More Americans are acknowledging the need to have a rainy day fund, but say they lack adequate savings to weather a financial emergency, according to a study released on Thursday.

Two-thirds of Americans are saving to cover expenses in a financial emergency, setting aside an average of $46,000, according to the 2015 “Rainy Day Study” released by Chicago-based BMO Harris Premier Services.

While that may seem like good news, the study also found that 69 percent of Americans believe their rainy day fund would run out within a year, while 29 percent say their emergency savings would last one month or less.

Just 33 percent of the study’s respondents thought they had enough savings to cover a financial emergency.

The survey linked Americans’ paucity of emergency savings with a lack of financial planning, with 57 percent of respondents claiming to have no written financial plan.

The survey, conducted online by Pollara, polled more than 3,100 Americans in January.

It found that: