# Jobs Calculator™

• Jobs Calculator
• State by State
• Frequently Asked Questions
• Surveys and Statistics

Updated 8/1/2014
The Jobs Calculator calculates the net employment change needed to achieve a target unemployment rate after a specified number of months. The user can adjust the target unemployment rate, the number of months, and the assumed labor force growth. See the Surveys and Statistics tab for information on the formulas, definitions, and data behind the Jobs Calculator.

 Target and Time Frame: Enter the target unemployment rate (as XX.X%). % Enter how many months until target unemployment rate is achieved. Results: Average monthly change in payroll employment needed to achieve the target unemployment rate: 0 Show Household Employment Results (CPS)
Historical Perspective
 Labor Market Statistic Changeable Assumptions Current Statistics* Civilian noninstitutional population, 16yr+, (CPS, Household Survey) 248,023,000 Employment (CPS) 146,352,000 Employment (CES, Establishment Survey) 139,004,000 Average monthly CES/CPS employment ratio (enter as X.XXX) 0.949 Number of unemployed (CPS) 9,671,000 Civilian labor force (CPS) 0 Unemployment rate (CPS) 0% Labor force participation rate (CPS) (enter as XX.X%): % 0% Average monthly population growth rate (enter as X.XXXX%): % 0.077% Based on the assumed labor force participation rate and monthly population growth rate, the following monthly growth rate for the labor force is implied: 0% * July data, updated August 1, 2014, seasonally adjusted. Sources: U.S. Bureau of Labor Statistics, Current Employment Statistics (CES), and Current Population Survey (CPS).

## Frequently Asked Questions

Why does the Federal Reserve care about the unemployment rate?

What are the sources of the numbers behind the Jobs Calculator?

Why does household employment differ from payroll employment?

Does a decline in the labor force participation rate mean people are leaving the labor force because they are discouraged about finding a job?

How important is labor force growth in hitting the target unemployment rate anyway?

What about other measures of unemployment?

Where can I find more information on the unemployment rate?

I see that the national statistics have been updated for the Jobs Calculator. Why are the state data not updated yet?

Q: Why does the Federal Reserve care about the unemployment rate?
A: Section 2A of the Federal Reserve Act states, "The Board of Governors of the Federal Reserve System and the Federal Open Market Committee shall maintain long-run growth of the monetary and credit aggregates commensurate with the economy's long run potential to increase production, so as to promote effectively the goals of maximum employment, stable prices, and moderate long-term interest rates." This part of the Federal Reserve Act is often referred to as the Fed's "dual mandate." Basically, it states that the Federal Reserve's monetary policy has the goals of stable prices and maximum employment. The unemployment rate is the most popular statistic that measures the degree to which the Federal Reserve has achieved the goal of maximum employment.

Q: What are the sources of the numbers behind the Jobs Calculator?
A: The current labor market statistics reported each month by the U.S. Bureau of Labor Statistics (BLS) are used to support the Jobs Calculator. These statistics are derived from two surveys, the Household, or Current Population, Survey and the Establishment, or Payroll, Survey. (For definitions of terms and concepts, consult the official BLS Handbook of Methods.) Of course, these sources supply the underlying statistics; the user supplies the desired unemployment rate and time frame.

Q: Why does household employment differ from payroll employment?
A: The Establishment Survey estimates the number of jobs for which a paycheck was written in the United States during a particular pay period, whereas the Household Survey is a measure of individual employment status. For example, if one person holds two jobs, the Establishment Survey will count two jobs, but the Household Survey counts one person employed.

The difference arises mostly because the scope of the Household Survey is broader than the Establishment Survey. The Household Survey includes the self-employed, unpaid family workers, agricultural workers, and private household workers—all of these workers are excluded from the sample frame for the Payroll Survey.

The two employment numbers typically follow the same cyclical paths, although the gap has varied from time to time. (See research such as Juhn and Potter 1999 and Wu 2004 for further information.)

Q: Does a decline in the labor force participation rate mean people are leaving the labor force because they are discouraged about finding a job?
A: According to the BLS definition, a discouraged worker is someone who wants a job, is available to work, has sought work sometime in the previous 12 months, but has not looked for work in the previous four weeks because of a belief that no jobs for which they would qualify are available. On average, 93 percent of those not in the labor force in 2011 said that they did not want a job so they would not have been eligible to be classified as discouraged. Among those who were not currently in the labor force, but who wanted a job and had looked for work in the previous 12 months, 38 percent were classified as "discouraged," 8 percent were not in the labor force because of family responsibilities, 13 percent were in school or undergoing training, 6 percent indicated health or disability for their reason to not be in the labor force, and 34 percent were out of the labor force for some other unspecified reason.

Q: How important is labor force growth in hitting the target unemployment rate anyway?
A: It's very important. The labor force and the unemployment rate together determine the new level of employment (see the details for how the Jobs Calculator works), as shown here:

New Employment = (1 – New Unemployment Rate) x New Labor Force

The number of months necessary to achieve a given unemployment rate is also important. For example, try using the Jobs Calculator to change only the number of months. Leave everything else the same and notice what happens to the implied monthly growth in the labor force. Keeping the labor force participation rate and population growth constant, the longer the time period you allow, the smaller the implied growth in the labor force—and, consequently, the fewer number of net jobs need to be created each month to absorb the implied change in the labor force.

