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Rent Equivalent Mortgage Calculator

Mortgage Payment Formula:

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

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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 helps compare rental costs to equivalent mortgage payments.

2. How Does the Calculator Work?

The calculator uses the standard mortgage formula:

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

Where:

Explanation: The formula accounts for both principal repayment and interest charges, with payments being constant over the loan term.

3. Importance of Mortgage Calculation

Details: Calculating equivalent mortgage payments helps renters compare their current housing costs to potential home ownership expenses and make informed financial decisions.

4. Using the Calculator

Tips: Enter the total loan amount in dollars, annual interest rate as a percentage (e.g., 3.5 for 3.5%), and total number of monthly payments (e.g., 360 for 30 years).

5. Frequently Asked Questions (FAQ)

Q1: How does this compare to actual home ownership costs?
A: This calculates only principal and interest. Actual costs include property taxes, insurance, and maintenance (typically 25-40% more).

Q2: What's a good interest rate?
A: Rates vary by market conditions. As of 2023, rates between 3-6% are typical for conventional mortgages.

Q3: How does loan term affect payments?
A: Shorter terms (15 vs 30 years) have higher monthly payments but much less total interest paid.

Q4: Should I include down payment in calculations?
A: No, this calculator works with the financed amount only. Subtract your down payment from home price to get loan amount.

Q5: How accurate is this for adjustable-rate mortgages?
A: This assumes fixed rates. ARMs would have changing payments after the initial fixed period.

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