You are interested in an investment where the initial investment is $121,000 and your required cost of capital is 12 percent. Cash inflows from this project are expected to be $11,900 at the end of the first year and are expected to grow at 4 percent a year thereafter. Compute the NPV. (Enter negative amount using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).)
NPV $
Answer : $27,750
NPV=Pv of inflows -Initial outflow
Initial Outflow =$121,000
Here we have a growing perpetuity.
The PV of a growing perpetuity =inflow /Discount rate -growth rate
Here the inflow =$11,900
The discount rate =12%
The grwth rate =4%
So he PV of inflows =$11900/.12-.04 =$148,750
So the NPV =$148,750-$121,000=$27,750
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