Question

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 MIRR 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

Answer 1

We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.

A:

Future value of inflows=300(1.1)^2+400(1.1)+700

=$1503

MIRR=[Future value of inflows/Present value of outflows]^(1/time period)-1

=(1503/1000)^(1/3)-1

=14.55%(Approx).

B:

Future value of inflows=200(1.1)^2+400(1.1)+300

=$982

MIRR=[Future value of inflows/Present value of outflows]^(1/time period)-1

=(982/500)^(1/3)-1

=25.23%(Approx).

Hence both the projects have MIRR greater than the required return but since the projects are mutually exclusive;Project B must be accepted and A rejected.(D).