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Quanto Pricing beyond Black–Scholes

Author

Listed:
  • Holger Fink

    (Department of Computer Science and Mathematics, Munich University of Applied Sciences, Lothstr. 64, 80335 Munich, Germany)

  • Stefan Mittnik

    (Department of Statistics, Ludwig-Maximilians-Universität München, Akademiestrasse 1/I, 80799 Munich, Germany)

Abstract

Since their introduction, quanto options have steadily gained popularity. Matching Black–Scholes-type pricing models and, more recently, a fat-tailed, normal tempered stable variant have been established. The objective here is to empirically assess the adequacy of quanto-option pricing models. The validation of quanto-pricing models has been a challenge so far, due to the lack of comprehensive data records of exchange-traded quanto transactions. To overcome this, we make use of exchange-traded structured products. After deriving prices for composite options in the existing modeling framework, we propose a new calibration procedure, carry out extensive analyses of parameter stability and assess the goodness of fit for plain vanilla and exotic double-barrier options.

Suggested Citation

  • Holger Fink & Stefan Mittnik, 2021. "Quanto Pricing beyond Black–Scholes," JRFM, MDPI, vol. 14(3), pages 1-27, March.
  • Handle: RePEc:gam:jjrfmx:v:14:y:2021:i:3:p:136-:d:522549
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    References listed on IDEAS

    as
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