OUR TOPIC IS ANNUITY AND EFFECTIVE RATE PLEASE DRAW THE CASH FLOW DIAGRAM FOR EACH QUESTION $1$ You have decided that upon retirement you will buy a mansion in Hawaii with cold cash after $13$ years. How much do you need to save every year starting next year to have $$440,558$ by then if the interest rate is $8\mathrm{.}1\%?$ Round your answer to $2$ decimal places. $2$ Lourdes has just retired and plans to consume $$13,975$ from the retirement account every year for the next $13$ years starting one year from today, meeting the rest of the expenses from other resources. If the annual interest rate is $9\mathrm{.}6\%$ compounded semiannually, how much does Lourdes have in the retirement account today? Round off interest rate to six decimal places. Round your answer to $2$ decimal places. $3$ A man bought a Ford vintage car for Php $467,264$ on installment basis at the rate of $1296$ per year compounded quarterly on the unpaid balance. If he paid a down payment of Php $122,900$ in cash and proposes to pay the balance in $22$ quarterly payments, what should this payment be$?$ Round off interest rate to five decimal places. Round your answer to $2$ decimal places. $4$ A housewife bought a brand new washing machine costing Php $15,000$ if paid in cash. However, she can purchase it on installment basis to be paid within $8$ years. If money is worth $8\mathrm{.}83\%$ compounded annually, what is her yearly amortization if all payments are to be made at the end of each year? Round your answer to $2$ decimal places.