How To Calculate The Total Interest Cost of a Car Loan

TL;DR

Learn how to calculate the monthly car payment and total interest paid on a loan using a simple formula.

Transcript

in this video we're going to talk about how to calculate the total amount of interest that must be paid over the life of a loan and to do this we're going to break this problem into different parts the first thing we need to do is calculate the monthly card payment so let's begin jared applies for a 10-year term 25 000 loan to purchase a used car a... Read More

Key Insights

• 😨 The formula for the monthly car payment takes into account the principal, annual interest rate, number of payments per year, and loan term.
• 🙂 Rounding intermediate values in the calculation can lead to slight variations in the final answer.
• 🍉 The total cost of the loan is obtained by multiplying the monthly payment by 12 and the loan term in years.
• 🇨🇷 The total amount of interest paid can be calculated by subtracting the principal from the total cost of the loan.

Questions & Answers

Q: What formula is used to calculate the monthly car payment?

The formula used is: Monthly Payment (MP) = Principal x Annual Interest Rate / Number of Payments per Year / (1 - (1 + r/n)^(-n*t)). This formula takes into account the principal, interest rate, number of payments per year, and the loan term.

Q: How is the total cost of the loan calculated?

The total cost of the loan is calculated by multiplying the monthly payment by 12 (number of payments per year) and the loan term in years. In the example, it is $303.34 x 12 x 10 = $36,480.

Q: How is the total amount of interest paid calculated?

To calculate the total amount of interest paid, subtract the principal from the total cost of the loan. In the example, it is $36,480 - $25,000 = $11,400.

Q: Is it better to save up money and buy a car with cash?

Buying a car with cash might be advantageous as it avoids interest payments. However, considering inflation and the decreasing purchasing power of money over time, it is important to weigh the benefits of saving versus taking a loan.

Summary & Key Takeaways

• The video explains how to calculate the monthly car payment for a loan by using the formula: Monthly Payment (MP) = Principal x Annual Interest Rate / Number of Payments per Year / (1 - (1 + r/n)^(-n*t)).

• It provides an example where Jared takes out a $25,000 loan with a fixed annual interest rate of 8% for 10 years, resulting in a monthly payment of $303.34.

• It also demonstrates how to calculate the total cost of the loan, which is $36,480, and the total amount of interest paid, which is $11,400.