SHOW CALCULATIONS

Q 2. Today is John Tardy's 45^th birthday and, despite his finance professor's advice, he hasn't started to save for retirement. John can't believe time has passed so quickly. John wants to retire on his 65^th birthday; mortality tables indicate his life expectancy is 85. Therefore, he will need a retirement fund that will sustain him for 20 years, or 240 months. John intends to completely deplete this fund by age 85, leaving nothing for his heirs.

a) What amount of money must be in the retirement fund on John's 65^th birthday if he will withdraw $6,500 then and every subsequent month? John will withdraw the last payment one month before his 85^th birthday for a total of 240 payments. The rate of return on the retirement fund during this period is 8% per year..

b) How much money must John save each month beginning one month from today, his 45^th birthday to accumulate the necessary funds? The rate of return during this period is 9.8% per year.

c) John would like to start saving right now, of course, but his 18-year old daughter is about to start college at an exclusive eastern school and he hasn't saved for her tuition either. Suppose John can pay his daughter's expenses out of his current income but can't start saving for his retirement until she graduates (she is almost certain to take four years to finish). How much money must John save each month, beginning one month after his 49^th birthday to accumulate the necessary funds.