R.I. Gen. Laws § 33-6-13: Apportionment on termination of income estate.

If the person entitled to an annuity, use, rent, income or interest dies, or if a contingent event happens, before the termination of a year from a time when the whole of the annual amount for the preceding year has become due, the annuity, use, rent, income or interest, for the then current year, shall be apportioned, and that person or his or her representatives shall be entitled to receive a proportionate part thereof, unless it is otherwise provided in the will or instrument.