Your rich uncle is offering you a gift that you will accept today. Your uncle wants you to choose between one of two investments: I. An annuity that will start paying $600 for 10 years. The annuity's first payment will take place 5 years from today. The annual interest rate is 12%. II. A growing perpetuity that 1 year from now will start paying $200 and is expected to grow at an annual rate of 2% forever. The discount rate is 12%. Calculate the present value of the two investments. Which one would you accept?

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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Your rich uncle is offering you a gift that you will accept today. Your uncle wants you to choose
between one of two investments:
I. An annuity that will start paying $600 for 10 years. The annuity's first payment will take
place 5 years from today. The annual interest rate is 12%.
II. A growing perpetuity that 1 year from now will start paying $200 and is expected to grow at
an annual rate of 2% forever. The discount rate is 12%.
Calculate the present value of the two investments. Which one would you accept?
Transcribed Image Text:Your rich uncle is offering you a gift that you will accept today. Your uncle wants you to choose between one of two investments: I. An annuity that will start paying $600 for 10 years. The annuity's first payment will take place 5 years from today. The annual interest rate is 12%. II. A growing perpetuity that 1 year from now will start paying $200 and is expected to grow at an annual rate of 2% forever. The discount rate is 12%. Calculate the present value of the two investments. Which one would you accept?
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