Q: What about other measures of unemployment?
A: The Jobs Calculator uses the definition of unemployment and labor force most commonly highlighted in the media and economic research (see the BLS's explanation). The BLS also computes five other unemployment rate measures using different definitions of the labor force—for example, including discouraged job seekers. In general, these various unemployment rate measures tend to move together over time.

Q: Where can I find more information on the unemployment rate?
A: The BLS website is a great resource. See, for example, "How the Government Measures Unemployment" or the FAQs about labor force statistics.

Q: I see that the national statistics have been updated for the Jobs Calculator. Why are the state data not updated yet?
A: There is a two- to three-week lag between when the national employment report is released and when the Local Area Unemployment Statistics (LAUS) are released. You can find the schedule of release dates for the LAUS here.

## How Many Jobs? Details behind the Jobs Calculator

The number of jobs an economy supports, the number of people who want jobs but don't have one, the number of people willing to work...these are all factors that define the state of the labor market. The purpose of this page is to explain what is behind the Jobs Calculator.

On the first Friday of every month, the U.S. Bureau of Labor Statistics (BLS) reports statistics that define the condition of the U.S. labor market. The two statistics superstars—the ones that get the most attention—are the payroll employment numbers and the unemployment rate. The question that seems be on everyone's mind is, how many new jobs does the economy need to create each month to reduce the unemployment rate to some specific level? The purpose of the Jobs Calculator is to allow the user to answer that very question, based on certain assumptions (some of which the user can adjust).

The payroll employment numbers and the unemployment rate are estimated by the BLS from responses to two separate surveys.

Establishment Survey
Through the Current Employment Statistics (CES) program, the BLS surveys approximately 141,000 nonfarm businesses, covering about 486,000 worksites, asking employers about employment, hours, and earnings of their workers. This survey of establishments is commonly referred to as the Payroll Survey.

The total employment number that is reported from this survey reflects an estimate of the number of people in the United States who received a paycheck for work during the pay period that includes the 12th day of the month. This count is considered to most accurately give the total number of jobs in the United States at a given point in time.

Household Survey
The BLS also surveys about 60,000 households every month to obtain estimates of employment and nonemployment activity, total income, and demographics of the population of the United States (those 16 years and older). The reference period for activity is the same week as the Establishment Survey: the week that includes the 12th day of the month. The Household Survey is officially called the Current Population Survey (CPS).

From responses to the Household Survey, the BLS calculates the total labor force, the labor force participation rate, and the unemployment rate. While the user should consult the official BLS Handbook of Methods for complete definitions of these terms, here are the basic concepts and formulas:

Employed (E): A person who has a job for pay, is temporarily absent from work, or works unpaid in a family business.

Unemployed (U): A person who does not have a job, is available to work, and has looked for work during the previous four weeks.

Labor Force (LF): The sum of everyone who is employed and unemployed (restricted to noninstitutionalized civilians).

Labor Force Participation Rate (LFPR): The labor force divided by the population (POP), LFPR = LF/POP.

Unemployment Rate (UR): The number unemployed divided by the labor force, UR = U/LF.

How the Jobs Calculator works
As the formulas above show, in order to calculate how many new jobs are needed to move the UR from one number to another, one needs to make an assumption about the growth in the labor force. The labor force can grow as people enter or return to the labor market (for example, people graduating high school or college and looking for a first job, or new immigrants looking for work upon arrival to the United States). The labor force can also shrink based on people leaving the labor force (for example, to retire, return to school, or care for household members). It's not easy to predict how changes in demographics or behavior will change the size of the labor force (see several papers on this subject in the additional reading section below).

As an example, suppose that total employment in one month (period 1) is E1 and the unemployment rate in the same month is UR1. Suppose we want to know how many new jobs (E2-E1) will be needed in order to reduce the unemployment rate to some level in period 2, UR2. This number is determined by the following formula:
E
2-E1 = [(1-UR2)*LF2]-E1.

This formula is derived by the following manipulation of the formula for the unemployment rate:
UR
2 = (U2/LF2) = (LF2 - E2)/LF2. Solving for E2 and subtracting the first period's employment level, E1, produces the formula above.

It's clear that an assumption about what the labor force looks like in period 2 is crucial; the greater the increase in the labor force, the greater the increase in employment required to attain a particular unemployment rate, UR2. The Jobs Calculator allows the user to investigate the impact a different growth rate in the labor force has on the number of jobs that are needed to attain a certain unemployment rate by changing assumptions about the labor force participation rate and the monthly population growth rate. The higher the labor force participation rate (for a given population growth), the greater the growth in the labor force. The higher the population growth rate (for a given labor force participation), the greater the growth in the labor force.

Translating the number of jobs from household employment to payroll employment
One might expect that the employment estimate produced by the Establishment and Household surveys would be the same number. Theoretically, they both claim to estimate the number of jobs in the economy. However, they are different for several reasons.

