Subbadditivity

Discussion in 'SP9' started by Cf92, Aug 31, 2017.

  1. Cf92

    Cf92 Keen member

    Hi there

    I was struggling to grasp one of the subbadditivity qs that's in the x assignment.

    Why in the x assignment x2.6 does it aggregate the losses and then subtract 500.

    I managed to do the September 2011 q8 which was similar, is there something fundamental I'm missing in the x assignment?

    Thanks
     
  2. Simon James

    Simon James ActEd Tutor Staff Member

    If a bond defaults, you lose the capital and the coupon (a loss of 105). If a bond survives, you gain the coupon of 5 (ie a "loss" of -5).

    We have 100 bonds, hence the -500.

    We are effectively measuring the loss against the total nominal value of the bonds, not the expected position of all bonds surviving and paying their coupons.
     
  3. Cf92

    Cf92 Keen member

    Thanks for the quick response
     

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