Markov-Modulated Models for Derivatives Pricing

  title={Markov-Modulated Models for Derivatives Pricing},
  author={Shaun McKinlay},
The aim of this thesis is to investigate the mathematics of Markov-modulated models for derivatives pricing. We consider a model where instantaneous stock volatility and drift are driven by a continuous time finite Markov chain. We present a new derivation of an integral representation for attainable non-path dependent options’ prices in a twostate and three-state Markov chain model, and compute three of the Greeks in a two-state model. We find that occupation time distributions of Markov… CONTINUE READING
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Pricing options and variance swaps in Markovmodulated Brownian markets. In: Hidden Markov models in finance, p 45–68

  • R. J. Elliott, A. V. Swishchuk
  • 2007

Martingale Methods in Financial Modelling

  • M. Musiela, M. Rutkowski
  • 2005

Stochastic calculus for finance. II: Continuous-time models

  • S. E. Shreve
  • 2004

Option valuation and hedging strategies with jumps in the volatility of asset returns

  • V. Naik
  • Journal of Finance,
  • 1993

Brownian motion and stochastic calculus

  • I. Karatzas, S. E. Shreve
  • 1991

Option pricing when the variance changes randomly: Theory, estimation, and an application

  • L. Scott
  • Journal of Financial and Quantitative Analysis,
  • 1987

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