Steven D. Hayworth, chief executive of Gibraltar Private Bank and Trust, is thrilled that his daughter will be working this summer at a women’s clothing store before heading to college in the fall. It is not the particular job that pleases Mr. Hayworth. Rather, he is hoping his daughter will make the connection between how much she earns each day and what that will buy.

“As a parent who has worked his whole life and has had a little bit of success in my career, one of the huge life lessons I learned early on is the value of a dollar,” said Mr. Hayworth, whose bank is based in Coral Gables, Fla. “Particularly for children of upper-middle-class and affluent families, there’s no perspective on value. When the new Range Rover pulls into the driveway, there’s no concept of how many hours of hard work went into owning that vehicle.”

Unlike many collegebound children today, Mr. Hayworth’s daughter would have had no worries if she had not been able to find a job. She could have spent the summer by the pool knowing her parents had the money to put her through college.

But the fact that she does not have to work is exactly what worries Mr. Hayworth and many other affluent parents. The recession and tight job market have made it imperative to teach their children the value of work. They worry about that, it seems, more than about any short-term swings in their portfolios.