Question

In: Finance

Project S requires an initial outlay at t = 0 of $16,000, and its expected cash...

Project S requires an initial outlay at t = 0 of $16,000, and its expected cash flows would be $6,000 per year for 5 years. Mutually exclusive Project L requires an initial outlay at t = 0 of $40,500, and its expected cash flows would be $12,100 per year for 5 years. If both projects have a WACC of 16%, which project would you recommend?

Select the correct answer.

a. Project L, since the NPVL > NPVS.
b. Both Projects S and L, since both projects have IRR's > 0.
c. Neither Project S nor L, since each project's NPV < 0.
d. Project S, since the NPVS > NPVL.
e. Both Projects S and L, since both projects have NPV's > 0.

A company is analyzing two mutually exclusive projects, S and L, with the following cash flows:

   0 1 2 3 4
Project S -$1,000 $873.06 $250 $10 $10
Project L -$1,000 $0 $250 $420 $822.83

The company's WACC is 9.0%. What is the IRR of the better project? (Hint: The better project may or may not be the one with the higher IRR.) Round your answer to two decimal places.

_______ %

Solutions

Expert Solution

1. use NPV function in EXCEL to find the NPV of two projects.

=NPV(rate,Year1 to Year5 cashflows)-Year0 cashflow

NPV,Project S=NPV(16%,Year1 to Year5 cashflows)-16000=$3645.76

NPV,Project L=NPV(16%,Year1 to Year5 cashflows)-40500=-$881.05

WACC 16.00%
Project S Project L
Year0 -16000 -40500
Year1 6000 12100
Year2 6000 12100
Year3 6000 12100
Year4 6000 12100
Year5 6000 12100
NPV 3645.76 -881.05

Option d is correct

NPV of Project S>NPV of project L

2. Use IRR function in EXCEL to find the IRR

=IRR(Year0 to Year4 cashflows)

Project S,IRR=IRR(Year0 to Year4 cashflows)=11.3%

Project L,IRR=IRR(Year0 to Year4 cashflows)=12.7%

Project S Project L
Year0 -1000 -1000
Year1 873.06 0
Year2 250 250
Year3 10 420
Year4 10 822.83
IRR 11.3% 12.7%

Project L has better IRR because of higher than Project S.


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