Future Value Calculator – Compute FV of Investment Online

Calculate the future value of any investment or savings with our free online future value calculator. Account for compound interest and time to see how your money grows.

Present Value (PV)

Annual Interest Rate (%)

Time Period

Compounding Frequency

Examples:

Understanding Future Value

Future value tells you what your money will be worth at some point in the future, assuming a specific rate of return. It's one of the most important concepts in finance because it helps you understand how investments grow over time through compound interest.

Compound interest means you earn interest not just on your original investment, but also on the interest that accumulates. This creates a snowball effect – your money grows faster and faster as time goes on. The more frequently interest compounds, the more you earn.

The Future Value Formula

FV = PV × (1 + r/n)^(nt)

FV = Future Value (what your investment will be worth)

PV = Present Value (your initial investment)

r = Annual interest rate (as a decimal, so 7% = 0.07)

n = Number of compounding periods per year

t = Time in years

The effective annual rate (EAR) shows the true annual return when compounding is taken into account. It's always higher than the nominal rate when compounding occurs more than once per year.

Worked Examples

Example 1: $5,000 at 7% for 10 years (monthly compounding)

PV = $5,000, r = 0.07, n = 12, t = 10

FV = 5000 × (1 + 0.07/12)^(12×10)

FV = 5000 × (1.005833)^120

FV = 5000 × 2.00966

FV = $10,048.30

Interest earned: $5,048.30 (101% return)

Example 2: $10,000 at 5% for 20 years (annual compounding)

PV = $10,000, r = 0.05, n = 1, t = 20

FV = 10000 × (1 + 0.05/1)^(1×20)

FV = 10000 × (1.05)^20

FV = 10000 × 2.6533

FV = $26,532.98

Interest earned: $16,532.98 (165% return)

Example 3: The Power of Starting Early

Person A: Invests $5,000 at age 25, earns 8% until age 65

FV = 5000 × (1.08)^40 = $108,622.56

Person B: Invests $5,000 at age 35, earns 8% until age 65

FV = 5000 × (1.08)^30 = $50,313.28

Same investment, 10-year head start = $58,309 more! Time is your biggest ally.

Example 4: Effect of Compounding Frequency

$10,000 at 6% for 10 years with different compounding:

Annual: $10,000 × (1.06)^10 = $17,908.48

Quarterly: $10,000 × (1.015)^40 = $18,140.18

Monthly: $10,000 × (1.005)^120 = $18,193.97

Daily: $10,000 × (1.000164)^3650 = $18,220.29

More frequent compounding = more money, but the difference diminishes.

Quick Fact

Albert Einstein reportedly called compound interest "the eighth wonder of the world" and said "he who understands it, earns it; he who doesn't, pays it." While the quote's authenticity is debated, it captures the transformative power of compound growth.

Frequently Asked Questions

What's the difference between simple and compound interest?

Simple interest is calculated only on the original principal. Compound interest is calculated on the principal plus accumulated interest. Over time, compound interest grows much faster. $1,000 at 5% for 20 years: simple = $2,000, compound = $2,653.

How does compounding frequency affect returns?

More frequent compounding means slightly higher returns because interest starts earning interest sooner. The difference between annual and monthly compounding at typical rates is small but real. Daily compounding is very close to the theoretical maximum (continuous compounding).

What's a good rate of return to assume?

Historically, the stock market averages about 10% annually (before inflation). Conservative investments like bonds return 3-5%. CDs and savings accounts typically offer 1-4%. Always use realistic rates for your specific investment type.

How does inflation affect future value?

Inflation reduces purchasing power. A 3% inflation rate means prices double every 24 years. To find real (inflation-adjusted) future value, subtract inflation from your return rate. A 7% return with 3% inflation gives about 4% real growth.

What's the Rule of 72?

Divide 72 by your interest rate to estimate how many years it takes to double your money. At 6%, money doubles in 72/6 = 12 years. At 9%, it doubles in 8 years. It's a quick mental math trick for compound growth.

Should I use nominal or effective rate?

Use the nominal (stated) rate in the formula with the correct compounding frequency. The calculator will show you the effective rate, which is the true annual return after accounting for compounding.

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