Question
Leasing the car Down payment {A} $5,000.00 Interest (compounded annually) {B} 5.50% List Price {C} $23,600.00 Additional purchase costs {D} $1,637.00 Term in months {F}
Leasing the car | ||
Down payment | {A} | $5,000.00 |
Interest (compounded annually) | {B} | 5.50% |
List Price | {C} | $23,600.00 |
Additional purchase costs | {D} | $1,637.00 |
Term in months | {F} | 60 |
Monthly payments (without HST) | {G} | $240.00 |
(beginning-of-month payments) | ||
Residual (FV) payment to own | {H} | $12,300.00 |
Financing the car | ||
Down payment | {A} | $5,000.00 |
Interest (compounded annually) | {B} | 5.50% |
List Price | {C} | $23,600.00 |
Additional purchase costs | {E} | $1,883.00 |
Term in months | {F} | 60 |
a. A salesperson at the car dealership gave Amandeep the following table illustrating the comparison of the lease vs. finance options for the vehicle he liked.
b.Draw a detailed timeline for the lease option. Be sure to include the residual value (with HST) at the end of the last payment interval, the net price, and the after-tax payments at equal payment intervals.
c.Which option would be most economical for Amandeep? Show all calculations and provided a detailed explanation with your answer. Hint: Compare NPVs
d.What should the residual payment be (including taxes) in order to make both options equal?
e.Which option would be most economical if the residual value was $20,000 (including HST) for the lease option?
Leasing the car | Financing the car | |
Down Payment | $5,000.00 | $5,000.00 |
Interest Rate (compounded annually) | 5.50% | 5.50% |
List Price | $23,600.00 | |
Additional purchase costs | $1,883.00 | |
13% HST | [applied to additional purchase costs and list price] | |
Net Price | ||
Term in months | 60 | 60 |
Monthly payments | [BGN] * add HST $240.00+$240.00*13%=$271.20 | [END] |
Residual (FV) payment to own | * add HST |
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