The Establishment Survey estimates the number of jobs in the United States for which a paycheck was written during a particular pay period, whereas the Household Survey is a measure of employment activity. For example, if one person holds two jobs, the Establishment Survey will count the two jobs, but the Household Survey counts one person employed.

In addition—and the main source of the difference—is that the scope of the Household Survey is broader than the Establishment Survey. The Household Survey includes the self-employed, unpaid family workers, agricultural workers, and private household workers—all of these workers are excluded from the Establishment Survey.

Since the headline jobs number refers to the payroll employment from the Establishment Survey and the unemployment rate comes from the Household Survey, the Jobs Calculator makes a simple transformation to the household employment calculation to produce the estimate of the number of payroll jobs needed.

What follows is how that transformation is made.

Suppose R is the CES/CPS multiplier. This means that for every one CPS job that is created, R CES jobs are assumed to be created. In other words, (CES employment)=R*(CPS employment). Then, the number of CES jobs that needs to be created over t months to reach the target unemployment rate can be expressed completely as a function of the number of CPS jobs that need to be created:

ΔCES/t = (CES2-CES1)/t = (R*CPS2 - R*CPS1)/t = R*(CPS2 - CPS1)/t = R*ΔCPS/t

Over the period of 1980 to the present, this CES/CPS multiplier has varied only between 0.90 to about 0.97. That sort of variation does not dramatically impact the calculated number of CES jobs that need to be created (given a calculated number of CPS jobs). However, the users can adjust this ratio themselves.

A matter of rounding
The BLS reports current level statistics in thousands and percentages rounded to the nearest thousandth of a decimal point. The Jobs Calculator takes the reported (rounded) values of the population level, the unemployment rate, the labor force participation rate, the CES/CPS ratio, and monthly population growth as given and recalibrates levels of total employment, total unemployment, and total labor force based on those reported values. So, for example, if the BLS reports a population level equal to 247,814,000 and a labor force participation rate of 62.8 percent, then the starting value for total labor force will be calculated as (0.628*247,814,000=) 155,627,192—whereas the BLS would have reported a rounded number for the labor force of something like 155,695,000. This recalibration is necessary to more accurately calculate changes from current values.

Default assumptions
The Jobs Calculator makes three assumptions the user can adjust. The default monthly population growth is set so that it equals the average monthly population growth during the previous 12 months (excluding months in which Census population adjustments were made). The default labor force participation rate is set so that it equals the current month's labor force participation rate. The default CES/CPS multiplier is set so that it equals the average over the previous twelve months of the ratio of payroll employment to household employment.

Growth rates
For simplicity, in order to obtain the population and labor force levels at the end of the number of months indicated, the average monthly growth rates are applied evenly to the initial population and labor force values. This approach is in contrast to compounding growth, which would apply the growth rate to ever-increasing levels of population and labor force over the time period of interest.

State Jobs Calculator Data
The state Jobs Calculator data come from the same Establishment Survey as for the national Jobs Calculator, and also from the Local Area Unemployment Statistics (LAUS) programs run by each state. The LAUS contain the regional and state employment statistics that are consistent with data from the Current Population Survey. The U.S. Census Bureau provides state-level population estimates (described here).

LAUS data are generally issued about the third Friday of each month following the reference month, which means that the state Jobs Calculator statistics are updated about two weeks after the national Jobs Calculator. The schedule of release dates can be found here on the Bureau of Labor Statistic website.

The definitions of terms and the formulas used to calculate employment needed to obtain a specific state-level unemployment rate are the same as they are for the national data.

Abraham, Katharine G.; John Haltiwanger; Kristin Sandusky; and James R. Spletzer. "Exploring Differences in Employment between Household and Establishment Data." Journal of Labor Economics 31(2) (April 2013): S129-S172.

Fallick, Bruce, and Jonathan Pingle. "A Cohort-Based Model of Labor Force Participation." Federal Reserve Board, Divisions of Research & Statistics and Monetary Affairs, Finance and Economics Discussion Series #2007-09.

Hall, Robert E. "Labor Market Frictions and Employment Fluctuations." NBER Working Paper no. 6501 (April 1998).

Hotchkiss, Julie L. "Changes in the Aggregate Labor Force Participation Rate." Federal Reserve Bank of Atlanta Economic Review 94(4) 2009: 1–6.

———. "Changes in Behavioral and Characteristic Determination of Female Labor Force Participation, 1975–2005." Federal Reserve Bank of Atlanta Economic Review Q2 2006: 1–20.

———. "Employment Growth and Labor Force Participation: How Many Jobs Are Enough?" Federal Reserve Bank of Atlanta Economic Review Q1 2005: 1–13

Juhn, Chinhui and Simon Potter. "Explaining the Recent Divergence in Payroll and Household Employment Growth." Federal Reserve Bank of New York Current Issues in Economics and Finance 5(16) (December 1999): 1–6.

Wu, Tao. "Two Measures of Employment: How Different Are They?" Federal Reserve Bank of San Francisco Economic Letter (August 27, 2004).

©2012 Federal Reserve Bank of Atlanta. All Rights Reserved. Permission is granted to reproduce for personal and educational use only.