Suppose your uncle is $40$ and has a plan to retire at age $60,$ but his fortune teller told him that he will live for forty more years. If he would like to have a steady income of $$150,000$ per year after his retirement and the interest rate will be $8\%$ compounded yearly at that time. How much must be set aside each year till his retirement to be able to achieve his goal if the interest rate is now $6\%$ compounded yearly?