Question

Holly wants to explore the difference between buying and leasing a vehicle, both over 5 years with monthly payments. The car that she has an interest in has a value of $27 000, and is located in Winkler, MB. If she purchases the vehicle, she can do so with 3% financing. If she leases the vehicle, there is a residual rate of 51%, an acquisition fee of $495 and an interest rate of 5% (no security deposit is required).

Find the monthly payments for the purchase and lease of the vehicle. Holly wishes to lease the vehicle and invest what she saves on every month's payment in a savings account with an interest rate of 6.4%, compounded monthly.

After the 5 years, she wishes to take the value of her investment and use it to buy out the residual value of the car. When she does that, how much is she left with/does she owe?

This assignment is worth 8 marks. Use the following information to guide your work:

2 marks for filling out the buy/lease spreadsheet properly
1 mark for correctly identifying the monthly payments
1 mark for correctly identifying the amount saved each month
2 marks for showing work using an appropriate tool to calculate the value of the investment
1 mark for finding the correct value of the investment
1 mark for finding the amount of money Holly will have left over or the amount she will still owe

Answer 1

Buy	Lease
27000	5 yrs
3% int	Int 5%
	Residue	51%
	Acq fee	495
Buy option		Lease option	Savings from purchase
Yearly payment	3% PVF	PVCF (A)	Monthly payment		Yearly payment	5% PVF	PVCF (B)	Monthly payment	Savings per year (A-B)
5,400	0.9709	5242.718447	436.89		5,400	0.95238	5142.86	428.57	100
5,400	0.9426	5090.017909	424.17		5,400	0.90703	4897.96	408.16	192
5,400	0.9151	4941.764961	411.81		5,400	0.86384	4664.72	388.73	277
5,400	0.8885	4797.830059	399.82		5,400	0.8227	4442.59	370.22	355
5,400	0.8626	4658.087436	388.17		5,400	0.78353	4231.04	352.59	427
									1,351
Savings per year	Savings per month	Interest per month @6.4%	Amount received after one month	Amt per year
100	8.3	6.39	14.71	176.55
192	16.0	12.29	28.30	339.56
277	23.1	17.73	40.82	489.81
355	29.6	22.74	52.34	628.06
427	35.6	27.33	62.92	755.02
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