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Why would a stock opening price differ from the offering price?
The offering price is what the company will raise by selling the shares at that price.  However, this isn't usually what the general public sees as often there will be shows to drive up demand so that there will be buyers for the stock.  That demand is what you see on the first day when the general public can start buying the stock.  If one is an employee, relative or friend of someone that is offered, "Friends and Family" shares they may be able to buy at the offering price. Pricing of IPO from Wikipedia states around the idea of pricing: A company planning an IPO typically appoints a lead manager, known as   a bookrunner, to help it arrive at an appropriate price at which the   shares should be issued. There are two primary ways in which the price   of an IPO can be determined. Either the company, with the help of its   lead managers, fixes a price ("fixed price method"), or the price can   be determined through analysis of confidential investor demand data   compiled by the bookrunner ("book building"). Historically, some IPOs both globally and in the United States have   been underpriced. The effect of "initial underpricing" an IPO is to   generate additional interest in the stock when it first becomes   publicly traded. Flipping, or quickly selling shares for a profit, can   lead to significant gains for investors who have been allocated shares   of the IPO at the offering price. However, underpricing an IPO results   in lost potential capital for the issuer. One extreme example is   theglobe.com IPO which helped fuel the IPO "mania" of the late 90's   internet era. Underwritten by Bear Stearns on November 13, 1998, the   IPO was priced at $9 per share. The share price quickly increased   1000% after the opening of trading, to a high of $97. Selling pressure   from institutional flipping eventually drove the stock back down, and   it closed the day at $63. Although the company did raise about $30   million from the offering it is estimated that with the level of   demand for the offering and the volume of trading that took place the   company might have left upwards of $200 million on the table. The danger of overpricing is also an important consideration. If a   stock is offered to the public at a higher price than the market will   pay, the underwriters may have trouble meeting their commitments to   sell shares. Even if they sell all of the issued shares, the stock may   fall in value on the first day of trading. If so, the stock may lose   its marketability and hence even more of its value. This could result   in losses for investors, many of whom being the most favored clients   of the underwriters. Perhaps the best known example of this is the   Facebook IPO in 2012. Underwriters, therefore, take many factors into consideration when   pricing an IPO, and attempt to reach an offering price that is low   enough to stimulate interest in the stock, but high enough to raise an   adequate amount of capital for the company. The process of determining   an optimal price usually involves the underwriters ("syndicate")   arranging share purchase commitments from leading institutional   investors. Some researchers (e.g. Geoffrey C., and C. Swift, 2009) believe that   the underpricing of IPOs is less a deliberate act on the part of   issuers and/or underwriters, than the result of an over-reaction on   the part of investors (Friesen & Swift, 2009). One potential method   for determining underpricing is through the use of IPO Underpricing   Algorithms. This may be useful for seeing the difference in that "theglobe.com" example where the offering price is $9/share yet the stock traded much higher than that initially.