Excel Formula for Remaining Balance on a Loan
1. Understanding the Loan Parameters
Before you start with the formula, you need to know the following details:
- Principal Amount: The original amount of the loan.
- Interest Rate: The annual interest rate of the loan.
- Number of Payments: The total number of payments to be made.
- Payments Made: The number of payments already made.
- Payment Amount: The amount of each payment.
2. Loan Payment Formula
To calculate the monthly payment (PMT), use the following formula in Excel:
scss=PMT(interest_rate/12, total_payments, -loan_amount)
Here, interest_rate
is the annual interest rate, total_payments
is the total number of payments, and loan_amount
is the principal amount of the loan. This formula gives you the amount of each monthly payment.
3. Remaining Balance Formula
Once you know the payment amount, you can calculate the remaining balance. The formula for the remaining balance after a certain number of payments is:
scss=FV(interest_rate/12, payments_made, -payment_amount, -loan_amount)
In this formula:
interest_rate/12
is the monthly interest rate.payments_made
is the number of payments made so far.payment_amount
is the amount of each payment.loan_amount
is the original loan amount.
Example Calculation
Let’s go through an example to make this clear. Assume you have a $10,000 loan at an annual interest rate of 5%, with a term of 24 months. You want to calculate the remaining balance after 12 months of payments.
Calculate Monthly Payment
- Formula:
=PMT(5%/12, 24, -10000)
- Result: $438.71 (approx)
- Formula:
Calculate Remaining Balance
- Formula:
=FV(5%/12, 12, -438.71, -10000)
- Result: $4,589.42 (approx)
- Formula:
4. Using Excel to Automate the Calculation
To make it easier, you can set up an Excel spreadsheet with the following columns:
- A: Principal Amount
- B: Annual Interest Rate
- C: Total Payments
- D: Payments Made
- E: Payment Amount
- F: Remaining Balance
Fill in the loan details and use the PMT and FV formulas in their respective cells to automatically calculate the monthly payment and the remaining balance.
5. Visualizing the Data
To get a better understanding of how the loan balance decreases over time, you can create a chart. Plot the number of payments against the remaining balance to visualize how it declines as more payments are made.
By following these steps and using the formulas provided, you can effectively track and manage your loan balance using Excel.
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