Answer to Question #112872 in Microeconomics for rita

Question #112872
Given an interest rate of 4.2 percent per year, what is the value at date t = 7 of a perpetual stream of $2,600 payments that begins at date t = 15? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
1
Expert's answer
2020-05-11T19:26:17-0400

To find the value of the perpetuity at t= 7, we first need to use the PV of a perpetuity equation. Using this equation we find:

PV = $2,600 / 0.042 = $61,904.76.

Remember that the PV of a perpetuity (and annuity) equations give the PV one period before the first payment, so, this is the value of the perpetuity at t= 14.

To find the value at t = 7, we find the PV of this lump sum as:

"PV = 61,904.76 \/ 1.042^7 = 46,414.11."


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