A household has initial wealth of $102,400. Out of this, $24,000 is in the form of valuables that could potentially be stolen, and the probability of a burglary in which they are stolen is 0.10. The household's utility from their final level of wealth, W, is v(W) = vW. %3D a) If an insurance company offers a policy that pays out $24,000 if the valuables are stolen but costs $2,400 in premiums, should the household purchase it (assuming the household wants to maximize expected utility)? b) Explain in words why a policy that costs a little more than $2,400 might be mutually beneficial to both the household and a (risk neutral) insurance company.
A household has initial wealth of $102,400. Out of this, $24,000 is in the form of valuables that could potentially be stolen, and the probability of a burglary in which they are stolen is 0.10. The household's utility from their final level of wealth, W, is v(W) = vW. %3D a) If an insurance company offers a policy that pays out $24,000 if the valuables are stolen but costs $2,400 in premiums, should the household purchase it (assuming the household wants to maximize expected utility)? b) Explain in words why a policy that costs a little more than $2,400 might be mutually beneficial to both the household and a (risk neutral) insurance company.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A household has initial wealth of $102,400. Out of this, $24,000 is in the form of valuables that
could potentially be stolen, and the probability of a burglary in which they are stolen is 0.10.
The household's utility from their final level of wealth, W, is v(W) = vW.
a) If an insurance company offers a policy that pays out $24,000 if the valuables are stolen
but costs $2,400 in premiums, should the household purchase it (assuming the
household wants to maximize expected utility)?
b) Explain in words why a policy that costs a little more than $2,400 might be mutually
beneficial to both the household and a (risk neutral) insurance company.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e9f74db-68ca-409f-99ca-c3b15e89955c%2F7cba289a-4d75-43a2-b4c0-d61b4c0f9791%2Fpiin8j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A household has initial wealth of $102,400. Out of this, $24,000 is in the form of valuables that
could potentially be stolen, and the probability of a burglary in which they are stolen is 0.10.
The household's utility from their final level of wealth, W, is v(W) = vW.
a) If an insurance company offers a policy that pays out $24,000 if the valuables are stolen
but costs $2,400 in premiums, should the household purchase it (assuming the
household wants to maximize expected utility)?
b) Explain in words why a policy that costs a little more than $2,400 might be mutually
beneficial to both the household and a (risk neutral) insurance company.
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