The empirical evidence supports the signaling theory is still controversial and shows that a pooling equilibrium exists as the low-quality IPOs imitate the pricing strategy of the high-quality ones. The major assumption is that the market will impose a penalty on the issuers who do not signal their true type. This result shows that the type of market equilibrium is related to the existence of the penalty cost. With a costly mechanism, the model demonstrates that a separating equilibrium exists. That is, the offering price of the high-quality IPOs will be lower than that of the low-quality IPOs. Without a costly mechanism, a pooling equilibrium exists as both types of issuers sell shares at the same offering price.