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Pricing and the Greeks

  • Binomial Tree Pricing Model — Binomial tree valuation for European and American options — risk-neutral stepping, early exercise at each node, CRR parameters, and convergence to Black–Scholes–Merton. status: stable
  • Black–Scholes–Merton Model — Inputs and intuition of the BSM pricing model, what each assumption buys and costs, and where it breaks (skew, jumps). status: stable
  • Delta and Gamma — Delta as hedge rate, share equivalence, and ITM probability; gamma as convexity, its ITM/OTM behavior across IV, and the gamma–theta tension. status: stable
  • Greeks Weighting Across Products — Dollar delta/gamma/vega, conversion ratios for cross-product positions (SPY/SPX/IWM), beta weighting, and portfolio greeks as the risk dashboard. status: stable
  • Theta, Vega, and Rho — Time decay and its accelerating curve, implied-volatility sensitivity, and interest-rate sensitivity — when each greek matters. status: stable

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