To LilyBD and all big 4 ers

LilyBD, I enjoyed reading your post. I have a career switch question. I have been working in industry for many years. When I look at job openning for a higher level position in accounting/finanical field, 95% of time it will ask for big 4 experience. My question is if I apply for big 4, will I be too old to be considered since my impression is they always hire fresh graduate from college? Thanks!