futures_convexity_correction

TheIt is actually a correction added on the respective implied forward rate, so that a typical

More specifically, when the yield curve is known, then all discount factors - for all future maturities - are known.

It turns out, that all forward rates are also known, due to the formula r = (DF1/DF2 - 1)/(T2-T1) for any forward rate r between times T1 and T2.

Unfortunately the corresponding futures rate f must generally differ from the forward rate due to the fact that f reflects the cost of a "futures contract", which differs from a "forward contract" in that it involves daily "mark to market".

One simple approach to account for this "mark to market" effect is to assume the formula f = r + c, where c is an ad-hoc fixed number called

Therefore provided the number c is known for each pair of times T1 and T2, the futures rate f can be then implied out of a given yield curve.

Finally the corresponding futures price F is defined by F := 100(1-f)