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The purpose is to compare the perfect Stochastic Return (SR) model likeIslamic banks to the Fixed Return (FR) model as in conventional banks bymeasuring up their impacts at the macroeconomic level. We prove that if theoptimal choice of investor share in SR model {\alpha}* realizes theindifference of the financial institution toward SR and FR models, there exists{\alpha} less than {\alpha}* such that the banks strictly prefers the SR model.Also, there exists {\alpha}, {\gamma} and {\lambda} verifying the conditions of{\alpha}-sharing such that each party in economy can be better under the SRmodel and the economic welfare could be improved in a Pareto-efficient way.

Banking Stability System: Does it Matter if the Rate of Return is Fixed or Stochastic?