Modelling Interest Rate Dynamics
Carl Chiarella,
Xuezhong (Tony) He () and
Christina Sklibosios Nikitopoulos
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Christina Sklibosios Nikitopoulos: University of Technology Sydney
Chapter Chapter 22 in Derivative Security Pricing, 2015, pp 439-467 from Springer
Abstract:
Abstract In this chapter, we establish the fundamental relationships between interest rates, bond prices and forward rates. We further discuss the modelling of interest rates and analyse typical models for the spot interest rate and the forward rates. As we desire interest rates to be non-negative, we seek stochastic processes with this feature such as the Feller process. Thus we present the motivation of the Feller process and its relevance to the interest rate modelling. We also summarise the main results of Fubini’s theorem, that are very useful for modelling forward rates.
Keywords: Interest Rate; Stochastic Differential Equation; Forward Rate; Spot Rate; Bond Price (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-662-45906-5_22
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DOI: 10.1007/978-3-662-45906-5_22
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