SI / 10Derivatives & risk2024

Exotic Options Pricing & Volatility Modelling

Derivatives research · Barrier, Lookback & Asian options

Exotic derivativesVolatility surfacesMonte Carlo · RLBarrier · Lookback · AsianBlack-Scholes critique
Exotic Options Pricing & Volatility Modelling

Analytical proposal for pricing exotic and vanilla derivatives under stochastic volatility — combining real-time volatility surface calculation (LSTM + Gradient Boosting), Monte Carlo simulation + neural networks for path-dependent pricing, reinforcement learning for Barrier knock-in / knock-out triggers, and Quantum Approximate Optimization (QAOA) for high-dimensional exotic pricing problems. Critiqued Black-Scholes assumptions, mapped the $500T derivatives market context, and sized the cost-benefit case to a $4.8M revenue projection.

Barrier options

RL predicts knock-in / knock-out triggers and optimises hedging response.

Lookback options

Neural networks evaluate full historical price paths to maximise payoff.

Asian options

Deep learning models estimate average-price forecasts under path-dependence.

Volatility surface

Sub-second updates targeting <1% pricing error margin.

Quantum overlay

QAOA applied to high-dimensional exotic pricing — first-class venture differentiator.

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