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Consider a growing perpetuity that will pay $100 in one year

Finance May 18, 2021

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%, then the value of this perpetuity is:

 

Expert Solution

Answer:

 

First Payment $100.00    
Growth Rate 6.00%    
Interest Rate 11.00%    
Value of perpetuity $2,000.00 =100/(11%-6%)  
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