1.You wish to borrow $2,000,000 to finance the construction of a small multi-family investment property. A lender is willing to give you a 10 year fixed rate fully amortizing loan at 4.5%. In what month will you have paid back exactly half of your principal balance? Always round up to the nearest month, payments are always at discrete intervals (no payments will be made in the middle of any month). State your answer as a whole number.(Hint: you want to find the N when the outstanding balance is 1M and subtract that from 120, your total number of scheduled payments)2.You are choosing between a 15 year fully amortizing fixed rate constant payment loan with a 3.15% rate and a 30 year fixed rate loan with a 3.40% rate. In either case you would borrow $400,000. If you plan to only hold which ever loan you select for 10 years (i.e. you will make 120 payments), how much larger will the outstanding balance be at time of repayment on the 30 year loan versus the 15 year loan? State your answer as a positive number rounded to the nearest cent.3.You wish to purchase a property for$600,000 and need to acquire a mortgage to finance$500,000 of the purchase price. A bank offers you a$500,000 fixed rate30 year fully amortizing constant payment mortgage with a3.5% rate. In which period (e.g. which payment number, 1–360) is the first month in which you are paying more principal than interest on this loan?4.You wish to purchase a property for$600,000 and need to acquire a mortgage to finance$500,000 of the purchase price. A bank offers you a$500,000 fixed rate30 year fully amortizing constant payment mortgage with a 5.25% rate. In which period (e.g. which payment number, 1–360) is the last month in which you are paying more interest than principal on this loan?
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