Part A. (10 Points) Today is your 30th birthday and you plan to retire in 30 years when you are 60. You expect to need $75,000 a year in retirement (the first $75,000 will be paid on your 61st birthday) and expect to live to be 95. If you assume you can earn a nominal rate of 5.5% on your investments calculate the amount you will need to save each year until you retire if you start saving next year on your 31st birthday. Solve in Nominal terms. Part B (5 Points) You have a trust fund that was set up by your great uncle which will pay you $40,000 on your 40th birthday and $10,000 on your 50th birthday. Assume that once you receive these two payments you can also invest then at a nominal rate of 5.5% to increase your retirement savings. Assume you still want all of your retirement savings contributions to be a constant annual nominal amount (an annuity). Calculate the amount you will now need to save each year until you retire if you start saving next year on your 31st birthday. Part C (5 Points) You expect inflation to be 2% per year over the entire period, based on the nominal amount of $75,000 from Part A what is the amount in real dollars of your first retirement withdrawal when you are 61