3.a If you decide to start saving for your retirement as soon as you start working (age 22) and religiously put away $1000 a month in zero fee index funds (average returns 8% a year). How much will you accumulate by the time you are 65?

b. Is the saving enough to support a comfortable retirement, given that you plan to spend 70,000 in todays dollars. Assume that inflation is 3% and that you will live till you are 90 and you keep your money invested in the same index funds.

c. Does this let you leave your heirs with some money and how much is that sum if you leave all of that after you die at 90.

4. a. You want to plan to provide for 4 year college expenses for two children. Assume that the first child will be college going in 16 years and the other in 12 years. College tuition is 30,000 per year and tuition inflation is around 4%. How much do you need to save every month if the rate of return on your investments is 7%?