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A method for pricing American options using semi-infinite linear programming
optimal stopping excessive functions upper bounds semiinfinite linear programming
2011/3/30
We introduce a new approach for the numerical pricing of American options. The main idea is to choose a finite number of suitable excessive functions (randomly) and to find the smallest majorant of th...
On the Use of Policy Iteration as an Easy Way of Pricing American Options
Policy Iteration Pricing American Options
2011/1/4
When using finite differences or finite elements for American option pricing, one usually has to solve what is known as a discrete linear complementarity problem (LCP). Widely used methods for solving...
American Options Pricing under Stochastic Volatility: Approximation of the Early Exercise Surface and Monte Carlo Simulations
American Options Pricing Stochastic Volatility
2010/10/21
The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem ...
Error Estimates for Multinomial Approximations of American Options in Merton's Model
Error Estimates Multinomial Approximations American Options Merton's Model
2010/10/19
We derive error estimates for multinomial approximations of American options in a multidimensional jump--diffusion Merton's model. We assume that the payoffs are Markovian and satisfy Lipschitz type c...
Shortfall Risk Approximations for American Options in the multidimensional Black--Scholes Model
Shortfall Risk Approximations American Options multidimensional Black--Scholes Model
2010/10/19
We show that shortfall risks of American options in a sequence of multinomial approximations of the multidimensional Black--Scholes (BS) market converge to the corresponding quantities for similar Ame...
Quantized Interest Rate at the Money for American Options
Quantized Interest Rate Money for American Options
2010/10/29
In this work, we expand the idea of Samuelson[3] and Shepp[2,5,6] for stock
optimization using the Bachelier model [4] as our models for the stock price at the money
(X[stock price]= K[strike price]...
Max-Plus decomposition of supermartingales and convex order. Application to American options and portfolio insurance
Max-Plus decomposition supermartingales convex order Application American options portfolio insurance
2010/12/17
We are concerned with a new type of supermartingale decomposition in the Max-Plus algebra, which essentially consists in expressing any supermartingale of class $(\mathcal{D})$ as a conditional expec...