Master compound interest calculations in Excel to accurately project investment growth, savings returns, and financial planning scenarios. This comprehensive guide covers the FV function, manual formulas, and real-world examples to help you understand how money grows over time.
Compound interest is the interest calculated on both the initial principal and the accumulated interest from previous periods. Unlike simple interest which only calculates on the principal, compound interest creates exponential growth over time—often called "interest on interest." This is the fundamental concept behind wealth building and why Albert Einstein allegedly called it "the eighth wonder of the world."
In Excel, you can calculate compound interest using the built-in FV (Future Value) function or create manual formulas for more complex scenarios. The compound interest formula in Excel helps investors, financial planners, and anyone managing money understand how investments will grow over time.
Key Concept:
The power of compound interest lies in time and frequency. The more frequently interest compounds (daily vs. annually) and the longer the investment period, the more dramatic the growth.
=FV(rate, nper, pmt, [pv], [type])=P * (1 + r/n)^(n*t)In Excel: =A1*(1+B1/C1)^(C1*D1)
Calculate the future value of a $10,000 investment at 6% annual interest, compounded monthly for 10 years.
Given:
Using FV Function:
=FV(0.06/12, 10*12, 0, -10000)Result: $18,194.25
Your $10,000 investment grows to $18,194.25, earning $8,194.25 in compound interest over 10 years.
Calculate savings growth with $5,000 initial deposit, $200 monthly contributions, 4% annual interest compounded monthly over 5 years.
=FV(0.04/12, 5*12, -200, -5000)Result: $18,584.43
Total contributions: $5,000 + ($200 × 60 months) = $17,000. Interest earned: $1,584.43
See how $1,000 grows at 5% for 20 years with different compounding frequencies:
| Frequency | Formula | Future Value |
|---|---|---|
| Annual (n=1) | =FV(0.05/1, 20*1, 0, -1000) | $2,653.30 |
| Quarterly (n=4) | =FV(0.05/4, 20*4, 0, -1000) | $2,701.48 |
| Monthly (n=12) | =FV(0.05/12, 20*12, 0, -1000) | $2,712.64 |
| Daily (n=365) | =FV(0.05/365, 20*365, 0, -1000) | $2,718.03 |
Notice how more frequent compounding leads to higher returns. Daily compounding yields $64.73 more than annual compounding over 20 years.
Interest calculated on principal + accumulated interest. Growth is exponential.
=FV(rate, nper, 0, -principal)Interest calculated only on principal. Growth is linear.
=principal * (1 + rate * years)Example: $10,000 at 5% for 20 years
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