An increasing perpetuity-immediate makes annual payments. The first payment is 100. and each subsequent payment is larger than the preceding payment by an amount X, Based on an annual effective interest rate of 10%6, the present value of the perpetuity at time 0 is one-half of its present value at time 20 (i.e., the present value at time 20 of the payments that will occur at time 21 and later). What is the value of X?

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Question 28
An increasing perpetuity-immediate makes annual payments. The first payment is 100. and each subsequent payment is larger than the preceding
X payment by an amount X, Based on an annual effective interest rate of 1096, the present value of the perpetuity at time 0 i one-half of its present
value at time 20 (i.e., the present value at time 20 of the payments that will occur at time 21 and later).
What is the value of X?
Transcribed Image Text:Question 28 An increasing perpetuity-immediate makes annual payments. The first payment is 100. and each subsequent payment is larger than the preceding X payment by an amount X, Based on an annual effective interest rate of 1096, the present value of the perpetuity at time 0 i one-half of its present value at time 20 (i.e., the present value at time 20 of the payments that will occur at time 21 and later). What is the value of X?
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