It is December 31, 2017, and 35-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 10% annually. She has decided that she is comfortable living on $40000 per year (in today's dollars) and believes she can continue to live on that amount as long as the annual inflation rate can be neglected.

After researching information on average life expectancy for females of her background, her plan will assume she lives to age 88. She will withdraw the amount needed for each year during retirement at the beginning of the year. So, on December 31in the year 2042 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?