Trivariate support of flat-volatility forward Libor rates
Jamshidian, Farshid (2007) Trivariate support of flat-volatility forward Libor rates.
|Abstract:||This paper investigates the multivariate support of forward Libor rates in the one-factor, constant volatilities Libor market model. The comparatively simple bivariate case was solved in Jamshidian  in connection to the recent finding by Davis and Mataix-Pastor  of positive probability of negative Libor rates in the swap market model. The approach here builds on  but becomes really effective only in the trivariate case, and there particularly for a special “flat-volatility” case, leading to an analytic solution. The main idea is a certain recursion in the Libor market model by means of which the calculation of the support is reduced to a calculus of variation problem (with bounds on the slope).|
|Link to this item:||http://purl.utwente.nl/publications/59850|
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