You have a position in 2000 shares of a technology stock at 200 Australian dollars per share with an annualized standard deviation of changes in the price of the stock being 30 percent. Say that you want to hedge this position over a one-year horizon with a technology stock index. Suppose that the index value has an annual standard deviation of 20 percent. The correlation between the stock and index annual changes is 0.8. A unit of the index is 250 equivalent to Australian dollars. How many units of the index should you hold to have the best hedge? Do you go long or short the index?