2. A project costs $200,000 per year for 5 years, starting immediately. You reckon that it will produce an cash inflow after operating costs of $170,000 a year for 10 years, starting 3 years from now. The opportunity cost of capital is 17 percent. a. What is the present value of costs? 1 0.17 200,000 x PVIF(0.17,5) x FVIF(0.17, 1) = 200,000 × (1+0.17) × (1+0.17) = $748,647.00208 b. What is the present value of the cash inflows? 170,000 x PVIFA(0. 17, 10) x PVIF(0.17, ?) = (1+0.17)10 170,000 x X 0.17 (1+0.17) c. Based on these cost and cash inflow estimates, what is your recommendation? REJECT $585, 2444. 380645 I Year: 01 2 3 4 5 Cost: Year: 200,000 200,000 200,000 200,000 200,000 Cash Inflows: 3 4 5 6 7 12 170,000 170,000 170,000 170,000 170,000 170,000 170,000 8 9 10 11

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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2. A project costs $200,000 per year for 5 years, starting immediately. You reckon
that it will produce an cash inflow after operating costs of $170,000 a year for 10
years, starting 3 years from now. The opportunity cost of capital is 17 percent.
a. What is the present value of costs?
1
0.17
200,000 x PVIF(0.17,5) x FVIF(0.17, 1) = 200,000 × (1+0.17) × (1+0.17) = $748,647.00208
b. What is the present value of the cash inflows?
170,000 x PVIFA(0. 17, 10) x PVIF(0.17, ?)
=
(1+0.17)10
170,000 x
X
0.17
(1+0.17)
c. Based on these cost and cash inflow estimates, what is your recommendation?
REJECT
$585, 2444. 380645
I
Year:
01 2
3
4
5
Cost:
Year:
200,000 200,000 200,000 200,000 200,000
Cash Inflows:
3 4 5 6 7
12
170,000 170,000 170,000 170,000 170,000 170,000 170,000
8 9 10 11
Transcribed Image Text:2. A project costs $200,000 per year for 5 years, starting immediately. You reckon that it will produce an cash inflow after operating costs of $170,000 a year for 10 years, starting 3 years from now. The opportunity cost of capital is 17 percent. a. What is the present value of costs? 1 0.17 200,000 x PVIF(0.17,5) x FVIF(0.17, 1) = 200,000 × (1+0.17) × (1+0.17) = $748,647.00208 b. What is the present value of the cash inflows? 170,000 x PVIFA(0. 17, 10) x PVIF(0.17, ?) = (1+0.17)10 170,000 x X 0.17 (1+0.17) c. Based on these cost and cash inflow estimates, what is your recommendation? REJECT $585, 2444. 380645 I Year: 01 2 3 4 5 Cost: Year: 200,000 200,000 200,000 200,000 200,000 Cash Inflows: 3 4 5 6 7 12 170,000 170,000 170,000 170,000 170,000 170,000 170,000 8 9 10 11
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