In: Finance
Kinetics is considering a project that has a NINV of $874,000 and generates net cash flows of $170,000 per year for 12 years. What is the NPV of this project if Kinetics cost of capital is 14%?
NPV Calculation
NPV is the sum of the present value of all the future cash flows:
Following table shows the cash flows of the investment:
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Cash flows | -874000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 | 170000 |
C0 = -874000
C1 = C2 =.....= C12 = 170000
NPV = C0 + C1/(1+r)1 + C2/(1+r)2 + C3/(1+r)3 + C4/(1+r)4 + C5/(1+r)5 + C6/(1+r)6 + C7/(1+r)7 + C8/(1+r)8 + C9/(1+r)9 + C10/(1+r)10 + C11/(1+r)11 + C12/(1+r)12
Cost of capital = r = 14%
NPV = -874000 + 170000/(1.14)1 + 170000/(1.14)2 + 140000/(1.14)3 + 170000/(1.14)4 + 170000/(1.14)5 + 170000/(1.14)6 + 170000/(1.14)7 + 170000/(1.14)8 + 170000/(1.14)9 + 170000/(1.14)10 + 170000/(1.14)11 + 170000/(1.14)12
NPV = $88249.661334
Answer -> 88249.66 (Rounded to two decimals places)