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PRICING MULTI-ASSET DERIVATIVES WITH REGIME-SWITCHING VOLATILITIES

  • Received : 2014.01.17
  • Accepted : 2014.04.07
  • Published : 2014.05.15

Abstract

In this paper we provide a valuation method for multi-asset derivatives with single jump regime-switching volatilities. We suppse that volatilities of assets are affected by an n-dimensional independent Markov regime-switching process.

Keywords

References

  1. C. D. Fhu, I. Hu, and S. K. Lin, Empirical performance and asset pricing in hidden Markov models, Commun. Statist.: Theory Math. 13 (2003), 2477-2512.
  2. A. T. Hansen and R. Poulsen, A simple regime switching term structure model, Fin. Stoch. 4 (2000), 409-429. https://doi.org/10.1007/PL00013523
  3. I. Karatzas and S. E. Shreve, Brownian motion and stochastic calculus, Springer, 2000.
  4. K. Roh, Pricing commodity futures contracts with a regime-switching model, J. Chungcheong Math. 26 (2013), 787-791. https://doi.org/10.14403/jcms.2013.26.4.787
  5. K. Roh, Variance swap pricing with a regime-switching market environment, Manage. Sci. and Fin. Eng. 19 (2013), 49-52.
  6. J. H. Yoon, B. Jang, and K. Roh, An analytic valuation method for multivariate contingent claims with regime-switching volatilities, Oper. Res. Letters. 39 (2011), 180-187. https://doi.org/10.1016/j.orl.2011.02.010
  7. Q. Zhang and X. Y. Zhou, Valuation of stock loans with regime-switching, SIAM J. Control and Optim. 48 (2009), 1229-1250. https://doi.org/10.1137/070708998