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Money Growth Over Time Calculator

Future Value Formula:

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

$
%
years

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1. What Is Future Value Calculation?

Future Value calculation determines how much a present sum of money will grow over time when invested at a specific interest rate. It helps in financial planning and investment decision-making by projecting the growth of funds through compound interest.

2. How Does The Calculator Work?

The calculator uses the compound interest formula:

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

Where:

Explanation: The formula calculates how money grows exponentially over time due to 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: Understanding future value is essential for retirement planning, investment analysis, loan calculations, and making informed financial decisions about savings and investments.

4. Using The Calculator

Tips: Enter present value in dollars, annual interest rate as a percentage (e.g., 5 for 5%), and number of years. All values must be valid (PV > 0, rate ≥ 0, years ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is 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, leading to exponential growth.

Q2: How often is interest compounded in this calculator?
A: This calculator assumes annual compounding. For more frequent compounding (monthly, quarterly), the formula would need adjustment.

Q3: Can this calculator account for additional contributions?
A: No, this calculates future value for a single lump sum investment. For regular contributions, an annuity formula would be needed.

Q4: What is a realistic interest rate for long-term investments?
A: Historically, stock market returns average 7-10% annually, while bonds average 3-5%. The actual rate depends on investment type and risk tolerance.

Q5: How does inflation affect future value calculations?
A: Future value shows nominal growth. To understand purchasing power, subtract expected inflation from the interest rate to get real returns.

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