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Estimating multiple option Greeks simultaneously using random parameter regression
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Fu, Haifeng, Jin, Xing, Pan, Guangming and Yang, Yanrong (2012) Estimating multiple option Greeks simultaneously using random parameter regression. Journal of Computational Finance, 16 (2). pp. 85-118. ISSN 1460-1559.
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Abstract
The derivatives of option prices with respect to underlying parameters are commonly referred to as Greeks, and they measure the sensitivities of option prices to these parameters. When the closed-form solutions for option prices do not exist and the discounted payoff functions of the options are not sufficiently smooth, estimating Greeks is computationally challenging and could be a burdensome task for high-dimensional problems in particular. The aim of this paper is to develop a new method for estimating option Greeks by using random parameters and least-squares regression. Our approach has several attractive features. First, just like the finite-difference method it is easy to implement and does not require explicit knowledge of the probability density function and the pathwise derivative of the underlying stochastic model. Second, it can be applied to options with discontinuous discounted payoffs as well as options with continuous discounted payoffs. Third, and most importantly, we can estimate multiple derivatives simultaneously. The performance of our approach is illustrated for a variety of examples with up to fifty Greeks estimated simultaneously. The algorithm is able to produce computationally efficient results with good accuracy.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Social Sciences > Warwick Business School | ||||
Journal or Publication Title: | Journal of Computational Finance | ||||
Publisher: | Incisive Media Plc. | ||||
ISSN: | 1460-1559 | ||||
Official Date: | 18 December 2012 | ||||
Dates: |
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Volume: | 16 | ||||
Number: | 2 | ||||
Page Range: | pp. 85-118 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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