Question
Given the below lease terms at a local car dealership, what is the total cash paid by the end of the lease when at signing the dealership required a down payment, security deposit, acquisition fee at signing and all the monthly payments paid?
Length of lease = 36
months
MSRP of the car = $22,750
Purchase value of the car after lease = $16,900
Down payment = $1,800
Monthly payment = $475
Security deposit = $375
Acquisition fee = $300
$17,100
$19,575
$2,275
$22,750
Length of lease = 36
months
MSRP of the car = $22,750
Purchase value of the car after lease = $16,900
Down payment = $1,800
Monthly payment = $475
Security deposit = $375
Acquisition fee = $300
$17,100
$19,575
$2,275
$22,750
Answers
GPT-4o mini
To calculate the total cash paid by the end of the lease, we need to consider all the components that you mentioned:
1. **Down Payment**: $1,800
2. **Security Deposit**: $375 (this is usually refundable)
3. **Acquisition Fee**: $300
4. **Monthly Payments**: $475 for 36 months
First, we calculate the total of the monthly payments:
\[
\text{Total Monthly Payments} = 36 \text{ months} \times 475 \text{ dollars/month} = 17,100 \text{ dollars}
\]
Now, we add up all these amounts to find the total cash paid by the end of the lease:
\[
\text{Total Cash Paid at Signing} = \text{Down Payment} + \text{Security Deposit} + \text{Acquisition Fee}
\]
\[
\text{Total Cash Paid at Signing} = 1,800 + 375 + 300 = 2,475 \text{ dollars}
\]
Next, add in the total of the monthly payments:
\[
\text{Total Cash Paid by End of Lease} = \text{Total Monthly Payments} + \text{Total Cash Paid at Signing}
\]
\[
\text{Total Cash Paid by End of Lease} = 17,100 + 2,475 = 19,575 \text{ dollars}
\]
Thus, the total cash paid by the end of the lease is **$19,575**.
1. **Down Payment**: $1,800
2. **Security Deposit**: $375 (this is usually refundable)
3. **Acquisition Fee**: $300
4. **Monthly Payments**: $475 for 36 months
First, we calculate the total of the monthly payments:
\[
\text{Total Monthly Payments} = 36 \text{ months} \times 475 \text{ dollars/month} = 17,100 \text{ dollars}
\]
Now, we add up all these amounts to find the total cash paid by the end of the lease:
\[
\text{Total Cash Paid at Signing} = \text{Down Payment} + \text{Security Deposit} + \text{Acquisition Fee}
\]
\[
\text{Total Cash Paid at Signing} = 1,800 + 375 + 300 = 2,475 \text{ dollars}
\]
Next, add in the total of the monthly payments:
\[
\text{Total Cash Paid by End of Lease} = \text{Total Monthly Payments} + \text{Total Cash Paid at Signing}
\]
\[
\text{Total Cash Paid by End of Lease} = 17,100 + 2,475 = 19,575 \text{ dollars}
\]
Thus, the total cash paid by the end of the lease is **$19,575**.