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Future Value Calculator With Monthly Deposits

Future Value Formula:

\[ FV = P (1 + r/12)^{12 n} + D × \frac{(1 + r/12)^{12 n} - 1}{r/12} \]

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1. What is Future Value With Monthly Deposits?

The Future Value calculation with monthly deposits determines how much an investment will grow over time when you make regular monthly contributions, accounting for compound interest.

2. How Does the Calculator Work?

The calculator uses the future value formula:

\[ FV = P (1 + r/12)^{12 n} + D × \frac{(1 + r/12)^{12 n} - 1}{r/12} \]

Where:

Explanation: The formula calculates compound interest on both the initial principal and the series of monthly deposits.

3. Importance of Future Value Calculation

Details: Understanding future value helps with financial planning, retirement savings goals, and comparing different investment options.

4. Using the Calculator

Tips: Enter the initial investment amount, annual interest rate (as decimal), number of years, and monthly deposit amount. All values must be non-negative.

5. Frequently Asked Questions (FAQ)

Q1: How does compounding frequency affect results?
A: Monthly compounding (as used here) typically yields slightly higher returns than annual compounding due to more frequent interest application.

Q2: What's the difference between this and simple future value?
A: This calculation includes both the initial investment and regular monthly contributions, while simple future value only considers the initial amount.

Q3: How important is the monthly deposit amount?
A: Regular deposits often contribute more to final value than the initial principal, especially over longer time periods.

Q4: Should I include inflation in my calculations?
A: For real (inflation-adjusted) returns, use a real interest rate (nominal rate minus inflation rate).

Q5: How accurate are these projections?
A: Projections assume constant returns and regular deposits. Actual results may vary due to market fluctuations and deposit timing.

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