Bonds futures: Delta? No gamma!

Henrard, Marc (2006): Bonds futures: Delta? No gamma! Unpublished.

Abstract

Bond futures are liquid but complex instruments. Here they are analysed in a one-factor Gaussian HJM model. The in-the-model delta and out-of-the-model delta and gamma are studied. An explicit formula is provided for in-the-model delta. The out-of-the-model delta and gamma are equivalent to partial derivatives with respect to discount factors. In particular cases the derivative can not be obtained by standard techniques. The same situations lead to cases where the gammas (second order partial derivatives) do not exists.

• Item Type: MPRA Paper
• Additional Information: The views expressed here are those of the author and not necessarily those of the Bank for International Settlements.
• Institution: BIS
• Language: English
• Keywords: Bond future; delivery option; delta; gamma; HJM gaussian model; in-the-model; out-of-the-model
• Subjects: G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing; Futures Pricing; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E43 - Determination of Interest Rates; Term Structure of Interest Rates

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