Black–Scholes Option Calculator
Estimate a European call or put price with the dividend-free Black–Scholes model.
Description
Estimate a European call or put price with the dividend-free Black-Scholes model.
Black-Scholes Option Calculator: Estimate a European call or put price with the dividend-free Black-Scholes model.
When to use Black-Scholes Option
Use this financial calculation for a transparent scenario, ratio, valuation, pricing, or cash-flow estimate when all amounts, dates, rates, and compounding conventions are defined consistently.
- Spot price
- Required number input.
- Strike price
- Required number input.
- Years to expiration (year)
- Required number input.
- Risk-free rate
- Required number input.
- Volatility
- Required number input.
- Option type
- Required string input.
How Black-Scholes Option works
Estimate a European call or put price with the dividend-free Black-Scholes model. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1
- Option value
- The resulting option value returned as a number.
Limitations and assumptions
- Option values depend on contract terms and model assumptions for volatility, rates, dividends, exercise, barriers, monitoring, discretization, and underlying dynamics. Black–Scholes and small trees can misprice early exercise, jumps, smiles, path dependence, and illiquid contracts.
- Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.
Alternative or Complementary approaches
Test multiple scenarios, reconcile rates and cash-flow dates, retain full precision, and verify contractual, tax, market, and accounting inputs with current primary documents or qualified advice.
References
-
Option (finance) — Wikipedia contributors
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