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Financial mathematics
- Interest rate derivatives
- Libor market model
- Stochastic volatility models
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Numerical analysis
- Greeks - Monte-Carlo simulation
- Numeric of stochastic differential equations
- Positivity preserving numerical integration schemes
- Numerical integration methods for stochastic volatility models
- Stable and efficient implementation of semi-analytical stochastic volatility models, e.g. Heston
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Stochastic analysis
- Application of Malliavin calculus to finance
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