We use a search model to explore the effect of money injections through banks and discuss the effect when banks with full enforcement and limited enforcement. In the model we assume that banks lend out the fraction of the deposits and lend out all the money injections. People have two assets, money and short-term bonds. Only money can be used as the medium of exchange. Short-term bonds are used as collateral when banks with limited enforcement and the loan amount is constrained by the value of the collateral. We found that money injections will have liquidity effects under both enforcement. However, liquidity effects will occur only when loanable funds effect is stronger than Fisher effect.