Title
A class of risk neutral densities with heavy tails
Abstract
.   From observed bid and ask prices of European call and put options we estimate the risk neutral density of a stock at some future time . We restrict attention to a class of densities with heavy tails and use a Bayesian formulation in order to study the variation in the distributions fitting the data. Heavy tails are here meant in the intuitive sense of being heavier than the tails of a normal distribution. From the fitted risk neutral density we also consider the inverse problem of finding the volatility in a diffusion model for the price process. Finally, we apply our methods to data on the S&P 500 index.
Year
DOI
Venue
2001
10.1007/s007800000025
Finance and Stochastics
Keywords
Field
DocType
inverse problems,risk neutral density,markov chain monte carlo,diffusion model,christmas tree densities,inverse problem,heavy tail,indexation,normal distribution
Econometrics,Financial economics,Normal distribution,Markov chain Monte Carlo,Risk neutral,Inverse problem,Volatility (finance),Bayesian formulation,Diffusion (business),Mathematics,Bid price
Journal
Volume
Issue
Citations 
5
1
2
PageRank 
References 
Authors
0.84
3
3
Name
Order
Citations
PageRank
Niels Væver Hartvig120.84
Jens Ledet Jensen2655.43
Jan Pedersen321.18