Question

A firm has a piece of land that can be developed for two different projects. The...

A firm has a piece of land that can be developed for two different projects. The cash flows for the two projects are shown below:

YEAR 0 1 2 3
Project A Cash -$100 $50 $50 $50
Project B Cash -$150 $100 $100 $25

The cost of capital for the firm is 15%.

What is the NPV for project A?

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Answer #1

Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

=$50[1-(1.15)^-3]/0.15

=$50*2.283225117

=$114.16

NPV=Present value of inflows-Present value of outflows

=$114.16-$100

=$14.16(Approx).

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