Tangshan Mining Company, with a cost of capital of 10 percent, is considering investing in project A, with an initial investment of $1,000,000. Project A is expected to provide equal cash inflows over its 15 year useful life. Based on this information, the breakeven cash inflow for the project is $_______.

Question

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DeniceSandidge DeniceSandidge · Answer 1 · 2019-12-14T15:13:35+01:00

Answer:

the breakeven cash inflow for the project is $131474

Explanation:

given data

cost of capital = 10 percent

initial investment = $1,000,000

useful life = 15 year

to find out

the breakeven cash inflow for the project

solution

first we consider here annual cash inflows that is = x

now break even point is the one at which the net present value of the project = 0

so we can say that here

Present value of cash inflows - Present value of cash outflows = 0 .................1

here we know Present value of cash inflows = x × PVAF ( 10%,15 years)

Present value of cash inflows = x × 7.6060

put value in equation 1 we get

x × 7.6060 - $1,000,000 = 0

solve and we get x

x = [tex]\frac{1,000,000}{7.6060}[/tex]

x = $131474

so the breakeven cash inflow for the project is $131474