Future Value Calculator
Calculate the Future Value (FV) of current cash flows, lump-sum investments, and periodic annuities using Time Value of Money principles.
Input Parameters
Live Result
Details
Steps
Calculate future value of initial lump sum: PV × (1 + r)^n
Calculate future value of periodic annuity contributions
Sum total future value and separate compound interest yield
Quick Answer & Understanding Your Result
A Future Value Calculator computes the future worth of current cash (PV) and periodic cash flow annuities (PMT) based on compound interest rates and time periods.
Time Value of Money (TVM) Fundamentals
- Lump-Sum Growth: Future value of a single deposit compounded over t periods (FV = PV × (1 + r)ᵗ).
- Ordinary Annuity Growth: Future value of recurring deposits made at the end of each period (FV = PMT × [((1 + r)ᵗ - 1) / r]).
- The Power of Compounding: Demonstrates that a dollar received today is worth more than a dollar received in the future due to its earning capacity.
Financial Modeling Uses
- Bond & Sinking Fund Valuations: Determining capital requirements to retire corporate debt maturities.
- Education & College Funds: Projecting 18-year college savings plans for children.
Enter present value, periodic payment, interest rate, and periods above to compute the future value instantly.
Formula & Calculation Logic
Mathematical FormulaTime Value of Money formulas:
- PV (Present Value): Starting balance or lump-sum capital.
- PMT (Periodic Payment): Cash contribution added at the end of each period.
- r (Periodic Rate): Rate per compounding period (r = Rate / 100).
- t (Number of Periods): Total compounding periods.
Step-by-Step Guide
Enter Present Value (PV)
Input starting lump-sum capital (e.g. $10,000).
Enter Periodic Payment & Rate
Input recurring contribution (e.g. $200) and interest rate per period (e.g. 8%).
Set Periods & View FV
Receive future value, total interest earned, and comprehensive TVM table.
Worked Examples Table
| Example | Input Values | Calculated Result | Explanation |
|---|---|---|---|
| $10,000 PV + $200/Month at 8% for 10 Years | $10,000 grew to $22,196.40; monthly deposits added $36,610.54. | ||
| $10,000 Initial + $500/mo @ 8% for 15 Years | Provides instant quantitative evaluation for comparative practical analysis. |
Frequently Asked Questions
Evidence-Based Methodology & Authoritative References
CFA Institute - Time Value of Money Standards
US SEC - Time Value of Money Concepts
Standard: ISO / W3C / IETF Authoritative Domain Standard
Formula: FV = PV × (1 + r)ᵗ + PMT × [((1 + r)ᵗ - 1) / r]
Last Reviewed: August 21, 2026
Primary Source: CFA Institute - Time Value of Money Standards
Reference Document: US SEC - Time Value of Money Concepts
Computation Privacy: 100% client-side 0ms computation, zero data retention
Calculated financial results are modeled based on standard financial and mathematical formulas. For actual contracts or commercial loans, official amortizations will depend on lender-specific terms, fees, and regulatory provisions.
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Calculated results are modeled based on standard scientific and mathematical formulas. Please verify with domain-specific technical documentation for specialized applications.