Suppose Firm B is selling 1-year insurance contracts for houses. Suppose Firm B's customers are divided into three categories with different probabilities of needing a payment. First category will ask for a payment of 500000 with probability 0.10, the second category will ask for a payment of 250000 with probability 0.15 and the third category will ask for a payment of 100000 with probability 0.2 a. Calculate Firm B's expected payment for the year. Suppose Firm B has 120 customers in the first category, 230 in the second category and 405 in the third category. b. Calculate individual premium if Firm B charges the same amount to all its customers.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
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6- Suppose Firm B is selling 1 -year insurance contracts for houses. Suppose Firm B's
customers are divided into three categories with different probabilities of needing a
payment. First category will ask for a payment of 500000 with probability 0.10, the
second category will ask for a payment of 250000 with probability 0.15 and the third
category will ask for a payment of 100000 with probability 0.2
a. Calculate Firm B's expected payment for the year.
Suppose Firm B has 120 customers in the first category, 230 in the second category
and 405 in the third category.
b. Calculate individual premium if Firm B charges the same amount to all its customers.
1
c. Calculate individual premium if Firm B utilizes the risk groups and charges the same
amount of premium within groups
d. Which group/groups are more likely to buy the insurance with group pricing
compared to the case with uniform pricing?
Transcribed Image Text:6- Suppose Firm B is selling 1 -year insurance contracts for houses. Suppose Firm B's customers are divided into three categories with different probabilities of needing a payment. First category will ask for a payment of 500000 with probability 0.10, the second category will ask for a payment of 250000 with probability 0.15 and the third category will ask for a payment of 100000 with probability 0.2 a. Calculate Firm B's expected payment for the year. Suppose Firm B has 120 customers in the first category, 230 in the second category and 405 in the third category. b. Calculate individual premium if Firm B charges the same amount to all its customers. 1 c. Calculate individual premium if Firm B utilizes the risk groups and charges the same amount of premium within groups d. Which group/groups are more likely to buy the insurance with group pricing compared to the case with uniform pricing?
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