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Mrs. A is 26 years old. She plans to retire at age 61. In her retirement, she plans to live off her pension income, at

Mrs. A is 26 years old. She plans to retire at age 61. In her retirement, she plans to live off her pension income, at $99,357 a year. Assuming that her pension account can generate a 10% annual interest for her lifetime, and she plans to live to 93. She will withdraw the pension income at the beginning of each year. If she and her employer together make a contribution to her pension account at the end of each month between now (age 26) and the day she retires (age 61), what should be the minimum amount of this combined contribution? (Note that over-rounding may give you a significant rounding error. So round to at least 6 decimal places throughout your calculation to avoid getting the answer wrong.)

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