Health savings accounts (HSAs) allow taxpayers with high-deductible health insurance plans to set aside pretax dollars that can be withdrawn tax-free to pay unreimbursed medical expenses. You might find an HSA to be the right choice for you and your family. The 2014 contribution limit to an HSA is $3,300 for individuals and $6,550 for families, with a $1,000 catch-up contribution for older individuals.