(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
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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.)
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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