Homework Answers
The Macaulay duration of a zero-coupon bonds is equal to its time to maturity (in years).
If the yield to maturity changes, the Macaulay duration of a zero-coupon bond remains unchanged, since the time to maturity is unchanged.
Therefore, the change in Macaulay duration is zero.
The answer is (b)
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12. Consider a zero coupon bond with a 4 year maturity. The current yield to matu-...
A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield)...
A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 139.2 and modified duration of 11.34 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration--12.30 years--but considerably higher convexity of 272.9. a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? il...
A 9-year maturity zero-coupon bond selling at a yield to maturity of 8.25% (effective annual yield)...
A 9-year maturity zero-coupon bond selling at a yield to maturity of 8.25% (effective annual yield) has convexity of 156.3 and modified duration of 8.06 years. A 30-year maturity 6.5% coupon bond making annual coupon payments also selling at a yield to maturity of 8.25% has nearly identical duration--8.04 years-but considerably higher convexity of 248.2 a. Suppose the yield to maturity on both bonds increases to 9.25%. What will be the actual percentage capital loss on each bond? What percentage...
A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield)...
A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 161.9 and modified duration of 12.27 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration-12.30 years-but considerabl higher convexity of 272.9 a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? What...
A 13.05-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield)...
A 13.05-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 1572 and modified duration of 12.08 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration--12.30 years—but considerably higher convexity of 272.9. a. Suppose the yield to maturity on both bonds increases to 9%. 1. What will be the actual percentage capital loss on each bond?...
Return to question A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8%...
Return to question A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 1392 and modified duration of 11.34 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration -12.30 years--but considerably higher convexity of 272.9. 1.25 points a. Suppose the yield to maturity on both bonds increases to 9% IWhat will be the actual percentage...
Question Find the equilavent years to maturity ofa zero-coupon bond to one that has a coupon...
Question Find the equilavent years to maturity ofa zero-coupon bond to one that has a coupon rate of 8.60%, 5 years to maturity and a yield to maturity of 9.20% Find the equilavent years to maturity of a zero-coupon bond to one that has a coupon rate of 660% (annual coupons) 10 years to maturity, and a yield to maturity 3 of 6.00%. Find the approximate percentage change in the price of a bond due to a 10 basis point...
Question 1 A 12.58-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective...
Question 1 A 12.58-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 146.5 and modified duration of 11.65 years. A 30-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration—-11.79 years—-but considerably higher convexity of 231.2. a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each...
Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is...
Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is 10%, what would be the price of this bond? If the yield to maturity increases to 12% how much does the bond's price change?
Assume that the price of a $1,000 zero coupon bond with 7 years to maturity is...
Assume that the price of a $1,000 zero coupon bond with 7 years to maturity is $547 when the required rate of return is 9 percent. If the required rate of return suddenly changes to 13 percent, what is the price elasticity of the bond? 7. 8. Assume a bond with a $1,000 par value and an 7 percent coupon rate, two years remaining to maturity, and a 9 percent yield to maturity. What is the duration of this bond?
5) Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is 10%, what would be the price...
5) Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is 10%, what would be the price of this bond? If the yield to maturity increases to 12% how much does the bond's price change?
A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 139.2 and modified duration of 11.34 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration--12.30 years--but considerably higher convexity of 272.9. a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? il...
A 9-year maturity zero-coupon bond selling at a yield to maturity of 8.25% (effective annual yield) has convexity of 156.3 and modified duration of 8.06 years. A 30-year maturity 6.5% coupon bond making annual coupon payments also selling at a yield to maturity of 8.25% has nearly identical duration--8.04 years-but considerably higher convexity of 248.2 a. Suppose the yield to maturity on both bonds increases to 9.25%. What will be the actual percentage capital loss on each bond? What percentage...
A 13.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 161.9 and modified duration of 12.27 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration-12.30 years-but considerabl higher convexity of 272.9 a. Suppose the yield to maturity on both bonds increases to 9%. What will be the actual percentage capital loss on each bond? What...
A 13.05-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 1572 and modified duration of 12.08 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration--12.30 years—but considerably higher convexity of 272.9. a. Suppose the yield to maturity on both bonds increases to 9%. 1. What will be the actual percentage capital loss on each bond?...
Return to question A 12.25-year maturity zero-coupon bond selling at a yield to maturity of 8% (effective annual yield) has convexity of 1392 and modified duration of 11.34 years. A 40-year maturity 6% coupon bond making annual coupon payments also selling at a yield to maturity of 8% has nearly identical modified duration -12.30 years--but considerably higher convexity of 272.9. 1.25 points a. Suppose the yield to maturity on both bonds increases to 9% IWhat will be the actual percentage...
Question Find the equilavent years to maturity ofa zero-coupon bond to one that has a coupon rate of 8.60%, 5 years to maturity and a yield to maturity of 9.20% Find the equilavent years to maturity of a zero-coupon bond to one that has a coupon rate of 660% (annual coupons) 10 years to maturity, and a yield to maturity 3 of 6.00%. Find the approximate percentage change in the price of a bond due to a 10 basis point...
Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is 10%, what would be the price of this bond? If the yield to maturity increases to 12% how much does the bond's price change?
Assume that the price of a $1,000 zero coupon bond with 7 years to maturity is $547 when the required rate of return is 9 percent. If the required rate of return suddenly changes to 13 percent, what is the price elasticity of the bond? 7. 8. Assume a bond with a $1,000 par value and an 7 percent coupon rate, two years remaining to maturity, and a 9 percent yield to maturity. What is the duration of this bond?
5) Consider a 4-year, $1000 par value bond with zero coupons. If the yield to maturity is 10%, what would be the price of this bond? If the yield to maturity increases to 12% how much does the bond's price change?
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