You have $300,000 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?

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### Retirement Savings Withdrawal Calculation

**Scenario:**  
You have $300,000 saved for retirement. Your account earns an annual interest rate of 4%.

**Question:**  
How much will you be able to withdraw each month if you want to make withdrawals for 15 years?

**Input Required:**
- Enter your answer in the provided space: $[amount]

---

**Explanation:**

To solve this problem, you can use the formula for calculating monthly withdrawals from a retirement fund, which takes into account regular withdrawals, interest rate, and time period.

The formula to calculate the monthly withdrawal amount is derived from the annuity formula:

\[ 
PMT = \frac{P \times \frac{r}{n}}{1 - (1 + \frac{r}{n})^{-nt}}
\]

Where:
- \( PMT \) = monthly withdrawal amount
- \( P \) = initial principal (total savings), $300,000
- \( r \) = annual interest rate (4% or 0.04)
- \( n \) = number of compounding periods per year (12 for monthly)
- \( t \) = total number of years (15)

Substitute the values into the formula to find the monthly withdrawal amount.
Transcribed Image Text:### Retirement Savings Withdrawal Calculation **Scenario:** You have $300,000 saved for retirement. Your account earns an annual interest rate of 4%. **Question:** How much will you be able to withdraw each month if you want to make withdrawals for 15 years? **Input Required:** - Enter your answer in the provided space: $[amount] --- **Explanation:** To solve this problem, you can use the formula for calculating monthly withdrawals from a retirement fund, which takes into account regular withdrawals, interest rate, and time period. The formula to calculate the monthly withdrawal amount is derived from the annuity formula: \[ PMT = \frac{P \times \frac{r}{n}}{1 - (1 + \frac{r}{n})^{-nt}} \] Where: - \( PMT \) = monthly withdrawal amount - \( P \) = initial principal (total savings), $300,000 - \( r \) = annual interest rate (4% or 0.04) - \( n \) = number of compounding periods per year (12 for monthly) - \( t \) = total number of years (15) Substitute the values into the formula to find the monthly withdrawal amount.
**Question 6**

You want to be able to withdraw $35,000 each year for 30 years. Your account earns 5% interest.

a) How much do you need in your account at the beginning?
- [Input field for amount]

b) How much total money will you pull out of the account?
- [Input field for amount]

c) How much of that money is interest?
- [Input field for amount]

**Question Help:**
- [Video 1]
- [Video 2]

[Submit Question]

---

*There are no graphs or diagrams present in the image.*
Transcribed Image Text:**Question 6** You want to be able to withdraw $35,000 each year for 30 years. Your account earns 5% interest. a) How much do you need in your account at the beginning? - [Input field for amount] b) How much total money will you pull out of the account? - [Input field for amount] c) How much of that money is interest? - [Input field for amount] **Question Help:** - [Video 1] - [Video 2] [Submit Question] --- *There are no graphs or diagrams present in the image.*
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