A junior employee, who just turned 25, decides to set up a personal retirement fund to supplement her government-funded pension plan during her first 20 years of retirement. She wants to have an annual income of $50,000 starting when she turns 65 and ending on her 84th birthday.

a. What lump sum must she invest today at 6 percent in order to achieve her retirement plan?

b. How much must she invest each month at 6 percent starting now until she retires in order to achieve her retirement plan?