Black-Scholes Option Pricer

European call/put pricing with Greeks

Quick Answer

Black-Scholes Option Pricer: European call/put pricing with Greeks. Black-Scholes Option Pricer uses standard finance formulas to compute accurate results instantly.

Spot price S

Strike K

Days to expiry

Risk-free rate %

Implied vol %

Theoretical price

2.6542

Intrinsic 0.0000 + time value 2.6542 · ATM

Delta0.5484

Gamma0.0638

Vega /1%0.0983

Theta /day-0.0157

Rho /1%0.0611

Steps

1d1 = [ln(S/K) + (r+σ²/2)T] / (σ√T) = 0.1217
2d2 = d1 − σ√T = -0.0025
3C = S·N(d1) − K·e^(−rT)·N(d2) = 2.6542
4Put-call parity residual: 0.00e+0 (≈0 validates)

Greeks meaning

DeltaPrice change per 1 unit spot move; ≈ ITM probability for calls

GammaDelta sensitivity; peaks at ATM near expiry

VegaPrice change per 1% IV change; long options gain when IV rises

ThetaDaily time decay; accelerates into expiry

RhoPrice change per 1% rate change; least impactful for short dated

💡 BS assumes log-normal returns, constant vol and no dividends — real markets have vol smiles and fat tails, so treat output as a baseline. For American options or dividend payers, use binomial models. Theta decay is the option buyer's enemy: a 30-day ATM option loses ~30% of its time value in the final week alone.

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How to Use

Enter amounts and terms: fill principal, rate and period in the Black-Scholes Option Pricer (defaults work for a quick try).
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Key Points

Black-Scholes Option Pricer is a free online finance tool — open and use, no sign-up.
All calculations run locally in your browser; your data never leaves the device.
Key capability: European call/put pricing with Greeks.
Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Black-Scholes Option Pricer formula

Black-Scholes Option Pricer uses standard finance formulas to compute accurate results instantly.

FAQ

How do I use the Black-Scholes Option Pricer?

Open the page and fill in the input fields — results update automatically. European call/put pricing with Greeks.

Are the results accurate?

Yes. Standard financial formulas and published rate data are used. For official figures, consult your financial institution.

Is it free? Do I need to sign up?

Completely free. No registration, login or download required.

Can I use the results for financial decisions?

Results are for reference. Consult a licensed financial advisor before major decisions.

Does it work on mobile?

Yes. Fully responsive on phones, tablets and desktops.

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Source & Updates

Based on published rate tables and standard financial formulas. Last updated: 2025-07

Authoritative sources:

Last updated: 2026-08-04

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Cite this page: YiJianSuan. Black-Scholes Option Pricer[EB/OL]. https://www.yijiansuan.com/en/c/finance/black-scholes

Results provided by this tool are for reference only and do not constitute professional advice.