Fabrizio Campesi is trying to save for retirement, which will begin in 10 years, and currently has \($130,000\) in a savings account and \($340,000\) in stocks. In addition, he plans on adding to his savings by depositing \($8,000\) per year in his savings account at the end of each of the next 5 years and then \($15,000\) per year at the end of the final 5 years until retirement.

a. Assuming his savings account returns 6 percent, compounded annually, and his investment in stocks will return 9 percent compounded annually, how much will Fabrizio have at the end of 10 years? (Ignore taxes.)

b. If Fabrizio expects to live for 20 years after he retires, and at retirement he deposits all his savings in a bank account paying 9 percent, how much can he withdraw each year after retirement (20 equal withdrawals beginning 1 year after he retires) to end up with a zero balance upon his death?