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In: Economics

A firm wants to purchase fire insurance for its main factory. The probability of a fire...

  1. A firm wants to purchase fire insurance for its main factory. The probability of a fire in the factory without a fire-prevention program is 0.01; with a fire-prevention program the probability of a fire drops to 0.001. The fire-prevention programs costs $80 to run and a fire would result in a loss of $300,000. Suppose the firm is risk- neutral and the insurance company cannot observe whether or not it has implemented the fire-prevention program.

    1. Would the firm implement the fire-prevention program if insurance was unavail- able? Explain.

    2. How much would the firm be willing to pay to fully insure against the fire loss? Explain. Note: full insurance means that, in case of a fire, $300,000 is remitted to the firm.

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