Multi-asset spread option pricing and hedging
AbstractWe provide two new closed-form approximation methods for pricing spread options on a basket of risky assets: the extended Kirk approximation and the second-order boundary approximation. The latter method generalizes the results in Li et al. [J. Deriv., 2008, 15, 58-80] to spread options on an arbitrary number of assets. Numerical analysis shows that while the latter method is more accurate than the former, both methods are extremely fast and accurate. Closed-form approximations for important Greeks are also derived. Our approximation methods enable the accurate pricing of a bulk volume of spread options on a large number of assets in real time, which offers traders a potential edge in a dynamic market environment.
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Bibliographic InfoArticle provided by Taylor & Francis Journals in its journal Quantitative Finance.
Volume (Year): 10 (2010)
Issue (Month): 3 ()
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Web page: http://www.tandfonline.com/RQUF20
Other versions of this item:
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
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- Li, Minqiang, 2008. "Closed-Form Approximations for Spread Option Prices and Greeks," MPRA Paper 6994, University Library of Munich, Germany.
- Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-86, March.
- Li, Minqiang, 2007. "The Impact of Return Nonnormality on Exchange Options," MPRA Paper 7020, University Library of Munich, Germany.
- Jarrow, Robert & Rudd, Andrew, 1982. "Approximate option valuation for arbitrary stochastic processes," Journal of Financial Economics, Elsevier, vol. 10(3), pages 347-369, November.
- Johnson, Shane A. & Tian, Yisong S., 2000. "Indexed executive stock options," Journal of Financial Economics, Elsevier, vol. 57(1), pages 35-64, July.
- Pablo Olivares, 2014. "Pricing of Basket Options Using Polynomial Approximations," Papers 1404.3160, arXiv.org.
- Pablo Olivares & Alexander Alvarez, 2014. "A Note on the Pricing of Basket Options Using Taylor Approximations," Papers 1404.3229, arXiv.org.
- Li, Minqiang & Mercurio, Fabio, 2013. "Closed-Form Approximation of Timer Option Prices under General Stochastic Volatility Models," MPRA Paper 47465, University Library of Munich, Germany.
- Tommaso Paletta & Arturo Leccadito & Radu Tunaru, 2013. "Pricing and Hedging Basket Options with Exact Moment Matching," Papers 1312.4443, arXiv.org.
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