Use PMT= to determine the regular payment amount, rounded to the nearest dollar. The price of a small cabin is $55,000. The bank requires a 5% down payment. The buyer is -nt" [1₁- (₁ + 5) offered two mortgage options: 20-year fixed at 10% or 30-year fixed at 10%. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the 20-year option? Find the monthly payment for the 20-year option. $ (Round to the nearest dollar as needed.)

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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This is the part i got the solutions wrond. please help me

**Mortgage Calculation Example**

To determine the regular payment amount for a mortgage, use the formula:

\[ \text{PMT} = \frac{P \left( \frac{r}{n} \right)}{1 - \left( 1 + \frac{r}{n} \right)^{-nt}} \]

Where:
- \( \text{PMT} \) is the monthly payment
- \( P \) is the principal amount (loan amount)
- \( r \) is the annual interest rate (as a decimal)
- \( n \) is the number of payments per year
- \( t \) is the number of years

**Scenario:**

- The price of a small cabin is $55,000.
- The bank requires a 5% down payment.
- The buyer is offered two mortgage options:
  - 20-year fixed at 10%
  - 30-year fixed at 10%

**Objective:**

1. Calculate the monthly payment for the 20-year option.
2. Calculate the total amount of interest paid for each option.
3. Determine how much the buyer saves in interest with the 20-year option compared to the 30-year option.

**Step 1: Find the Monthly Payment for the 20-Year Option**

Calculate the monthly payment using the given formula and rounding to the nearest dollar as needed.

[Insert calculation steps here, followed by the answer box.]

(Note: This example does not include graphs or diagrams.)
Transcribed Image Text:**Mortgage Calculation Example** To determine the regular payment amount for a mortgage, use the formula: \[ \text{PMT} = \frac{P \left( \frac{r}{n} \right)}{1 - \left( 1 + \frac{r}{n} \right)^{-nt}} \] Where: - \( \text{PMT} \) is the monthly payment - \( P \) is the principal amount (loan amount) - \( r \) is the annual interest rate (as a decimal) - \( n \) is the number of payments per year - \( t \) is the number of years **Scenario:** - The price of a small cabin is $55,000. - The bank requires a 5% down payment. - The buyer is offered two mortgage options: - 20-year fixed at 10% - 30-year fixed at 10% **Objective:** 1. Calculate the monthly payment for the 20-year option. 2. Calculate the total amount of interest paid for each option. 3. Determine how much the buyer saves in interest with the 20-year option compared to the 30-year option. **Step 1: Find the Monthly Payment for the 20-Year Option** Calculate the monthly payment using the given formula and rounding to the nearest dollar as needed. [Insert calculation steps here, followed by the answer box.] (Note: This example does not include graphs or diagrams.)
Expert Solution
Step 1

The liability utilised to finance the need for funds is called a borrowing. The borrower is required to make annual payments on the borrowed money.

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