Consider a growing perpetuity that will pay $100 in one year.  Each year after that, you will receive a payment on the anniversary of the last payment that is 6% larger than the last payment.  This pattern of payments will continue forever.  If the interest rate is 11%,  the value of this perpetuity is:

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 22P
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Use the following information to answer the question below.

 

Nielson Motors is considering an opportunity that requires an investment of $1,000,000 today and will provide $250,000 one year from now, $450,000 two years from now, and $650,000 three years from now.

 

Consider a growing perpetuity that will pay $100 in one year.  Each year after that, you will receive a payment on the anniversary of the last payment that is 6% larger than the last payment.  This pattern of payments will continue forever.  If the interest rate is 11%,  the value of this perpetuity is:

 

Expert Solution
Step 1

Given,

Payment is $100.

Growth of payment is 6%

interest rate is 11%.

 

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