2. Payback (S5.2) Consider the following projects: Project A B C Co -1,000 -2,000 -3,000 C1₁ +1,000 +1,000 +1,000 C₂ Cash Flows ($) 0 +1,000 +1,000 C3 0 +4,000 0 C4 0 +1,000 +1,000 a. If the opportunity cost of capital is 10%, which projects have a positive NPV? b. Calculate the payback period for each project. c. Which proiect(s) would a firm using the payback rule accept if the cutoff period is three years? C5 0 +1,000 +1,000

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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### Payback (S5.2) Consider the following projects:

#### Cash Flows ($)

| Project | \( C_0 \)  | \( C_1 \) | \( C_2 \) | \( C_3 \) | \( C_4 \) | \( C_5 \) |
|---------|---------|---------|---------|---------|---------|---------|
| **A**   | \(-1,000\) | \(+1,000\)  | 0       | 0       | 0       | 0       |
| **B**   | \(-2,000\) | \(+1,000\) | \(+1,000\) | \(+4,000\) | \(+1,000\) | \(+1,000\) |
| **C**   | \(-3,000\) | \(+1,000\) | \(+1,000\) | 0       | \(+1,000\) | \(+1,000\) |

**Questions:**
   
**a. If the opportunity cost of capital is 10%, which projects have a positive NPV?**

**b. Calculate the payback period for each project.**

**c. Which project(s) would a firm using the payback rule accept if the cutoff period is three years?**

---

### Explanation of the Table:
The table above lists the cash flows (in dollars) associated with three different projects (A, B, and C) over a period of up to six years (denoted as \( C_0 \) through \( C_5 \)):

- **Project A:** 
  - Initial investment: \( -1,000 \) at \( C_0 \).
  - Return: \( +1,000 \) at \( C_1 \).

- **Project B:**
  - Initial investment: \( -2,000 \) at \( C_0 \).
  - Returns: \( +1,000 \) at \( C_1 \), \( +1,000 \) at \( C_2 \), \( +4,000 \) at \( C_3 \), \( +1,000 \) at \( C_4 \), and \( +1,000 \) at \( C_5 \).

- **Project C:**
  - Initial investment:
Transcribed Image Text:### Payback (S5.2) Consider the following projects: #### Cash Flows ($) | Project | \( C_0 \) | \( C_1 \) | \( C_2 \) | \( C_3 \) | \( C_4 \) | \( C_5 \) | |---------|---------|---------|---------|---------|---------|---------| | **A** | \(-1,000\) | \(+1,000\) | 0 | 0 | 0 | 0 | | **B** | \(-2,000\) | \(+1,000\) | \(+1,000\) | \(+4,000\) | \(+1,000\) | \(+1,000\) | | **C** | \(-3,000\) | \(+1,000\) | \(+1,000\) | 0 | \(+1,000\) | \(+1,000\) | **Questions:** **a. If the opportunity cost of capital is 10%, which projects have a positive NPV?** **b. Calculate the payback period for each project.** **c. Which project(s) would a firm using the payback rule accept if the cutoff period is three years?** --- ### Explanation of the Table: The table above lists the cash flows (in dollars) associated with three different projects (A, B, and C) over a period of up to six years (denoted as \( C_0 \) through \( C_5 \)): - **Project A:** - Initial investment: \( -1,000 \) at \( C_0 \). - Return: \( +1,000 \) at \( C_1 \). - **Project B:** - Initial investment: \( -2,000 \) at \( C_0 \). - Returns: \( +1,000 \) at \( C_1 \), \( +1,000 \) at \( C_2 \), \( +4,000 \) at \( C_3 \), \( +1,000 \) at \( C_4 \), and \( +1,000 \) at \( C_5 \). - **Project C:** - Initial investment:
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