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Home Loan Principal Repayment Calculator

Home Loan Principal Repayment Formula:

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

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%
years

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1. What is the Home Loan Principal Repayment Formula?

The Home Loan Principal Repayment formula calculates the fixed monthly payment required to fully repay a home loan over its term. This payment includes both principal and interest components, with higher principal repayment in later payments.

2. How Does the Calculator Work?

The calculator uses the PMT formula:

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

Where:

Explanation: The formula accounts for the time value of money, calculating equal payments that will pay off the loan plus interest over the specified term.

3. Importance of Principal Repayment Calculation

Details: Understanding your monthly payment helps with budgeting and financial planning. The principal portion increases over time while the interest portion decreases, known as loan amortization.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why does principal repayment increase over time?
A: As you pay down the principal, less interest accrues each month, so more of your fixed payment goes toward principal.

Q2: How can I pay less interest overall?
A: Make extra principal payments when possible, choose a shorter loan term, or secure a lower interest rate.

Q3: What's the difference between principal and interest?
A: Principal is the amount you borrowed; interest is the cost of borrowing that money.

Q4: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest paid. Longer terms mean lower payments but more total interest.

Q5: Are property taxes and insurance included?
A: No, this calculator shows only principal and interest. Your actual mortgage payment may include escrow for taxes and insurance.

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