Is there an Index of the stock market that you can buy/sell options for?

If the stock market is going up and I wanted to use options for the broad market, is there and index or fund that I could do that with?

You can get a list of all the index options, including more than 25 considered broad market, traded on the CBOE at

http://www.cboe.com/Products/Cash-SettledIndexOptions.aspx#broadbased

If you are interested in ETFs as well, you can find them at