Perpetuity Calculator

A perpetuity is a payment that never ends, and its present value collapses to a single division: PV = C / r. Enter the payment, how often it arrives and the discount rate, and you get the value of the stream, the multiple of one payment it is worth and the rate per period behind it. Adding a growth rate gives the growing perpetuity, PV = C / (r - g), which only has a finite value while g stays below r. The same page runs backwards, from a sum to the payment it supports forever, or from a price and a payment to the return implied.