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## Personal finance

### Course: Personal finance > Unit 7

Lesson 1: Buying vs. leasing# Buying vs. leasing a car

How does buying a new car compare to leasing one? Created by Sal Khan.

## Want to join the conversation?

- Does anyone know how to calculate the monthly payments? I multiplied 1.0422×15,700 and divided by 36 months and still couldn't get that number.(1 vote)
- The answer is much more difficult than you were expecting, because the interest is paid not on the principal, but it is calculated monthly on the remaining balance. There is a video called "Finite geometric sequences applied to mortgages" (or something like that) under this same course but under the "Housing" section. In that video, Sal explains how to calculate monthly payments when the interest is calculated on the remaining balance and not on the principal.(4 votes)

- much will monthly payments be for a 2020 Nissan Altima?(1 vote)
- You would have to check with your local vehicle dealer for more accurate information on that. Your credit score, among other factors, will affect your monthly payment.(2 votes)

- imma section 8. But imma work at sum wit good wage(1 vote)
- This assumes you're buying new and borrowing the money. What if you buy a car that's a little older with cash?(0 votes)
- Basically, when you buy an older vehicle and pay the full price with cash, you won't have to worry about the interest rates and other details associated with loans. You just fill out the required paperwork, pay the seller for the vehicle in full, pay any taxes and transaction fees at the tax assessor's office, and expect to receive the title of the vehicle (with your name as new owner) within a certain timeframe.(3 votes)

- is leasing cheaper then buying a car?(1 vote)
- Yes, if you don't lease for too long or the leased car does not drop in value.(1 vote)

- what happens if buy the car from a private sale?(1 vote)
- Well, pretty simple. Most of the time they won't let you take a loan, so it's just the price tag.(1 vote)

## Video transcript

Let's say you're in the market for a new car and you're trying to figure out how you want to pay for it. The price of the car is $17,700 and you have two options. You could either buy the car, but you don't have $17,700 sitting in your bank account. You have enough for a down payment of $2,000 and so when you buy it you would essentially have to take out a loan for the remainder of the car. Your other option is to lease the car, essentially rent the car from the dealership. This other information is essentially the terms of either the loan or the lease. So here you put $2,000 down you're able to borrow the money at a 4.22% interest rate. The term is three years, which means if you pay the same monthly payment for the three years at the end of those three years you will own the car out right and then here we had the expected resale. There's no place that we can just look up the expected resale in three years, but you could use how that same make or model how that has performed in the past three years to get an estimate of what what would it likely sell for in three years. Now your other option is a lease. You could out $2,000 down and to make kind of an apples to apples comparison we'll have it over the same three years, so this is essentially your agreeing to lease it for these three years paying $159 a month. So it's a lower monthly payment and at the end of the three years you have a buy back option. If you want to keep the car you can pay the dealer $12,200 to keep it. So let's think about two scenarios here. Let's say that the first scenario is a scenario where you want to keep it and in that scenario let's compare the buy option to the lease option. When I say compare it let's just do a back of the envelope calculation for if you want to buy it what's the total amount of money that you have had to pay in order to keep the car after three years and the same exact question for the lease. If you want to keep after three years what is the total amount of money you would have had to pay and the amount of money that you would have to pay to keep it and I encourage you to pause the video right now and try to figure that out on your own before we work through it together. I'm assuming you've had a go at it so let's work through this. So if you want to buy the car and keep it after three years you're going to put down $2,000, you're going to put down $2,000. Then you're going to have three years of payments at $465 a month, so essential 36 payments. So that's going to be 465 times 36, 464 dollars a month times 36 months and then you don't have to pay anything after three years. You will own your car out right. So this is essentially the total amount that you would have to put to keep the car out right. So let's calculate that. So that's going to be $2,000 plus $465 a month times 36 months gets us to $18,740. So we have $18,740 and if you're wondering why is this number higher than this number, why is 18,740 higher than 17,700? It's because when you borrowed the money you had to pay some interest. So the total amount that you paid is higher and the difference between the two is the interest that you're paying. Now let's think about the lease situation. In the lease situation you still had to put $2,000 down. Let me do that in the lease color. So you still had to put $2,000 down. Then you had three years of payments at $159 a month. So you're going to have 159 times 36 months over three years and then if you want to keep the car, remember that's the scenario we're thinking about, you also have to pay the buy back. You have to pay 12,200. 12,200 and so if we sum all of that together we get 2,000 plus 159 times 36 plus 12,200 is equal to 19,924. 19,924. So when you look just at, you know, just this back of the envelop calculation that we just did what is the total amount of dollars that you had to pay over the three years and I didn't do all the fancy present value and all the rest, there's other videos on that. This is really just kind of a a back of the envelope calculation. It's pretty clear that you had to pay in aggregate less to buy. Now there are some trade-offs here. The monthly payment was higher. The monthly payment was higher so you could only do this if you had $465 a month in order to make this payment and there's also trade-offs here. If you decided to lease this isn't the only thing that you have to deal with there also tends to be limits on the mileage. Often times they might say every mile above 12,000 miles a year is 15 cents a mile or 20 cents a mile and so one you have to worry about that and also you might have to pay even more than this 19,924. You might be thinking okay, Sal, well you know that's if I wanted to keep the car, but I like to always be driving a relatively new car and I might want to actually not keep the car after three years so let's think about that scenario. So let's look at that one. So let's give up car. Give up the car. So in the situation where you're buying it if you give up the car you're going to pay the 18,800 ... 18,740 That's what you're going to pay and then you're going to get 12,000 when you sell it, that's just our expected resale. So minus, that's what you're going to get. So your net that you had to pay up is going to be $6,740 is the net that you had to pay essentially for the ability to use that car over three years. Now what's the scenario in the lease well then you're going to have you're going to have the $2,000, $2,000 and you're going to have the $159 per month times 36 months and you won't have to pay the buy back you're just going to return the car. So that's going to give us 2,000 plus 159 times 36 gets us to 7,724, 7,724. So once again even when you're going to give up the car in terms of just the actual dollars that you had to pay out it looks like you're doing better having brought the car, but once again trade-offs. You had to put out more money every month and of course on the lease side it might be even larger than this number if you go over the mileage limits. So it depends on your context, but at least in these two scenarios you're going to it looks like the more economical thing to do and there's other trade-offs sometimes there's tax advantages to leasing or business advantages or whatever else, but just doing the simple calculation the buying seems better at least for these scenarios.