It is December 31, 2011, and 30-year-old Camille Henley is reviewing her retirement savings and planning for her retirement at age 60. She currently has $55,000 saved (which includes the deposit she just made today) and invests #2,000 per year (at the end of the year) in a retirement account that earns about 9% annually. She has decided that she is comfortable living on $40000 per year (in todays dollars) and believes she can continue to live on that amount as long as it is adjusted annually for inflation. Inflation is expected to average 2.36% per year for the foreseeable future. After researching information on average life expectancy for females of her background, her plan will assume she lives to age 90. She will withdraw the amount needed for each year during retirement at the beginning of the year. So, on December 31 at age 60, she will make her last deposit of $2,000 and the following day (January 1) she will withdraw her first installment for retirement.

1.If Camille continues on her current plan, will she be able to accomplish it?

2.How would the situation change if Camille were to start placing her $2,000 annual savings into her retirement account on January 1st of each year rather than December 31st of each year? Assume that the investment still pays interest at the end of the year.

3.If Camille resumes making her deposits at the end of the year, how much would she have to save each year to accomplish her objective?

4.Assume that Camille continues with her current plan. What interest rate would she have to earn on her investment to make it work?

5.If Camille wishes to leave a $50,000 perpetuity to her alma mater, starting one year from the year she turns 90, then how much extra money would she need to have on December 31st of the year she turns 90? Assume that the investment will earn 9%.

6.Rework the previous question for the case where Camille wants the university investment to grow by 5% per year.