Yоu аre tаking оut а lоan today (month 0) to finance an 18-month professional program. You will graduate at the end of month 18. The loan includes a 12-month grace period after graduation during which you are not required to make any payments. After the grace period ends, you must repay the loan using 60 equal monthly payments of $1,050, paid at the end of each month. Therefore: The first payment will be made at the end of month 31. The 60th (final) payment will be made at the end of month 90. Interest begins accruing immediately at month 0 on the outstanding loan balance and continues to accrue during the program and the grace period (no payments are required during these months, but interest is still charged). The interest rate on the loan is 12% APR, compounded monthly. a) (8 points) How much can you borrow today? (PV at month 0.) Show your work. b) (2 points) What is the future value of the payment stream (i.e., the value of this annuity) at the time of the final payment (end of month 90)? Show your work.