Increasing the size of a hedge to a level that is greater than the exposure faced by a firm or individual may take it into the realm of speculation. For example, an investor with a stock portfolio of $1 million who wishes to hedge downside risk in the broad market can do so by buying put options of a similar amount on the S&P 500. Double hedging would occur if the investor also initiates an additional short position in the S&P 500 using index futures contracts.