Abstract: Using a Lie algebraic approach we explicitly compute the transitiondensity function for the solution of the stochastic differential equation definingthe CIR process. Moreover we show how to use such a derivation to recover thewell-known formula for the asscoiated ZCB fair price.

TRANSITION DENSITY FOR CIR PROCESS BY LIE SYMMETRIES AND APPLICATION TO ZCB PRICING

F. Cordoni;DI PERSIO, Luca
2013-01-01

Abstract

Abstract: Using a Lie algebraic approach we explicitly compute the transitiondensity function for the solution of the stochastic differential equation definingthe CIR process. Moreover we show how to use such a derivation to recover thewell-known formula for the asscoiated ZCB fair price.
2013
CIR process; stochastic differential equations; Lie symmetry groups; diffusion processes; transition densities
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/744773
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