Back in 2017, Austria sold a 100 year bond with annual coupons, face value of 100 and coupon rate of 2.1%. The YTM of this bond today is 1.014%, what is its current price? (Note: right now this is a 98 year bond.) Suppose we have a five-year bond with face value of $1000, a coupon rate of 7%, semiannual coupon payments, and a yield to maturity of 5%. This bond allows the issuer to not make coupon payments for the first year. Find its price. (Hint: this is a two step problem. If we are at year 1, this is a regular four-year bond, find its price this way and then discount it back to year 0.) One company has issued two types of bonds, X and Y. Both bonds have 10 years maturity, a face value of $100, make semiannual payments, and a yield to maturity of 5%. However, bond X has a coupon rate of 5% while for bond Y it is 15%. If interest rates suddenly rise by 2% (so the new yield to maturity of both bonds is 7%), which bond suffers the largest percentage change in its price? (Hint: compute the price of both bonds with the 5% YTM and then with 7% YTM, the compute the percentage change in price.)