Many Americans have pledged to save more money in 2014, though savings account rates across the U.S. are at rock bottom.

But living in a different state may help depositors earn a bit more on their savings.

Savings account rates in Arkansas are highest with an average yield of 0.204 percent annual percentage yield (APY) and lowest in North Dakota, with an average yield of 0.035 percent APY, according to a GOBankingRates study.

"Savings account rates, on average, are flat-out terrible right now," Casey Bond, GOBankingRates managing editor, said. "Even so, averages don't tell the whole story -- high-yield accounts do exist at small, community banks and credit unions, as well as online banks. Depositors simply need to put in the effort to find them."

How does your state compare?

GOBankingRates aggregated bank account and interest rate information belonging to more than 4,000 financial institutions as of Jan. 20, 2014.