Interest rate option hedging portfolios without bank account

This paper aims to study the conditions for the hedging portfolio of any contingent claim on bonds to have no bank account part.

Hedging and Malliavin calculus techniques recently developed under a stochastic string framework are applied.

A necessary and sufficient condition for the hedging portfolio to have no bank account part is found. This condition is applied to a barrier option, and an example of a contingent claim whose hedging portfolio has a bank account part different from zero is provided.

To the best of the authors’ knowledge, this is the first time that this issue has been addressed in the literature.