Kiddy Toy Corporation needs to acquire the use of a machine to
be used in its manufacturing process. The machine needed is
manufactured by Lollie Corp. The machine can be used for 15 years
and then sold for $20,000 at the end of its useful life. Lollie has
presented Kiddy with the following options: (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.)
1. Buy machine. The machine could be purchased for
$170,000 in cash. All insurance costs, which approximate $15,000
per year, would be paid by Kiddy.
2. Lease machine. The machine could be leased for a
15-year period for an annual lease payment of $35,000 with the
first payment due immediately. All insurance costs will be paid for
by the Lollie Corp. and the machine will revert back to Lollie at
the end of the 15-year period.
Required:
Assuming that a 12% interest rate properly reflects the time value
of money in this situation and that all maintenance and insurance
costs are paid at the end of each year, determine which option
Kiddy should choose. Ignore income tax considerations.
(Negative amounts should be indicated by a minus sign.
Round your final answers to nearest whole dollar
amount.
PV | |
BUY OPTION | |
LEASE OPTION | |
KIDDY SHOULD CHOOSE |
Given, interest rate = 12%
Option 1: Buy Machine
Given, costs are as follows:
Cost price $170,000 now
Maintenance and insurance costs $15,000 at the end years 1 through 15
Salvage value $20,000 at the end year 15
Present value of costs= 170000 + 15000*(PVA 12%,15) – 20000*(PV 12%,15)
=170000+ 15000* 6.810864 – 20000* 0.182696
= 170000 + 102162.97 – 3653.93 = $268,509
Option 2: Lease Machine
Costs are $35,000 each at the beginning of 15 years
Present value of costs= 35,000*(PVAD 12%, 15)
= 35,000* 7.628168 = $266,986
Present value of costs of lease option is lower than that of buy option. Hence Lease is chosen.
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