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How Are Lump Sum Payments Calculated

Future Value Formula:

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

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1. What is a Lump Sum Payment Calculator?

Definition: This calculator determines the future value of a lump sum investment based on compound interest.

Purpose: It helps investors understand how their money can grow over time with a single investment.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Lump Sum Calculations

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

4. Using the Calculator

Tips: Enter the principal amount, interest rate (e.g., 5% = 0.05), and number of 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 calculates on the principal only, while compound interest calculates on principal plus accumulated interest.

Q2: How often is the interest compounded in this calculator?
A: This calculator assumes annual compounding. For different compounding periods, the formula would need adjustment.

Q3: What's a typical interest rate for investments?
A: This varies widely - stocks average 7-10%, bonds 2-5%, savings accounts 0.5-2% annually (before inflation).

Q4: How does inflation affect these calculations?
A: Inflation reduces purchasing power. For real returns, subtract inflation rate from the interest rate.

Q5: Can I calculate present value with this formula?
A: Yes, by rearranging the formula: \( P = \frac{FV}{(1 + r)^n} \) to determine needed principal for a future goal.

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