Question

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 10 years and then sold for $14,000 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 $164,000 in cash. All maintenance and insurance costs, which approximate $9,000 per year, would be paid by Kiddy.(2) Lease machine. The machine could be leased for a 10-year period for an annual lease payment of $29,000 with the first payment due immediately. All maintenance and insurance costs will be paid for by the Lollie Corp. and the machine will revert back to Lollie at the end of the 10-year period.Required: Assuming that a 8% 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, find the present value for the following options. Ignore income tax considerations.

Answer 1

Answer:

Option A net worth  -215,906.03

Option B net worth  -210, 159.75

It is a better deal to use the machine through lease than purchase it as the net worth is lower.

Explanation:

Purchase the machine:

-164,000 purchase cost

PV of the maintenance cost

$C \times \frac{1-(1+r)^{-time} }{rate} = PV$

C -9,000.00

time 10

rate 0.08

$-9000 \times \frac{1-(1+0.08)^{-10} }{0.08} = PV$

PV -$60,390.7326

PV of the salvage value

$\frac{Maturity}{(1 + rate)^{time} } = PV$  

Maturity  14,000.00

time  10.00

rate  0.08000

$\frac{14000}{(1 + 0.08)^{10} } = PV$  

PV   6,484.7088

net worth:

-162,000 - 60,390.73 + 6,484.70 = -215,906.03

PV of the lease: (annuity-due)

$C \times \frac{1-(1+r)^{-time} }{rate} (1+rate)= PV$

C 29,000.00

time 10

rate 0.08

$29000 \times \frac{1-(1+0.08)^{-10} }{0.08} (1+0.08) = PV$

PV $210,159.7494