Please use this identifier to cite or link to this item:
Bødskov Andersen, Allan
Wagener, Tom
Year of Publication: 
Series/Report no.: 
ECB Working Paper 198
Following Shimko (1993), a large amount of research has evolved around the problem of extracting risk neutral densities from options prices by interpolating the Balck-Scholes implied volatility smile. Some of the methods recently proposed use variants of the cubic spline. Thesee methods have the property of producing non-differentiable probability densities. We argue that this is an undesirable feature and suggest circumventing the problem by fitting a smoothing spline of higher order polynomials with a relatively low number of knot points. In the estimations we opt for a measure of roughness penalty, which is more appropriate than the plain second partial derivative often used. We apply this technique to the LIFFE three-month Euribor future option proces. Constant horizon risk neutral densities are calculated and summary statistics from these densities are used to assess market uncertainty on a day-by-day basis. Finally, we analyse the impact of the 11 September attacks on the expectation of future Euribor interest rates.
Document Type: 
Working Paper

Files in This Item:
801.11 kB

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.