Future Value Factor Table (FVIF & FVIFA)

A future value factor table — often called Table 1 in financial management textbook appendices — is a reference table of ready-made multipliers for computing future value without manual exponentiation. There are two factors: FVIF(r,n) = (1+r)^n for a one-time deposit, and FVIFA(r,n) = ((1+r)^n − 1)/r for a series of periodic deposits (annuity). Multiply the factor by your amount of money and the result is the estimated future value. All figures in this tool are educational estimates, not investment advice.

FVIF (future value interest factor) is for a single sum of money placed once and left to grow: FV = PV × (1+r)^n. Example: Rp1,000,000 at 10% for 5 years uses factor FVIF(10%, 5) = 1.61051, so its value becomes about Rp1,610,510. FVIFA (future value interest factor of annuity) is for recurring deposits each period: FV = PMT × (((1+r)^n − 1)/r). Example: saving Rp1,000,000 every year for 5 years at 10% uses factor FVIFA(10%, 5) = 6.10510, so the total becomes about Rp6,105,100. Use FVIF for one-time deposits and FVIFA for regular deposits.

Open the Full Table tab, then choose the factor type (FVIF or FVIFA). Each column is a per-period interest rate (1% to 20%), each row is a number of periods (1 to 30). The number at the column-row intersection is the factor. Click any cell to see details: the formula, the factor value, and a worked example with Rp1,000,000. You can also download the entire table as a CSV file.

This tool is a textbook-style reference factor table for quick lookups, while the future value calculator at https://nrtechstudio.com/tools/future-value-calculator-basic/ computes a full projection with contributions and shows a year-by-year schedule. Use the factor table when you need a quick multiplier; use the calculator when you want to see the balance develop year by year.

At 0% interest, money does not grow: FVIF(0%, n) = 1 for any n, and FVIFA(0%, n) = n (just sum all deposits). At 0 periods, no time has elapsed: FVIF(r, 0) = 1 and FVIFA(r, 0) = 0 because no deposits have been made yet.

Yes, as long as r and n use the same period: divide the annual rate by 12 and express n in months. Example: 12% per year becomes 1% per month; factor FVIF(1%, 12) = 1.12683. Note that this uses the flat-division assumption (nominal interest), so results may differ slightly from the effective-interest calculations banks use.

Factors are computed directly in your browser with 64-bit floating-point precision, then displayed with 5 decimals like textbook tables — e.g. FVIF(5%, 10) = 1.62889 and FVIFA(5%, 10) = 12.57789. Differences in the sixth decimal and beyond are just display rounding. These figures are pure mathematical computation for educational purposes, not investment advice.