You made a deposit of $$200$ in your bank account today and you plan to make a further deposit of $$20$ per month for three months starting from three months' time. Starting from six months from today, you plan to withdraw $$30$ per month for the next three months. At the end of the year how much money do you have in your bank account assuming that the bank gives you an interest rate of $3\%$ per month. Draw the cash flow diagram. $($Hint: An interest rate of $3\%$ per month means an interest rate of $3\%$ per month compounded monthly.$)$