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Quang accumulates a fund by depositing $20,000 in a savings account that credits

ID: 2382793 • Letter: Q

Question

Quang accumulates a fund by depositing $20,000 in a savings account that credits interest at a nominal discount rate of 4.8% per year compounded quarterly. He leaves his money in this account to accumulate for 12 years, then moves it to a new account that is accumulating at 5.4% per year compounded continuously. At the time he moves his money to the new account he starts withdrawing it continuously at the rate of $8,000 per year. How many years will his money last after he starts withdrawing it from the new account?

Explanation / Answer

His money will last for 5 years after 5 years he will be left with only $ 1561.24

Deposit 20000 Interest rate per annum 4.80% Quarter rate of interest 1.2% Time duration 12 years Quarters 48 Future value                             35,456