Future Value of Growing Annuity Calculator

What is Future Value of Growing Annuity (FVGA)?

The Future Value of a Growing Annuity (FVGA) is the total accumulated value of a series of payments that increase at a constant rate (g) each period, invested at a given interest rate (r). Unlike a standard annuity where all payments are equal, a growing annuity accounts for payments that grow over time — making it ideal for modeling real-world scenarios like inflation-adjusted savings, escalating rent, or growing business revenues.

A growing annuity is distinct from a standard annuity because the payment amount changes each period by a fixed growth rate. For example, if you start with a $1,000 payment growing at 3% per year, the second year's payment would be $1,030, the third year $1,060.90, and so on. This pattern closely matches how salaries, expenses, and investment contributions often evolve in practice.

The FVGA Formula

When the interest rate differs from the growth rate (r ≠ g):

$$FVGA = C_1 \times \frac{(1 + r)^n - (1 + g)^n}{r - g}$$

When the interest rate equals the growth rate (r = g):

$$FVGA = C_1 \times n \times (1 + r)^{n - 1}$$

Where:

• C₁ = First payment amount
• r = Interest rate per period (as a decimal)
• g = Growth rate per period (as a decimal)
• n = Number of periods

Note: For the standard formula to be valid, the growth rate (g) must be less than the interest rate (r). When g ≥ r, the annuity has no finite future value under standard assumptions.

How to Use This Calculator

Enter the first payment amount, the interest rate, the growth rate, and the number of periods. The calculator will show the future value of your growing annuity, total contributions, total interest earned, the growth multiple, and a detailed period-by-period schedule showing how each payment grows and contributes to the final total.

Growing Annuity vs. Standard Annuity

In a standard (level) annuity, all payments are equal. In a growing annuity, each payment increases by a fixed percentage from the previous period. This makes growing annuities more realistic for many financial scenarios because:

• Salaries and income typically increase over time with inflation and promotions
• Retirement contribution limits often increase annually
• Rental income and lease payments frequently include escalation clauses
• Business revenues and costs tend to grow over time

Practical Applications

FVGA is valuable for financial planning that involves growing payment streams. For example, if you start investing $10,000 per year and increase your contributions by 3% annually (matching typical salary growth) while earning 7% returns, a growing annuity model will give you a much more accurate retirement projection than a level-payment model. Real estate investors use FVGA to project returns from properties with escalating lease terms.

Explore related tools like the Future Value of Annuity Calculator for level payment streams, or the Present Value of Growing Annuity Calculator for discounting growing payment streams to today's value.