You just celebrated your $20$th birthday, and you decide it is a good time to start investing for your retirement at age $65.$ You have decided to start by determining how much you will need. You figure you will need approximately $$75,000$ per year during retirement until you turn $80,$ and then you expect to need $$90,000$ per year $($to cover additional medical and support needs$)$ until the end of your life. Given your family history, you expect to live until $95.$ After you retire, you want to make your first withdrawal on the first day of your retirement and continue to withdraw your funds at the beginning of each year thereafter. During retirement, you estimate that your funds will earn $2\mathrm{.}5\%$ per year. Prior to retirement, you expect to earn a rate of $15\%$ per year based on monthly retirement and plan to make deposits at the end of every two weeks when you receive your paycheque $($you are paid bi$-$weekly, $26$ times a year$).$

i$.$How much will you need to have saved up by the time you retire?

ii$.$How much will you need to contribute, starting in two weeks, if you want to achieve your retirement goals?