PROBLEM After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $35,000. The dealer has a special leasing arrangement where you pay $99 today and $499 per month for the next three years. If you purchase the car, you will pay it off in monthly payments over the next three years at a 6% Annual Percentage Rate. You believe you will be able to sell the car for $23,000 in three years. a) What is the present value of the leasing option? b) What is the present value of the buying option? c) Should you buy or lease the car? ( d) What break-even resale price in three years would make you indifferent between buying and leasing? (7 3

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PROBLEM
After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car
you wish to buy costs $35,000. The dealer has a special leasing arrangement where you pay $99 today and
$499 per month for the next three years. If you purchase the car, you will pay it off in monthly payments
over the next three years at a 6% Annual Percentage Rate. You believe you will be able to sell the car for
$23,000 in three years.
a) What is the present value of the leasing option?
b) What is the present value of the buying option?
c) Should you buy or lease the car? (
d) What break-even resale price in three years would make you indifferent between buying and
leasing? (7
3
Transcribed Image Text:PROBLEM After deciding to buy a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $35,000. The dealer has a special leasing arrangement where you pay $99 today and $499 per month for the next three years. If you purchase the car, you will pay it off in monthly payments over the next three years at a 6% Annual Percentage Rate. You believe you will be able to sell the car for $23,000 in three years. a) What is the present value of the leasing option? b) What is the present value of the buying option? c) Should you buy or lease the car? ( d) What break-even resale price in three years would make you indifferent between buying and leasing? (7 3
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