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.)
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.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4cbdd14-a91f-4fea-8d0f-c81e5f41dd28%2Ff0a5aa14-4c6d-4bbe-91ea-1bbe170e2e1c%2Fetqggcb_processed.png&w=3840&q=75)
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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