Future Value Formula:
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Future Value (FV) calculation is a financial concept that determines how much an investment made today will grow to at a future date, given a specified interest rate. It's based on the principle of compound interest, where interest is earned on both the initial principal and the accumulated interest from previous periods.
The calculator uses the Future Value formula:
Where:
Explanation: The formula calculates how much an initial investment (PV) will grow over time when compounded at a fixed interest rate (r) for a specified number of periods (n).
Details: Future Value calculations are essential for financial planning, retirement planning, investment analysis, and understanding how money grows over time through compounding. It helps individuals and businesses make informed decisions about savings and investments.
Tips: Enter the present value in dollars, interest rate as a decimal (e.g., 0.05 for 5%), and number of years. All values must be valid (PV > 0, rate ≥ 0, years ≥ 1).
Q1: What's the difference between simple and compound interest?
A: Simple interest is calculated only on the principal amount, while compound interest is calculated on both the principal and accumulated interest, leading to exponential growth.
Q2: How does compounding frequency affect future value?
A: More frequent compounding (monthly vs. annually) results in higher future values because interest is calculated and added to the principal more often.
Q3: Can this calculator handle different compounding periods?
A: This calculator assumes annual compounding. For different compounding periods, the formula would need to be adjusted.
Q4: What is the rule of 72?
A: The rule of 72 is a quick way to estimate how long it takes for an investment to double: divide 72 by the interest rate. For example, at 6% interest, it takes about 12 years to double your money.
Q5: How does inflation affect future value calculations?
A: Future value calculations typically don't account for inflation. To determine real purchasing power, you would need to adjust for expected inflation rates.