Optimal Portfolio With Risk Control
 
                 
                
                    
                                        
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Graphical Abstract
 
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Abstract
    In this paper, we introduce a model of log-optimal portfolio selection with risk constraint. We study the properties of doubling rate-risk function and critical risk and estimate the the maximal and minimal risks. Examples for which the precisely analytic form of doubling rate-risk function is available are provided.
 
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