About this calculator
**Definition:** Loan calculator is used to calculate the monthly payment, total payment and total interest for an installment loan. Applicable to various types of installment loans such as home loans, car loans, and personal loans.
**Calculation formula (equal principal and interest):** Monthly payment = P × [r × (1+r)^n] ÷ [(1+r)^n - 1]
Among them: • P = Loan principal (total loan amount) • r = monthly interest rate (annual interest rate ÷ 12) • n = number of repayment months (loan period × 12)
**Calculation example:** • Loan amount: 1 million yuan • Annual interest rate: 4.5% • Loan term: 20 years • Monthly interest rate: 4.5% ÷ 12 = 0.375% • Number of repayment months: 20 × 12 = 240 months • Monthly payment: approximately 6,333 yuan • Total repayment: approximately 1.52 million yuan • Total interest: approximately NT$520,000
**Quick Answer:** The longer the loan term, the lower the monthly payment but the higher the total interest; the shorter the term, the higher the monthly payment but the lower the total interest.
**Application scenarios:** House purchase loans, car purchase loans, decoration loans, consumer loans, entrepreneurial loans, etc.
**Last updated:** April 2024
What it calculates
The loan calculator estimates monthly payment, total repayment, and total interest for fixed-rate loans such as mortgages, auto loans, and personal loans.
Formula
Monthly payment M = P * r(1 + r)^n / ((1 + r)^n - 1), where P is principal, r is monthly interest rate, and n is number of payments.
Inputs
- Loan principal.
- Annual interest rate.
- Loan term or number of payments.
- Optional down payment, fees, or extra payment values.
Example
| Principal | APR | Term | Note |
|---|---|---|---|
| 100000 | 6% | 30 years | Fixed monthly payment estimate |
| 20000 | 8% | 5 years | Common auto loan case |
| 5000 | 10% | 2 years | Short personal loan |
How to interpret the result
Monthly payment is the amount due each period. Total interest shows borrowing cost. Longer terms usually reduce monthly payment but increase total interest.
Common mistakes
- Convert annual rate to monthly rate.
- Do not ignore fees, insurance, and taxes.
- Calculator estimates are not lender quotes.
How to use
Using a loan calculator is easy. First enter the total loan amount (principal), for example, a home purchase loan of 1 million yuan. Then enter the annual interest rate, such as 4.5% (note that this is the annual interest rate, not the monthly interest rate). Next select the loan term, usually in years, such as 20 or 30 years.
After clicking the "Calculate" button, the system will immediately display the monthly repayment amount, total repayment amount and total interest expense. The monthly payment is a fixed amount you pay back each month, including principal and interest. The total payment is the sum of all monthly payments over the life of the loan, and the total interest is the cost you pay to borrow the money.
It is recommended to try different loan term and interest rate combinations, and compare the monthly payment pressure and total interest expenses of different options. The longer the loan term, the lower the monthly payment but the higher the total interest; the shorter the term, the higher the monthly payment but the lower the total interest. Choose the most suitable plan based on your repayment ability.
Main features
This loan calculator uses the standard equal principal and interest repayment method (fixed monthly payments), which is the most common repayment method used by banks. The calculations are precise and use the same compound interest formula as banks to ensure reliable results. Supports various types of loan calculations, including home loans, car loans, consumer loans and personal loans.
The interface is simple and intuitive, and calculations can be completed with three input boxes without complicated operations. The results are clearly displayed, showing monthly payments, total repayments and interest payments at the same time, making it easy to make a comprehensive assessment. It is completely free to use, no registration is required, no personal financial information is collected, and privacy is protected.
The calculation speed is fast and the results are displayed instantly. Supports any loan amount and term, from small loans to large home loans. It is adaptable to various devices and can be used smoothly on mobile phones, tablets and computers, and loan planning can be carried out anytime and anywhere.
Use cases
Loan calculators are widely used in personal financial planning and major spending decisions. Homebuyers use it to evaluate different home loan options, compare the difference in monthly payments between 20-year and 30-year loans, and choose a repayment plan that matches their income level. Car buyers calculate the monthly car loan payment to determine whether it is within their budget and avoid over-indebtedness.
Entrepreneurs and small business owners use loan calculators to evaluate business loan costs, plan cash flow and repayment capabilities. Applicants for personal consumption loans can understand the true cost of borrowing through calculations and avoid falling into financial difficulties due to underestimating interest rates. Financial advisors and bank staff use it to provide loan advice to clients and quickly demonstrate how different options compare.
During loan negotiations, borrowers can calculate the monthly payments at different interest rates in advance and evaluate whether the bank's offer is reasonable. When making an early repayment decision, calculations can be used to understand the remaining interest and determine whether it is worth paying off the loan early. Overall, a loan calculator is an essential tool for making smart lending decisions.