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in 20 years, you plan to set up a retirement fund that pays you $20,000/year at the end of each year forever with an annually

in 20 years, you plan to set up a retirement fund that pays you $20,000/year at the end of each year forever with an annually compounded discount rate of 8%. In order to set up the fund in 20 years, how much do you need to save at the end of each month (starting this month and total 240 savings) assuming you can get a semi-annually compounded return of 10% on your savings for the next 20 years?

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