# Math

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The Garraty company has two bond issues outstanding. Both bonds pa \$100 annual interest plus \$1,000 at maturity. Bond L has a maturity of 15 years and Bond S a maturity of 1 year. A). What will be the value of each of these bonds when the going rate of inters is (1) 5 percent, (2) 8 percent and (3) 12 percent? Assume that there is only one more interest payment to be made on Bond S.
B) Why does the longer term (15 year) bond fluctuate more when interest rates change than does the shorter term bond (1 year).

5% 1,047.62 1,518.98
8% 1,018.52 1,171.19
12% 982.14 863.78

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(A.)1. 5%: Bond L: Input N = 15, I/YR = 5, PMT = 100, FV = 1000, PV = ?, PV = \$1,518.98.
Bond S: Change N = 1, PV = ? PV = \$1,047.62.

2. 8%: Bond L: From Bond S inputs, change N = 15 and I/YR = 8, PV = ?, PV = \$1,171.19.
Bond S: Change N = 1, PV = ? PV = \$1,018.52.

3. 12%: Bond L: From Bond S inputs, change N = 15 and I/YR = 12, PV = ? PV = \$863.78.
Bond S: Change N = 1, PV = ? PV = \$982.14.

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