Let (ho) be a 0-dimensional squared Bessel process starting at (x), and (T_{0}) its first hitting time

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Let \(ho\) be a 0-dimensional squared Bessel process starting at \(x\), and \(T_{0}\) its first hitting time of 0 . Prove that \(1 / T_{0}\) follows the exponential law with parameter \(x / 2\).

Deduce the probability that \(T_{0} \leq t\) from knowledge of \(\mathbb{Q}_{x}^{0}\left(e^{-\lambda ho_{t}}\right) .

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Mathematical Methods For Financial Markets

ISBN: 9781447125242

1st Edition

Authors: Monique Jeanblanc, Marc Yor, Marc Chesney

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