The explicit solution and precise distribution of CKLS model under Girsanov transform

preprint2014arXivOpen access

Abstract

We study the relation between CKLS model and CIR model. We prove that under a suitable transformation, any CKLS model of order 12<γ<1\frac{1}{2}<γ<1 or γ>1γ> 1 corresponds to a CIR model under a new probability space. Moreover, we get the explicit solution and the precise distribution of the CKLS model at any time tt under the new probability measure. We also give the moment estimation of CKLS model.

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