Math Problem Statement
Suppose you want to buy a $140,000 home. You found a bank that offers a 30-year loan at 5.9% APR. What will be your monthly payment? (Round to the nearest cent.)
Solution
To calculate your monthly mortgage payment, we can use the formula for a fixed-rate mortgage:
Where:
- is the monthly mortgage payment.
- is the loan amount (the price of the home), which is $140,000.
- is the monthly interest rate (the annual interest rate divided by 12). Since the APR is 5.9%, the monthly interest rate is:
- is the total number of payments (for a 30-year loan, the number of payments is 30 years × 12 months = 360 months).
Now, let’s calculate the monthly payment .Your monthly payment for the $140,000 home, with a 30-year loan at 5.9% APR, will be $830.39.
Do you want more details or have any questions?
Here are 5 related questions you might explore:
- How much total interest will you pay over the life of the loan?
- What would your payment be if the interest rate were lower, say 4.5%?
- How would the payment change if you financed for only 15 years instead of 30?
- What is the difference between APR and the actual interest rate?
- How does the principal balance change over the course of the loan?
Tip: Making extra payments toward your mortgage principal can significantly reduce the interest paid over time.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Loan Amortization
Interest Rates
Fixed-Rate Mortgages
Formulas
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)
Theorems
-
Suitable Grade Level
Grades 10-12
Related Recommendation
Calculate Monthly Mortgage Payments for $140,000 at 9.5% APR
Calculate Monthly Loan Payments for a $140,000 House at 3.75% Interest Over 10 Years
Compare Monthly Payments for a $90,000 Loan at 7.65% APR (30 Years) and 7.25% APR (15 Years)
Compare Monthly Payments for 30-Year and 15-Year Fixed-Rate Loans
Calculate Monthly Mortgage Payment for $148,000 Home with a 30-Year Loan at 3.9% APR