6. Real estate mortgage loans. a) Analyze the following loan and provide the charts for a) the proportions of interest and principal through the life of the loan and, b) accumulated interest and principal. Interest 4.00% yearly; Time 30 years, or 360 in months; Principal, $360,000.00 b) Which is better for the borrower, to prepay principal or interest? Why? c) When is it best to prepay a loan? Why? 7. Trusts, planned expenses. A company needs to set up a fund to cover certain anticipated research expenses of $20,000 per year for 20 years. The firm anticipates it can earn a minimum of 3% on such fund. How much money is needed for such fund? (Use yearly figures.) 8. Self-annuitizing. A couple has accumulated $100,000. Their daughter is planning on a five year program of graduate study, and they would like to know how much monthly income could be withdrawn if that amount were invested at 4% during the five year period