XYZ is evaluating a project that would last for 3 years. The project's cost of capital is 15.60 percent, its NPV is $43,200.00 and the expected cash flows are presented in the table. What is X? Years from today 1 2 3 0 Expected Cash Flow (in $) -55,800 71,000 -15,900 X O An amount less than $43,200.00 or an amount greater than $82,666.00 O An amount equal to or greater than $70,205.00 but less than $82,666.00 O An amount equal to or greater than $60,505.00 but less than $70,205.00 An amount equal to or greater than $53,257.00 but less than $60,505.00 O An amount equal to or greater than $43,200,00 but less than $53,257.00

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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### XYZ Project Evaluation Analysis

XYZ is evaluating a project that extends over three years. The cost of capital (discount rate) for the project stands at 15.60 percent, its Net Present Value (NPV) is $43,200.00, and the expected cash flows are detailed in the following table:

| Years from Today | Expected Cash Flow (in $) |
|------------------|---------------------------|
| 0                | -55,800                   |
| 1                | 71,000                    |
| 2                | 71,000                    |
| 3                | X                         |

### Cash Flow Calculation and Prediction Question

The task is to determine the value of X, which represents the expected cash flow in the third year, given the structure of the project and its financials.

Possible values for X are listed below:
1. An amount less than $43,200.00 or an amount greater than $82,666.00
2. An amount equal to or greater than $53,257.00 but less than $60,505.00
3. An amount equal to or greater than $60,505.00 but less than $70,205.00
4. An amount equal to or greater than $70,205.00 but less than $82,666.00
5. An amount equal to or greater than $43,200.00 but less than $53,257.00

### Explanation:

This table presents the cash flows expected at different points in time during the project's duration. The project starts in year 0 with a cash outflow of $55,800, followed by inflows of $71,000 in both years 1 and 2. The goal is to identify the third year's expected cash flow (X) based on the presented choices.

Students can use this data to understand the process of determining future cash flows in project planning and evaluation, especially under varying financial assumptions and constraints like the given interest rate and NPV.

---

This example teaches how to estimate future cash flows considering net present value and discount rates. It emphasizes a practical approach to financial analysis in project management.
Transcribed Image Text:### XYZ Project Evaluation Analysis XYZ is evaluating a project that extends over three years. The cost of capital (discount rate) for the project stands at 15.60 percent, its Net Present Value (NPV) is $43,200.00, and the expected cash flows are detailed in the following table: | Years from Today | Expected Cash Flow (in $) | |------------------|---------------------------| | 0 | -55,800 | | 1 | 71,000 | | 2 | 71,000 | | 3 | X | ### Cash Flow Calculation and Prediction Question The task is to determine the value of X, which represents the expected cash flow in the third year, given the structure of the project and its financials. Possible values for X are listed below: 1. An amount less than $43,200.00 or an amount greater than $82,666.00 2. An amount equal to or greater than $53,257.00 but less than $60,505.00 3. An amount equal to or greater than $60,505.00 but less than $70,205.00 4. An amount equal to or greater than $70,205.00 but less than $82,666.00 5. An amount equal to or greater than $43,200.00 but less than $53,257.00 ### Explanation: This table presents the cash flows expected at different points in time during the project's duration. The project starts in year 0 with a cash outflow of $55,800, followed by inflows of $71,000 in both years 1 and 2. The goal is to identify the third year's expected cash flow (X) based on the presented choices. Students can use this data to understand the process of determining future cash flows in project planning and evaluation, especially under varying financial assumptions and constraints like the given interest rate and NPV. --- This example teaches how to estimate future cash flows considering net present value and discount rates. It emphasizes a practical approach to financial analysis in project management.
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