Answer:
A hypothetical example for this car financing analysis is given below:Step-by-step explanation:
1. Introduction: Imagine you are considering purchasing a brand new 2023 Tesla Model 3. You've always been fascinated by electric vehicles due to their environmental benefits and cutting-edge technology. The Model 3 appeals to you because of its sleek design, advanced autopilot features, and the positive impact it can have on reducing greenhouse gas emissions.
2. Data and Calculations:
a. Purchase Price of the Vehicle:
The base price of a 2023 Tesla Model 3 is $40,000.
Additional options, such as autopilot and premium interior, bring the total purchase price to $50,000.
b. Sales Tax Rate:
The sales tax rate in your locality is 7.5%.
c. Trade-in Vehicle:
You plan to trade in your current vehicle, a 2017 Honda Civic. You've researched and found its trade-in value to be $10,000.
d. Down Payment and Interest Rate:
You will make a 15% down payment in cash, which is $7,500 (15% of $50,000).
You will need to finance the remaining amount, which is $42,500 ($50,000 - $7,500).
You've applied for a car loan with your local bank, and they offered you an interest rate of 4.5%.
e. Monthly Payment Calculation:
You will finance the $42,500 over a 60-month (5-year) period.
To calculate the monthly payment, you can use the formula for a fixed-rate auto loan:
Monthly Payment=P⋅r⋅(1+r)^n / (1+r)^(n−1)
where:
P is the principal amount borrowed, which is $42,500.
r is the monthly interest rate, which can be calculated by dividing the annual interest rate by 12 (4.5% / 12).
n is the total number of payments, which is 60 (5 years x 12 months per year).
After calculating, you'll find your monthly payment.
3. Conclusion:
The total amount you will end up paying for the Tesla Model 3 at the end of the 5-year loan period, including the interest, is the sum of all monthly payments.
Calculate how much interest you will have paid on the loan by subtracting the principal amount borrowed from the total amount paid.
This analysis helps you understand the financial aspects of buying your dream car and the long-term costs associated with the purchase.