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On January 15st of 2019 Alexander buys a one-year zero coupon bond with a face value of $100. The bond has a yearly return of

  1. On January 15st of 2019 Alexander buys a one-year zero coupon bond with a face value of $100. The bond has a yearly return of 1.89% according to Bank of Canada website.

    1. a) What is the price of the Bond?

    2. b) What if instead of a one-year bond Alexander would have purchased a zero-

      coupon bond with a maturity of 2-year, and with a yearly yield to maturity equal

      to 2.25%. What is the price of the 2-years zero-coupon bond?

    3. c) Alexander sells the bond after one year. The annual yield to maturity of the second bond increased to 3% in the meantime. Calculate the price of the bond (the bond is now one year before maturity). What is the yearly gain for

      Alexander?

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