You are trying to figure out how much your mothers ss future paymetns would theorticall be worth today. in 15 years you estimate she will recieve 990 dollars at the end of each month. you assume she will recieve these monthly payments for 30 years. 

what is the present value of this future annuity if you use a discount rate of 10% annual with monthly compounding during the annuity period and annual compounding at the 10% rate for the 15 years until the annuity begins?