Compounded monthly on an available investment

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A company offers you employment for the next 30 years until retirement but will not pay you a pension when you do retire, so you start investing now for your retirement. You know you can earn 5% compounded monthly on an available investment for the next 30 years until you retire. During retirement you will earn 6% compounded annually on any funds remaining in the investment, and you expect to withdraw $110.000 at the end of each year of your retirement. If you anticipate living 20 years in retirement, how much of your salary as a minimum would you have to invest at the end of each year until retirement?

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