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Perpetuity Definition A perpetuity is an investment which regularly pays a certain amount of money indefinitely, sometimes referred to as a perpetual annuity. There are very few of these actually in existence as annuities are far more common.
Assume the following characteristics: 1  Perpetuity with a face value of $100 is purchased. 2  The perpetuity pays a $4 periodic payment which is a yield of 4%. 3  US Treasuries are currently yielding 2%. 4  The discount rate on the perpetuity is 2% / 4% = 0.5.