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.'

Applying this definition to our asset in some examples:
  • Compared with the benchmark SPY (87%) in the period of the last 5 years, the total return, or increase in value of 21.5% of Paychex is smaller, thus worse.
  • Compared with SPY (78.1%) in the period of the last 3 years, the total return, or increase in value of 7.1% is smaller, 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:
  • Compared with the benchmark SPY (13.4%) in the period of the last 5 years, the annual return (CAGR) of 4% of Paychex is lower, thus worse.
  • During the last 3 years, the compounded annual growth rate (CAGR) is 2.3%, which is lower, thus worse than the value of 21.3% from the benchmark.

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:
  • Looking at the historical 30 days volatility of 24.4% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (17.2%)
  • During the last 3 years, the historical 30 days volatility is 23.7%, which is greater, thus worse than the value of 15.4% 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 volatility of 17.3% in the last 5 years of Paychex, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.8%)
  • Compared with SPY (10.3%) in the period of the last 3 years, the downside risk of 17.2% 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:
  • Compared with the benchmark SPY (0.63) in the period of the last 5 years, the ratio of return and volatility (Sharpe) of 0.06 of Paychex is lower, thus worse.
  • Looking at risk / return profile (Sharpe) in of -0.01 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.22).

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 (0.92) in the period of the last 5 years, the downside risk / excess return profile of 0.09 of Paychex is smaller, thus worse.
  • During the last 3 years, the excess return divided by the downside deviation is -0.01, which is smaller, thus worse than the value of 1.82 from the benchmark.

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.'

Which means for our asset as example:
  • The Ulcer Index over 5 years of Paychex is 17 , which is greater, thus worse compared to the benchmark SPY (8.45 ) in the same period.
  • Compared with SPY (3.38 ) in the period of the last 3 years, the Ulcer Ratio of 19 is higher, 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:
  • Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum reduction from previous high of -45 days of Paychex is lower, thus worse.
  • During the last 3 years, the maximum drop from peak to valley is -45 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'

Which means for our asset as example:
  • The maximum time in days below previous high water mark over 5 years of Paychex is 603 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
  • During the last 3 years, the maximum time in days below previous high water mark is 293 days, which is higher, thus worse than the value of 87 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.'

Using this definition on our asset we see for example:
  • The average time in days below previous high water mark over 5 years of Paychex is 193 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
  • Compared with SPY (18 days) in the period of the last 3 years, the average days under water of 78 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.