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Future Value Formula Calculator

Future Value Formula:

\[ FV = PV \times (1 + r)^t \]

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1. What is the Future Value Formula?

The Future Value (FV) formula calculates how much an investment made today (present value) will grow to at a future date, given a specified interest rate and time period. It's fundamental in finance for evaluating investment opportunities and comparing different financial scenarios.

2. How Does the Calculator Work?

The calculator uses the Future Value formula:

\[ FV = PV \times (1 + r)^t \]

Where:

Explanation: The formula accounts for compound interest, where interest earned each period is added to the principal for the next period's interest calculation.

3. Importance of Future Value Calculation

Details: Future Value calculations help investors understand the potential growth of their investments, compare different investment options, and plan for financial goals like retirement or education funding.

4. Using the Calculator

Tips: Enter present value in USD, interest rate as a decimal (e.g., 0.05 for 5%), and time period in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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 the principal plus accumulated interest.

Q2: How does compounding frequency affect future value?
A: More frequent compounding (e.g., monthly vs. annually) results in higher future values due to interest being calculated more often.

Q3: What's a typical range for interest rates?
A: Rates vary widely - savings accounts might offer 0.5%-2%, bonds 2%-5%, and stocks historically average 7%-10% annually.

Q4: Can this formula be used for inflation calculations?
A: Yes, you can use it to see how inflation reduces purchasing power by using the inflation rate as the interest rate.

Q5: How accurate are future value projections?
A: They're mathematical projections assuming constant rates. Actual returns may vary due to market fluctuations and changing rates.

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