7. Show your work. (10 points) a) You are planning to save for retirement over the next 20 years. To do this, you will invest $750 per month into a stock account that will provide a 9 percent annual return. In addition, your employer has agreed to make 240 monthly payments of $250 each into a trust account to fund your retirement which will provide a 6 percent annual return. All payments will be made at the end of each month. At the end of 20 years, you will be paid 10 equal annual payments from your total nest egg, with the first payment to be made at the beginning of year 21. The funds will be invested at a nominal rate of 4 percent, with monthly compounding, during the distribution period. How large will each of your 10 retirement period payments be? b) If you can invest a lump sum of $10,000 of your own money now to supplement your stock account (same investment fund), how much will your annual payments be during your retirement years