Perpetuity Calculator

• •Use the Perpetuity Calculator when comparing financial options side-by-side — such as different loan terms or investment returns — to make more informed decisions.
• •Use it to quickly estimate costs or returns before making purchasing, investment, or borrowing decisions.
• •Use it for financial education and planning to understand how compound interest, fees, or tax affects the real value of money over time.
• •Use it when building or reviewing a budget to verify that projections and calculations are mathematically correct.

The Perpetuity calculator determines the present value of an infinite series of cash flows. A flat perpetuity pays the same amount forever, while a growing perpetuity increases payments at a constant rate each year. This concept is fundamental in finance for valuing preferred stock dividends, charitable endowments, and calculating terminal values in discounted cash flow models. The Gordon Growth Model, a form of the growing perpetuity formula, is one of the most widely used methods for valuing dividend-paying stocks. Understanding perpetuities helps investors evaluate any asset that promises regular payments extending indefinitely into the future.

• !Setting the growth rate equal to or greater than the discount rate, which makes the formula produce infinity or a negative number, both of which are meaningless.
• !Using next year's cash flow when the formula calls for the current year's flow or vice versa, causing a one-period timing error.
• !Forgetting that perpetuity assumes constant growth forever, which rarely holds in reality for individual companies.