Annuitant

You might say "the person getting an annuity." The stuffed shirt at the insurance company would say "annuitant."

An annuity is an investment in which a person pays a lump sum now to get small regular payments later on. So you might give $100,000 and in 20 years, the annuity will start paying you $1,000 a month. At that point you become the annuitant.