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Question (13: SOA 316) A perpetuity-immediate with annual payments consists of ten level payments of k, followed by a series of increasing payments. Beginning with

image text in transcribed Question (13: SOA 316) A perpetuity-immediate with annual payments consists of ten level payments of k, followed by a series of increasing payments. Beginning with the eleventh payment, each payment is 200 larger than the preceding payment. Based on an annual effective interest rate of 5.2%, the present value of the perpetuity is 50,000. Calculate k. (A) 34 (B) 86 (C) 163(D)283 (E) 409

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