FINAL TOOLBOX
03 // Bidirectional STEM Calculators // FINANCEEMI = P × i × (1 + i)^n / ((1 + i)^n - 1)

Loan EMI & Monthly Payment Calculator

Equated Monthly Installment (EMI) determines the fixed monthly payment required to fully amortize a loan principal P over n months at periodic rate i = r / 1200.

EMI = P × i × (1 + i)^n / ((1 + i)^n - 1)
Pick which value you want to calculate (or type into any field):Solving for: EMI — Monthly EMI Payment
Calculated

Fixed monthly principal plus interest payment

2050,000.00

Total amount borrowed

5002,000,000.00

Nominal annual percentage rate (APR)

0.536
%

Total number of monthly payments

6360
Calculated Result · Monthly EMI Payment (EMI)
483.32$
Converted units:

Step-by-Step Calculation

01Canonical Law: EMI = P × i × (1 + i)^n / ((1 + i)^n - 1)
02Given Inputs (Base Units): P = 25,000 $, r (%) = 6, n = 60 mo
03Solve for EMI (Monthly EMI Payment): EMI = 483.32 $

Equated Monthly Installment (EMI) determines the fixed monthly payment required to fully amortize a loan principal P over n months at periodic rate i = r / 1200.

Real-World Reference Values

Prime Auto Loan (60 mo)5.2% – 7.1% APR

Tier-1 credit new vehicle financing

Unsecured Personal Term Loan9.5% – 16.0% APR

Typical 36- to 60-month installment range

SBA 7(a) Equipment Note8.5% – 11.2% APR

Commercial equipment amortization benchmark

20-Row Comparison Table

Monthly EMI Payment (EMI) · Loan Principal (P)

Loan EMI & Monthly Payment Calculator — Loan Principal → Monthly EMI Payment
#Loan Principal ($)Monthly EMI Payment ($)Δ %
01500 $9.6664 $-98.00%
0216,259.54 $314.3424 $-34.96%
0325,000.00 $Current483.32 $0.00%
0447,778.62 $923.6945 $+91.11%
0563,538.16 $1,228.37 $+154.15%
0679,297.70 $1,533.05 $+217.19%
0795,057.24 $1,837.72 $+280.23%
08110,816.78 $2,142.40 $+343.27%
09126,576.32 $2,447.07 $+406.31%
10142,335.86 $2,751.75 $+469.34%
11158,095.39 $3,056.43 $+532.38%
12173,854.93 $3,361.10 $+595.42%
13189,614.47 $3,665.78 $+658.46%
14205,374.01 $3,970.46 $+721.50%
15221,133.55 $4,275.13 $+784.53%
16236,893.09 $4,579.81 $+847.57%
17252,652.63 $4,884.48 $+910.61%
18268,412.17 $5,189.16 $+973.65%
19284,171.71 $5,493.84 $+1036.69%
20299,931.25 $5,798.51 $+1099.72%
Was this tool helpful?

Frequently Asked Questions

How do I calculate how much loan principal I can afford for a fixed monthly budget?+

Click SOLVE FOR on P (Loan Principal) and enter your target monthly EMI, interest rate, and tenure.

How does the calculator solve for the interest rate r?+

Because the annuity equation cannot be isolated algebraically for i, the engine executes an 80-iteration high-precision bisection solver.

What happens if my monthly payment is less than P × i?+

If EMI is less than or equal to the monthly interest charge P × (r / 1200), the principal never amortizes (negative amortization).