You have two goals for which to want to saveboth relating to a home purchase. Realizing that your goals are ambitious, you have decided to start a savings plan. First your want to purchase you new $200k homes in eight years. Your first goal is to have $40,000 saved for a down payment and you will finance the rest with a 30 year, 6% APR conventional mortgage. Second, you also wan tto pay off the home 15 years after purchase, but you do not want to be committee by a higher 15 year mortgage payment. So, separate from making your monthly sent as payment #181, to pay off the balance remaining at that time. You want to invest on a continuous annuity. Assume you can earn 8% EAR on your investment, Calculate the monthly contribution required to meet your town goals.