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Financial mathematics
Computational finance
Derivatives pricing
Risk and portfolio management
Stochastic control and optimal investment
Stochastic volatility models and jump processes
Systemic risk and financial stability
Risk-free assets
Risky assets
Risk adjusted probability distributions
Asset price dynamics and binomial trees
Black-scholes dynamics
Binomial approximation
The binomial model
Discrete time market models
Option pricing
Financial engineering
Variable interest rates
Stochastic interest rates
Financial mathematics and its applications