Three US government bonds, A, B and C, each with face value $1000, are currently selling in the market for prices of $938.97, $955.55 and $1001.68 respectively. Bond A is a zero-coupon bond with one year to maturity, bond B has a coupon rate of 5% and two years to maturity and bond C has a coupon rate of 8% and three years to maturity? All coupons are paid annually. i. Infer the US spot rate curve from these data. ii. Give two possible explanations that might be used to explain why the curve takes the shape that it does.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 9P
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Three US government bonds, A, B and C, each with face value $1000, are
currently selling in the market for prices of $938.97, $955.55 and $1001.68
respectively. Bond A is a zero-coupon bond with one year to maturity, bond
B has a coupon rate of 5% and two years to maturity and bond C has a
coupon rate of 8% and three years to maturity? All coupons are paid
annually.
i. Infer the US spot rate curve from these data.
ii. Give two possible explanations that might be used to explain why the
curve takes the shape that it does.
Transcribed Image Text:Three US government bonds, A, B and C, each with face value $1000, are currently selling in the market for prices of $938.97, $955.55 and $1001.68 respectively. Bond A is a zero-coupon bond with one year to maturity, bond B has a coupon rate of 5% and two years to maturity and bond C has a coupon rate of 8% and three years to maturity? All coupons are paid annually. i. Infer the US spot rate curve from these data. ii. Give two possible explanations that might be used to explain why the curve takes the shape that it does.
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