EMI Calculator — Equated Monthly Instalment
Compute the fixed monthly instalment for any loan and visualise how the outstanding balance shrinks month by month over the full tenure.
%
個月
Fixed equated monthly instalment — principal + interest
1,198,055.86
total payable本金
41.7%
總利息
58.3%
- 1
Monthly interest rate
r = 10.5% ÷ 12 ÷ 100 = 0.00875 - 2
Number of payments
n = 240 months = 240 - 3
Growth factor
(1 + r)ⁿ = (1 + 0.00875)^240 = 8.0919Compound growth over the full tenure. - 4
Monthly EMI
500,000 × 0.00875 × 8.0919 ÷ (8.0919 − 1) = 4,991.90
此計算機如何運作？
EMI = P × r(1+r)ⁿ / [(1+r)ⁿ − 1], where r is the monthly rate (annual ÷ 12 ÷ 100) and n is months. The outstanding balance falls slowly at first — most early payments are interest — and faster toward the end. Total interest = EMI × n − principal.
公式
How this is calculated
An EMI (Equated Monthly Instalment) is the fixed amount you pay every month to fully retire a loan by the end of its tenure. The amount covers the interest on the outstanding balance and a portion of the principal. The calculator converts the annual interest rate to a monthly rate r = annual rate ÷ 12 ÷ 100, then applies the standard reducing-balance formula: EMI = P·r(1+r)ⁿ / ((1+r)ⁿ − 1). A zero interest rate is handled as P ÷ n to avoid dividing by zero.
In the early months most of each EMI pays interest because the outstanding balance is large; as the principal falls, the interest component shrinks and more of each instalment repays principal — the reducing-balance effect. The balance curve makes this visible: it starts at the full loan amount and curves down to zero, slowly at first and then more steeply. The calculator also finds the month when 50 % of the principal has been cleared; for long-tenure loans this is well past the midpoint in time.
The calculator assumes a fixed rate for the entire tenure, equal month lengths, no prepayments and no processing fees or insurance. Real lender figures may differ slightly due to rounding conventions, day-count adjustments and loan origination fees.
常見問題
An EMI (Equated Monthly Instalment) is a fixed monthly payment that covers both the interest on the remaining loan balance and a portion of the principal. The split between interest and principal changes each month, but the total instalment stays constant for the life of the loan.
In the early years most of the EMI is interest on the full outstanding balance. The principal component accelerates only as the balance falls — a feature of all reducing-balance loans that the outstanding balance curve makes clear.
A shorter tenure dramatically reduces total interest (though it raises the monthly EMI). Making one-time principal prepayments also cuts future interest, since subsequent EMIs are charged on a lower balance.
也稱為
TG we-Calculate Editorial Team. (2026). EMI Calculator — Equated Monthly Instalment [Online calculator]. TG we-Calculate. https://we-calculate.com/zh-tw/calculator/emi-calculator
TG we-Calculate Editorial Team. "EMI Calculator — Equated Monthly Instalment." TG we-Calculate. 2026. https://we-calculate.com/zh-tw/calculator/emi-calculator.
TG we-Calculate Editorial Team, "EMI Calculator — Equated Monthly Instalment," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/zh-tw/calculator/emi-calculator
@misc{wecalculate_emi_calculator, title = {EMI Calculator — Equated Monthly Instalment}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/zh-tw/calculator/emi-calculator}}, year = {2026}, note = {TG we-Calculate} }
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