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Lecture 6: Functional limit theorems for financial markets with long-range dependence

* General conditions of weak convergence - Convergence of sums - Multiplicative scheme* Monotonicity along the diagonal of a triangular matrix in the Cholesky decomposition of a positive definite…

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Lecture 4: Application of Malliavin calculus to exact and approximate option pricing under stochastic volatility

Introduction Model of asset price and payoff function: additional assumptions, auxiliary properties Elements of Malliavin calculus and application to option pricing The rate of convergence of…

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Lectures 70-71: Computationally simple trees

Building computationally simple trees: method of Nelson-Rawaswamy. Pricing of an option written on an exponential Ornstein-Uhlenbeck process: non-parallel and parallel MATLAB…

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Lecture 3: binomial approximation

Binomial random walk. Convergence in distribution to a Brownian motion

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