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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?

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?

Essentials Of Investments
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
Section: Chapter Questions
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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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