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2. Consider a corporate bond with a coupon rate of 5%, a maturity of 4 years, and an interest payment every six months. The price

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2. Consider a corporate bond with a coupon rate of 5%, a maturity of 4 years, and an interest payment every six months. The price is 97.50. The spot interest rate is as follows: Table 2-2 Period Spot Rate Year's 0.5 1 2.2 1 2.5 1.5 3 2 3 4 5 6 2 2.5 3 3.25 3.5 3.85 4.05 4.3 7 3.5 4 8 Question: What is the nominal spread and Z-spread of the corporate bond? 3. According to the one-year interest rate tree given below with a period of one year, 2.75% is the current one-year interest rate. Calculate the value of a callable bond with the coupon rate of 5%, and it pay interest once a year with a 2-year maturity, whose redemption price is 103 after one year. (With 50% probability for each scenario) 3.25% 2.75% 2.90%

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