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This paper analyses the role of liquidity in the price discovery process. Specifically, we focus on the credit derivatives markets in the context of the subprime crisis. We present a theoretical price discovery model for the asset swap packages (ASPs), bond and credit default swap (CDS) markets and then we test the model with data from 2005 to 2009 on Euro-denominated non-financial firms. Our empirical results show that the ASP market clearly leads the bond market in the price discovery process in all cases, while the leadership between ASPs and CDSs is very sensitive to the appearance of the subprime crisis. Before the crisis, the CDSs market leads the ASP market, but during the crisis, the ASP market leads the CDS market. The liquidity, measured as the relative number of market participants, helps to explain these results.