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This thesis adopts the period between the dates of Jan. 3, 2005 to Dec. 20, 2006 as the research observation and the period between the dates of Dec. 21, 2006 to Dec. 19, 2007 as research verification. First of all, it was to explore whether the number of month for call was more than that for put for the duration on 12 months in one year for Taiwan Stock- Index Options (TXO) market. Next followed with testing the data collected during the observation period and with the intention to locate the call and put options within 12 months of trade in one year, and its corresponding relationships, in addition, the findings and the information collected during experimentation should be compared and studied. Through the averaging method, it summarized the findings result. And within the 12 months in a year, the number of month for put option strategy was more than that for call option strategy. And in the month of March, it is found to be suited for sell the call option strategy. And in the months of February, May and July, these months were suited for sell the put options. If the operations and strategies are like：one tick out-of-the-money for buying call option, two ticks out-of-the-money for selling call option, five ticks out-of-the-money for buying the put option, two ticks out-of-the-money for selling the put option, then under the same tick for the exercise price, continuing on the operations for the duration of 12 months, the difference for the point of the exercise would be the positive number.
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