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This question seems to involve calculating loan payments based on a loan of $57,000 for 22 years at an interest rate of 3.4%, compounded quarterly. From the table, you are asked to determine payment amounts, principal, and interest for each payment period, given the first payment has an interest of $484.50.

To help you fill out the table, we need to calculate the quarterly payment using the formula for the fixed-rate loan payment:

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

Where:
- $P$ is the loan amount (\$57,000),
- $r$ is the quarterly interest rate (annual rate divided by 4),
- $n$ is the total number of payments (22 years × 4 quarters per year).

Let me compute the quarterly payment for you and help you fill out the rest of the table.

I'll begin by calculating the quarterly payment and then proceed with the rest.The quarterly payment amount is approximately **$922.52**.

Now, we can proceed to calculate the values for the first few periods (principal, interest, and remaining balance) based on this payment.

Let me compute the first three rows of the table based on this quarterly payment amount.Here are the calculations for the first three periods:

1. **Payment 1**:
   - Payment amount: $922.52
   - Principal: $438.02
   - Interest: $484.50
   - Balance: $56,561.98

2. **Payment 2**:
   - Payment amount: $922.52
   - Principal: $441.75
   - Interest: $480.78
   - Balance: $56,120.23

3. **Payment 3**:
   - Payment amount: $922.52
   - Principal: $445.50
   - Interest: $477.02
   - Balance: $55,674.72

These values can now be used to fill in the table. Would you like more details or assistance with further calculations?

### Relative questions:
1. How does compounding quarterly affect the total interest paid over the loan period?
2. What would happen if the loan had been compounded monthly instead of quarterly?
3. How do principal payments change over the life of the loan?
4. How is the interest portion calculated in an amortization schedule?
5. What formula is used to calculate the balance after each payment?

**Tip**: Early in a loan, more of each payment goes towards interest rather than principal, but over time, this shifts as the balance decreases.

You have taken a loan of $57,000.00 for 22 years at 3.4% compounded quarterly. Fill in the table with payment amounts, principal, interest, and balance for the first three periods.

Learn how to calculate a loan amortization schedule for a $57,000 loan over 22 years at 3.4%, compounded quarterly. This problem walks through key finance concepts such as loan payment calculations, compound interest, and balance tracking.

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