Some children whom their parents are financial experts do become financial experts as their parents because they inherited it from their parents and they have good practice from them and the parents might have given them some part of their business to be managing just to gain experience.
Obviously, it's a basic thing that children learn from what they see and experience as they grow up, so if a family, which means both parents or even other adults, are in financial sectors as professionals, their children will learn about those things as they grow up, just as how a child in a doctors house will have more interest in medical stuff growing up because they see, hear, and experience those terms and things as they grow up.
The both of your responses express inherited knowledge, how do you believe financial experts born thyself. Their kids won't have to do the extraordinary works; savings, spending on priorities, going for big deals...anymore? Mr. A won't benefit from Mr. B's knowledge if he doesn't read and research on the particular subject. Children adopt information willingly, medical practitioners also have drug addicts in their homes. It's a sad world. Although, it's great to begin financial education early, many regret why they began now, kids couldn't care less. Such parents must persist.