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You are 22 years old and make 100,000$ per year. You put 6000$ into an account each year for the next 10 years. You believe you can increase the amount to 9600$ each year for the next 10 years, and finally to 12,000$ each year for the remaining time until you turn 50. You want to retire when you turn 50 years old. By then, you want to be able to draw a check from your retirement of 48,000$ per year for the next 20 years. You will then settle down and only draw 36,000$ per year for the rest of your life. The expected lifespan is 85 years. You do not put any money in the account after you turn 50. How much short or in excess are you to achieving your goal of having all the money needed for the payout schedule as defined above? The interest rate is 6.19% compounded annually. SHow your work.

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