Estimating option implied risk‐neutral densities using spline and hypergeometric functions



Bu, Ruijun ORCID: 0000-0002-3947-3038 and Hadri, Kaddour
(2007) Estimating option implied risk‐neutral densities using spline and hypergeometric functions. The Econometrics Journal, 10 (2). pp. 216-244.

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Abstract

We examine the ability of two recent methods - the smoothed implied volatility smile method (SML) and the density functionals based on confluent hypergeometric functions (DFCH) - for estimating implied risk-neutral densities (RNDs) from European-style options. Two complementary Monte Carlo experiments are conducted and the performance of the two RND estimators is evaluated by the root mean integrated squared error (RMISE) criterion. Results from both experiments show that the DFCH method outperforms the SML method for the overall quality of the estimated RNDs concerning both accuracy and stability. An application of the two methods to the OTC currency options market is also presented. © Royal Economic Society 2007.

Item Type: Article
Additional Information: ## TULIP Type: Articles/Papers (Journal) ##
Depositing User: Symplectic Admin
Date Deposited: 17 Oct 2016 08:59
Last Modified: 22 Nov 2023 12:33
DOI: 10.1111/j.1368-423x.2007.00206.x
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3003792