The conventional payback period ignores the time value of money, and this concerns Cute Camel's CFO. He has now asked you to compute Sigma's discounted payback period, assuming the company has a 9% cost of capital. Complete the following table and perform any necessary calculations. Round the discounted cash flow values to the nearest whole dollar, and the discounted payback period to two decimal places. For full credit, complete the entire table. (Note: If your answer is negative, be sure to use a minus sign in your answer.) Cash flow Discounted cash flow Cumulative discounted cash flow Discounted payback period: O The regular payback period Year 0 -$5,000,000 S $ The discounted payback perind years S Year 1 $2,000,000 S Year 2 $4,250,000 Which version of a project's payback period should the CFO use when evaluating Project Sigma, given its theoretical superiority? Year 3 $1,750,000

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
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### Discounted Payback Period Analysis for Sigma's Project

The conventional payback period ignores the time value of money, causing concern for Cute Camel's CFO. To address this, you are required to compute Sigma's discounted payback period, assuming a 9% cost of capital. Complete the following table with the necessary calculations. Round the discounted cash flow values to the nearest whole dollar and the discounted payback period to two decimal places. For full credit, ensure the entire table is complete. 

(Note: If your answer is negative, use a minus sign.)

|                    | Year 0    | Year 1    | Year 2    | Year 3    |
|--------------------|-----------|-----------|-----------|-----------|
| **Cash flow**          | -$5,000,000 | $2,000,000 | $4,250,000 | $1,750,000 |
| **Discounted cash flow**      | $                | $                | $                | $                |
| **Cumulative discounted cash flow** | $                | $                | $                | $                |
| **Discounted payback period:** |                   |                   |                   |                   |

#### Conceptual Questions

1. **Which version of a project’s payback period should the CFO use when evaluating Project Sigma, given its theoretical superiority?**
   - The regular payback period
   - The discounted payback period

2. **One theoretical disadvantage of both payback methods—compared to the net present value method—is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period.**

3. **How much value in this example does the discounted payback period method fail to recognize due to this theoretical deficiency?**
   - $4,928,461
   - $3,186,183
   - $1,763,323
   - $1,351,321

### Explanation of the Table and Questions

#### Table Description
- **Cash Flow (Row 1):** The initial and projected cash flows for Years 0 to 3.
- **Discounted Cash Flow (Row 2):** The cash flows adjusted for the 9% cost of capital, representing the present value of future cash flows.
- **Cumulative Discounted Cash Flow (Row 3):** The sum of the discounted cash flows over time, which helps determine when the initial investment is
Transcribed Image Text:### Discounted Payback Period Analysis for Sigma's Project The conventional payback period ignores the time value of money, causing concern for Cute Camel's CFO. To address this, you are required to compute Sigma's discounted payback period, assuming a 9% cost of capital. Complete the following table with the necessary calculations. Round the discounted cash flow values to the nearest whole dollar and the discounted payback period to two decimal places. For full credit, ensure the entire table is complete. (Note: If your answer is negative, use a minus sign.) | | Year 0 | Year 1 | Year 2 | Year 3 | |--------------------|-----------|-----------|-----------|-----------| | **Cash flow** | -$5,000,000 | $2,000,000 | $4,250,000 | $1,750,000 | | **Discounted cash flow** | $ | $ | $ | $ | | **Cumulative discounted cash flow** | $ | $ | $ | $ | | **Discounted payback period:** | | | | | #### Conceptual Questions 1. **Which version of a project’s payback period should the CFO use when evaluating Project Sigma, given its theoretical superiority?** - The regular payback period - The discounted payback period 2. **One theoretical disadvantage of both payback methods—compared to the net present value method—is that they fail to consider the value of the cash flows beyond the point in time equal to the payback period.** 3. **How much value in this example does the discounted payback period method fail to recognize due to this theoretical deficiency?** - $4,928,461 - $3,186,183 - $1,763,323 - $1,351,321 ### Explanation of the Table and Questions #### Table Description - **Cash Flow (Row 1):** The initial and projected cash flows for Years 0 to 3. - **Discounted Cash Flow (Row 2):** The cash flows adjusted for the 9% cost of capital, representing the present value of future cash flows. - **Cumulative Discounted Cash Flow (Row 3):** The sum of the discounted cash flows over time, which helps determine when the initial investment is
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