Question
If the yield curve instantaneously makes a parallel shift up of 1.0%, which statement about the bonds sensitivity to the change in interest rates (i.e.
If the yield curve instantaneously makes a parallel shift up of 1.0%, which statement about the bonds sensitivity to the change in interest rates (i.e. duration) is most accurate?
A) Bond 1 has the greatest sensitivity to the change in interest rates because it increases in value by 4.0%
B) Bond 2 has the greatest sensitivity to the change in interest rates because it increases in value by 4.4%
C) Bond 1 has the greatest sensitivity to the change in interest rates because it decreases in value by 4.4%
D) Bond 2 has the greatest sensitivity to the change in interest rates because it decreases in value by 4.2%
E) Bond 1 has the greatest sensitivity to the change in interest rates because it decreases in value by $41.55
Bond 1: Face Value $1000; Maturity 5 Yrs, PMT/YR: 2, EOP: YTM: 8.0%; Coupon 10.0%; AAA rated . Bond 2: Face Value $1000; Maturity 5 Yrs, PMT/YR: 2, EOP: YTM: 8.0%; Coupon 5.0%; AAA rated Bond 3 Face Value $1000, Maturity 10 Yrs, PMT/YR: 1, EOP: YTM: 8.0%; Coupon 2.5%, CCC rated, and puttable at 900. $2,000 $1,800 1,600 $1,437.87 $1,378.85 $1,400 Bond Price (Y-Axis) vs. Yield to Maturity (X-Axis) 1,322.78 $1,269.48 $1,218.80 $1,170.60 s1,12475$1,081.11 $1,039.56 $1,000.0 1,092.22 $1,044.91 $1,000.00 $957.35 $916.83 $878.34 $84175 $806.96 $1,2005194,61 51,142 $1,000 $800 $600 $400 $200 0.0% 1.0% 2.0% 3.0% 4.0% 5.0% 6.0% 7.0% 8.0% 9.0% 10.0% BOND 1 BOND2Step by Step Solution
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