Appendix: Recursive Marginal Quantization of Higher-Order Schemes
9 Pages Posted: 17 Nov 2017
Date Written: November 14, 2017
Abstract
This document serves as the online appendix to McWalter et al. [2017]. It provides efficient matrix implementations for both vector quantization and the generalized recursive marginal quantization, which allows for the implementation of the higher-order discretization schemes presented in the main paper. It includes graphical examples of how the higher-order discretization schemes reduce the error in the implied marginal distributions for both the geometric Brownian motion process (GBM) and its generalization, the constant elasticity of variance (CEV) process. It concludes with an example of the effect of modelling the CEV process with an absorbing or reflecting boundary at zero.
The full-text version of this paper can be found at http://ssrn.com/abstract=2894753.
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