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20 May, 05:56

Earl has a life insurance policy that will pay his family $59,000 per year if he

dies. If interest rates are at 3.3% when the insurance company has to pay,

what is the amount of the lump sum that the insurance company must put

into a bank account?

O

O

A. $17,878,787.88

B. $178,787.88

O

c. $178,787,878.80

O

D. $1,787,878.79

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Answers (1)
  1. 20 May, 09:31
    0
    The correct option is D,$1,787,878.79

    Step-by-step explanation:

    The the formula to calculate the amount the insurance company must put into a bank account is by using the present value of a a stream of cash flow in perpetuity.

    By perpetuity I mean a particular amount that pays a sum of money forever.

    In this case, the amount required is meant to Earl's family $59,000 per year forever.

    pv=periodic payment/interest rate

    periodic payment is $59,000

    interest rate 3.3%

    pv=$59,000/3.3%=$1,787,878.79
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