Mickey Ricarrd and Grace Lucchese bought a home in January with a 2.6% mortgage rate.Courtesy of Grace LuccheseMortgage rates are falling but remain high compared to the rates of the past few years.Assumable mortgages can help homebuyers get lower rates and reduce their monthly payments.Here are three homebuyers who got rates under 3% in the past two years with assumable mortgages.Over the past few years, US mortgage rates have fluctuated wildly, leaving both homebuyers and sellers scrambling.In 2021, rates fell to as low as 2.1% as the Federal Reserve acted to keep the economy ticking during the COVID-19 pandemic.