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Suppose the term structure of annualized interest rate is flat at 5%. Consider the following three bonds with face value $100: • Bond 1: a 10-year zero coupon bond; • Bond 2: a 1.5-year semi-annually paid floating rate bond with zero spread; • Bond 3: a 3-year annually paid coupon bond, with coupon rate 6%. 1) What are the current prices for the three bonds? 2) Compute the Duration and Convexity for each of the three bonds. 3) Assume that you have 10 units of Bond 3, how to conduct delta hedge and convexity hedge / using Bond 1 and Bond 2?

Suppose the term structure of annualized interest rate is flat at 5%. Consider the following three bonds with face value $100: • Bond 1: a 10-year zero coupon bond; • Bond 2: a 1.5-year semi-annually paid floating rate bond with zero spread; • Bond 3: a 3-year annually paid coupon bond, with coupon rate 6%. 1) What are the current prices for the three bonds? 2) Compute the Duration and Convexity for each of the three bonds. 3) Assume that you have 10 units of Bond 3, how to conduct delta hedge and convexity hedge / using Bond 1 and Bond 2?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter12: Investing In Stocks And Bonds
Section: Chapter Questions
Problem 6FPE
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Suppose the term structure of annualized interest rate is flat at 5%. Consider the following three bonds with face value $100: • Bond 1: a 10-year zero coupon bond; • Bond 2: a 1.5-year semi-annually paid floating rate bond with zero spread; • Bond 3: a 3-year annually paid coupon bond, with coupon rate 6%. 1) What are the current prices for the three bonds? 2) Compute the Duration and Convexity for each of the three bonds. 3) Assume that you have 10 units of Bond 3, how to conduct delta hedge and convexity hedge using Bond 1 and Bond 2?
Transcribed Image Text:Suppose the term structure of annualized interest rate is flat at 5%. Consider the following three bonds with face value $100: • Bond 1: a 10-year zero coupon bond; • Bond 2: a 1.5-year semi-annually paid floating rate bond with zero spread; • Bond 3: a 3-year annually paid coupon bond, with coupon rate 6%. 1) What are the current prices for the three bonds? 2) Compute the Duration and Convexity for each of the three bonds. 3) Assume that you have 10 units of Bond 3, how to conduct delta hedge and convexity hedge using Bond 1 and Bond 2?
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