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one way to hedge well-diversified equity portfolio is to reduce its beta or to neutralize its beta and here Id like to show in two steps with a simple and then the more complicated example that follows John hole Id like to try and show the intuition for how we determine the number of futures contracts that would reduce or neutralize the portfolios beta and the key is to think about the dollar beta which is the product of the portfolios value and its beta thats the dollar beta so here is the formula for the special case of changing the beta of a well-diversified equity portfolio and we know from experience that it can be hard to access the intuition of this formula and so for that reason I have this in Im illustrating this in two steps the first step here is my simple case and then the second step generalizes by showing you John Halls example and the key idea I think my opinion here is to focus on the dollar beta more than the beta so if we look at this formula right here if we