Question 1 (20 marks) Mr. Denton has a $20 million par value position in an investment-grade rated corporate bond. He has decided to hedge the position for one month using Treasury bond futures contracts that settles in one month. Mr. Denton's research assistant provided him with the following information: Information about the corporate bond: Coupon rate = 8% Years to maturity = 30 Par value = $20 million Market price = 100 Yield to maturity = 8% Structure = bullet bond Duration = 11.3 = Information about the Treasury bond futures contract: Expiry date = 1 month Futures price = 106 = Information about the Cheapest-to-deliver issue: Coupon rate = 10% Years to maturity = 22 Price = 133.42 Yield to maturity = 7% Duration = 10.4 Conversion factor = 1.16 a. (2 marks) Should Mr. Denton buy or sell futures? Explain why. b. (3 marks) What is the expected clean price for the cheapest-to-deliver issue on the expiry date? C. (5 marks) If futures prices increase after the position in the futures is taken, what happens in terms of profit/loss to Mr. Denton? Explain. d. (10 marks) How many futures contracts should Mr. Denton sell or buy? Explain Question 1 (20 marks) Mr. Denton has a $20 million par value position in an investment-grade rated corporate bond. He has decided to hedge the position for one month using Treasury bond futures contracts that settles in one month. Mr. Denton's research assistant provided him with the following information: Information about the corporate bond: Coupon rate = 8% Years to maturity = 30 Par value = $20 million Market price = 100 Yield to maturity = 8% Structure = bullet bond Duration = 11.3 = Information about the Treasury bond futures contract: Expiry date = 1 month Futures price = 106 = Information about the Cheapest-to-deliver issue: Coupon rate = 10% Years to maturity = 22 Price = 133.42 Yield to maturity = 7% Duration = 10.4 Conversion factor = 1.16 a. (2 marks) Should Mr. Denton buy or sell futures? Explain why. b. (3 marks) What is the expected clean price for the cheapest-to-deliver issue on the expiry date? C. (5 marks) If futures prices increase after the position in the futures is taken, what happens in terms of profit/loss to Mr. Denton? Explain. d. (10 marks) How many futures contracts should Mr. Denton sell or buy? Explain