Suppose that Skipper's insurer views him as having the following distribution for the present value of losses: (i) (ii) Probability 0.02 0.04 0.10 0.84 Loss $20,000 5,000 1,000 0 What is the fair premium for full coverage if the competitive loading (administrative costs and capital costs) equals 15% of expected claim cost? Suppose that Skipper believes his probabilities of losses are one-half of what the insurer believes (expected claim). What is the loading- as a dollar value, and as a percentage of the expected claim on the policy from Skipper's perspective?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.3: Single-stage Decision Problems
Problem 5P
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Suppose that Skipper's insurer views him as having the following distribution for the
present value of losses:
(i)
Probability
0.02
0.04
0.10
0.84
Loss
$20,000
5,000
1,000
0
What is the fair premium for full coverage if the competitive loading
(administrative costs and capital costs) equals 15% of expected claim cost?
Suppose that Skipper believes his probabilities of losses are one-half of what the
insurer believes (expected claim). What is the loading- as a dollar value, and as a
percentage of the expected claim on the policy from Skipper's perspective?
Transcribed Image Text:Suppose that Skipper's insurer views him as having the following distribution for the present value of losses: (i) Probability 0.02 0.04 0.10 0.84 Loss $20,000 5,000 1,000 0 What is the fair premium for full coverage if the competitive loading (administrative costs and capital costs) equals 15% of expected claim cost? Suppose that Skipper believes his probabilities of losses are one-half of what the insurer believes (expected claim). What is the loading- as a dollar value, and as a percentage of the expected claim on the policy from Skipper's perspective?
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