Use this 4-variable calculator to model mortgage scenarios. Enter any three values to solve for the fourth, based on a compound growth model.
Mortgage Calculator
Your calculated value will appear here.
Mortgage Formula (Compound Growth)
F = P * (1 + V) ^ Q
Formula Source: InvestopediaVariables
- Future Value (F): The total future value of the loan after interest.
- Principal Loan Amount (P): The initial amount of money borrowed.
- Annual Interest Rate (V): The yearly interest rate as a decimal.
- Loan Term in Years (Q): The number of years the loan is for.
Related Calculators
- Monthly Payment Calculator
- Mortgage Amortization Calculator
- Home Affordability Calculator
What is this Mortgage Calculator?
This calculator uses the standard **compound interest formula** (`F = P * (1 + V)^Q`) to model mortgage scenarios. It allows you to solve for any of the four variables, providing flexibility for financial planning. For example, you can see the total future value (F) of a loan, or solve for the principal (P) you can afford given a future value target.
This is a **conceptual model** and differs from a standard mortgage *payment* calculator, which calculates a fixed monthly payment (including principal and interest) using a more complex amortization formula. This tool is better for understanding the high-level growth of a loan amount over time due to compounding interest, assuming no payments are made (like in an interest-accruing loan).
How to Calculate Mortgage Growth (Example)
Let’s find the Future Value (F) of a loan principal.
- Principal Loan Amount (P): $300,000
- Annual Interest Rate (V): 0.06 (for 6%)
- Loan Term in Years (Q): 30 years
- Formula:
F = P * (1 + V)^Q - Calculation:
F = 300000 * (1 + 0.06)^30 F = 300000 * (1.06)^30F = 300000 * 5.74349- Future Value (F) = $1,723,047.31
Frequently Asked Questions (FAQ)
How is this different from a monthly payment calculator?
A standard mortgage calculator finds the fixed monthly payment (`M`) needed to pay off a loan. This calculator uses a simpler compound growth formula (`F = P * (1+V)^Q`) to show the total value of a principal sum as it compounds over time, *without* factoring in monthly payments.
How do I enter the Interest Rate (V)?
You must enter the annual rate as a decimal. For example, for a 6.5% interest rate, you would enter 0.065 in the (V) field.
Can I solve for the Interest Rate (V)?
Yes. If you provide the Future Value, Principal Amount, and Loan Term, the calculator will solve for (V) to show the implied annual interest rate.
What happens if I enter four values?
If you enter all four values, the calculator will check if they are mathematically consistent. It is designed to solve for one missing value, so you must leave exactly one field blank.