Homework Sourse1 Suppose your firm is considering two mutually exclusive re
1. Suppose your firm is considering two mutually exclusive, required projects with the cash flows shown as follows. The required rate of return on projects of both of their risk class is 10 percent, and the maximum allowable payback and discounted payback statistic for the projects are two and a half and three and a half years, respectively.
Time
0
1
2
3
Project A Cash Flow
?1,000
300
400
700
Project B Cash Flow
?500
200
400
300
Use the NPV decision rule to evaluate these projects; which one(s) should be accepted or rejected?
A. ACCEPT BOTH A AND B
B. ACCEPT NEITHER A NOR B
C. ACCEPT A, REJECT B
D. REJECT A, ACCEPT B
| Time | 0 | 1 | 2 | 3 |
| Project A Cash Flow | ?1,000 | 300 | 400 | 700 |
| Project B Cash Flow | ?500 | 200 | 400 | 300 |
Solution
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
A:
Present value of inflows=300/1.1+400/1.1^2+700/1.1^3
=$1129.23
NPV=Present value of inflows-Present value of outflows
=$1129.23-$1000
=$129.23(Approx)
B:
Present value of inflows=200/1.1+400/1.1^2+300/1.1^3
=$737.79
NPV=Present value of inflows-Present value of outflows
=$737.79-$500
=$237.79(Approx)
Hence since projects are mutually exlcusive;project having highest NPV must be chosen.Hence project B must be accepted and A rejected.(D)
