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2 votes
0 answers
201 views

Can genetic algorithm help in portfolio optimisation when convexity is not verifiable

I have the following portfolio cost function to maximise: $$ w^T\mu-\frac{1}{2}\gamma w^T\Sigma w+\frac{1}{6}\gamma^2 w^TM_3(w\otimes w), $$ which considers the co-skewness ($M_3$ tensor), $γ$ is the ...
Luigi87's user avatar
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1 vote
1 answer
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How to transform a cubic optimisation problem into a quadratic for portfolio allocation

I have the following cost function for portfolio allocation: $$ w^T\mu-\frac{1}{2}\gamma w^T\Sigma w+\frac{1}{6}\gamma^2 w^TM_3(w\otimes w), $$ which considers also the co-skewness ($M_3$ tensor), $\...
Luigi87's user avatar
  • 326