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A square root process for modelling correlation / vorgelegt von Cathrin van Emmerich. [2009]
Content
Acknowledgment
Contents
Introduction
Motivation
Linear correlation coefficient
Outline
Model
Observed characteristics of correlation
Stochastically correlated Brownian motions
Bounded mean reversion model
Analytical Properties
Boundary behaviour
Stationary density
Moments
Summary
Maximum-Likelihood estimator
Overview
Estimating the integral of an Ornstein-Uhlenbeck process
Fitting the stochastic correlation process
Numerical tests
Summary
Application
Foreign exchange model
Large homogeneous portfolio model (LHPM)
Summary
Conclusion
Appendix
Numerical treatment
Calculating the integration constants for the stationary densities
Bibliography
Index