on today. it would include the payment that was plan ty U years? Assume that the amount of lude the payment that was planned for exactly 60 4. You want to create a scholarship at SMU tha deserving student. You want this award to last occur exactly 31 years from now. You will wor nominal amount of money every month (staru This fund will earn a nominal 5.4% APR, com MU that would pay exactly $50,000 every year to a is award to last forever, but you want the first payment to low. You will work for the next 30 years and save the same oney every month (starting next month) into the scholarship fund. a. If the payments will always be $50,000 p would you need to save each month? lways be $50,000 per year, and never changes, then how much b. If you wanted the first payment to u wanted the first payment to be a nominal $50,000 in exactly 31 years, but then you want each payment to increase with inflation (which is 2.4% APR, compounded semi-annually), then how much would need to be saved each month for the next 30 years? c. Same situation as in (b), but now you want your savings to increase with inflation as well! How much would the first savings amount into the scholarship fund (exactly 1 month from now)