PERPETUITY

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Definition

A stream of equal cash flows that continues indefinitely.


Summary

A perpetuity is a financial concept representing an endless series of identical payments made at regular intervals. Think of it as a money stream that never stops flowing - like receiving the same amount every year forever. Unlike annuities that have an end date, perpetuities theoretically continue indefinitely. The present value of a perpetuity can be calculated using the simple formula: PV = PMT/r, where PMT is the payment amount and r is the discount rate.

Usage Context

Understanding perpetuities is crucial when valuing financial instruments with indefinite payment streams, calculating present values of long-term investments, analyzing dividend-paying preferred stocks, and making decisions about endowments or trust funds. This concept is fundamental in corporate finance, investment analysis, and estate planning.

Common Confusions

  • Thinking perpetuities actually last forever in practice
  • Confusing perpetuities with long-term annuities
  • Forgetting that the payment amount must be constant
  • Mixing up the perpetuity formula with annuity formulas
  • Not understanding why the present value is finite despite infinite payments
  • Assuming all dividend-paying stocks are perpetuities