Distribution of last time Brownian motion crosses a line

Is the distribution of the last time Brownian motion crosses a line y=a*x known? (Equivalently, the distribution of the last time a Brownian motion with downwards drift hits 0.) It's not hard to give bounds on it, but it would be nice to have an exact distribution if it's known.

• That question discusses the first hitting time, whereas I want the last. Is there an obvious connection that I'm missing? – Elena Yudovina Oct 3 '13 at 21:09
• A simple description of that distribution is given in mathoverflow.net/questions/222705/… – esg Apr 28 '17 at 16:07

• cant it be derived using the analysis done in Billingsley's book convergence of probability measures? he does something very similar for the last time to hit $0$. – user24367 Oct 31 '13 at 7:31