The additional dining space will occupy space next to Olaf’s that was recently rented to a tenant. By claiming the space for the project, the firm will no longer be able to rent the space at $1,000 per month. Kristoff wants to evaluate this project over a four year time period. The after-tax operating profit margin on the renting the space is 30%. If Kristoff wants a 9% APR on Olaf cash flows, what is the present value of this opportunity cost? (rent is paid as the beginning of the month)

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aquialaska aquialaska · Answer 1 · 2020-05-16T05:26:34+02:00

Answer:

$12,146

Explanation:

The computation of present value of this opportunity cost is shown below:-

Net After tax Operating Profit Per month = Rent space per month × Profit margin on the renting the space percentage

= $1,000 × 30%

= $300

Project is for 4 Years

Total months = 4 × 12

= 48 Months

Interest Rate Per month = 9% ÷ 12

= 0.75%

As per the question the Rent is Received at the start of the month

So Present Value of this opportunity cost = $300 (1 + PVAF (0.75%,47))

= $300 × ( 1 + 39.486)

= $12,145.85

= $12,146