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Closed-Form Approximations for Spread Option Prices and Greeks

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  • Li, Minqiang

Abstract

We develop a new closed-form approximation method for pricing spread options. Numerical analysis shows that our method is more accurate than existing analytical approximations. Our method is also extremely fast, with computing time more than two orders of magnitude shorter than one-dimensional numerical integration. We also develop closed-form approximations for the greeks of spread options. In addition, we analyze the price sensitivities of spread options and provide lower and upper bounds for digital spread options. Our method enables the accurate pricing of a bulk volume of spread options with different specifications in real time, which offers traders a potential edge in financial markets. The closed-form approximations of greeks serve as valuable tools in financial applications such as dynamic hedging and value-at-risk calculations.

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File URL: http://mpra.ub.uni-muenchen.de/6994/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 6994.

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Date of creation: 2008
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Handle: RePEc:pra:mprapa:6994

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  1. Vicky Henderson & David Hobson & William Shaw & Rafal Wojakowski, 2003. "Bounds for Floating-Strike Asian Options using Symmetry," OFRC Working Papers Series 2003mf04, Oxford Financial Research Centre.
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Cited by:
  1. Carol Alexander & Aanand Venkatramanan, 2007. "Analytic Approximations for Spread Options," ICMA Centre Discussion Papers in Finance icma-dp2007-11, Henley Business School, Reading University.
  2. Minqiang Li & Jieyun Zhou & Shi-Jie Deng, 2010. "Multi-asset spread option pricing and hedging," Quantitative Finance, Taylor & Francis Journals, vol. 10(3), pages 305-324.
  3. Elisa Alòs & Jorge A. León, 2013. "On the closed-form approximation of short-time random strike options," Economics Working Papers 1347, Department of Economics and Business, Universitat Pompeu Fabra.
  4. Caldana, Ruggero & Fusai, Gianluca, 2013. "A general closed-form spread option pricing formula," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4893-4906.
  5. 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.
  6. Alexander Kushpel, 2014. "Pricing of basket options I," Papers 1401.1856, arXiv.org.
  7. 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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