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Consider the 521 coupon bond, maturity 12 months, M= 100,000 , and 2=1.9459%. Calculate the Modified Duration, Macaulay Duration, and the price change of 0.01%
Consider the 521 coupon bond, maturity 12 months, M= 100,000 , and 2=1.9459%. Calculate the Modified Duration, Macaulay Duration, and the price change of 0.01% increase in y using duration approximation. - First Step, calculate price P=1+0.0194592,750+(1+0.019459)2102,750= 101,562.45 - Second Step, use modified duration formula: D= (1+y)1[(1+y)C+(1+y)22(M+C)]P1=1.0194591(1.0194592,750+ - D=D(1+y)=1.9734 - PP1.9358yP1.93580.0001
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