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You have an equally-weighted bond portfolio containing four bonds. Details of the four bonds are given below: Bond A: 10-year zero coupon government bond, par value $1000, current price is 585.43 Bond B: 10-year zero coupon AA rated bond, par value $1000, default risk premium is 2.5% Bond C: 5 year 15% coupon, BBB rated bond, par value $1000, annual coupon payments default risk premium is 9.5%. The duration of Bond C is 3.855. Bond D: 5 year 15% government coupon bond, par value $1000, annual coupon payments, YTM is 7% (a) (3 marks) Find the price of Bond B, C and D, respectively. (b) (3 marks) Find Macaulay's duration of Bond D. (c) (3 marks) If Bond A's yield increases by 0.5%, what is the price of Bond A based on the duration-with-convexity rule? Assume the convexity of Bond A is 99.77. (d) (3 marks) Suppose you have a liability with a duration of 8 years, the current value of the liability is $1 million. How many of Bond A and Bond C will you hold in your portfolio to immunize the interest rate risk in your liability? (e) (2 marks) If you forecast that the yield curve will shift upward in the near future, how can you adjust your holdings on Bond A and C to minimize the effect on your portfolio? Briefly explain. (f) (3 marks) The current yield spread between Bond A (Government bond) and Bond B (AArated bond) is 2.5% due to the credit risk premium. You expect that the bond may temporarily increase in credit risk. What investment instrument can you use to minimize credit