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 ECONOMETRICS JOURNAL, 10 (2). pp. 216-244. ISSN 1368-4221, 1368-423X

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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) ##
Uncontrolled Keywords:	risk-neutral density, natural spline, hypergeometric functions, root mean integrated squared error
Depositing User:	Symplectic Admin
Date Deposited:	17 Oct 2016 08:59
Last Modified:	22 May 2026 23:08
DOI:	10.1111/j.1368-423X.2007.00206.x
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3003792
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