Compound Withdrawal Formula:
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The Compound Withdrawal Formula calculates the future value of an investment account that earns compound interest while making regular withdrawals. It helps investors understand how their savings will grow or deplete over time with periodic withdrawals.
The calculator uses the compound withdrawal formula:
Where:
Explanation: The formula calculates the compounded growth of the principal minus the compounded effect of regular withdrawals.
Details: This calculation is crucial for retirement planning, investment strategy, and understanding how regular withdrawals affect long-term savings growth.
Tips: Enter principal in dollars, rate as a decimal (e.g., 0.05 for 5%), number of periods, and withdrawal amount per period. All values must be valid (principal > 0, rate ≥ 0, periods ≥ 1, withdrawal ≥ 0).
Q1: What happens if withdrawal amount exceeds investment growth?
A: The future value will decrease over time, potentially depleting the principal if withdrawals are too high relative to the growth rate.
Q2: Can this formula handle different compounding frequencies?
A: Yes, by adjusting the rate and periods accordingly. For annual compounding with monthly withdrawals, convert appropriately.
Q3: What's the difference between this and annuity formulas?
A: This formula calculates remaining balance after withdrawals, while annuity formulas typically calculate payment amounts.
Q4: How does this apply to retirement planning?
A: It helps retirees determine sustainable withdrawal rates that won't deplete their savings during retirement.
Q5: What if the interest rate is zero?
A: The formula simplifies to FV = P - (W × n), as there's no compounding effect.