Assume that unemployment at date t+1, Ut+1, is defined as: Ut+1 = Ut Mt + St, (1) where Ut is unemployment at date t, Mt is the number of jobless who match with a job, and St is the number of employed people who leave their job and join unemployment at date t. Assume that each period a fraction m of the unemployed is matched: mUt = Mt Assume that every period, a proportion of the employed leaves their jobs: St = sEt = s(POP Ut), where POP is the total workforce (and everyone in this population either works or is unemployed). Assume that s+m 1. Calculate the steady-state
Assume that unemployment at date t+1, Ut+1, is defined as: Ut+1 = Ut Mt + St, (1) where Ut is unemployment at date t, Mt is the number of jobless who match with a job, and St is the number of employed people who leave their job and join unemployment at date t. Assume that each period a fraction m of the unemployed is matched: mUt = Mt Assume that every period, a proportion of the employed leaves their jobs: St = sEt = s(POP Ut), where POP is the total workforce (and everyone in this population either works or is unemployed). Assume that s+m 1. Calculate the steady-state
Chapter6: Business Cycles And Unemployment
Section: Chapter Questions
Problem 10SQ
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![Assume that unemployment at date t+1, Ut+1, is defined as: Ut+1 = Ut Mt + St, (1) where Ut is unemployment
at date t, Mt is the number of jobless who match with a job, and St is the number of employed people who
leave their job and join unemployment at date t.
Assume that each period a fraction m of the unemployed is matched: mUt = Mt Assume that every period, a
proportion of the employed leaves their jobs: St = sEt = s(POP Ut), where POP is the total workforce (and
everyone in this population either works or is unemployed). Assume that s+m 1. Calculate the steady-state
unemployment rate by substituting these formulas into equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd766d8f3-72d8-4283-b2bb-2a7986741a74%2F0a8a975f-1418-4940-ada5-a6e5d2f129c8%2F4a1vt2h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that unemployment at date t+1, Ut+1, is defined as: Ut+1 = Ut Mt + St, (1) where Ut is unemployment
at date t, Mt is the number of jobless who match with a job, and St is the number of employed people who
leave their job and join unemployment at date t.
Assume that each period a fraction m of the unemployed is matched: mUt = Mt Assume that every period, a
proportion of the employed leaves their jobs: St = sEt = s(POP Ut), where POP is the total workforce (and
everyone in this population either works or is unemployed). Assume that s+m 1. Calculate the steady-state
unemployment rate by substituting these formulas into equation.
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