Equated Monthly Instalment, total interest and total repayment on a reducing-balance loan.
EMI = P·r·(1+r)^n / ((1+r)^n − 1)
Frequently asked questions
What is an EMI?
EMI stands for Equated Monthly Instalment — the fixed amount you pay the lender every month until the loan is cleared. Each payment is the same size, but its split changes: early payments are mostly interest, later ones mostly principal.
What do the parts of the EMI formula mean?
P is the loan amount, r is the monthly interest rate (the annual rate divided by 12 and by 100 to make it a decimal), and n is the number of monthly payments. The formula spreads the principal plus all the interest evenly across n months.
Why is so much of the total an interest charge?
Interest is charged on the balance still owing, and at the start almost the whole loan is outstanding. On a long tenure the interest stacks up — which is exactly what the donut chart makes visible at a glance.
How do I read the donut chart?
The full ring is everything you will hand over across the life of the loan. One slice is the original amount you borrowed (the principal); the other slice is the interest the lender keeps. The bigger the interest slice, the more the loan costs you beyond what you borrowed.
Where is this used in real life?
Home loans — a $400,000 mortgage at 6% over 30 years has an EMI near $2,398. Car loans — $30,000 at 8% over 5 years is about $608 a month. Personal loans use the same maths. Comparing the total-interest slice across offers shows which loan is genuinely cheaper, not just which has the smaller monthly payment.