You need to show/write/explain inputs to your computations to get full credit. Question 1 (25 points): Mortgage Payments and Balances You purchase a home for $200,000 and borrow the entire amount from Broadway Bank at an APR of 6% with monthly payments. The maturity of your mortgage equals (30+X) years. a. (8 points) Draw a time line that depicts the cash flows from the mortgage payments i. compute the payment and show your inputs and work. ii. Use negative numbers for outflows and positive for inflows. b. (8 points) Compute the outstanding mortgage amount after you have made (10+Y) years of payments. Show this point on the time line, and ii. give the inputs to your computations for full credit. (8 points) c. (9 payments) What is the interest and principal component of your mortgage payment on the next mortgage payment made after (10+Y) years in part (b)? Show your computations. i. Question 2 (25 points): Term Structure and Bond Prices a. (8 points) Draw the current term structure of interest rates (as of today). Label both the axes and the points on the curve. Explain in less than 7 lines - What does the current term structure, as you have graphed, imply for the future path of future interest rates? What causes the future change in rates in your opinion? b. (8 points) Suppose you buy a 30-year par valued bond (assume annual coupons) with yield to maturity equal to the prevailing rate in part (a). You sell the bond after holding it for (5+Z) years, right after receiving the coupon at that time. What is the return on your investment if the prevailing yield to maturity is 2% when you sell it? c. (9 points) By what $ amount will a 10-year $100 face value, par coupon bond change if the yield to maturity (plotted above in (a)) of the 10-year bond increases by 1%? Show your computations. i. Explain the reason for the direction of the change (+ or - ) in price