Arbeitspapier

Exact solutions for the transient densities of continuous-time Markov switching models: With an application to the poisson multifractal model

This paper shows how exact solutions for the transient density of a large class of continuous-time Markov switching models can be obtained. We illustrate the pertinent approach for both simple diffusion models with a small number of regimes as well as for the more complicated so-called Poisson multifractal model introduced by Calvet and Fisher (2001) with an arbitrarily large number of regimes. Our results can be immediately applied as well to various popular Markov switching models in financial economics. Closed-form solutions provide for the possibility of exact maximum likelihood estimation for discretely sampled Markov-switching diffusions and also facilitate the use of such models in applied tasks such as option pricing and portfolio management.

Language
Englisch

Bibliographic citation
Series: Kiel Working Paper ; No. 1871

Classification
Wirtschaft
Estimation: General
Financial Econometrics
Asset Pricing; Trading Volume; Bond Interest Rates
Subject
regime switching
continuous-time models
multifractal models

Event
Geistige Schöpfung
(who)
Lux, Thomas
Event
Veröffentlichung
(who)
Kiel Institute for the World Economy (IfW)
(where)
Kiel
(when)
2013

Handle
Last update
10.03.2025, 11:47 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Lux, Thomas
  • Kiel Institute for the World Economy (IfW)

Time of origin

  • 2013

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