Cynthia is a financial planner. One of her clients, Roger, wants to review his retirement plan.He has already saved $520,000 in a 401K account.Roger wants to retire at the age of 65 (25 years from now) and feels that he can save $30,000 per year starting next year.The life expectancy for someone in Roger's condition is 85 years.You believe that Roger will earn 6.5% per year on his savings.

a.If he starts withdrawing money one year after his retirement, what is the maximum amount he can withdraw each year until he reaches 85?

b.Roger tells Cynthia that he wants to contribute $100,000 to his local public radio station at his retirement time.How much can he withdraw each year in this case?