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Chooser options on various underlying options

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We consider chooser options written on various underlying assets other than vanilla call and put options. Specifically, we deal with (i) the chooser option written on the power call and put options, and (ii) the chooser option written on the exchange options. We provide explicit formulas for the prices of these chooser options whose underlying assets are either power options or exchange options, rather than the vanilla call and put options.

Abstract

We consider chooser options written on various underlying assets other than vanilla call and put options. Specifically, we deal with (i) the chooser option written on the power call and put options, and (ii) the chooser option written on the exchange options. We provide explicit formulas for the prices of these chooser options whose underlying assets are either power options or exchange options, rather than the vanilla call and put options.

참고문헌 (12)

  1. F. Black, "The pricing of options and corporate liabilities", J. Polit. Econ, 81(3), pp.637~654 (1973)[DOI]
  2. P. W. Buchen, "The pricing of dual-expiry exotics", Quant. Finance, 4(1), pp.101~108 (2004)[DOI]
  3. R. C. Heynen, "Pricing and hedging power options", Financial Engineering and the Japanese Markets, 3, pp.253~261 (1996)
  4. J. C. Hull, "Options, Futures, and Other Derivatives" (2017), Pearson Education
  5. S. N. Ibrahim, "Power option pricing via fast fourier transform", 4th Computer Science and Electronic Engineering Conference (CEEC), pp.1~6 (2012)
  6. W. Margrabe, "The value of an option to exchange one asset for another", J. Finance, 33(1), pp.177~186 (1978)
  7. R. Martinkut-Kaulien, "Exotic options: a chooser option and its pricing", Business, Management and Education, 10(2), pp.289~301 (2012)
  8. M. Rubinstein, "Options for the undecided", Risk Magazine, 4, pp.43~ (1991)
  9. Exotic Options, "M. Rubinstein", University of California, ~ (1992)
  10. K. Sandmann, "It’s your choice : a unified approach to chooser options", Int. J. Theor. Appl. Finance, 13(1), pp.139~161 (2010)[DOI]
  11. R. E. Whaley, "Derivatives: Markets, Valuation, and Risk Management" (2006), John Wiley &Sons
  12. P. G. Zhang, "Exotic Options" (1997), World Scientific

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