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Portfolio Optimization. Literature Review Portfolio Optimization without Transaction Costs Portfolio Optimization with Transaction Costs. Markowitz. Return. Mean-Variance Model. Risk. Sharpe. Skewness. Arrow. Basic Scenario-Based Portfolio Optimization. Downside Risk. Merton.
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Portfolio Optimization • Literature Review • Portfolio Optimization without Transaction Costs • Portfolio Optimization with Transaction Costs
Markowitz Return Mean-Variance Model Risk Sharpe Skewness Arrow Basic Scenario-Based Portfolio Optimization Downside Risk Merton High-Order Moments Ralph
Mean-Variance Model • Markowitz, H. (1991), Portfolio Selection, 2nd Edition, USA: Blackwell. • Sharpe, W. (1970), Portfolio Theory and Capital Markets, New York: McGraw-Hill.
Scenario-Based Analysis: • Arrow, K. (1970), Essays in the Theory of Risk Bearing, Amsterdam: North Holland. • Merton, R. (1990), Continuous Time Finance, Oxford:Blackwell.
Ralph’s Optimal Fractional Trading Model • Ralph, V. (1990), Portfolio Management Formulas: Mathematical Trading Methods for the Futures, Options and Stock Markets, New York: John Wiley & Sons.
Ralph’s Optimal Fractional Trading Model • Ralph, V. (1992), The Mathematics of Money Management: Risk Analysis Techniques for Traders, New York: John Wiley & Sons. • Ralph, V. (1995), The New Money Management: A Framework for Asset Allocation,New York: John Wiley & Sons.
Portfolio Optimization • What is it? • Mathematics
Portfolio Optimization with Transaction Costs • Transaction Costs • Mathematics