Personal Loan Repayment Calculator

What is a Personal Loan Repayment Calculator?

A Personal Loan Repayment Calculator is a financial tool designed to help borrowers estimate their monthly payments on a personal loan. It takes into account the loan amount, interest rate, and loan term to provide an accurate estimate of how much you'll need to pay each month to fully repay the loan by the end of its term. This calculator is invaluable for financial planning and understanding the total cost of borrowing.

The Personal Loan Repayment Formula

The formula used to calculate the monthly payment on a personal loan is:

$$P=L\frac{r(1+r{)}^n}{(1+r{)}^n-1}$$

Where:

• $P$ = Monthly payment
• $L$ = Loan amount
• $r$ = Monthly interest rate (annual rate divided by 12)
• $n$ = Total number of months in the loan term

Step-by-Step Personal Loan Repayment Calculation

1. Convert the annual interest rate to a monthly rate: $$r=\frac{\text{Annual Rate}}{12}$$
2. Determine the total number of monthly payments: $$n=\text{Loan Term in Years}\times 12$$
3. Apply the loan payment formula: $$P=L\frac{r(1+r{)}^n}{(1+r{)}^n-1}$$
4. Calculate total repayment: $$\text{Total Repayment}=P\times n$$
5. Calculate total interest: $$\text{Total Interest}=\text{Total Repayment}-L$$

Example Calculation

Let's calculate the monthly payment for a $10,000 personal loan at 8% annual interest for 3 years:

1. $r=\frac{8\mathrm{\%}}{12}=0.6667\mathrm{\%}$ per month
2. $n=3\times 12=36$ months
3. $P=10000\times \frac{0.006667(1+0.006667{)}^{36}}{(1+0.006667{)}^{36}-1}=\$313.36$
4. Total Repayment = $313.36 × 36 = $11,280.96
5. Total Interest = $11,280.96 - $10,000 = $1,280.96

Visual Representation

This chart shows the proportion of principal ($10,000) to total interest ($1,280.96) for the example personal loan.

Benefits of Using a Personal Loan Repayment Calculator

• Financial Planning: Helps you budget for loan payments and understand the long-term financial commitment.
• Comparison Shopping: Allows you to compare different loan offers by adjusting terms and rates.
• Understanding Total Costs: Clearly shows the total amount you'll pay over the life of the loan, including interest.
• Decision Making: Aids in deciding whether taking out a personal loan is the right financial move for your situation.

Remember, while this calculator provides a good estimate, actual loan terms may vary. Always consult with financial professionals and carefully review loan agreements before committing to a personal loan.