Suppose 25,000 persons become unemployed. You are given the following data about the length of unemployment spells in the economy:Duration of Spell (in months)       Exit Rate1                                                            0.602                                                            0.203                                                            0.204                                                            0.205                                                            0.206                                                            1.00where the exit rate for month t gives the fraction of unemployed persons who have been unemployed t months and who “escape” unemployment at the end of the month.a. How many unemployment-months will the 25,000 unemployed workers experience?b. What fraction of persons who are unemployed are “long-term unemployed” in that their unemployment spells will last five or more months?c. What fraction of unemployment months can be attributed to persons who are long-term une mployed?d. What is the nature of the unemployment problem in this example: too many workers losing their jobs or too many long spells?

Exploring Economics
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ISBN:9781544336329
Author:Robert L. Sexton
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Chapter18: Introduction To Macroeconomics: Unemployment, Inflation, And Economic Fluctuations
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Suppose 25,000 persons become unemployed. You are given the following data about the length of unemployment spells in the economy:

Duration of Spell (in months)       Exit Rate
1                                                            0.60
2                                                            0.20
3                                                            0.20
4                                                            0.20
5                                                            0.20
6                                                            1.00

where the exit rate for month t gives the fraction of unemployed persons who have been unemployed t months and who “escape” unemployment at the end of the month.
a. How many unemployment-months will the 25,000 unemployed workers experience?
b. What fraction of persons who are unemployed are “long-term unemployed” in that their unemployment spells will last five or more months?
c. What fraction of unemployment months can be attributed to persons who are long-term une mployed?
d. What is the nature of the unemployment problem in this example: too many workers losing their jobs or too many long spells?

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