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Wefurtherfindthatforgroupswhichgivepositivereturn,riskisalignedwithreturn,i.e.asretur...
We further find that for groups which give positive return, risk is aligned with return, i.e. as return increases, risk also increases. We then derive the efficient frontier for investments on Prosper and determine the optimal portfolio of investments for a given level of risk. The maximum possible return for a given level of risk is summarized in Table 1. Table 2 summarizes the optimal % investment in each subgroup to maximize return at various levels of risk. The key finding of this analysis is that the subgroups of loans with higher risk are more efficient in terms of risk and return alignment, i.e., they provide more return for a given risk as compared to loans with lower risk. Our results also suggest that lenders, who are not willing to take high risk, should diversify their portfolio (i.e. invest in subgroups of loans of all credit grades) to maximize return, whereas borrowers who are willing to take more risk can maximize their return by investing in only the subgroups of loans with lower risk.
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此外我们还发现,对於那些能产生收益的集团(组、群),风险与收益总是成比例的。譬如,如果收益较高,那麼风险可能也不会低。之後,我们获得了给予Prosper的投资中最有收益的前沿领域,并针对特定级别的风险,制定了最优的投资组合。表(1)中总结了特定等级的风险所对应的最大可能收益,表二则归纳了每个子集中最优的投资比例,以期面对各等级的风险,都能使收益最大化。本分析的最大发现,在於各项贷款的子集中风险较高者,在风险与收益比例方面的效益更大这一点。譬如,相较风险较低者,风险较高者所能产生针对特定风险的收益反而较高。综上,我们建议,若借出方不愿承担高风险,则应使其投资组合多样化(譬如:对各信用等级的贷款子集进行投资),以使回报最大。至於贷款人,若希望承担高风险,则可以只针对风险较低的贷款子集进行投资,以使收益最大化。
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