ABSTRACT

This book is devoted to the mathematical methods of metamodeling that can be used to speed up the valuation of large portfolios of variable annuities. It is suitable for advanced undergraduate students, graduate students, and practitioners. It is the goal of this book to describe the computational problems and present the metamodeling approaches in a way that can be accessible to advanced undergraduate students and practitioners. To that end, the book will not only describe the theory of these mathematical approaches, but also present the implementations.

part I|1 pages

Preliminaries

chapter 2|10 pages

Existing Approaches

chapter 3|6 pages

Metamodeling Approaches

part II|1 pages

Experimental Design Methods

chapter 4|16 pages

Latin Hypercube Sampling

chapter 5|8 pages

Conditional Latin Hypercube Sampling

chapter 6|14 pages

Hierarchical k-Means

part III|2 pages

Metamodels

chapter 7|26 pages

Ordinary Kriging

chapter 8|22 pages

Universal Kriging

chapter 9|14 pages

GB2 Regression Model

chapter 10|20 pages

Rank Order Kriging

chapter 11|14 pages

Linear Model with Interactions

chapter 12|18 pages

Tree-Based Models