(Present value of annuities and complex cash flows) You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: End of Year 1 2 3 45678 A $13,000 13,000 13,000 13,000 13,000 Investment B $13,000 13,000 13,000 13,000 C $18,000 54,000
(Present value of annuities and complex cash flows) You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: End of Year 1 2 3 45678 A $13,000 13,000 13,000 13,000 13,000 Investment B $13,000 13,000 13,000 13,000 C $18,000 54,000
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
Problem 1PS
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![**Present Value of Annuities and Complex Cash Flows**
You are given three investment alternatives to analyze. The cash flows from these three investments are as follows:
| End of Year | Investment A | Investment B | Investment C |
|-------------|--------------|--------------|--------------|
| 1 | $13,000 | | $18,000 |
| 2 | $13,000 | | |
| 3 | $13,000 | | |
| 4 | | | |
| 5 | | $13,000 | |
| 6 | | $13,000 | |
| 7 | | $13,000 | |
| 8 | | | $54,000 |
**Questions:**
a. What is the present value of investment A at an annual discount rate of 25 percent?
- Present Value: **$37,227.32** (Round to the nearest cent.)
b. What is the present value of investment B at an annual discount rate of 25 percent?
- Present Value: **[Blank to be filled]** (Round to the nearest cent.)
c. What is the present value of investment C at an annual discount rate of 25 percent?
- Present Value: **[Blank to be filled]** (Round to the nearest cent.)
(Note: The calculations of present value are based on the formula for the present value of an annuity and consider the respective cash flows and discount rate.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ecf075d-8108-403d-9fa5-e645f299b35a%2F46dec133-667e-4323-a0de-00b6dfb98afe%2Fngoc34c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Present Value of Annuities and Complex Cash Flows**
You are given three investment alternatives to analyze. The cash flows from these three investments are as follows:
| End of Year | Investment A | Investment B | Investment C |
|-------------|--------------|--------------|--------------|
| 1 | $13,000 | | $18,000 |
| 2 | $13,000 | | |
| 3 | $13,000 | | |
| 4 | | | |
| 5 | | $13,000 | |
| 6 | | $13,000 | |
| 7 | | $13,000 | |
| 8 | | | $54,000 |
**Questions:**
a. What is the present value of investment A at an annual discount rate of 25 percent?
- Present Value: **$37,227.32** (Round to the nearest cent.)
b. What is the present value of investment B at an annual discount rate of 25 percent?
- Present Value: **[Blank to be filled]** (Round to the nearest cent.)
c. What is the present value of investment C at an annual discount rate of 25 percent?
- Present Value: **[Blank to be filled]** (Round to the nearest cent.)
(Note: The calculations of present value are based on the formula for the present value of an annuity and consider the respective cash flows and discount rate.)
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