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Numerical methods for the quadratic hedging problem in Markov models with jumps
Quadratic hedging Hamilton-Jacobi-Bellman equation Markov jump processes Par-tial integro-di erential equation Holder spaces electricity markets discretization schemes for PIDE.
2012/9/14
We develop algorithms for the numerical computation of the quadratic hedging strategy in incomplete markets modeled by pure jump Markov process. Using the Hamilton-Jacobi-Bellman approach, the value f...
Comparison of Two Numerical Methods for Computation of American Type of the Floating Strike Asian Option
Comparison Two Numerical Methods American Type of the Floating Strike Asian Option
2011/7/4
We present a numerical approach for solving the free bound-
ary problem for the Black-Scholes equation for pricing American style
of floating strike Asian options. A fixed domain transformation of t...
Numerical methods for optimal insurance demand under marked point processes shocks
Optimal insurance stochastic control duality dynamic programming principle
2010/10/21
This paper deals with numerical solutions of maximizing expected utility from terminal wealth under a non-bankruptcy constraint. The wealth process is subject to shocks produced by a general marked p...
The aim of this work is to provide fast and accurate approximation schemes for the Monte-Carlo pricing of derivatives in the L\'evy LIBOR model of Eberlein and \"Ozkan (2005). Standard methods can be...
Numerical methods for an optimal order execution problem
Optimal liquidation Impulse control problem Quasi-variational inequality
2010/10/20
This paper deals with numerical solutions to an impulse control problem arising from optimal portfolio liquidation with bid-ask spread and market price impact penalizing speedy execution trades. The c...