Build live 2026 estimates with USA, UK, metric, and imperial options for future value calculator.
A Future Value (FV) calculator tells you what a sum of money today — or a series of regular deposits — will be worth in the future after earning a given rate of return. It's the foundation of retirement planning, college savings, and any goal where compounding works for you over time.
Lump sum (no ongoing deposits):
FV = PV × (1 + r/n)n·t
Annuity (regular deposits):
FV = PMT × [((1 + r/n)n·t − 1) / (r/n)]
Use FV for 401(k) projections, Roth IRA growth, and 529 college savings. Key defaults: S&P 500 historical nominal return ≈ 10% (7% real after inflation). 401(k) 2026 contribution limit is $23,500 ($31,000 if 50+). Roth IRA limit is $7,000 ($8,000 if 50+).
Use FV for Stocks & Shares ISA projections, SIPP (pension) growth, and Junior ISA planning. FTSE All-Share historical nominal return ≈ 7% (4–5% real). 2026 ISA allowance is £20,000/year; Junior ISA is £9,000; SIPP tax-relieved contribution is up to 100% of earnings or £60,000 whichever is lower.
Compounding monthly vs annually makes a modest but real difference. £10,000 at 5% for 20 years:
The difference is real but small — don't pick a savings account purely on compounding frequency; the rate itself matters far more.
A FV of £500k in 2055 sounds huge today but if inflation averages 2.5%, it's worth only about £240k in today's purchasing power. Always plan using a real (inflation-adjusted) rate of return — typically 4–5% for a balanced portfolio.
For long-term equity investing, 7% nominal (4% real) is a conservative UK assumption, 8% nominal (5% real) for US. For cash savings, use the current best-buy rate. For mixed portfolios, something in between.
Most calculators (and pension schemes) assume end-of-period deposits (annuity-immediate). Paying at the start (annuity-due) gives slightly higher FV — set your DDs to go in on the 1st rather than the 28th if you want every percentage point.
The 4% rule suggests you need ~25× your annual spending. If you spend £30k/year, target ~£750k. Use this FV calculator to see what monthly deposit gets you there at your chosen rate and time horizon.
No — the FV is gross. For taxable accounts, subtract your marginal tax rate from the gross return before projecting. For ISAs, Roth IRAs, and 401(k)s, the returns are tax-sheltered so gross FV is a reasonable estimate.
Yes — rearrange: PV = FV / (1+r)t. A Present Value calculator tells you what a future sum is worth in today's money at a given discount rate. We have one on the site — see the related tools.
This tool provides projected future values for informational purposes only and is not financial or investment advice. Actual returns vary with market performance, contribution timing, fees, taxes, inflation, and provider rules.
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Future Value (FV) is the value of a current asset or investment at a specified date in the future, based on an assumed rate of growth or return. It is one of the core concepts in time value of money (TVM) theory, which underpins all of corporate finance, investment analysis, and personal financial planning. The central insight is that money available today is worth more than the same amount in the future, because today's money can be invested and grow over time. Future value calculations allow you to project what your savings, investments, or pension contributions will be worth at a future date.
Future value analysis is essential for retirement planning (How much will my 401k or ISA be worth at age 65?), goal setting (Will I have enough for a house deposit in 5 years?), and comparing investment options (Which savings product grows my money faster?). Both US and UK financial planning frameworks – from CERTIFIED FINANCIAL PLANNER (CFP) education to UK Chartered Financial Planner (CFA) training – require deep competency in future value calculations.
The future value of a single lump sum invested today is:
FV = PV × (1 + r)^n
Where PV is the present value (initial investment), r is the interest rate per compounding period, and n is the number of compounding periods. For example, £10,000 invested at 5% annual interest for 20 years: FV = £10,000 × (1.05)^20 = £10,000 × 2.6533 = £26,533. The initial £10,000 has grown to £26,533 – a gain of £16,533 entirely from compound interest over 20 years.
If compounding occurs more frequently than annually (monthly, daily), adjust the formula: r becomes the rate per period (annual rate / compounding periods per year), and n becomes total periods (years × compounding periods per year). Monthly compounding at 5% over 20 years: r = 0.05/12 = 0.004167, n = 240. FV = £10,000 × (1.004167)^240 = £27,126. Monthly compounding adds an extra £593 over 20 years compared to annual compounding.
