Year: 2017
East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 2 : pp. 343–362
Abstract
Model and parameter uncertainties are common whenever some parametric model is selected to value a derivative instrument. Combining the Monte Carlo method with the Smolyak interpolation algorithm, we propose an accurate efficient numerical procedure to quantify the uncertainty embedded in complex derivatives. Except for the value function being sufficiently smooth with respect to the model parameters, there are no requirements on the payoff or candidate models. Numerical tests carried out quantify the uncertainty of Bermudan put options and down-and-out put options under the Heston model, with each model parameter specified in an interval.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.100316.270117a
East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 2 : pp. 343–362
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Parameter uncertainty Derivative pricing Smolyak algorithm Monte Carlo Entropy.