Suppose that you start a savings account today with $ 265,000.00, from which you will make a single withdrawal for $ 180,000.00 within 15 months. Determine how much money you will have in the account in 3 years if the account pays interest as follows: In the first 6 months at a rate of 5% quarterly compounded continuously; in the next 9 months at an interest rate of 16% per annum compounded quarterly; and in the remaining months at a simple interest rate of 2% effective monthly.
I. Suppose that you start a savings account today with $ 265,000.00, from which you will make a single withdrawal for $ 180,000.00 within 15 months. Determine how much money you will have in the account in 3 years if the account pays interest as follows: In the first 6 months at a rate of 5% quarterly compounded continuously; in the next 9 months at an interest rate of 16% per annum compounded quarterly; and in the remaining months at a simple interest rate of 2% effective monthly. Also determine the total interest the account earns during those 2 years. MAKE A CASH FLOW CHART. II.Consider now that the account referred to in Problem I pays effective monthly compound interest at a constant rate from the opening of the account onwards. Then determine the numerical value of the rate that would produce the same effect on the account as that obtained from the way interest is paid in Problem I.
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