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In P2P streaming system, real-time performance is very important for evaluating quality of service, which directly determines the user experience. However, real-time performance is restricted by server bandwidth cost. Based on the proposed data transmitting model, this paper investigates the recursiveness of real-time performance through theoretical analysis, and computes its relationship with server bandwidth cost. The impact of system scale and service capacity of peer is also discussed. Especially, we consider both overlay diameter and the one hop delay in the investigation, hence can obtain more exact results. Our findings are of great importance for the design and deployment of P2P streaming system.