Kelly Slater owns a parcel of land in Palm Springs and is considering two possible development options which both use his signature Kelly Slater Wave Pool technology.

Option A: Create a private surf club, in which case he would have to invest $10 million today (EOY 0). The club would then generate an annual free cash flow of $2 million in perpetuity starting EOY 1.
Option B: Create a surf resort and hotel open to the public, in which case he would have to invest $50 million today (EOY 0). The resort would then generate an annual free cash flow of $6.5 million in perpetuity starting EOY 1.

Assume Kelly's discount rate is 10% and that he can only invest in one of the two options. Kelly should: ________

a. Accept both options because they both have positive NPV
b. Choose Option A because it has a higher IRR
c. Reject both options because both have an IRR less than 10%
d. Choose Option B because it has a higher NPV

Question

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andromache andromache · Answer 1 · 2021-05-06T03:41:14+02:00

Answer:

d. Choose Option B because it has a higher NPV

Explanation:

The computation is shown below:

For Option A:

Investment = $10 million

Present Value of cash flows = Cash flow ÷ Discounting rate

= $2 ÷ 10%

= $20 million

Now

NPV = $20 - $10

= $10 million

We know that

IRR is the rate at which the NPV will be zero

So, 2 ÷ r - 10 = 0

r = 20%

For Option B:

Investment = $50 million

Present Value of cash flows = $6.5 ÷ 10% = $65 million

NPV = $65 - $50 = $15 million

we know that

IRR is the rate at which the NPV will be zero

So, 6.5÷ r -50 = 0

r = 13%

Based on NPV, Option B should be selected as it contains higher NPV as compared to option A.

However, Based on IRR, Option A should be chosen as it contains higher IRR and a higher IRR represent a higher profit percentage