申論題

4.Suppose that you currently have $40,000 invested in a savings account earning 3% per year compounded continuously. Market conditions are improving and you decide to continuously transfer 15% of the balance of your savings account into a stock fund earning 12% per year. You also withdraw $5,000 from the savings account each year for expenses.

(2)How long does it take for the savings account to be exhausted? How much money is in the stock fund at this time point?