Enter the interest rate, withdrawal amount, and initial balance into the calculator to determine how the balance evolves over time.
Related Calculators
- How Long Will My Money Last Calculator
- Yearly Interest Calculator
- Past Value Calculator
- Annuity Exclusion Ratio Calculator
- All Personal Finance Calculators
Compound Withdrawal Formula
The following equation is used to calculate the Compound Withdrawal.
Bf = B0 * (1 + r)^t - W * ((1 + r)^t - 1) / r
- Where Bf is the final balance
- B0 is the initial balance
- r is the interest rate (decimal)
- W is the withdrawal amount each compounding period
- t is the number of compounding periods
To calculate a compound withdrawal, you first compute the compound growth on the balance, then subtract the sum of withdrawals adjusted for compound growth.
What is a Compound Withdrawal?
Definition:
A compound withdrawal scenario looks at how an account grows through compound interest while also accounting for periodic withdrawals. These withdrawals reduce the principal on which future interest is calculated, but the account may still grow if interest exceeds withdrawals.
How to Calculate Compound Withdrawal?
Example Problem:
The following example outlines the steps and information needed to calculate the Compound Withdrawal.
First, determine the initial balance. In this example, the initial balance is $10,000.
Next, determine the interest rate and number of compounding periods. Here, the interest rate is 5% annually, compounded once per year, for 10 years, so t = 10.
Next, determine the withdrawal amount. In this case, $500 is withdrawn at the end of each year.
Finally, calculate the final balance after 10 years using the formula above:
Bf = 10000 * (1 + 0.05)^10 – 500 * ((1 + 0.05)^10 – 1) / 0.05
Bf = 10000 * (1.05)^10 – 500 * (1.628894626777441 – 1) / 0.05
Bf = 10000 * 1.628894626777441 – 500 * 0.628894626777441 / 0.05
Bf ≈ 16288.946 – 500 * 12.57789253554882
Bf ≈ 16288.946 – 6289
Bf ≈ $10000
FAQ
How often are withdrawals taken in a compound withdrawal scenario?
The frequency of withdrawals can vary (monthly, annually, etc.), and will affect how the balance grows and declines over time. Commonly, withdrawals might be taken annually in retirement accounts, but they can be taken any number of times per year depending on the account.
Can additional contributions be made while withdrawals are occurring?
Yes, in many cases additional contributions can be made, and these contributions further complicate the balance calculation but can help maintain or grow the account. This calculator can factor in such contributions.
How can I ensure my account balance lasts as long as possible?
To maximize the longevity of an account, you can reduce withdrawal amounts, consider higher interest or growth rates (through potentially higher-risk investments), and manage fees associated with your account. A careful balance between withdrawals and ongoing compounding is key.