Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these po company must pay out $27,400 to the beneficiary of the policy. Executives at Avicenna are considering offering these policie each holder of a policy there is a 3% chance that they will die before the age of 70 and a 97% chance they will live to the ac If the executives at Avicenna know that they will sell many of these policies, should they expect to make or lose money from offering them? How much? To answer, take into account the price of the policy and the expected value of the amount paid out to the beneficiary. Avicenna can expect to make money from offering these policies. In the long run, they should expect to make dollars on each policy sold. O Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose dollars on each policy sold. Avicenna should expect to

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 5SE: What is an annuity?
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Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these policies dies before the age of 70, the
company must pay out $27,400 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $765 each. Suppose that for
each holder of a policy there is a 3% chance that they will die before the age of 70 and a 97% chance they will live to the age of 70.
If the executives at Avicenna know that they will sell many of these policies, should they expect
to make or lose money from offering them? How much?
To answer, take into account the price of the policy and the expected value of the amount paid
out to the beneficiary.
Avicenna can expect to make money from offering these policies.
In the long run, they should expect to make dollars on each policy sold.
O Avicenna can expect to lose money from offering these policies.
In the long run, they should expect to lose dollars on each policy sold.
O Avicenna should expect to neither make nor lose money from offering these policies.
Transcribed Image Text:Avicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these policies dies before the age of 70, the company must pay out $27,400 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $765 each. Suppose that for each holder of a policy there is a 3% chance that they will die before the age of 70 and a 97% chance they will live to the age of 70. If the executives at Avicenna know that they will sell many of these policies, should they expect to make or lose money from offering them? How much? To answer, take into account the price of the policy and the expected value of the amount paid out to the beneficiary. Avicenna can expect to make money from offering these policies. In the long run, they should expect to make dollars on each policy sold. O Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose dollars on each policy sold. O Avicenna should expect to neither make nor lose money from offering these policies.
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