Question: Leasing the car Down payment {A} $2,000.00 Interest (compounded annually) {B} 5.90% List Price {C} $27,300.00 Additional purchase costs {D} $1,515.00 Term in months {F}

Leasing the car
Down payment {A} $2,000.00
Interest (compounded annually) {B} 5.90%
List Price {C} $27,300.00
Additional purchase costs {D} $1,515.00
Term in months {F} 48
Monthly payments (without HST) {G} $220.00
(beginning-of-month payments)
Residual (FV) payment to own {H} $12,600.00
Financing the car
Down payment {A} $2,000.00
Interest (compounded annually) {B} 5.90%
List Price {C} $27,300.00
Additional purchase costs {E} $1,742.00
Term in months {F} 48

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? Provide justification for your answer.

Leasing the car

Financing the car

Down Payment

$2,000.00

$2,000.00

Interest

Rate (compounded annually)

5.90%

5.90%

List Price

$27,300.00

Additional

purchase costs

$1,515.00

13% HST

[applied to additional purchase costs and list price]

Net Price

Term in months

48

48

Monthly payments

[BGN] * add HST

$220.00+$220.00*13%=$248.60

[END]

Residual (FV) payment to own

* add HST

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