Thus the conclusions of this section are as follows. The return on an
individual hedge portfolio is uncorrelated with the return on the market, but
the return on the hedge is not independent of the return on the market. If a
portfolio of hedges is constructed, the return on the portfolio is uncorrelated
with the market. However the returns on the individual hedges in the
portfolio are not uncorrelated with each other. It is sometimes claimed in
empirical work that the formation of portfolio of option hedges eliminates
the risks associated with discrete hedging. We would suggest that this
procedure may reduce such risks but that it does not eliminate them.