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You must decide whether to buy a new car for $18,000 or lease the same car over a three-year period. Under the terms of the lease, you can make a down payment of $1000 and have monthly payments of $250. At the end of the three years, the leased car has a residual value (the amount you pay if you choose to buy the car at the end of the lease period) of $11,000. Assume you can sell the new car at the end of the three years at the same residual value Is it less expensive to buy or to lease? The cost for buying the car and selling it after three years

User Masanori
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2 Answers

14 votes
14 votes

Final answer:

Buying the car outright and selling it after three years would cost a total of $7,000, whereas leasing the car would cost $10,000 over three years without buying it afterward. If you choose to lease first and then buy the car at the end of the lease, the total cost would be $21,000. Therefore, buying the car is the less expensive option in this scenario.

Step-by-step explanation:

To determine whether it is more cost-effective to buy or lease the car in question, we need to calculate the total expenses incurred in both scenarios over the three-year period.

Buying the Car:

When buying the car for $18,000 and selling it after three years at the residual value of $11,000:

  • Total paid = Purchase price – Residual value
  • Total paid = $18,000 – $11,000
  • Total paid = $7,000

Leasing the Car:

When leasing the car with a $1,000 down payment and monthly payments of $250 for three years:

  • Total lease payments = (Monthly payment × Number of months) + Down payment
  • Total lease payments = ($250 × 36) + $1,000
  • Total lease payments = $9,000 + $1,000
  • Total lease payments = $10,000

If you decide to buy the car at the end of the lease for the residual value of $11,000, the total amount spent would be:

  • Total cost of leasing and buying = Total lease payments + Residual value
  • Total cost of leasing and buying = $10,000 + $11,000
  • Total cost of leasing and buying = $21,000

Therefore, in this scenario, it is less expensive to buy the car outright and sell it after three years as it would cost $7,000 compared to leasing it first and then buying it, which would cost $21,000 in total. Leasing alone without purchasing the car at the end of the term would cost $10,000.

User Deepfreeze
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26 votes
26 votes

Answer:

It is less expensive to buy a new car.

Step by step explanation:

New car costs: $18,000

To determine the costs of the lease:


\begin{gathered} \text{Lease}=(1,000+250(36\text{ months))+11,000} \\ \text{Lease}=(1,000+9,000)+11,000 \\ \text{Lease}=10,000+11,000 \\ \text{Lease}=21,000 \end{gathered}

Therefore, it is less expensive to buy a new car.

User Daniel Abou Chleih
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2.6k points