(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: Investment B $2,000 2,000 2,000 2,000 5,000 (Click on the loon 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 12 percent? End of Year 2 3 A $1,000 2,000 3,000 (4,000) 4,000 4,000 4,000 (4,000) (4,000) 14,000 a. What is the present value of investment A at an annual discount rate of 12 percent? $(Round to the nearest cent) b. What is the present value of investment B at an annual discount rate of 12 percent? $(Round to the nearest cent) c. What is the present value of investment C at an annual discount rate of 12 percent? $(Round to the nearest cent.)

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 an Uneven Stream of Payments

You are given three investment alternatives to analyze. The cash flows from these three investments are as follows:

### Investment Cash Flows

| End of Year | Investment A | Investment B | Investment C |
|-------------|--------------|--------------|--------------|
| 1           | $1,000       | $2,000       | $4,000       |
| 2           | 2,000        | 2,000        | 4,000        |
| 3           | 3,000        | 3,000        | (4,000)      |
| 4           | 4,000        | (4,000)      | (4,000)      |
| 5           | (4,000)      | 5,000        | 14,000       |

*Note: Negative values in parentheses represent cash outflows.*

### Present Value Calculation
What is the present value of each of these three investments if the appropriate discount rate is 12 percent?

#### Questions
a. What is the present value of Investment A at an annual discount rate of 12 percent?
   - (Round to the nearest cent.)

b. What is the present value of Investment B at an annual discount rate of 12 percent?
   - (Round to the nearest cent.)

c. What is the present value of Investment C at an annual discount rate of 12 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: ### Investment Cash Flows | End of Year | Investment A | Investment B | Investment C | |-------------|--------------|--------------|--------------| | 1 | $1,000 | $2,000 | $4,000 | | 2 | 2,000 | 2,000 | 4,000 | | 3 | 3,000 | 3,000 | (4,000) | | 4 | 4,000 | (4,000) | (4,000) | | 5 | (4,000) | 5,000 | 14,000 | *Note: Negative values in parentheses represent cash outflows.* ### Present Value Calculation What is the present value of each of these three investments if the appropriate discount rate is 12 percent? #### Questions a. What is the present value of Investment A at an annual discount rate of 12 percent? - (Round to the nearest cent.) b. What is the present value of Investment B at an annual discount rate of 12 percent? - (Round to the nearest cent.) c. What is the present value of Investment C at an annual discount rate of 12 percent? - (Round to the nearest cent.)
**Analysis of Three Alternative Investments**

**Scenario 1: Alternative A**
- **N = 1**
- **I/Y = 12**
- **PV = 892.86 (Present Value)**
- **PMT = 0 (Payment)**
- **FV = 1000 (Future Value)**

**Scenario 2: Alternative B**
- **N = 2**
- **I/Y = 12**
- **PV = 1,594.39 (Present Value)** *(boxed)*
- **PMT = 0 (Payment)**
- **FV = 2000 (Future Value)**

**Scenario 3: Alternative C**
- **N = 3**
- **I/Y = 12**
- **PV = 2,135.34 (Present Value)** *(boxed)*
- **PMT = 0 (Payment)**
- **FV = 3000 (Future Value)**

**Scenario 4: Alternative D**
- **N = 4**
- **I/Y = 12**
- **PV = 2,154.07 (Present Value)** *(boxed)*
- **PMT = 0 (Payment)**
- **FV = 4000 (Future Value)**

**Scenario 5: Alternative E**
- **N = 5**
- **I/Y = 13**
- **PV = 2,269.71 (Present Value)** *(boxed)*
- **PMT = 0 (Payment)**
- **FV = 4000 (Future Value)**

**Total Net Present Value (NPV) Calculation:**
- **Total PV = 9,434.37**

This information shows the present value calculations for different investment scenarios over several years, indicating the future value of the investments. The interest rate (I/Y) is given for each scenario, along with the number of periods (N), present value (PV), payment amount (PMT), and future value (FV). The total Net Present Value (NPV) for all the given alternatives is summed up to be 9,434.37. This analysis helps in comparing different investment options based on their present and future values given a set interest rate and time period.
Transcribed Image Text:**Analysis of Three Alternative Investments** **Scenario 1: Alternative A** - **N = 1** - **I/Y = 12** - **PV = 892.86 (Present Value)** - **PMT = 0 (Payment)** - **FV = 1000 (Future Value)** **Scenario 2: Alternative B** - **N = 2** - **I/Y = 12** - **PV = 1,594.39 (Present Value)** *(boxed)* - **PMT = 0 (Payment)** - **FV = 2000 (Future Value)** **Scenario 3: Alternative C** - **N = 3** - **I/Y = 12** - **PV = 2,135.34 (Present Value)** *(boxed)* - **PMT = 0 (Payment)** - **FV = 3000 (Future Value)** **Scenario 4: Alternative D** - **N = 4** - **I/Y = 12** - **PV = 2,154.07 (Present Value)** *(boxed)* - **PMT = 0 (Payment)** - **FV = 4000 (Future Value)** **Scenario 5: Alternative E** - **N = 5** - **I/Y = 13** - **PV = 2,269.71 (Present Value)** *(boxed)* - **PMT = 0 (Payment)** - **FV = 4000 (Future Value)** **Total Net Present Value (NPV) Calculation:** - **Total PV = 9,434.37** This information shows the present value calculations for different investment scenarios over several years, indicating the future value of the investments. The interest rate (I/Y) is given for each scenario, along with the number of periods (N), present value (PV), payment amount (PMT), and future value (FV). The total Net Present Value (NPV) for all the given alternatives is summed up to be 9,434.37. This analysis helps in comparing different investment options based on their present and future values given a set interest rate and time period.
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