I think the answer is: Older men produce sperm that have originated from more prior mitotic cell divisions in the germ line, so there are more opportunities for mutations to occur.
If the producing sperm at 15 years old, sperm of 20 years old man is made from 5 years of division.
When he is 40 years old, the sperm is made from sperm that divides for 25 years. So, 40 years old man sperm should accumulate more mutation as it divides more.