= e- where Policyholders are assumed to have a utility function u(x) e > 0 varies between policyholders following an exponential distribution with unknown mean. An insurance company sells an insurance policy which covers a risk which causes a loss of $6,000 with probability 0.4. There are 3,000,000 potential customers for this policy. The insurer finds that when the premium for the policy is set to $3000, they are able to sell 952,000 policies. How many policies would they sell if they increased the premium to $4,000?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.5P
icon
Related questions
Question
6. Policyholders are assumed to have a utility function u(x) = e- where
> 0 varies between policyholders following an exponential distribution
with unknown mean. An insurance company sells an insurance policy
which covers a risk which causes a loss of $6,000 with probability 0.4.
There are 3,000,000 potential customers for this policy. The insurer finds
that when the premium for the policy is set to $3000, they are able to sell
952,000 policies. How many policies would they sell if they increased the
premium to $4,000?
Transcribed Image Text:6. Policyholders are assumed to have a utility function u(x) = e- where > 0 varies between policyholders following an exponential distribution with unknown mean. An insurance company sells an insurance policy which covers a risk which causes a loss of $6,000 with probability 0.4. There are 3,000,000 potential customers for this policy. The insurer finds that when the premium for the policy is set to $3000, they are able to sell 952,000 policies. How many policies would they sell if they increased the premium to $4,000?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Probability and Expected Value
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage