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Assume that the 3.95% US Treasury bond that matures on 15 August 2041 is priced to yield 5.14% for settlement on 15 November 2014. Coupons

  1. Assume that the 3.95% US Treasury bond that matures on 15 August 2041 is priced to yield 5.14% for settlement on 15 November 2014. Coupons are paid semiannually on 15 February and 15 August. The yield-to-maturity is stated on a street-convention semiannual bond basis.
  1. Using the formula showing all calculations, calculate the full price of the US Treasury if the yield is 5.14%?
  2. Compute the approximate modified duration and the approximate Macaulay duration for this Treasury bond assuming a 5 bp change in the yield-to-maturity. Show all the necessary calculations using appropriate formulas.

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