T/08Tool
Loan EMI
Work out the monthly payment (EMI) on any loan, how much interest you pay in total, and whether paying it off beats investing.
Your loan
$445
You borrow $20,000 and pay back $26,693. The extra $6,693 is the cost of borrowing.
- $445
- $6.7K
- $26.7K
- 33%
Where your payments go
01Method
How this works.
Monthly payment: P × m ÷ (1 − (1 + m)^−n), where P is the loan, m the yearly rate ÷ 12, and n the number of months. Each month, interest is charged on what is still owed and the rest of the payment reduces the loan.
What it assumes
- A fixed interest rate for the whole loan. Floating-rate loans change when rates change.
- No processing fees, insurance, or prepayment charges, which raise the real cost.
- The investing comparison is a rule of thumb: a loan's rate is certain, investment returns are not.
Worked example
Borrow $20,000 at 12% a year for 5 years and the monthly payment is about $445. Over the loan you pay about $6,693 in interest on top of what you borrowed.
Borrow ₹10,00,000 at 12% a year for 5 years and the monthly payment is about ₹22,244. Over the loan you pay about ₹3,34,667 in interest on top of what you borrowed.
Learn the idea behind it
Terms used here: Interest, Principal, Opportunity cost.