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You can download the prepared Excel file with the financial projection table from the link below:

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The full table displays the financial projection over 60 years, including:

**Year**: Ranging from 1 to 60.**Beginning Balance**: Starting balance of the account each year.**Savings This Year**: Amount saved or withdrawn each year. For the first 30 years, this amount increases by 3% annually from an initial $8,000. For the next 30 years, it's a withdrawal of$100,000 annually.**Investment Gain**: Annual gain based on the 8% investment return rate.**Ending Balance**: The account balance at the end of each year, considering the beginning balance, savings or withdrawals, and investment gains.

The table begins with a $0 beginning balance and an$8,000 savings in the first year, leading to an ending balance of $8,000. Over the years, the savings increase due to the annual growth rate, and the investment gains contribute to the account's growth. After 30 years of savings, withdrawals of$100,000 per year begin, gradually reducing the account balance. The table concludes with the 60th year, showing a significant decrease in the ending balance due to the annual withdrawals.

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The mean ending balance from the 1,000 simulations is approximately $1,708,901, and the median ending balance is approximately$-1,443,172. This suggests a wide range of outcomes, with the median indicating that in many simulations, the ending balance is negative, reflecting the high volatility introduced by the standard deviation of the returns.

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The simulation of the retirement savings plan, with returns drawn from a normal distribution with a mean of 8% and a standard deviation of 15%, resulted in the following findings:

**Mean Ending Balance**: Approximately $1,708,901**Median Ending Balance**: Approximately $-1,443,172

This indicates a wide variance in outcomes, with the median suggesting that many simulations end with a negative balance, highlighting the impact of investment return volatility.

The histogram of the 1,000 ending balances shows a broad distribution, with the mean and median marked for reference. The presence of negative balances in the distribution underscores the risk associated with the assumed level of volatility.

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