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File:Mean-variance analysis, quadratic optimization 3D.gif

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English: Example of mean-variance analysis quadratic optimization. The ellipsoid is the contour of constant variance. The x+y+z=1 plane is the space of portfolios. The other plane is the contour of constant expected return.

To replicate: Let m be a variable. Plane of possible portfolios: x + y + z = 1 Plane of constant expected return rate: x + 3y - z = m Ellipsoid of constant variance: x^2 + 3y^2 + 2z^2 = (11m^2-18m+27)/36

Point of optimal portfolio: (m+9, 4m, -5m+9)/18

https://www.geogebra.org/calculator/xyfapecz
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Author Cosmia Nebula

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current18:52, 29 January 2024Thumbnail for version as of 18:52, 29 January 20241,200 × 799 (11.72 MB)Cosmia Nebula (talk | contribs)Uploaded while editing "Modern portfolio theory" on en.wikipedia.org

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