In order to solve the problem of how to choose a financing strategy for supply chain enterprises with financial constraints, including the manufacturer and the retailer, this paper puts forward two financing strategies in the bilateral supply chain with uncertain output and certain demand. The two financing strategies are the noncollaborative financing (finance from a bank separately (FBS)) and the collaborative financing (finance from a bank uniformly (FBU)). It derives the production order formula of the supply chain enterprises under financial constraints. Under the complete information, according to this formula, it analyzes how the bank prices the loan interest rates and finds the optimal decisions under the two financing strategies. The following results are found: (1) The manufacturer’s planned output is negatively correlated with the bank’s loan interest rate. The increased interest rates do not necessarily lead to the increased bank’s loan profits. (2) The bank’s loan profit is higher, when the supply chain enterprises choose the FBS strategy. (3) The FBU strategy does not necessarily make the profits of the manufacturer and the retailer better. It is affirmative only if some parameters in the supply chain meet certain conditions. The above-mentioned conclusions supply a policy guiding the supply chain enterprises with financial constraints to make a choice of the financing strategy.
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