DOI QR코드

DOI QR Code

Variance Swap Pricing with a Regime-Switching Market Environment

  • Received : 2013.03.08
  • Accepted : 2013.03.14
  • Published : 2013.05.31

Abstract

In this paper we provide a valuation formula for a variance swap with regime switching. A variance swap is a forward contract on variance, the square of realized volatility of the underlying asset. We assume that the volatility of underlying asset is governed by Markov regime-switching process with finite states. We find that the proposed model can provide ease of calculation and be superior to the models currently available.

Keywords

References

  1. Ang, A. and G. Bekaert, "International asset allocation with regime shifts," The Review of Financial Studies 15 (2002), 1137-1187. https://doi.org/10.1093/rfs/15.4.1137
  2. Demeterfi, K., E. Derman, M. Kamal, and J. Zou, "More than you ever wanted to know about volatility swaps," Goldman Sachs Quantitative Strategies Research Notes, 1999.
  3. Elliod, R. J. and G.-H. Lian, "Pricing variance and volatility swaps in a stochastic volatility model with regime switching: discrete observations case," Quantitative Finance, 2012.
  4. Hardy, M. R., "A regime-switching model of long-term stock returns," North American Actuarial Journal 6 (2001), 185-211.
  5. Heyman, D. P. and M. J. Sobel, Stochastic models in operations research I, McGraw-Hill, New York, 1982.
  6. Swishchuk, A., Modeling of variance and volatility swaps for financial markets with stochastic volatilities, Wilmott Magazine (2004), 64-72.
  7. Zhu, S.-P. and G.-H. Lian, "A closed-form exact solution for pricing variance swaps with stochastic volatility," Mathematical Finance 21 (2011), 233-256.