Individual A just turned 30 years old, have just received your MBA, and have accepted your first job. He must decide how much money to put into its retirement plan. The plan works as follows: Every dollar in the plan earns 7% per year. You cannot make withdrawals until he retires on his sixty-fifth birthday. After that point, individual A can make withdrawals as he sees fit.

Individual A decides that he will plan to live to 100 and work until hi turns 65. He estimates that to live comfortably in retirement, he'll need $100,000 per year starting at the end of the first year of retirement and ending on his one-hundredth birthday.

Individual A will contribute the same amount to the plan at the end of every year that you work.

(a) How much does Individual A need to contribute each year to fund his retirement? The situation above is not very realistic because most retirement plans do not allow you to specify a fixed amount to contribute every year. Instead, you are required to specify a fixed percentage of your salary that you want to contribute. Assume that your starting salary is $75,000 per year and it will grow 2% per year until you retire.

(b) Assuming everything else stays the same as in the previous question, what percentage of his income does he need to contribute to the plan every year to fund the same retirement income?