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Assume the yield curve is flat at 7.5% pa nominal. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 9-year zero

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Assume the yield curve is flat at 7.5% pa nominal. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 9-year zero coupon bonds and purchasing q_s and q_l zero coupon bonds with maturities 5 and 14 years' respectively. We assume that interest accrues semi- annually. We also assume each bond has a face value of $100. (d) What is the modified duration of the 5-year bond? [Select] (e) What is the modified duration of the 9-year bond? [Select ] (f) What is the modified duration of the 14-year bond? [Select] (g) What is the standardized convexity of the 5-year bond? (Select] (h) What is the standardized convexity of the 9-year bond? [ Select] (i) What is the standardized exity of the 14-year bond? [ Select ] (j) What is the cash-neutral equation in the system of equations needed to find q_s and q_I? [ Select ] (k) What is the $Duration-neutral equation in the system of equations needed to find q_s and q_I? [ Select] (1): It can be shown that the solution to the system of equations is: q_s = 413.83 and q_l= 642.24. The profit from this strategy if the yield curve shifts upwards by 1% at all maturities is closest to: [ Select] Assume the yield curve is flat at 7.5% pa nominal. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 9-year zero coupon bonds and purchasing q_s and q_l zero coupon bonds with maturities 5 and 14 years' respectively. We assume that interest accrues semi- annually. We also assume each bond has a face value of $100. (d) What is the modified duration of the 5-year bond? [Select] (e) What is the modified duration of the 9-year bond? [Select ] (f) What is the modified duration of the 14-year bond? [Select] (g) What is the standardized convexity of the 5-year bond? (Select] (h) What is the standardized convexity of the 9-year bond? [ Select] (i) What is the standardized exity of the 14-year bond? [ Select ] (j) What is the cash-neutral equation in the system of equations needed to find q_s and q_I? [ Select ] (k) What is the $Duration-neutral equation in the system of equations needed to find q_s and q_I? [ Select] (1): It can be shown that the solution to the system of equations is: q_s = 413.83 and q_l= 642.24. The profit from this strategy if the yield curve shifts upwards by 1% at all maturities is closest to: [ Select]

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