Question
a. What is the NPV at a discount rate of zero percent? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) b. What is the NPV at a discount rate of 11 percent(Do not round intermediate calculations and round your answer to 2 decimal places, e.g. , 32.16.) c. What is the NPV at a discount rate of 21 percent? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places , e.g., 32.16 .) d. What is the NPV at a discount rate of 31 percent ? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places , e.g.,32.16.) )

Consider the following cash flows: Year Cash Flow $32,500 14,300 17,400 11,700 a. What is the NPV at a discount rate of zero
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Answer #1

NPV = Present value of all cash inflows - Present value of cash outflow or initial cash outflow

NPV = {CF1 * PVF(r%, 1 year) + CF2 * PVF(r%, 2 years) + ..........+CFn * PVF(r%, n years)} - Initial Cash outflow

a. NPV @ 0%

Year Cash Flow PVF @ 0% P.V.
0 (32,500.00) 1 (32,500.00)
1     14,300.00 1     14,300.00
2     17,400.00 1     17,400.00
3     11,700.00 1     11,700.00
NPV     10,900.00

b. NPV @ 11%

Year Cash Flow PVF @ 11% P.V.
0 (32,500.00) 1 (32,500.00)
1     14,300.00 0.900900901     12,882.88
2     17,400.00 0.811622433     14,122.23
3     11,700.00 0.731191381        8,554.94
NPV        3,060.05

c. NPV @ 21%

Year Cash Flow PVF @ 21% P.V.
0 (32,500.00) 1 (32,500.00)
1     14,300.00 0.82644628     11,818.18
2     17,400.00 0.68301346     11,884.43
3     11,700.00 0.56447393        6,604.34
NPV     (2,193.04)

d. NPV @ 31%

Year Cash Flow PVF @ 31% P.V.
0 (32,500.00) 1 (32,500.00)
1     14,300.00 0.76335878     10,916.03
2     17,400.00 0.58271662     10,139.27
3     11,700.00 0.44482185        5,204.42
NPV     (6,240.28)

A. NPV = +10,900

B. NPV = +3060.05

C. NPV = -2193.04

D. NPV = -6240.28

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