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How can put options be used to buy shares at a lower price?
If you are looking for a simple formula or buying order / strategy to guarantee a lower buying price, unfortunately this does not exist.  Otherwise, all investors would employ this strategy and the financial markets would no longer have an validity (aka arbitrage).  Buying any investment contains a certain level of risk (other than US treasuries of course). Having said that, there are many option buying strategies that can employed to help increase your ROR or hedge an existing position.  Most of these strategies are based a predicted future direction of a stock on the investor's part.  For example, you hold the Ford stock and feel they are releasing their earnings report next week.  You feel that they will not meet investors' expectations.  You don't want to sell your shares but what you can do is buy put options.  If the stock does indeed go down then you make money on your put options. Here is a document on options.  It is moderately technical but very good if you want a good introduction on the subject.  The strategy that I described above is on pg 33. http://www.m-x.ca/f_publications_en/en.guide.options.pdf