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bixtya [17]
3 years ago
15

Projects A and B both require an initial investment of $100,000. Project A produces $200,000 in cash flows in the subsequent 5 y

ears. Project B produces cash flow of $400,000 next year, $300,000 in year 2, $200,000 in year 3, and $50,000 in years 4 and5. Which of the following is true?
a. The two projects have NPVs that are equally sensitive to changes in the cost of capital.
b. Neither project's NPV is sensitive to changes in the cost of capital.
c. The NPV of project B will be more sensitive to changes in the cost of capital compared to the NPV of project A.
d. The NPV of project A will be more sensitive to changes in the cost of capital compared to the NPV of project B
Business
1 answer:
Marysya12 [62]3 years ago
6 0

Answer:

d. The NPV of project A will be more sensitive to changes in the cost of capital compared to the NPV of project B

Explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

The sensitivity to cost of capital can he determined by calculating the npv using different cost of capitals.

Net present value can be calculated using a financial calculator.

For the first project:

Cash flow in year zero = -100,000

Cash flow each year from year one to five = 200,000

Npv when I is 8% = 698,542.01

Npv when I is 10% = 657,157.35

NPV when I is 12% = 620,955.2

For the second project:

Cash flow in year zero = -100,000

Cash flow in year one = 400,000

Cash flow in year two = 300,000

Cash flow in year three = 200,000

Cash flow in year four and five = 50,000

Npv when I is 8% = 757,119.12

Npv when I is 10% = 727,029.95

NPV when I is 12% = 698,804.32

The percentage change in the npvs of project A is greater than the percentage change in npv of project b when different cost of capitals are used. Thus, project A is more sensitive to cost of capital.

To find the NPV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you

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