An annuity is a series of equal, periodic payments. The future value of a regular series of investments (contributions to a savings account, pension, or investment account) is:
FV = PMT × [(1 + r)^n − 1] / r
Where PMT is the regular payment amount, r is the rate per period, and n is the number of periods. If you invest £500 per month at 6% annual interest for 30 years: r = 0.06/12 = 0.005, n = 360. FV = £500 × [(1.005)^360 − 1] / 0.005 = £500 × 1,004.52 = £502,258. Total contributions = £500 × 360 = £180,000. Growth from compound interest = £322,258 – nearly twice the total contributions.
This example illustrates why starting contributions early is so powerful. The same £500/month started at age 25 vs age 35 (retirement at 65) produces dramatically different outcomes:
| Start Age | Years Contributing | Total Contributed | Future Value at 65 (6% annual) |
|---|---|---|---|
| 25 | 40 years | £240,000 | ~£995,000 |
| 35 | 30 years | £180,000 | ~£502,000 |
| 45 | 20 years | £120,000 | ~£231,000 |
Starting 10 years earlier nearly doubles the final value despite contributing only 33% more money. The extra decade of compound growth explains the difference.
The Rule of 72 is a quick mental arithmetic shortcut for estimating how long it takes an investment to double at a given compound interest rate. Simply divide 72 by the annual interest rate:
Years to double = 72 / Annual Interest Rate (%)
At 6% annual return: 72 / 6 = 12 years to double. At 10%: 72 / 10 = 7.2 years. At 4%: 72 / 4 = 18 years. The Rule of 72 is accurate for rates between approximately 2% and 20% and provides a powerful intuitive grasp of compound growth. It can be applied in reverse: to determine what rate is needed to double money in a target period, divide 72 by the number of years: doubling in 8 years requires approximately 72 / 8 = 9% annual return.
The frequency of compounding significantly affects the future value of an investment. For a $10,000 principal at 6% nominal annual rate over 10 years:
| Compounding Frequency | Effective Annual Rate (APY) | Future Value after 10 years |
|---|---|---|
| Annual | 6.000% | $17,908 |
| Quarterly | 6.136% | $18,140 |
| Monthly | 6.168% | $18,194 |
| Daily | 6.183% | $18,220 |
| Continuous | 6.184% | $18,221 |
More frequent compounding produces marginally higher returns, but the differences become small as compounding moves from quarterly to monthly to daily. Annual compounding versus monthly compounding on a typical savings account creates a meaningful difference over 20-30 years, which is why APY/AER figures are important for comparison.
For US investors, future value calculations are central to retirement planning. A 401(k) or Traditional IRA allows pre-tax contributions that reduce current taxable income. Maximum contribution limits for 2024: $23,000 for 401(k) plans (plus $7,500 catch-up for those aged 50+); $7,000 for IRAs (plus $1,000 catch-up for 50+). Employer matching on 401(k) contributions – often 50-100% up to a certain percentage of salary – represents an immediate 50-100% return on contributed dollars before any investment growth, making it essential to capture the full match.
A 25-year-old investing the $23,000 annual 401(k) maximum for 40 years at 7% average annual return (a reasonable expectation for a diversified equity portfolio) would accumulate approximately $4.9 million by age 65 – from total contributions of $920,000 plus approximately $3.98 million in compound growth. Tax deferral further enhances this by allowing pre-tax dollars to compound without annual tax drag.
UK investors have two main tax-advantaged wrappers: the ISA (Individual Savings Account) and workplace pensions. The ISA allowance is £20,000 per year (2024/25), and all growth, income, and withdrawals from a Stocks and Shares ISA are tax-free indefinitely. A 30-year-old investing the full £20,000 ISA allowance per year for 35 years at 7% annual return would accumulate approximately £2.78 million tax-free at age 65.
Workplace pensions (auto-enrolled under the Pensions Act 2008) require minimum contributions of 8% of qualifying earnings (at least 3% employer, 5% employee including tax relief). The lifetime allowance charge was abolished from April 2024, removing a previous cap on pension pot size. Self-invested Personal Pensions (SIPPs) allow full control over investment choices and are popular with self-employed individuals and higher earners seeking additional pension savings beyond workplace schemes.
