(Calculating the future value of an annuity and annuity payments) You are trying to plan for retirement in 10 years, and, currently, you have $150,000 in a savings account and $250,000 in stocks. In addition, you plan to deposit $8,000 per year into your savings account at the end of each of the next five years and then $10,000 per year at the end of each year for the final five years until you retire.

a. Assuming your savings account returns 8 percent compounded annually and your investment in stocks returns 12 percent compounded annually, how much will you have at the end of 10 years?

b. If you expect to live for 20 years after you retire and at retirement you deposit all of your savings in a bank account paying 11 percent, how much can you withdraw each year after you retire (making 20 equal withdrawals beginning one year after you retire) so that you end up with a zero balance at death?