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.

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....
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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.

Expert Solution
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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