APPENDIX TO CHAPTER 11Note and Bond Futures

A11.1 FORWARD DROP APPROXIMATELY EQUALS CASH CARRY

Define the following notation, all for 100 face amount of a bond:

  • p 0: flat price for spot settlement
  • c: annual coupon payment
  • d 1: number of days from spot settlement to the coupon payment date
  • d 2: number of days from the coupon payment date to forward settlement
  • d equals d 1 plus d 2: number of days from spot to forward settlement
  • upper A upper I 0 comma upper A upper I Subscript d Baseline: accrued interest as of spot and forward settlements, respectively
  • r: repo rate from spot to forward settlement
  • p 0 left-parenthesis d right-parenthesis: flat price for forward settlement

With this notation, the forward price of the bond, based on the discussion in the text, can be written as,

Equation (A11.2) follows ...

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