September 2003 Q(3)

Discussion in 'CT1' started by Sanjay, Mar 12, 2014.

  1. Sanjay

    Sanjay Member

    Can someone please tell me where I went wrong in this question.

    'An asset has a current price of 100p. It will pay an income of 5p in 20 days time. Given a risk-free rate of interest of 6% per annum convertible half-yearly and assuming no arbitrage, calculate the forward price to be paid in 40 days.'

    The correct answer is 95.63. I have shown my workings below.

    K= (S-I) e^(delta x T)
    K= [ 100 -5 x e^(-0.05912 x 20/365)] e^(0.05912 x 40/365)
    K=[100-5(4.9838)](1.0065)
    k=75.57p

    where delta=ln(1+i)=ln(1.0609)=0.05912. I'm pretty sure it's with the calculations, but where? It seems right no matter how many times I do it.:confused:

    Thank you.I'd really appreciate it.:)

    Kind regards
    Sanjay.
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    Apologies Sanjay for the delay. If you don't get a response, then it might be worth messaging the tutor responsible for the forum - especially during the busy block teaching period.

    5 x e^(-0.05912 x 20/365) = 4.9838

    You then multiplied by the 5 again.
     
  3. Sanjay

    Sanjay Member

    Thanks a lot Sir.

    Kind regards
    Sanjay.
     

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