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On a numerical approximation scheme for construction of the early exercise boundary for a class of nonlinear Black-Scholes equations
numerical approximation construction nonlinear Black-Scholes equations
2010/10/21
The purpose of this paper is to construct the early exercise boundary for a class of nonlinear Black--Scholes equations with a nonlinear volatility depending on the option price. We review a method h...
Analytical and Numerical Approaches to Pricing the Path-Dependent Options with Stochastic Volatility
Analytical Numerical Pricing Path-Dependent Options Stochastic Volatility
2010/10/21
In this paper new analytical and numerical approaches to valuating path-dependent options of European type have been developed. The model of stochastic volatility as a basic model has been chosen. Fo...
A Penalty Method for the Numerical Solution of Hamilton-Jacobi-Bellman (HJB) Equations in Finance
HJB Equation Numerical Solution Penalty Method
2010/10/21
We present a simple and easy to implement method for the numerical solution of a rather general class of Hamilton-Jacobi-Bellman (HJB) equations. In many cases, the considered problems have only a vi...
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...
Early exercise boundary for American type of floating strike Asian option and its numerical approximation
option pricing American-style of Asian options early exercise bound-ary limiting behavior close to expiry
2010/11/3
In this paper we generalize and analyze the model for pricing American-style Asian options due to (Hansen and Jørgensen 2000) by including a continuous divi-dend rate q and a general method of ...