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(A) You have exactly 40 years until retirement. Today, you have the total retirement savings of $25,000 invested in a stock fund earning 10% return

(A) You have exactly 40 years until retirement. Today, you have the total retirement savings of $25,000 invested in a stock fund earning 10% return every year. You plan to keep that money in the same stock fund until your retirement. On top of that, you expect that for the next 40 years, you will be contributing to a retirement account earning 7% return per year (i.e. slightly below the typical return US stock have generated over long-term horizons throughout the history of US markets). You will be making deposits just once every year. You will deposit your first payment (C=$7,000) into your retirement account exactly one year from today. All your subsequent deposits will grow by 5% per year from your original deposit (so, your second years deposit will be $C*(1+g), etc.). The last deposit will be made exactly 40 years from today. How much money will you retire with on the day of your retirement? B) After you retire, you will transfer all your retirement money into a more conservative account earning 3% per year. You will be withdrawing your money for the next 30 years (after which the retirement account will have $0 balance). You want your first annual withdrawal (1 year after you retire) to be $C. All subsequent withdrawals will be the same $C. What will be $C, i.e. the dollar value of your annual (post retirement)

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