EBK PFIN
6th Edition
ISBN: 8220103648844
Author: Billingsley
Publisher: CENGAGE L
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Question
Chapter 2, Problem 2LO
Summary Introduction
To prepare: The personal
Personal balance sheet refers to the overall wealth of an individual for a specific period of time.
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Question 6
A five-year $50,000 endowment insurance for (60) has $1,000 underwriting expenses, 25% of the first
premium is commission for the agent of record and renewal expenses are 5% of subsequent premiums.
Write the gross future loss random variable:
Presuming a portfolio of 10,000 identical and independent policies, the expected loss and the variance
of the loss of the portfolio are given below (note that the premium basis is not given or needed):
E[L] = 10,000(36,956.49 - 3.8786P)
V[L] 10,000 (50,000 + 14.52P)². 0.00095
Find the premium that results in a 97.5% probability of profit (i.e. ¹ (0.975) = 1.96).
Premium:
Please show your work below
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