Consider a student loan of ​$25 comma 000 at a fixed APR of 9​% for 25 years.
a. Calculate the monthly payment.
b. Determine the total amount paid over the term of the loan.
c. Of the total amount​ paid, what percentage is paid toward the principal and what percentage is paid for interest.
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Part 1
a. The monthly payment is ​$

enter your response here.
​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

To calculate the monthly payment for a student loan, we can use the formula for the monthly payment of an amortizing loan:

\[
M = \frac{P \times r \times (1 + r)^n}{(1 + r)^n - 1}
\]

Where:
- $ M $ is the monthly payment.
- $ P $ is the loan principal (the initial amount borrowed), which is $25,000.
- $ r $ is the monthly interest rate, which is the annual interest rate divided by 12.
- $ n $ is the total number of payments, which is the loan term in years multiplied by 12.

Let's plug in the values:

- $ P = 25,000 $
- Annual interest rate $ = 9\% = 0.09 $
- Monthly interest rate $ r = \frac{0.09}{12} $
- Loan term $ n = 25 \times 12 = 300 $ months

Now, let's calculate the monthly payment.The monthly payment is approximately **$209.80**.

Would you like the detailed steps for this calculation or help with any further questions? Here are some related questions:

1. How is the total interest paid over the loan term calculated?
2. What happens to the monthly payment if the interest rate changes?
3. How does the loan term affect the total amount paid?
4. What would be the monthly payment for a different loan amount?
5. How can early payments reduce the total interest paid?

**Tip:** Making additional payments toward your loan principal can reduce the total interest paid over the life of the loan.

Learn how to calculate the monthly payment and total cost of a $25,000 student loan at 9% APR over 25 years. Understand the breakdown of principal and interest payments. Suitable for high school students and anyone interested in loan amortization calculations.

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