An annuity in which you receive an income for the rest of your life, but no payments are made to anyone after your death is called:

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A life annuity provides income for the rest of your life with no payments made to anyone after your death. A fixed-term annuity makes payments for a predetermined period of time, an installment refund annuity guarantees payments for a certain period of time or until death, and a Registered Retirement Income Fund and money purchase pension plan are retirement savings plans, but do not specifically provide income for life.

An Annuity in Which You Receive an Income for the Rest