November 5th, 2003, 1:00 pm
QuoteOriginally posted by: outcryQuoteOriginally posted by: PatIt's usually more effective to treat the OIS as a basis spread over LIBOR, rather than strip it's own curve:Fwd OIS payment = Fwd Libor payment - basis spread * (day count fraction)The reason is that if one has a swap (fixed against OIS), then if the swap is in the money or out of the money, the difference should be discounted at LIBOR, not OIS. (If one tries to cash settle to unwind the swap, the difference is called the "give back"). The reason for this discounting is that in a swap, the credit risk is the counterparty's credit risk, not the Feds.I know this is a drag since the thread is quite old - anyway - I like the formulation by Pat given by the above equation BUT have a hard time to understand why the basis spread levels out for 6months OIS, 9's and 12months - on the Internet I found, what I believe to be credible quotes for USD Overnight Index Swaps and (maturity) corresponding USD deposits. The 'basis spread' rises from 1month to 6month and then levels out between 6-12months. By the arguments used in this thread 1) compounding naturally takes it's bite (though minor 1/3bps for 1mth) 2) Credit risk (which is also likely to rise over the maturity) and then we are left with seasonalities (or ??) for the rest - would anyone clarify what's behind this logic (the logic behind the spread levelling out) ?OO