Quantization-based Bermudan option pricing in the foreign exchange world

Stochastic Kriging for Bermudan Option Pricing

We investigate three new strategies for the numerical solution of optimal stopping problems within the Regression Monte Carlo (RMC) framework of Longstaff and Schwartz. First, we propose the use of stochastic kriging (Gaussian process) meta-models for fitting the continuation value. Kriging offers a flexible, nonparametric regression approach that quantifies approximation quality. Second, we co...

Numeraire-invariant Option Pricing & American, Bermudan, and Trigger Stream Rollover

Part I proposes a numeraire-invariant option pricing framework. It defines an option, its price process, and such notions as option indistinguishability and equivalence, domination, payoff process, trigger option, and semipositive option. It develops some of their basic properties, including price transitivity law, indistinguishability results, convergence results, and, in relation to nonnegati...

Importance Resampling with MRAS algorithm for Bermudan option pricing

The Empirical Performance of Option-Based Densities of Foreign Exchange

Working papers of the Federal Reserve Bank of Cleveland are preliminary materials circulated to stimulate discussion and critical comment on research in progress. They may not have been subject to the formal editorial review accorded official Federal Reserve Bank of Cleveland publications. The views stated herein are those of the authors and are not necessarily those of the Federal Reserve Bank...

Option pricing in a world with arbitrage

We discuss option pricing problems under a new model of stock fluctuations. This model captures the information distribution among investors by adjoining a hidden Markov process to the Black-Scholes exponential Brownian motion model. We provide new valuations for various standard hedge options, such as European, perpetual American and look-back options.