Dumb & Dumber Development Company has two mutually exclusive investment projects to evaluate. Assume both projects can be repeated indefinitely. The following cash flows are associated with each project:
Time Project A Project B -
0-$100,000-$70,000
1 30,000 30,000
2 50,000 30,000
3 70,000 30,000
4-30,000
5-10,000
The project types are equally risky and the firm's cost of capital is 12 percent. What is the EAA of the higher valued project? (Round your final answer to the nearest whole dollar.)
Click on the arrows to vote for the correct answer
A. B. C. D. E.Explanation
Step 1 Calculate the NPV for both projects:
A:CF(0) = -100,000; CF(1) = 30,000; CF(2) = 50,000; CF(3) = 70,000; I/YR = 12; solve for NPV = $16,470.
B:CF(0) = -70,000; CF(1) = 30,000; CF(2) = 30,000; CF(3) = 30,000;CF(4) = 30,000; CF(5) = 10,000; I/YR = 12; NPV = $26,795.
Step 2 Calculate the EAA for both projects:
A: N = 3; I/YR = 12; PV = -16,470; FV = 0; solve for PMT = $6,857.
B: N = 5; I/YR = 12; PV = -26,795; FV = 0; solve for PMT = $7,433.
The PMT is the EAA for each project. Since Project B has the larger EAA $7,433 is the correct answer.