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Pricing of quanto chained options

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A chained option is a barrier option activated in the event that the underlying asset price crosses barrier or barriers prior to maturity in a specified order. In this paper, we study the pricing of chained options with the quanto property called the ``\emph{Quanto chained option}". A quanto chained option is a chained option starting at time when the foreign exchange rate has the multiple crossing of specified barriers. We provide closed-form formulas for valuing the quanto chained options based on probabilistic approach.

Abstract

A chained option is a barrier option activated in the event that the underlying asset price crosses barrier or barriers prior to maturity in a specified order. In this paper, we study the pricing of chained options with the quanto property called the ``\emph{Quanto chained option}". A quanto chained option is a chained option starting at time when the foreign exchange rate has the multiple crossing of specified barriers. We provide closed-form formulas for valuing the quanto chained options based on probabilistic approach.

참고문헌 (8)

  1. L. Bo, "Markov-modulated jump-diffusions for currency option pricing", Insurance Math. Econom, 46(3), pp.461~469 (2010)
  2. A. Giese, "Quanto adjustments in the presence of stochastic volatility", Risk Magazine, 25, pp.67~71 (2012)
  3. S. -C. Huang, "Pricing foreign equity options under Levy processes", J. Futures Mark, 25(10), pp.917~944 (2005)
  4. D. Jun, "Cross a barrier to reach barrier options", J. Math. Anal. Appl, 389(10), pp.968~978 (2012)
  5. D. Jun, "Pricing chained options with curved barriers", Math. Finance, 23(4), pp.763~776 (2013)
  6. 이영록, "The pricing of quanto options in the double square root stochastic volatility model", 대한수학회논문집, 29(3), pp.489~496 (2014), 대한수학회
  7. 박지호, "Pricing of Quanto option under the Hull and White stochastic volatility model", 대한수학회논문집, 28(3), pp.615~633 (2013), 대한수학회
  8. L. Teng, "The pricing of Quanto options under dynamic correlation", J. Comput. Appl. Math, 275, pp.304~310 (2015)

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