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This article is cited in 9 scientific papers (total in 9 papers)
Lower and upper bounds for prices of Asian-type options
A. A. Novikovab, N. E. Kordzahiac a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Department of Mathematical Sciences, University of Technology, Sydney, Australia
c Macquarie University, Sydney, Australia
Abstract:
In the context of dealing with financial risk management problems, it is desirable to have accurate bounds for option prices in situations when pricing formulae do not exist in the closed form. A unified approach for obtaining upper and lower bounds for Asian-type options is proposed in this paper. The bounds obtained are applicable to the continuous- and discrete-time frameworks for the case of time-dependent interest rates. Numerical examples are provided to illustrate the accuracy of the bounds.
Received in August 2014
Citation:
A. A. Novikov, N. E. Kordzahia, “Lower and upper bounds for prices of Asian-type options”, Stochastic calculus, martingales, and their applications, Collected papers. Dedicated to Academician Albert Nikolaevich Shiryaev on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 287, MAIK Nauka/Interperiodica, Moscow, 2014, 234–241; Proc. Steklov Inst. Math., 287:1 (2014), 225–231
Linking options:
https://www.mathnet.ru/eng/tm3579https://doi.org/10.1134/S037196851404013X https://www.mathnet.ru/eng/tm/v287/p234
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