Someday you hope to retire and have $$200,000$ of income a year in today$$s dollars. You want to fund $25$ years of retirement. During retirement, your investments will earn $4\%$ annually. In the $30$ years before retirement, your investments will earn $9\%$ annually. The estimated inflation rate over the entire period is $3\%$ annually. Assuming all payments are at the end of the period and that all numbers are given in nominal terms unless otherwise stated. How much do you have to save annually during the $30$ years before retirement to achieve your goal?