Online Calculators FreeReference Manual

Loan & Investing Calculator

Twenty-seven lending and investing formulas behind one dropdown: loan payments and comparison, EMI, interest-only and balloon loans, credit-card payoff, refinance break-even, home affordability, annuity future/present value and payouts, CD maturity, the rule of 72, real return, CAGR, NPV, IRR, payback, and dividend, P/E, and bond yields — each result shows the formula with your numbers substituted in.

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One dropdown, the whole lending desk

Pick the question you are asking — "what is the payment?", "which loan wins?", "when does this card die?", "what are these flows worth?" — and the form adapts to exactly the inputs that question needs. Every member uses the textbook formula and prints it back with your numbers substituted, so you can check the arithmetic by hand.

The conventions this page uses

All payments are end-of-period (ordinary annuity — the first payment comes one period after the money is received). Monthly rates are r = APR ÷ 12, with no day-count fine print. Taxes, insurance, and fees are ignored unless a field explicitly asks for them. For NPV, IRR, and payback, the first flow in the list is time 0 — the investment itself — and later flows land at the end of each period after it.

Worked example

  1. A $200,000 loan at 6% APR for 360 months.
  2. Monthly rate r = 6% ÷ 12 = 0.005; n = 360.
  3. PMT = 200,000 × 0.005 ÷ (1 − 1.005^−360) = $1,199.10 per month.
  4. Total repaid ≈ $431,677 — of which $231,677 is interest.

How to use it

  1. Choose the question from the "Which question?" dropdown.
  2. Fill the fields it shows — rates go in as percents (6, not 0.06), cash-flow lists as comma-separated numbers.
  3. Read the headline number, the row breakdown, and the substituted formula beneath the board.
  4. Try a preset or edit the numbers to compare scenarios; the share link keeps your member and values.

Frequently asked questions

What is the loan payment formula?

PMT = P·r/(1 − (1+r)^−n), where P is the principal, r the periodic rate (APR ÷ 12 for monthly), and n the number of payments. At a 0% rate it collapses to P ÷ n. The result board prints the formula with your numbers filled in.

How is EMI different from a regular loan payment?

It is the same formula — EMI just writes it as P·r·(1+r)^n / ((1+r)^n − 1), which is algebraically identical. The EMI member also shows how the first installment splits between interest and principal.

Why did the credit card tool refuse my payment?

If the payment does not exceed the first month’s interest (balance × APR ÷ 12), the balance grows instead of shrinking — it will never reach zero. The error tells you the minimum viable payment; pay more than that.

What is the difference between NPV and IRR?

NPV discounts your flows at a rate you choose and reports dollars created or destroyed; IRR solves for the single rate where NPV is exactly zero. NPV answers "how much?", IRR answers "what percent?" — both members accept the same comma-separated flow list.

How does the 28/36 affordability rule work?

Housing costs are capped at 28% of gross monthly income, and total debt payments (housing plus everything else) at 36%. The tool takes the tighter of the two caps, solves backwards through the payment formula for the loan it supports, and adds your down payment to get the maximum price.

Are taxes and fees included?

No — by design. Results are pure formula outputs; taxes, insurance, HOA, and closing costs appear only where a member has an explicit field for them (auto-loan fees, refinance closing costs). For a full PITI estimate use the mortgage calculator in the related tools.