Home Back

Calculator With PRB

PRB Equation:

\[ Result = P \times r \times (1 + r)^n / ((1 + r)^n - 1) \]

$
%
periods

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the PRB Calculator?

The PRB (Principal, Rate, Periods) calculator computes the periodic payment amount for a loan or annuity based on the principal amount, interest rate, and number of periods.

2. How Does the Calculator Work?

The calculator uses the PRB equation:

\[ Result = P \times r \times (1 + r)^n / ((1 + r)^n - 1) \]

Where:

Explanation: The equation calculates the fixed payment amount required to pay off a loan over a specified number of periods at a given interest rate.

3. Importance of PRB Calculation

Details: This calculation is essential for financial planning, loan amortization, and understanding the cost of borrowing money over time.

4. Using the Calculator

Tips: Enter principal in dollars, rate as a percentage (e.g., 5 for 5%), and number of periods. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is this formula commonly used for?
A: It's most commonly used to calculate mortgage payments, car loan payments, or any other fixed payment loan scenario.

Q2: Is the rate annual or periodic?
A: The rate should be the periodic rate. For monthly payments with an annual rate, divide the annual rate by 12.

Q3: What if I want to calculate total interest paid?
A: Multiply the payment amount by number of periods, then subtract the principal amount.

Q4: Does this work for investments too?
A: Yes, it can calculate regular withdrawals from an investment account while maintaining the principal.

Q5: What about additional fees or changing rates?
A: This formula doesn't account for additional fees or variable interest rates - it assumes a fixed rate and no extra charges.

Calculator With PRB© - All Rights Reserved 2025