A term life insurance policy will pay a beneficiary a certain sum of money on the death

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A term life insurance policy will pay a beneficiary a certain sum of money on the death of the policyholder. These policies have premiums that must be paid annually. Suppose the company is considering selling 1-year term life insurance for $550,000 with a cost of $1050 to either a 59-year-old male or a 59-year-old female. According to the National Vital Statistics Report (Vol. 58, No. 21), the probability that a male will survive 1 year at that age is 0.989418 and that a female will survive the year is 0.993506. Compute the expected values of the male and female policies to the insurance company. (What is the expected profit or loss of each policy?) What is the expected value if the company offers the policy to both the male and the female if 51% of the customers who would purchase a policy are female?

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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