(a) A government bond with two years remaining to maturity makes annual coupon payments at 10% per year. The bond is currently trading at its face value. If there was parallel upward shift of the yield curve by 50 basis points, what would be the percentage change in the price of the bond? (10) (b) The prices of three zero-coupon default-free bonds with face values of 1,000 are shown in the table below: A three-year maturity default-free coupon bond with a face value of 1,000 makes annual coupon payments at 10% per year and is currently trading at a price of 1,183.50. Is there an arbitrage opportunity? If so, illustrate with an example how you would take advantage of this opportunity. If not, why not