[i]However, if I want to play the widening simple TED spread (that is to say the difference between ED rates and TBill rates would increase), I would have to short ED futures (ie "buying ED rates") and I would need an asset to "sell" the TBill rate (such as a sale of a TBill future).
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Short TBill futures, short ED futures - that's a Texas spread, not a TED spread.
If you are determined to do "this kind of trade" (i.e. interbank vs. govt rates) via futures, why not trade 2y note futures against a strip of EDs?
TED spread...carry, rolldown etc.
- jungle
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TED spread...carry, rolldown etc.
it's axiomatic, deal with it.