and regulatory compliance services, such as new-hire reporting and garnishment processing. It also provides HR solutions, including payroll, employer compliance, HR and employee benefits administration, risk management outsourcing, and the on-site availability of a professionally trained HR representative; and retirement services administration, including plan implementation, ongoing compliance with government regulations, employee and employer reporting, participant and employer online access, electronic funds transfer, and other administrative services. In addition, the company offers cloud-based HR administration software products for employee benefits management and administration, time and attendance, recruiting, and onboarding solutions; plan administration outsourcing and state unemployment insurance services; various business services to small to medium-sized businesses comprising payroll funding and outsourcing services, which include payroll processing, invoicing, and tax preparation; and payment processing services, financial fitness programs, and a small-business loan resource center. Further, it provides insurance services for property and casualty coverage, such as workers' compensation, business-owner policies, cyber security protection, and commercial auto, as well as health and benefits coverage, including health, dental, vision, and life. The company markets and sells its services primarily through its direct sales force. Paychex, Inc. was founded in 1979 and is headquartered in Rochester, New York.
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Statistics (YTD)

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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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (94.8%) in the period of the last 5 years, the total return of 23.9% of Paychex is lower, thus worse.
  • Compared with SPY (76.3%) in the period of the last 3 years, the total return, or performance of -6.6% 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.'

Which means for our asset as example:
  • Looking at the annual performance (CAGR) of 4.4% in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (14.3%)
  • Compared with SPY (20.9%) in the period of the last 3 years, the annual return (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.'

Which means for our asset as example:
  • Compared with the benchmark SPY (17%) in the period of the last 5 years, the historical 30 days volatility of 23.1% of Paychex is larger, thus worse.
  • During the last 3 years, the volatility is 22.3%, which is larger, thus worse than the value of 15.1% from the benchmark.

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.'

Using this definition on our asset we see for example:
  • Looking at the downside risk of 16.7% 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 deviation of 16.6% is larger, 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.'

Applying this definition to our asset in some examples:
  • Looking at the ratio of return and volatility (Sharpe) of 0.08 in the last 5 years of Paychex, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.7)
  • Compared with SPY (1.22) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of -0.21 is smaller, thus worse.

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (1.01) in the period of the last 5 years, the downside risk / excess return profile of 0.11 of Paychex is lower, thus worse.
  • Compared with SPY (1.82) in the period of the last 3 years, the ratio of annual return and downside deviation of -0.29 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.'

Which means for our asset as example:
  • Looking at the Downside risk index of 14 in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (8.42 )
  • Looking at Downside risk index in of 13 in the period of the last 3 years, we see it is relatively larger, thus worse in comparison to SPY (3.4 ).

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -43.8 days of Paychex is lower, thus worse.
  • During the last 3 years, the maximum DrawDown is -43.8 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

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'

Applying this definition to our asset in some examples:
  • 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 larger, thus worse.
  • Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 185 days is higher, 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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (119 days) in the period of the last 5 years, the average days below previous high of 177 days of Paychex is larger, thus worse.
  • Compared with SPY (19 days) in the period of the last 3 years, the average time in days below previous high water mark of 48 days is higher, thus worse.

Performance (YTD)

Historical returns have been extended using synthetic data.

Allocations ()

Allocations

Returns (%)

  • Note that yearly returns do not equal the sum of monthly returns due to compounding.
  • Performance results of Paychex are hypothetical and do not account for slippage, fees or taxes.