You are just 25 years old and you have $50,000 in your retirement saving accounts. You expect to retire at the age of 65 (work for 40 more years) and expect to live for another 25 years after your retirement. On the day you retire, you want to have enough money in our retirement saving accounts such that you are able to draw $7,000 per month for 25 years. You are conservative in your estimate of interest rate and expect to earn on an average 4.5% on your money during the entire period.

A) How much you need to deposit each month throughout your working years to achieve your post retirement income goal, if you plan to die on the day you spend your last penny?

B) There is one more complication that you realized only at the last day of your age 35! And the end of your age 55 (in 20 year time), you expect your only kid to join a top notch MBA program. You want to help your kid achieve his/her career goal and you plan to give him/her an onetime grant of $125,000 when he joins the program. How much you need to additionally save each month from age 35 onwards to achieve enough funds at the end of age 65 to meet your original retirement income goal as well as your child's educational goal?

C) Suppose your financial situations at age 35 is such that you cannot increase your monthly savings in the pension account. If you still want to give your kid an onetime grant of $125,000 at the end of your age 55, how much reduction in your post retirement monthly income you have to absorb in order to accommodate the additional expenditure of $125,000.