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. Bonus Problem 1 (Optional, 25 marks) We consider a 6-year callable bond issued today. You are given that The face value of the bond

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. Bonus Problem 1 (Optional, 25 marks) We consider a 6-year callable bond issued today. You are given that The face value of the bond is $1600; The annual coupon rate is 6.6% payable monthly. The bond can be redeemed by the issuer at any coupon payment date in 4th year, 5th year and 6th year. The redemption value is C + 150 if the bond is redeemed during 4th year. The redemption value is C if the bond is redeemed during 5th year or 6th year (including maturity date). Here, C > $1600. The bond is currently sold at $1673.85. The minimum annual nominal yield rate earned by the bondholder is 6%. After 4.5 years, the bond remains alive (i.e. it is not called). Suppose that the bond price at that time is $1652.19, calculate the corresponding minimum annual nominal yield rate at that time. (Hint: Find the value of C first) . Bonus Problem 1 (Optional, 25 marks) We consider a 6-year callable bond issued today. You are given that The face value of the bond is $1600; The annual coupon rate is 6.6% payable monthly. The bond can be redeemed by the issuer at any coupon payment date in 4th year, 5th year and 6th year. The redemption value is C + 150 if the bond is redeemed during 4th year. The redemption value is C if the bond is redeemed during 5th year or 6th year (including maturity date). Here, C > $1600. The bond is currently sold at $1673.85. The minimum annual nominal yield rate earned by the bondholder is 6%. After 4.5 years, the bond remains alive (i.e. it is not called). Suppose that the bond price at that time is $1652.19, calculate the corresponding minimum annual nominal yield rate at that time. (Hint: Find the value of C first)

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