Opțiuni de căutare
Pagina inițială Media Materiale explicative Studii și publicații Statistici Politică monetară Euro Plăți și piețe Cariere
Sugestii
Sortează în funcție de
Nu este disponibil în limba română

Tom Wagener

1 December 2002
WORKING PAPER SERIES - No. 198
Details
Abstract
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.
JEL Code
C14 : Mathematical and Quantitative Methods→Econometric and Statistical Methods and Methodology: General→Semiparametric and Nonparametric Methods: General
F33 : International Economics→International Finance→International Monetary Arrangements and Institutions
G15 : Financial Economics→General Financial Markets→International Financial Markets