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The problem you provided asks for the calculation of withdrawals from a retirement account, given certain parameters. Let's solve it step-by-step.

### Problem Summary:
- Initial savings: **$400,000**
- Interest rate: **4% annually** (compounded)
- Withdrawal period: **15 years**
- Goal: Calculate **equal annual withdrawals** over 15 years.

This is a **present value of annuity problem**. We need to calculate the amount you can withdraw every year if the balance earns 4% annual interest and is completely depleted after 15 years.

---

### Formula:  
\[
PV = P \times \left(1 - (1 + r)^{-n}\right) / r
\]

Where:
- $PV$ = Present Value (initial savings) = **400,000**
- $P$ = Annual withdrawal (this is what we need to find)
- $r$ = Interest rate per period = **0.04**
- $n$ = Number of periods (years) = **15**

Rearrange the formula to solve for $P$ (withdrawal amount):
\[
P = \frac{PV \times r}{1 - (1 + r)^{-n}}
\]

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### Step-by-Step Calculation:
1. **Substitute the known values:**
   \[
   P = \frac{400,000 \times 0.04}{1 - (1.04)^{-15}}
   \]

2. **Calculate the terms:**
   - $1.04^{-15} \approx 0.5553$
   - $1 - 0.5553 = 0.4447$

3. **Now divide:**
   \[
   P = \frac{400,000 \times 0.04}{0.4447}
   \]

4. **Final calculation:**
   \[
   P \approx \frac{16,000}{0.4447} \approx 35,977.47
   \]

---

### Answer:
You can withdraw **$35,977.47** per year for 15 years.

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Let me know if you need more details or further clarifications!

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Here are 5 questions to expand your understanding:
1. What happens if the interest rate is compounded monthly instead of annually?
2. How would increasing the withdrawal period to 20 years affect the withdrawal amount?
3. What is the formula for calculating future value with annuities?
4. How would an increase in the interest rate to 5% impact the withdrawals?
5. How does inflation affect the purchasing power of these fixed withdrawals over time?

**Tip:** An annuity calculator or spreadsheet (like Excel) makes these types of retirement calculations easier!

You have $400,000 saved for retirement. Your account earns 4% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 15 years?

Learn how to calculate annual withdrawals from a $400,000 retirement fund earning 4% interest over 15 years. This step-by-step solution uses the present value of annuity formula to determine how much you can withdraw each year while depleting the account completely by the end of the term.

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