How do I calculate loan EMI (Equated Monthly Installment)?

EMI = P × r × (1+r)^n / ((1+r)^n - 1), where P is principal loan amount, r is monthly interest rate (annual rate/12/100), and n is loan tenure in months. For example, a ₹10,00,000 loan at 8% annual for 20 years: r = 8/12/100 = 0.00667, n = 240, EMI = ₹8,364/month.

How do you calculate SIP returns for mutual funds?

SIP future value FV = P × [(1+r)^n - 1] / r × (1+r), where P is monthly investment, r is monthly return rate (annual rate/12), and n is number of months. For ₹10,000/month SIP at 12% annual for 15 years: FV = ₹50.46 lakhs on total invested ₹18 lakhs — wealth multiple of 2.8×.

What is the compound interest formula?

Compound interest: A = P × (1 + r/n)^(nt), where A is final amount, P is principal, r is annual interest rate (decimal), n is compounding periods per year (daily=365, monthly=12, quarterly=4, annually=1), and t is time in years. Compound interest earned = A - P.

How do I calculate the FIRE (Financial Independence Retire Early) number?

FIRE number = Annual expenses × 25 (using the 4% Safe Withdrawal Rate from the Trinity Study). For example, if you need $60,000/year: FIRE number = $60,000 × 25 = $1,500,000. Years to FIRE depends on savings rate — at 50% savings rate, FIRE in approximately 17 years from a zero-base.

How do you calculate ROI and CAGR?

ROI (%) = (Net Profit / Cost of Investment) × 100 = ((Final Value - Initial Value) / Initial Value) × 100. CAGR (Compound Annual Growth Rate) = (Final Value / Initial Value)^(1/years) - 1. For example, $10,000 growing to $15,000 in 5 years: CAGR = (15000/10000)^(1/5) - 1 = 8.45%.

💰 Smart Finance

Financial Calculator

Plan your financial future — Loan EMI, Compound Interest, Savings Goal, Retirement Planner, Tip & Split, and Discount Calculator with interactive charts.

6 Calculators

📊 Interactive Charts

📄 PDF Reports

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Loan / EMI

Monthly EMI, total interest & payment schedule

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Compound Interest

Future value with compounding frequency

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Savings Goal

Monthly savings needed to reach your target

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Retirement

Retirement fund projection & FIRE number

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Tip & Split

Bill splitting with tip calculator

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Discount

Sale price after discount & tax

Loan Amount

Interest Rate (% p.a.)

Loan Term (years)

Monthly EMI—

Total Interest—

Total Payment—

Principal Amount

Annual Rate (%)

Time (years)

Compounding

Future Value—

Total Interest—

Savings Goal

Annual Return (%)

Time (years)

Monthly Savings Needed—

Total Contributed—

Interest Earned—

Current Age

Retirement Age

Current Savings

Monthly Contribution

Expected Return (%)

Retirement Fund—

Total Contributed—

Interest Earned—

Bill Amount

Tip Percentage (%)

Split Between

Tip Amount—

Total—

Per Person—

Original Price

Discount (%)

Tax Rate (%)

You Save—

After Discount—

Final (w/ Tax)—

About Our Financial Calculators

The financial calculators on AI Calculator solve the time-value-of-money math that most household and small-business decisions ultimately depend on: monthly loan payments and total interest cost, compound-interest growth on savings, tip splitting at restaurants, and discount calculation at the till. Every formula is the standard textbook one (no proprietary or undisclosed assumptions), and each calculator displays the formula it is using next to the inputs so you can sanity-check the result. These tools are educational and informational; they are not regulated financial advice. Specific decisions about loans, investments, or tax planning should be discussed with a qualified financial adviser or accountant who knows your full personal circumstances.

Calculators in This Financial Suite

Loan EMI Calculator — equated monthly instalment (EMI) for home loans, auto loans, personal loans, and student loans, with full amortisation schedule.

Compound Interest Calculator — future value of a lump sum or recurring contribution under daily, monthly, quarterly, or annual compounding.

Discount Calculator — sale price after a percentage off; reverse mode finds the original price from a discounted price.

Tip Calculator — tip amount and per-person split for shared bills.

The EMI and Compound-Interest Formulas

The EMI calculator uses the standard amortisation formula: EMI = P × r × (1+r)ⁿ / ((1+r)ⁿ − 1), where P is the principal, r is the monthly interest rate (annual rate / 12), and n is the loan tenure in months. So a $200,000 home loan at 7% annual for 30 years has r = 0.07/12 = 0.005833, n = 360, and EMI = 200,000 × 0.005833 × (1.005833)³⁶⁰ / ((1.005833)³⁶⁰ − 1) = $1,330.60 per month. Total interest over the life of the loan = 1,330.60 × 360 − 200,000 = $279,016. The amortisation schedule shows the principal/interest split for each payment — in early years almost all the payment is interest; the principal-heavy years come later.

Compound interest follows FV = PV × (1 + r/n)^nt for a lump-sum investment, or the future-value-of-annuity formula for recurring contributions. A $10,000 deposit at 6% compounded monthly for 25 years grows to 10,000 × (1.005)³⁰⁰ = $44,650. The same $10,000 plus $200/month contributions grows to about $182,000 in 25 years — the second number shows just how much the recurring part dominates over time.

When These Calculators Help

The EMI calculator is most useful when comparing loan offers from different lenders — sometimes a lower interest rate with higher fees works out worse than a slightly higher rate with no fees, and EMI plus total-cost figures make the comparison easy. The compound-interest calculator is the workhorse for retirement planning — it makes the cost of waiting visible. (Starting at 25 vs 35 with the same monthly contribution and same rate roughly doubles your terminal balance.) The discount calculator handles the “was/now” pricing common in retail and the reverse calculation when you want to know what the original price was before a percentage cut. The tip calculator handles split bills, which gets surprisingly tricky when service is included on some lines and not others.

Frequently Asked Questions

Does the EMI calculator handle pre-payments?
The basic mode does not. For pre-payment scenarios (paying down principal early to reduce total interest), recompute EMI with the new reduced principal and the remaining tenure — or use the bank’s prepayment calculator if available.

Does the compound-interest calculator account for tax?
No. It outputs the gross compounded value. To get net of tax, apply your jurisdiction’s rate to the interest portion (FV − total contributions). For tax-advantaged accounts (Roth IRA, 401k, ISA, NPS), the gross figure is closer to the actual outcome.

Why does the EMI for the same principal and rate vary across lenders?
Because the published rate may not match the effective rate. Processing fees, insurance bundling, and floating vs fixed all change the effective rate. Compute the EMI from the contractual interest rate, then add fees to the principal as a sanity check.

Are the calculators good enough for tax filing or loan paperwork?
For your own planning — yes. For documents you submit to a bank or tax authority — use the lender’s/regulator’s figures, since rounding conventions and fee inclusions vary.

Disclaimer: These calculators provide informational estimates only and are not regulated financial advice. Specific decisions about loans, investments, taxes, or insurance should be discussed with a qualified financial adviser, accountant, or licensed mortgage broker who knows your full personal circumstances.