Options pricing, stochastic volatility, fixed income, portfolio theory — rigorous financial mathematics with Indian market context throughout. Every rupee sign is earned by working through the derivations.
From Black-Scholes to Heston. GBM dynamics, PDE derivation, closed-form solutions, the Greeks, implied volatility, stochastic volatility, characteristic functions, Fourier pricing, and full calibration. NIFTY and Bank Nifty throughout.
Bond pricing, yield curves, duration, convexity, Vasicek and Hull-White interest rate models — the other half of every derivatives desk.
Mean-variance optimisation, CAPM, Fama-French factor models, risk parity — rigorous treatment of how capital gets allocated across Indian equities.
Order books, bid-ask spreads, price impact, execution algorithms — what actually happens inside NSE every millisecond, from a mathematical perspective.