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Tpy6a
2 months ago
8

A perpetuity will pay $1000 per year, starting five years after the perpetuity is purchased. What is the present value (PV) of t

his perpetuity on the date that it is purchased, given that the interest rate is 4%?
Business
1 answer:
arsen [3.4K]2 months ago
5 0

Answer:

$21,370.1071

Explanation:

The calculation for the present value of this perpetuity is as follows:

= Present value five years later + present value at the time of purchase

where,

The present value after five years is

= ($1,000) ÷ (1.04)^5

=$821.9271

Additionally, the present value at the purchase time is

= $821.9271 ÷ 4%

=$20,548.18

Thus, the total present value of the perpetuity is

=$821.9271 + $20,548.18

= $21,370.1071

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