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A bond trader purchased each of the following bonds at a yield to maturity of 4%....

A bond trader purchased each of the following bonds at a yield to maturity of 4%. Immediately after she purchased the bonds, interest rates fell to 3%. What is the percentage change in the price of each bond after the decline in interest rates? Fill in the following table.

Price @ 4% Price @ 3% Percentage Change
10-year, 10% annual coupon $   $   %
10-year zero %
5-year zero %
30-year zero %
Perpetuity, $100 annual coupon %

Please show Excel formula for solutions, and how the percentage change was calculated. Thank you!

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Price a Price aPercentage 4% 3% Change 10-ye $1,486.65 $1,597.11 10% annual 2 cou 10-vear zero 5-vea zero 30-year zero Perpetuity$2,500.00 $3,333.33 ,$100 annual 7.43% $675.56 $744.09 $821.93 $862.61 $308.32 $411.99 10.14% 4.95% 33.62% 33.33% 4 6 coupon

Price @4% Price @ 3% Percentage Change 10-year, 10% annual coupon 10-year zero 5-year zero 30-year zero Perpetuity, $100 annual coupon .PV(496.10.10%1000, 1000) |--PV(3%.10.10%1000.1000) 1-c2/B2-1 .PV(4%,10.0%1000-1000) -PV(3%,10.0%1000.1000) C3/B3-1 -PV(4%,5,0%1000.1000) | -PV(3%,5,0%1000. 1000) l-c4/B41 --PV(496.30.0%1000.1000) |--PV(3%,30.0%1000, 1000) C5/B5-1 4 100/4% 100/3% -c6/B6-1

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