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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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