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Norma receives $500, 000 from a life insurance policy with which she purchases an annuity-certain. The annuity will pay 10 equal annual installments, with the

Norma receives $500, 000 from a life insurance policy with which she purchases an annuity-certain. The annuity will pay 10 equal annual installments, with the first payment made immediately. On the day she receives her fourth payments she is offered, in lieu of the future annual payments, a new payments scheme: (a) 4 annual payments of $40, 000, beginning in one year, followed by a monthly perpetuity of X. (b) The first monthly perpetuity payment would occur one month after the fourth annual payment of $40, 000. The effective annual rate of interest is 9% for the entire time period. Determine the value of X. Answer: X = 1, 943.71 Not sure how to get this answer

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