The bank agreed to her fee but would not discuss details.

According to Johan Jervoe, the chief marketing officer at UBS, it has made the exhibitions free for the public and sponsored educational programs and workshops for art students with Ms. Leibovitz at each space. UBS gets a set of prints at the end to add to its corporate collection of 35,000 artworks and the association of Ms. Leibovitz’s high-profile tour to burnish its brand.

“This is a dream assignment for me,” Ms. Leibovitz said. “Not enough people talk about how great it is to get older and some of the cool stuff you get to do.”

That can mean jumping into the pool, as she did recently to photograph the Olympic swimming champion Katie Ledecky underwater, pushing off from the side as though in a trance. Ms. Leibovitz is confident she will be photographing Hillary Clinton in the White House. “This is her time,” she said.

When will she consider the project complete? “Susan herself said this was always a work in progress,” Ms. Leibovitz said. “Women are a work in progress. To my dying day, I’ll be doing these photographs.”