Suppose you will go to graduate school for 4 years beginning in year 4 . Tuition is $27.635 per year. due at the end of each school year. What is the Macaulay duration (in years) of your grad school tuitions? Assume a flat yield curve of 0.06 . Assume annual compounding. In the above description, if you see a flat yield curve of 0.08 for example, then it means that the yield at all maturities is 8%. Suppose in the question above, the tuition obligations have a Macaulay duration of 6.9 in years, and that you wish to immunize the tuition payments by buying a single issue of a zero coupon bond. What maturity zero coupon bond should you buy? Assume annual compounding. Round your answer to 2 decimal places. Suppose in the grad school question (two above), the tuition obligations have a Macaulay duration of 5.97 in years and a present value of 55,433. In order to immunize the tuition payments by investing in some combination of two bonds with duration 2.52 and 8.61 , what is the dollar amount that you should invest in the bond with duration 8.61 ? Assume annual compounding. Round your answer to 2 decimal places