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#2 Suppose you calculate the Net Present Value (NPV) for a project, given the pr

ID: 2758095 • Letter: #

Question

#2

Suppose you calculate the Net Present Value (NPV) for a project, given the project cash flows and a required rate of return of 12%. After you calculate the NPV, you discover that the actual required rate of return is 14%. The new NPV you calculate using a required rate of return of 14% would be

a. lower than the NPV calculated with a required rate of return of 12%.

b. higher than the NPV calculated with a required rate of return of 12%.

c. the same as the NPV calculated with a required rate of return of 12%.

d. uncertain because it could be either lower or higher than the NPV calculated with a required rate of return of 12%.

a. lower than the NPV calculated with a required rate of return of 12%.

b. higher than the NPV calculated with a required rate of return of 12%.

c. the same as the NPV calculated with a required rate of return of 12%.

d. uncertain because it could be either lower or higher than the NPV calculated with a required rate of return of 12%.

Explanation / Answer

Answer=a. lower than the NPV calculated with a required rate of return of 12%.

This is explained with the help of this example-

Year Cash Flow project PV ractor (1/(1+r)^n) at 12% Project PV ractor (1/(1+r)^n) at 14% Present value with 12% Present value with 14% 0 $     (432,000.00) 1.00 1.00 $           (432,000.00) $           (432,000.00) 1 $        40,500.00 0.89 0.88 $                36,160.71 $                35,526.32 2 $        65,500.00 0.80 0.77 $                52,216.20 $                50,400.12 3 $        82,500.00 0.71 0.67 $                58,721.87 $                55,685.15 4 $      547,000.00 0.64 0.59 $              347,628.39 $             323,867.91 NPV $                62,727.17 $                33,479.50