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CHOOSER OPTIONS ON VARIOUS UNDERLYING OPTIONS

  • Wonjoong Kim (Program in Actuarial Science and Financial Engineering Korea University) ;
  • Jinyoung Lee (Department of Financial Engineering Korea University)
  • Received : 2023.06.19
  • Accepted : 2023.07.21
  • Published : 2024.04.30

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.

Keywords

References

  1. F. Black and M. Scholes, The pricing of options and corporate liabilities, J. Polit. Econ. 81 (1973), no. 3, 637-654. https://doi.org/10.1086/260062
  2. P. W. Buchen, The pricing of dual-expiry exotics, Quant. Finance 4 (2004), no. 1, 101-108. https://doi.org/10.1088/1469-7688/4/1/009
  3. R. C. Heynen and H. M. Kat, Pricing and hedging power options, Financial Engineering and the Japanese Markets 3 (1996), 253-261. https://doi.org/10.1007/BF02425804
  4. J. C. Hull, Options, Futures, and Other Derivatives, Pearson Education, Boston, 2017.
  5. S. N. Ibrahim, J. G. O'Hara, and N. Constantinou, Power option pricing via fast fourier transform, 4th Computer Science and Electronic Engineering Conference (CEEC) (2012), 1-6.
  6. W. Margrabe, The value of an option to exchange one asset for another, J. Finance 33 (1978), no. 1, 177-186. https://doi.org/10.1111/j.1540-6261.1978.tb03397.x
  7. R. Martinkut-Kaulien, Exotic options: a chooser option and its pricing, Business, Management and Education 10 (2012), no. 2, 289-301. https://doi.org/10.3846/bme.2012.20
  8. M. Rubinstein, Options for the undecided, Risk Magazine 4 (1991), 43.
  9. M. Rubinstein and E. Reiner, Exotic Options, Working paper, University of California, Berkeley, 1992.
  10. K. Sandmann and M. Wittke, It's your choice: a unified approach to chooser options, Int. J. Theor. Appl. Finance 13 (2010), no. 1, 139-161. https://doi.org/10.1142/S0219024910005711
  11. R. E. Whaley, Derivatives: Markets, Valuation, and Risk Management, John Wiley & Sons, Hoboken, 2006.
  12. P. G. Zhang, Exotic Options, World Scientific, Singapore, 1997.