Keiper, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2.91 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,150,000 in annual sales, with costs of $845,000. The tax rate is 30 percent and the required return on the project is 11 percent. What is the project’s NPV? (Round your answer to 2 decimal places. (e.g., 32.16)) |
NPV |
$ |
Annual depreciation=$2.91million/3
=$970,000
Hence annual operating cash flows=(Sales-Costs)(1-tax rate)+Tax savings on Depreciation
=(2,150,000-845000)(1-0.3)+(0.3*970000)
=$1204500
Present value of inflows=cash inflow*Present value of annuity(rate%,time period)
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=$1204500[1-(1.11)^-3]/0.11
=$1204500*2.443714715
=$2943454.375
NPV=Present value of inflows-Present value of outflows
=$2943454.375-$2,910,000
which is equal to
=$33454.38(Approx).
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