Brubaker Inc., a manufacturer of high-sugar, low-sodium, low-cholesterol frozen dinners, would like to increase its market share in the Sunbelt. In order to do so, Brubaker has decided to locate a new factory in the Panama City, Florida, area. Brubaker will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three buildings.
Building A: Purchase for a cash price of $610,000, useful life 25 years.
Building B: Lease for 25 years with annual lease payments of $70,000 being made at the beginning of the year.
Building C: Purchase for $650,000 cash. This building is larger than needed; however, the excess space can be sublet for 25 years at a net annual rental of $6,000. Rental payments will be received at the end of each year. Brubaker Inc. has no aversion to being a landlord.


Instructions


In which building would you recommend that Brubaker Inc. locate, assuming a 12% cost of funds?

Respuesta :

Answer: Building C

Explanation:

We will take out the present value of each of the alternative

A: PV = $610000

B: PV = 70000 + 70000×(P/A,12%,24) = 614902

Where, [P/A, r %, n] = [((1+r)^n -1)/(r(1+r)^n]

r=12%=12/100=0.12 ;  n=24

70000 + 70000 * [((1+0.12)^24 -1)/(0.12(1+0.12)^24]

= $614902

C: PV = 650000- 6000×(P/A,12%,25) = 602941

 recall, [P/A, r %, n] = [((1+r)^n -1)/(r(1+r)^n]

r=12%=12/100=0.12 ;  n=25

650000 - 6000 * [((1+0.12)^25 -1)/(0.12(1+0.12)^25]

= $602941

Thus, the minimum will be selected, that is building C