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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (67.8%) in the period of the last 5 years, the total return, or increase in value of 88.2% of Paychex is larger, thus better.
  • During the last 3 years, the total return, or increase in value is 61.1%, which is larger, thus better than the value of 44.5% 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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (10.9%) in the period of the last 5 years, the compounded annual growth rate (CAGR) of 13.5% of Paychex is larger, thus better.
  • Looking at compounded annual growth rate (CAGR) in of 17.3% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (13.1%).

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.'

Using this definition on our asset we see for example:
  • The historical 30 days volatility over 5 years of Paychex is 29%, which is greater, thus worse compared to the benchmark SPY (21.4%) in the same period.
  • Looking at 30 days standard deviation in of 24.7% in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (18.8%).

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:
  • The downside risk over 5 years of Paychex is 20.5%, which is greater, thus worse compared to the benchmark SPY (15.4%) in the same period.
  • Compared with SPY (13.3%) in the period of the last 3 years, the downside risk of 17% 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.'

Using this definition on our asset we see for example:
  • The ratio of return and volatility (Sharpe) over 5 years of Paychex is 0.38, which is lower, thus worse compared to the benchmark SPY (0.39) in the same period.
  • During the last 3 years, the Sharpe Ratio is 0.6, which is higher, thus better than the value of 0.56 from the benchmark.

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.'

Which means for our asset as example:
  • The excess return divided by the downside deviation over 5 years of Paychex is 0.54, which is lower, thus worse compared to the benchmark SPY (0.55) in the same period.
  • During the last 3 years, the downside risk / excess return profile is 0.87, which is higher, thus better than the value of 0.79 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.'

Using this definition on our asset we see for example:
  • The Ulcer Ratio over 5 years of Paychex is 11 , which is higher, thus worse compared to the benchmark SPY (9.46 ) in the same period.
  • Compared with SPY (10 ) in the period of the last 3 years, the Ulcer Index of 11 is larger, thus worse.

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.'

Which means for our asset as example:
  • The maximum drop from peak to valley over 5 years of Paychex is -44.2 days, which is smaller, thus worse compared to the benchmark SPY (-33.7 days) in the same period.
  • Compared with SPY (-24.5 days) in the period of the last 3 years, the maximum DrawDown of -23.4 days is larger, thus better.

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.'

Using this definition on our asset we see for example:
  • Compared with the benchmark SPY (352 days) in the period of the last 5 years, the maximum days below previous high of 287 days of Paychex is lower, thus better.
  • Looking at maximum days under water in of 287 days in the period of the last 3 years, we see it is relatively lower, thus better in comparison to SPY (352 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.'

Which means for our asset as example:
  • The average time in days below previous high water mark over 5 years of Paychex is 71 days, which is smaller, thus better compared to the benchmark SPY (78 days) in the same period.
  • During the last 3 years, the average days under water is 73 days, which is smaller, thus better than the value of 102 days from the benchmark.

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, do not account for slippage, fees or taxes, and are based on backtesting, which has many inherent limitations, some of which are described in our Terms of Use.