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Union Savings Bank Mortgage Rate Calculator

Mortgage Payment Formula:

\[ PMT = P \times \frac{r}{12} \times \frac{(1 + \frac{r}{12})^{12 \times t}}{(1 + \frac{r}{12})^{12 \times t} - 1} \]

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. This formula accounts for both principal and interest components of the payment.

2. How Does the Calculator Work?

The calculator uses the mortgage payment formula:

\[ PMT = P \times \frac{r}{12} \times \frac{(1 + \frac{r}{12})^{12 \times t}}{(1 + \frac{r}{12})^{12 \times t} - 1} \]

Where:

Explanation: The formula calculates the fixed monthly payment needed to pay off a mortgage over the specified term, accounting for compound interest.

3. Importance of Mortgage Calculation

Details: Accurate mortgage calculation helps borrowers understand their financial commitments, compare loan offers, and plan their budgets effectively.

4. Using the Calculator

Tips: Enter the loan amount in dollars, annual interest rate as a percentage, and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is included in the monthly payment?
A: This calculation includes principal and interest only. Actual payments may include property taxes, insurance, and PMI if applicable.

Q2: How does interest rate affect the payment?
A: Higher interest rates significantly increase monthly payments. Even a 0.5% rate difference can substantially impact the total payment amount.

Q3: What is loan amortization?
A: Amortization is the process of paying off a loan through regular payments that cover both principal and interest over the loan term.

Q4: Can I calculate different loan terms?
A: Yes, you can calculate payments for various terms (15, 20, 30 years) to compare different mortgage options.

Q5: Are there other costs besides principal and interest?
A: Yes, homeowners should also budget for property taxes, homeowners insurance, and possibly private mortgage insurance (PMI) if the down payment is less than 20%.

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