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Black-Scholes option pricing model values European calls/puts using stock price, strike, volatility, time, and rates.

Trin-for-trin guide

  1. 1Input underlying price, strike, volatility, time to expiration, risk-free rate
  2. 2Apply Black-Scholes formula for call/put
  3. 3Results show theoretical option value

Løste eksempler

Input
Call: stock $100, strike $100, volatility 25%, 1 year, 5% rate
Resultat
Call ≈ $10.45 (reasonable premium)
Widely used in markets

Almindelige fejl at undgå

  • Using historical instead of implied volatility
  • Assuming constant volatility (varies)

Ofte stillede spørgsmål

Does Black-Scholes match real prices?

Approximately; volatility smile shows discrepancies, especially extreme strikes.

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