(NPV with varying required rates of return) Gubanich Sportswear is considering building a new factory to produce aluminum baseball bats. This project would require an initial cash outlay of $4000000 and would generate annual free cash inflows of $1200000 per year for 8 years. Calculate the project's NPV given: a. A required rate of return of 8 percent b. A required rate of return of 10 percent c. A required rate of return of 14 percent
a.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=1200000 [1-(1.08)^-8]/0.08
1200000 *5.746638944
=$6,895,966.73
NPV=Present value of inflows-Present value of outflows
=$6,895,966.73-$4000000
=$2,895,966.73(Approx).
b.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=1200000 [1-(1.1)^-8]/0.1
1200000 *5.334926198
=$6,401,911.44
NPV=Present value of inflows-Present value of outflows
=$6,401,911.44-$4000000
=$2,401,911.44(Approx).
c.Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=1200000 [1-(1.14)^-8]/0.14
1200000 *4.638863894
=$5,566,636.67
NPV=Present value of inflows-Present value of outflows
=$5,566,636.67-$4000000
=$1,566,636.67(Approx).
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