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15. a. The US Treasury yield curve for the first 36 months has the following YTMs (each YTM is measured as an EAR): A 6-month

15.

a. The US Treasury yield curve for the first 36 months has the following YTMs (each YTM is measured as an EAR):

  • A 6-month YTM of 2.6%.
  • A 1-year YTM of 2.8%.
  • An 18-month YTM of 3.1%.
  • A 24-month YTM of 3.8%.
  • A 30-month YTM of 4.4%.
  • A 3-year YTM of 4.8%.

All YTMs come from US Treasury, zero-coupon bonds.

Determine the corresponding no-arbitrage price for a 1-year, 5.5% (coupon rate), semi-annual US Treasury coupon bond with a face value of $1000.

Express your answer in dollars and cents.

b. The US Treasury yield curve for the first 36 months has the following YTMs (each YTM is measured as an EAR):

  • A 6-month YTM of 2.7%.
  • A 12-month YTM of 2.9%.
  • An 18-month YTM of 3.1%.
  • A 24-month YTM of 3.3%.
  • A 30-month YTM of 3.6%.
  • A 3-year YTM of 4%.

All YTMs come from US Treasury, zero-coupon bonds.

Determine the corresponding no-arbitrage price for a 18-month, 3.7% (coupon rate), semi-annual US Treasury coupon bond with a face value of $1000.

Express your answer in dollars and cents.

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