End of Year 1 2 Investment 3 4 5 A B $ 1,000 $1,000 2,000 1,000 3,000 1,000 (4,000) 1,000 4,000 3,000 Click on the icon in order to copy its contents into a spreadsheet.) What is the present value of each of these three investments if the appropriate discount rate is 9 percent? C $ 5,000 5,000 (5,000) (5,000) 15,000 a. What is the present value of investment A at an annual discount rate of 9 percent? (Round to the nearest cent.) b. What is the present value of investment B at an annual discount rate of 9 percent?

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 an Uneven Stream of Payments**

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           | $1,000       | $1,000       | $5,000       |
| 2           | 2,000        | 1,000        | 5,000        |
| 3           | 3,000        | 1,000        | (5,000)      |
| 4           | (4,000)      | 3,000        | (5,000)      |
| 5           | 4,000        | 3,000        | 15,000       |

(Note: Click on the icon to copy its contents into a spreadsheet.)

**Question: What is the present value of each of these three investments if the appropriate discount rate is 9 percent?**

1. **What is the present value of investment A at an annual discount rate of 9 percent?**
   - $____ (Round to the nearest cent.)

2. **What is the present value of investment B at an annual discount rate of 9 percent?**
   - $____ (Round to the nearest cent.)

3. **What is the present value of investment C at an annual discount rate of 9 percent?**
   - $____ (Round to the nearest cent.)
Transcribed Image Text:**Present Value of an Uneven Stream of Payments** 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 | $1,000 | $1,000 | $5,000 | | 2 | 2,000 | 1,000 | 5,000 | | 3 | 3,000 | 1,000 | (5,000) | | 4 | (4,000) | 3,000 | (5,000) | | 5 | 4,000 | 3,000 | 15,000 | (Note: Click on the icon to copy its contents into a spreadsheet.) **Question: What is the present value of each of these three investments if the appropriate discount rate is 9 percent?** 1. **What is the present value of investment A at an annual discount rate of 9 percent?** - $____ (Round to the nearest cent.) 2. **What is the present value of investment B at an annual discount rate of 9 percent?** - $____ (Round to the nearest cent.) 3. **What is the present value of investment C at an annual discount rate of 9 percent?** - $____ (Round to the nearest cent.)
Expert Solution
Step 1: Define=present value

Cash flow that is estimated to occur in the future, but indicated in today's equivalent value is termed as the present value.

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