Recent headlines have touted stock market records and low unemployment numbers. But behind the data, the vast majority of Americans are still stressed about their finances and would have trouble paying out-of-pocket for a minor emergency, according to a new report from J.D. Power.

More than 75% of Americans say they are stressed about their money, J.D. Power found, and 35.5% have less than $1,000 saved across checking, savings, retirement and other investment accounts. While economic trends look positive, a skyrocketing stock index doesn't mean much if you don't have enough money to invest, Bob Neuhaus, vice president, global financial services at J.D. Power, tells CNBC Make It.