You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $25,000 at the end of this year and subsequent payments that will thereafter grow at a rate of 0.05 annually. If you use a discount rate of 0.08 for investment products, what is the present value of this growing perpetuity? Round to two decimal places.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $25,000 at the end of this year and subsequent payments that will thereafter grow at a rate of 0.05 annually. If you use a discount rate of 0.08 for investment products, what is the present value of this growing perpetuity? Round to two decimal places.

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Step 1

here is the formula for calculating the present value of growing perpetuity

PV = A/(r-g)

where 

      r = discount rate

      g = growth rate

       A = 25000

 present value = 25000/0.08 - 0.05

                           = 833,333.34

 

 

 

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