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1) You are thinking of leasing a car

Finance Nov 30, 2020

1) You are thinking of leasing a car. The price of the car is ?$55,000. You have ?$3,000 for a down payment. The term of the lease is four years and the interest rate is 3.5?% APR. The buyout on the lease is? 51% of its purchase price and it is due at the end of the term. What are the monthly lease payments? (before tax)?

2) You are thinking of leasing a car. The price of the car is ?$60,000. You have ?$4,000 for a down payment. The term of the lease is five years and the interest rate is 3?% APR. The buyout on the lease is? 51% of its purchase price and it is due at the end of the term. What are the monthly lease payments? (before tax)?

Expert Solution

1) We can calculate the monthly lease payments by using the following formula in excel:-

=pmt(rate,nper,-pv,fv)

Here,

Pmt = Monthly lease payments

Rate = 3.5%/12 = 0.29167% (monthly)

Nper = 4*12 = 48 periods (monthly)

PV = $55,000 - $3,000 = $52,000

FV = $55,000*51% = $28,050

Substituting the values in formula:

= pmt(0.29167%,48,-52000,28050)

= $617.24

2) We can calculate the monthly lease payments by using the following formula in excel:-

=pmt(rate,nper,-pv,fv)

Here,

Pmt = Monthly lease payments

Rate = 3%/12 = 0.25% (monthly)

Nper = 5*12 = 60 periods (monthly)

PV = $60,000 - $4,000 = $56,000

FV = $60,000*51% = $30,600

Substituting the values in formula:

= pmt(0.25%,60,-56000,30600)

= $532.90

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