Suppose that you are an otherwise law-abiding college professor earning $80,000 a year. Suppose further that you are confronted with the opportunity to steal a painting worth an estimated $350,000 on the black market. You know full well that if you get caught and convicted, you could face a prison sentence of 10 years plus a fine of $5,000. The estimated arrest rate in your state for such crimes is 25% while the conviction rate is around 80%. (a) Calculate your expected MB and MC. Assuming that you are a rational thief, would you steal the painting? (b) All Else Equal, what would the jail sentence have to be to make you indifferent between stealing the painting and not? (c) All Else Equal, what would the fine have to be to make you indifferent between stealing and not stealing? (d) All Else Equal, what would the joint probability of arrest and conviction [probability of arrest x probability of conviction] be to make you indifferent?
Suppose that you are an otherwise law-abiding college professor earning $80,000 a year. Suppose further that you are confronted with the opportunity to steal a painting worth an estimated $350,000 on the black market. You know full well that if you get caught and convicted, you could face a prison sentence of 10 years plus a fine of $5,000. The estimated arrest rate in your state for such crimes is 25% while the conviction rate is around 80%. (a) Calculate your expected MB and MC. Assuming that you are a rational thief, would you steal the painting? (b) All Else Equal, what would the jail sentence have to be to make you indifferent between stealing the painting and not? (c) All Else Equal, what would the fine have to be to make you indifferent between stealing and not stealing? (d) All Else Equal, what would the joint probability of arrest and conviction [probability of arrest x probability of conviction] be to make you indifferent?
Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter16: Information, Risk, And Insurance
Section: Chapter Questions
Problem 7RQ: What are some ways a seller of labor (that is, someone looking for a job) might reassure a possible...
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Suppose that you are an otherwise law-abiding college professor earning $80,000 a year. Suppose
further that you are confronted with the opportunity to steal a painting worth an estimated $350,000
on the black market. You know full well that if you get caught and convicted, you could face a prison
sentence of 10 years plus a fine of $5,000. The estimated arrest rate in your state for such crimes is 25%
while the conviction rate is around 80%.
(a) Calculate your expected MB and MC. Assuming that you are a rational thief, would you steal the
painting?
(b) All Else Equal, what would the jail sentence have to be to make you indifferent between stealing
the painting and not?
(c) All Else Equal, what would the fine have to be to make you indifferent between stealing and not
stealing?
(d) All Else Equal, what would the joint probability of arrest and conviction [probability of arrest x
probability of conviction] be to make you indifferent?
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Step 1: Define Marginal Benefit and Marginal Cost
VIEWStep 2: (a) Determine expected Marginal Benefit (MB) and Expected Marginal Cost (MC)
VIEWStep 3: (b) Determine Indifference Point for Jail Sentence
VIEWStep 4: c) Determine Indifference Point for Fine
VIEWStep 5: (d) Determine Indifference Point for Joint Probability
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