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The Early Exercise Boundary behavior at expiry for American style of derivative
The Early Exercise Boundary behavior American style derivative
2011/1/4
In this paper, we present a new method for calculating the limit of early exercise boundary at expiry. We price American style of general derivative using a formula expressed as a sum of the value of ...
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...
Comparison of numerical and analytical approximations of the early exercise boundary of the American put option
Comparison of numerical and analytical approximations early exercise boundary American put option
2010/10/18
In this paper we present qualitative and quantitative comparison of various analytical and numerical approximation methods for calculating a position of the early exercise boundary of the American pu...
Regularity of the Exercise Boundary for American Put Options on Assets with Discrete Dividends
Exercise Boundary Assets Discrete Dividends
2010/11/3
We analyze the regularity of the optimal exercise boundary for the American Put option
when the underlying asset pays a discrete dividend at a known time td during the lifetime of
the option. The ex...
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 ...
Transformation methods for evaluating approximations to the optimal exercise boundary for linear and nonlinear Black-Scholes equations
Transformation methods evaluating approximations optimal exercise boundary linear nonlinear Black-Scholes equations
2010/12/17
The purpose of this survey chapter is to present a transformation technique that can be used in analysis and numerical computation of the early exercise boundary for an American style of vanilla opti...