Nominal future value figures can be misleading because they do not account for inflation eroding purchasing power. To calculate real (inflation-adjusted) future value, use the real interest rate: Real rate ≈ Nominal rate − Inflation rate. If your investment earns 7% nominally and inflation averages 3%, the real rate is approximately 4%. £10,000 at 4% real over 20 years = £10,000 × (1.04)^20 = £21,911 in today's purchasing power. Always consider both nominal and real returns when projecting long-term investment outcomes to understand true wealth creation.
Future value and present value are two sides of the same equation. FV asks: what is today's money worth in the future? PV asks: what is future money worth today? They are used in complementary contexts. FV is used for savings/investment projections – projecting forward. PV is used for valuation – discounting future cash flows back to today. Together they form the foundation of net present value (NPV) analysis, discounted cash flow (DCF) valuation, and all investment appraisal methodologies used in both CFA curriculum (US) and ICAEW/ACCA professional accounting qualifications (UK).
The future value formula for a lump sum is FV = PV × (1 + r)^n, where PV is present value, r is the rate per compounding period, and n is the number of periods. For regular payments (annuity), the formula is FV = PMT × [(1 + r)^n − 1] / r. For example, £5,000 invested at 5% per year for 10 years: FV = £5,000 × (1.05)^10 = £5,000 × 1.6289 = £8,145.
The Rule of 72 estimates how many years it takes to double an investment. Divide 72 by the annual interest rate: at 8% annual return, your investment doubles in 72/8 = 9 years. At 6%, it doubles in 12 years. The rule is a quick mental shortcut accurate for rates between 2-20%. In reverse, to know what return is needed to double in 6 years: 72/6 = 12% required annual return.
At 5% annual interest compounded annually: £10,000 × (1.05)^20 = £26,533. At 7%: £10,000 × (1.07)^20 = £38,697. At 10%: £10,000 × (1.10)^20 = £67,275. The higher the interest rate and the longer the time period, the more dramatic the compounding effect. Monthly compounding at 5% produces £27,126 over 20 years versus £26,533 with annual compounding.
Future value (FV) projects today's money forward to a future date at a given growth rate. Present value (PV) discounts future money back to its worth today at a given discount rate. They are reciprocal: FV = PV × (1+r)^n; PV = FV / (1+r)^n. FV is used for savings projections (how much will I have?). PV is used for valuation (what is this future cash flow worth today?). Together they underpin NPV analysis, DCF valuation, and all time-value-of-money applications in finance.
Inflation reduces the purchasing power of future money. If your investment returns 7% nominally but inflation runs at 3%, your real return is approximately 4%. £10,000 growing to £26,533 over 20 years at 5% in nominal terms represents only £14,800 in today's purchasing power if inflation averages 3%. Always think in real terms for long-term planning. The goal is not to accumulate nominal pounds or dollars, but to grow real wealth that maintains or improves purchasing power.
Use the annuity formula rearranged: PMT = FV × r / [(1+r)^n − 1]. To accumulate £500,000 in 30 years at 6% annual return (monthly compounding, r = 0.005, n = 360): PMT = £500,000 × 0.005 / [(1.005)^360 − 1] = £2,500 / 900.47 = approximately £498 per month. This calculation is the foundation of retirement planning. Our future value calculator performs this projection automatically – enter your target future value, rate, and term to find the required monthly contribution.
For US stock market investments (S&P 500 index funds), 7-10% nominal per year is a commonly used long-run historical estimate. For UK equities (FTSE All-Share), 7-8% nominal is typical. For balanced portfolios (60% stocks, 40% bonds), 5-6% is more conservative. For cash savings and fixed-rate products in 2024, 4-5% is achievable. For long-term retirement projections, a real (inflation-adjusted) return of 4-5% for equities and 1-2% for bonds is more conservative and arguably more appropriate. Always stress-test projections using multiple rate assumptions.
A UK Stocks and Shares ISA allows you to invest up to £20,000 per tax year (2024/25) in equities, funds, bonds, and other assets. All gains, dividends, and withdrawals within the ISA are completely free from UK income tax and capital gains tax, forever – there is no lifetime limit on the accumulated value. This tax shelter significantly enhances long-term compounding. Switching investments within an ISA is also tax-free, unlike a general investment account where each disposal may trigger a CGT event. Over 30-40 years, the tax-free compounding can add hundreds of thousands of pounds to your final pot compared to an equivalent taxable account.