Profeta, Christophe - In: Analítika 7 (2014) 1, pp. 7-19
Let $(mathcal{E}_t, tgeq0)$ be a geometric Brownian motion. In this paper, we compute the law of a generalization of Dufresne’s translated perpetuity (following the terminology of Salminen-Yor) : $$ int_0^{+infty} frac{mathcal{E}_s^2}{(mathcal{E}_s^2+2 amathcal{E}_s +b)^2} ds,$$ and show that,...