Question

A. What is the present value of a 3-year annuity of $110 if the discount rate...

A. What is the present value of a 3-year annuity of $110 if the discount rate is 5%?  (Do not round intermediate calculations. Round your answer to 2 decimal places.)

B. What is the present value of the annuity in (a) if you have to wait an additional year for the first payment? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Homework Answers

Answer #1

Answer A.

Annual deposit = $110
Number of deposits = 3
Discount rate = 5%

Present value of annuity = $110/1.05 + $110/1.05^2 + $110/1.05^3
Present value of annuity = $110 * (1 - (1/1.05)^3) / 0.05
Present value of annuity = $110 * 2.72325
Present value of annuity = $299.56

Answer B.

Annual deposit = $110
Number of deposits = 3
Discount rate = 5%

Present value of annuity = $110/1.05^2 + $110/1.05^3 + $110/1.05^4
Present value of annuity = $110 * (1 / 1.05) * (1 - (1/1.05)^3) / 0.05
Present value of annuity = $110 * 2.59357
Present value of annuity = $285.29

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