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In early 2018 TD Ameritrade participated with The Goldman Sachs Group, Inc. to sell a bond with the following characteristics: Coupon: 2.50% to 03/29/2019; 3.50%

  1. In early 2018 TD Ameritrade participated with The Goldman Sachs Group, Inc. to sell a bond with the following characteristics:
    • Coupon: 2.50% to 03/29/2019; 3.50% to 03/29/2020; 4.00% to 03/29/2021.
    • Payment Frequency: Semi-Annually.
    • Maturity: 03/29/2021.

Use your knowledge of annuity formation using perpetuities, and of zero-coupon bonds, to derive a closed-form solution for the price of this bond on 03/29/2018.

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