Two building owners - Alice and Bob - each own a building worth $1,000,000. They are considering forming a mutual insurance pool. Based on historical data, there are three possible fire damage scenarios for each building in a given year: No damage: 85% probability Partial damage: 12% probability, with repair costs of $200,000 Total loss: 3% probability, with a cost of $1,000,000 Calculate the standard deviation

Two building owners - Alice and Bob - each own a building worth $1,000,000. They are considering forming a mutual insurance pool. Based on historical data, there are three possible fire damage scenarios for each building in a given year: No damage: 85% probability Partial damage: 12% probability, with repair costs of $200,000 Total loss: 3% probability, with a cost of $1,000,000 Calculate the standard deviation

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter15: Decision Analysis

Section: Chapter Questions

Problem 20P: Alexander Industries is considering purchasing an insurance policy for its new office building in...

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Alexander Industries is considering purchasing an insurance policy for its new officebuilding in St. Louis, Missouri. The policy has an annual cost of $10,000. If Alexander Industriesdoesn’t purchase the insurance and minor fire damage occurs, a cost of $100,000is anticipated; the cost if major or total destruction occurs is $200,000. The costs, includingthe state-of-nature probabilities, are as follows: a. Using the expected value approach, what decision do you recommend?
Alexander Industries is considering purchasing an insurance policy for its new office building in St. Louis, Missouri. The policy has an annual cost of $10,000. If Alexander Industries doesn’t purchase the insurance and minor fire damage occurs, a cost of $100,000 is anticipated; the cost if major or total destruction occurs is $200,000. The costs, including the state-of-nature probabilities, are as follows: Using the expected value approach, what decision do you recommend? What lottery would you use to assess utilities? (Note: Because the data are costs, the best payoff is $0.) Assume that you found the following indifference probabilities for the lottery defined in part (b). What decision would you recommend? Do you favor using expected value or expected utility for this decision problem? Why?
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