The layout of the paper is as follows. Section 2 derives an approximate
expression for the return on the hedge when rebalancing occurs at discrete
intervals. This result has been derived earlier by Thorpe (1976). The return
on the hedge portfolio can be expressed as the product of three components.
These are:
(i) a deterministic function of the underlying variables evaluated at the time
when the hedge is constructed;
(ii) a random variable drawn from a chi-squared distribution with one
degree of freedom and translated to have a mean of zero;
(iii) the time interval between adjustments to the hedge.