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Derivatives Pricing and Options Analytics

Complete options pricing suite implementing 4 models and full Greeks from scratch.

Pricing Models

  • Black-Scholes (analytical solution)
  • Binomial Tree CRR (European and American options)
  • Monte Carlo simulation with confidence intervals
  • Asian option pricing (path-dependent)

Greeks Calculator

Delta, Gamma, Theta, Vega, Rho — all computed analytically from Black-Scholes

Visualizations

  • Option payoff diagrams with P&L
  • Monte Carlo path simulations
  • Delta surface across strike and time

Tech Stack

Python, NumPy, SciPy, matplotlib

About

Derivatives pricing from scratch — Black-Scholes, Binomial CRR, Monte Carlo (100K paths), Asian options. Put-Call Parity verified to 0.000000.

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