Consider a loan of $7000 with an APR of 9% and a loan term of 10 years. Complete parts (a) through (c) below. a. Use technology to construct a table showing the interest payment and loan balance after each month. Verify that, with monthly payments of $88.67, the loan balance reaches $0 after 120 months. (Do not round until the final answer. Then round to the nearest cent as needed.) Month Interest Principal Balance $7000.00 S6963 83 S52.50 S36.17 1 119 120

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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**Loan Amortization Table Construction**

This example demonstrates how to create a loan amortization table for a loan of $7,000 with an Annual Percentage Rate (APR) of 9% and a loan term of 10 years. The objective is to verify that with monthly payments of $88.67, the loan balance will be reduced to $0 after 120 months.

*Instructions for Part (a)*

**Objective:** Use technology to construct a table showing the interest payment, principal payment, and loan balance after each month.

*Note:* Do not round until the final answer. Then, round to the nearest cent as needed.

**Loan Amortization Details:**

- **Initial Loan Amount:** $7,000
- **Monthly Payment:** $88.67
- **APR:** 9%
- **Loan Term:** 10 years (120 months)

| Month | Interest | Principal | Balance  |
|-------|----------|-----------|----------|
| 0     |          |           | $7,000.00|
| 1     | $52.50   | $36.17    | $6,963.83|
| 2     |          |           |          |
| ...   |          |           |          |
| 119   |          |           |          |
| 120   |          |           |          |

**Diagram Explanation:**

- The table is structured to show each month from the start of the loan (month 0) to the end (month 120).
- Under each month, the columns display the interest payment, principal payment, and remaining loan balance.
- The interest for the first month is calculated as $52.50, and the principal payment is $36.17, reducing the initial balance from $7,000.00 to $6,963.83.
- The process repeats, with monthly payments continuing until month 120 when the balance should reach $0.
Transcribed Image Text:**Loan Amortization Table Construction** This example demonstrates how to create a loan amortization table for a loan of $7,000 with an Annual Percentage Rate (APR) of 9% and a loan term of 10 years. The objective is to verify that with monthly payments of $88.67, the loan balance will be reduced to $0 after 120 months. *Instructions for Part (a)* **Objective:** Use technology to construct a table showing the interest payment, principal payment, and loan balance after each month. *Note:* Do not round until the final answer. Then, round to the nearest cent as needed. **Loan Amortization Details:** - **Initial Loan Amount:** $7,000 - **Monthly Payment:** $88.67 - **APR:** 9% - **Loan Term:** 10 years (120 months) | Month | Interest | Principal | Balance | |-------|----------|-----------|----------| | 0 | | | $7,000.00| | 1 | $52.50 | $36.17 | $6,963.83| | 2 | | | | | ... | | | | | 119 | | | | | 120 | | | | **Diagram Explanation:** - The table is structured to show each month from the start of the loan (month 0) to the end (month 120). - Under each month, the columns display the interest payment, principal payment, and remaining loan balance. - The interest for the first month is calculated as $52.50, and the principal payment is $36.17, reducing the initial balance from $7,000.00 to $6,963.83. - The process repeats, with monthly payments continuing until month 120 when the balance should reach $0.
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