Young homeowners say they're eager for their next big buy, according to the Silicon Valley Business Journal; 

In the bay area it's really tough to save your pennies after paying rent, but save your pennies Eighty percent of young home buyers today view home ownership as beneficial for their long-term financial standing. Reports show that they're excited to get started but are taking a thoughtful approach by improving their credit, paying down their debts and building their savings.
Recent surveys have shown that almost half of first-time buyers believe they need 20 percent or more of a home’s price for a down payment. Avoiding paying private mortgage insurance is motivation to save for your down. Sixty percent of current homeowners across generations said they would tell their younger selves to start saving sooner to make that first home purchase.
So, looks like mom and dad were right after all. Empty your change into a jar at the end of the day; save $20 by bringing your lunch to work; force yourself to electronically deposit a comfortable amount into your savings account each month. Before you know it, you will enjoy the tax benefits and security of owning your own home. Be sure to keep putting away your pennies for things like broken pipes, new roofs and the like. Just remember, it'll be yours so you can paint your living room purple if you want!