The amount you can set aside in a health savings account (HSA) in 2012 increased to $3,100 for an individual and to $6,250 for a family. If you’re 55 or older, you’re allowed an additional $1,000 contribution. HSAs permit taxpayers who have high deductible health insurance plans to set aside pretax dollars that can be withdrawn tax-free to pay medical expenses not reimbursed by insurance.