An annuity in which the periodic payment begin on a fixed date and continue forever is called

An annuity with periodic payments that begin on a fixed date and continue forever needs to be identified.

The key characteristic is that payments continue indefinitely with no end date.

A sinking fund involves regular savings to pay for something specific in the future. It has an end date when the accumulated money is used, so payments do not continue forever.

A perpetuity is an annuity where payments continue indefinitely with no end date. The term "perpetual" means forever, which matches the requirement of payments that never stop.

Example: A scholarship that pays a fixed amount every year from an endowment fund, continuing forever.

A coupon payment is the interest payment received from owning a bond. Since bonds have maturity dates, these payments end when the bond matures.

A bond is a debt instrument with a fixed maturity date. When the bond matures, payments stop and the principal is returned, so it does not continue forever.

The answer is perpetuity, as it is the only financial arrangement where periodic payments continue indefinitely without an end date.