Pricing American Options Using a Nonparametric Entropy Approach

Monte Carlo Pricing of American Options Using Nonparametric Regression

This paper provides an introduction to Monte Carlo algorithms for pricing American options written on multiple assets, with special emphasis on methods that can be applied in a multi-dimensional setting. Simulated paths can be used to estimate by nonparametric regression the continuation value of the option or the optimal exercise policy and the value functions can then be computed by backward ...

Pricing American Options: A Duality Approach

We develop a new method for pricing American options. The main practical contribution of this paper is a general algorithm for constructing upper and lower bounds on the true price of the option using any approximation to the option price. We show that our bounds are tight, so that if the initial approximation is close to the true price of the option, the bounds are also guaranteed to be close....

Pricing American Options using Simulation

American options are financial contracts that allow exercise at any time until expiration. While the pricing of standard American option contracts has been well researched, with a few exceptions no analytical solutions exist. Valuation of more involved American option contracts, which include multiple underlying assets or pathdependent payoff, is still to a high degree an uncharted area. Most n...

Pricing American Options Using LU Decomposition

Numerical solution methods for pricing American options are considered. We propose a second-order accurate Runge-Kutta scheme for the time discretization of the Black-Scholes partial differential equation with an early exercise constraint. We reformulate the algorithm introduced by Brennan and Schwartz into a simple form using a LU decomposition and a modified backward substitution with a proje...

A Parallel Quasi-Monte Carlo Approach to Pricing American Options