Abstract

Abstract This paper establishes the non-linear functional relationship of risk overlap of incremental and existing portfolios. The decision-making model for incremental loan portfolio is based on how total loan portfolio optimization is built. The contributions and characteristics lie in three aspects. The first contribution is to put forward the scientific problem of controlling total portfolio risk based on risk overlapping of incremental and existing portfolios while putting out an incremental portfolio. The whole control of incremental and existing portfolios is the top issue, which not only exploits new idea about optimal allocation and control of financial assets but also alters traditional idea merely considering the risk of incremental portfolios. The second contribution is to establish the non-linear function relation of overlap between incremental and existing portfolios. Based on the theory of non-linear overlap of total portfolio, the function expression connecting total portfolio with incremental and existing portfolios is built. The third contribution is the controlling of total risk after overlapping between the existing and incremental portfolios risk. It solves the problem of how to control and optimize total portfolio risk while allocating an incremental portfolio.

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