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A person has $800000 in a retirement account, X. The retirement account, X, earns an annual effective rate of interest of i= 6.9%. The
A person has $800000 in a retirement account, X. The retirement account, X, earns an annual effective rate of interest of i= 6.9%. The person is planning on retiring in 5 years. They wish to gradually transfer their retirement account money into a safer investment. At the end of each year for the next 5 years, the person withdraws from account X, the interest earned during the year and also withdraws an additional $800000 / 5 and places the money withdrawn into a safer investment account, Y, earning an annual effective rate of j = 3.3% interest. Determine the amount in account Y at time t-5. Hint: This is the future value of a (PQ) annuity-immediate with P = $800000 / 5 + $800000*6.9% and Q = - $800000/5*6.9%. Enter your answer to the nearest cent.
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