Chapter 13 - hedging a short position on a forward contract

Discussion in 'CT1' started by Jinnentonix, Jul 25, 2016.

  1. Jinnentonix

    Jinnentonix Member

    I'm trying to understand the section on hedging (see page 14 and 15 of the 2016 Course Notes).

    It states that an investor taking a short position on a forward contract can hedge its position by borrowing an amount of Ke^(-dT) and purchasing the asset at the spot price at time 0 (S0). d is supposed to represent the force of interest (because I have no idea how to put the relevant Greek letter into this post).

    I can understand that the "price" of the portfolio is -Ke^(-dT) + S0.

    However, it says that -Ke^(-dT) + S0 = 0

    That I don't understand. Is it because we borrow the exact amount of money required to purchase the asset at time 0?

    I can see situations where values of K, S0 and d where that relationship simply cannot work.

    Appreciate any clarification!
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    It's because \(K = S_0 e^{-\delta T}\).
     
    Jinnentonix likes this.
  3. Jinnentonix

    Jinnentonix Member

    Thanks very much!
    I presume you meant K = S0e^(dT).
     
  4. John Lee

    John Lee ActEd Tutor Staff Member

    Oops! Yes I did.

    PS You can put maths in your posts using LATEX. See the pinned post in the forum.
     
    prashanth likes this.

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