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Annual Equivalent Worth Calculator

Annual Equivalent Worth Formula:

\[ AEW = \frac{PW \times i}{1 - (1 + i)^{-n}} \]

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1. What is Annual Equivalent Worth?

Annual Equivalent Worth (AEW) is a financial metric used to convert a present worth amount into an equivalent annual amount over a specified period, considering a given interest rate. It helps in comparing investment alternatives with different time horizons.

2. How Does the Calculator Work?

The calculator uses the AEW formula:

\[ AEW = \frac{PW \times i}{1 - (1 + i)^{-n}} \]

Where:

Explanation: The formula converts a present value into an equivalent annual amount that, if received each year for n years, would have the same present value as the original amount.

3. Importance of AEW Calculation

Details: AEW is crucial for investment analysis, capital budgeting, and comparing projects with different lifespans. It helps decision-makers evaluate the annual cost or benefit of investments on a comparable basis.

4. Using the Calculator

Tips: Enter present worth in currency units, interest rate as a percentage, and number of years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between AEW and annual worth?
A: AEW specifically refers to converting a present worth to an equivalent annual amount, while annual worth can refer to various annualized financial metrics.

Q2: When should I use AEW analysis?
A: Use AEW when comparing investment alternatives with different time periods or when you need to understand the annual equivalent cost/benefit of a lump sum investment.

Q3: How does interest rate affect AEW?
A: Higher interest rates generally result in higher AEW values, as the time value of money has a greater impact on the conversion from present to annual worth.

Q4: Can AEW be negative?
A: Yes, if the present worth represents a cost or negative cash flow, the AEW will also be negative, indicating an annual equivalent cost.

Q5: What are the limitations of AEW analysis?
A: AEW assumes constant interest rates and regular annual payments. It may not accurately represent situations with variable cash flows or changing interest rates.

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