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Non-Linear Time Series Modelling With Applications To Equity And Fixed Income Markets, Galyna Grynkiv

Electronic Thesis and Dissertation Repository

My thesis focuses on theoretical and empirical aspects of modelling time series during different financial and economic conditions. It consists of three separate chapters in which the properties of Threshold Vector Autoregressive Model (TVAR) models are addressed with subsequent applications to equity and fixed income markets. In the first chapter, which is a joint work with my supervisor Lars Stentoft, we examine the steady state properties of the TVAR model. Assuming the trigger variable is exogenous and the regime process follows a Bernoulli distribution, we derive the necessary and sufficient conditions for existence of a stationary distribution. The derived stationarity …