Question

Esquire Company needs to acquire a molding machine to be used in its manufacturing process. Two types of machines that would be appropriate are presently on the market. The company has determined the following: (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Machine A could be purchased for $66,000. It will last 10 years with annual maintenance costs of $2,300 per year. After 10 years the machine can be sold for $6,930. Machine B could be purchased for $60,000. It also will last 10 years and will require maintenance costs of $9,200 in year three, $11,500 in year six, and $13,800 in year eight. After 10 years, the machine will have no salvage value. Required: Assume an interest rate of 8% properly reflects the time value of money in this situation and that maintenance costs are paid at the end of each year. Ignore income tax considerations. Calculate the present value of Machine A & Machine B. Which machine Esquire should purchase? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your final answers to nearest whole dollar amount.)

Answer 1

PV of Machine A = PV of purchasing price + PV of annual maintenance + PV of salvage value

                        = - $ 66,000 x PVIF (8 %, 0) - $ 2,300 x PVIFA (8 %, 10) + $ 6,930 x PVIF (8 %, 10)

                        = - $ 66,000 – ($ 2,300 x 6.7101) + ($ 6,930 x 0.4632)

                       = - $ 66,000 - $ 15,433.230 + $ 3,209.976

                       = - $ 78,223.254

PV of Machine B = PV of purchasing price + PV of annual maintenance in year 3, 6 and 8

  = - $ 60,000 x PVIF (8 %, 0) - $ 9,200 x PVIF (8 %, 3) -$ 11,500 x PVIF (8 %, 6)- $ 13,800 x PVIF (8 %, 8)

= - $ 60,000 – ($ 9,200 x 0.7938) – ($ 11,500 x 0.6302)- ($ 13,800 x 0.5403)

= - $ 60,000 - $ 7,302.96 - $ 7,247.30 - $ 7,456.14

= - $ 82,006.40

Esquire should purchase machine A.