You have just arranged for a $800,000 mortgage to finance the purchase of a flat. The mortgage has an 8% APR, and it calls for monthly payments over the next 30 years. a. Assume the loan calls for equal monthly payment: (i) Calculate the interest and principal payment for the first two months. (ii) After 8 years, you would like to pay off the remaining loan by making a lump sum payment. How much is the lump sum payment? b. Assume the loan calls for equal principal reduction: (iii) Calculate the interest and principal payment for the first two months. (iv) After 8 years, you would like to pay off the remaining loan by making a lump sum payment. How much is the lump sum payment?