   蠗2. BI, PYTHON
 


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BI, PYTHON



 



  , 2026



ISBN 978-5-0070-3362-6 (. 2)

ISBN 978-5-0070-3363-3

     Ridero




    







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     (MPT, Mean-Variance Analysis):          ;   . : Markowitz H. Portfolio Selection (Journal of Finance, 1952);  Modern Portfolio Theory by Jack Clark Francis (2013).




     (Sharpe Single Index Model):  MPT,          ;     . : Sharpe W. A Simplified Model for Portfolio Analysis (Management Science, 1963).






     (CAPM):   =   +  *  ;     . : Sharpe W. Capital Asset Prices: A Theory of Market Equilibrium (Journal of Finance, 1964);  Portfolio Theory and Capital Markets (2004).




: Arbitrage Pricing Theory (APT, Ross, 1976), Black-Litterman  (1990)   MPT/CAPM,   Modern Portfolio Theory: Foundations, Analysis, and New Developments (Francis & Kim, 2013).






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       mean-variance , CAPM  ,     .           .




 

 Portfolio Selection (1952, Journal of Finance):   Harry Markowitz,  MPT,      -.    .




 Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk (1964, Journal of Finance): William Sharpe  CAPM,     .




 

 Modern Portfolio Theory and Investment Analysis (Elton, Gruber, Brown, Goetzmann):   MPT  ,   ;      .




 Investments (Bodie, Kane, Marcus):     , CAPM, APT    ;   .




 

 Portfolio Theory and Capital Markets (William Sharpe, 1970/2009):  CAPM    MPT   .




 Modern Portfolio Theory: Foundations, Analysis, and New Developments (Francis, Kim, 2013):  MPT,   (Black-Litterman),  Excel-.




    Google Books, Amazon  JSTOR;     Python-  PyPortfolioOpt.






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     (CAPM):   =   +  *  ;     . : Sharpe W. Capital Asset Prices: A Theory of Market Equilibrium (Journal of Finance, 1964);  Portfolio Theory and Capital Markets (2004).




: Arbitrage Pricing Theory (APT, Ross, 1976), Black-Litterman  (1990)   MPT/CAPM,   Modern Portfolio Theory: Foundations, Analysis, and New Developments (Francis & Kim, 2013).






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       mean-variance , CAPM  ,     .           .




 

 Portfolio Selection (1952, Journal of Finance):   Harry Markowitz,  MPT,      -.    .




 Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk (1964, Journal of Finance): William Sharpe  CAPM,     .




 

 Modern Portfolio Theory and Investment Analysis (Elton, Gruber, Brown, Goetzmann):   MPT  ,   ;      .




 Investments (Bodie, Kane, Marcus):     , CAPM, APT    ;   .




 

 Portfolio Theory and Capital Markets (William Sharpe, 1970/2009):  CAPM    MPT   .




 Modern Portfolio Theory: Foundations, Analysis, and New Developments (Francis, Kim, 2013):  MPT,   (Black-Litterman),  Excel-.




    Google Books, Amazon  JSTOR;     Python-  PyPortfolioOpt.






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RH-Quantum Portfolio (2026), NSGA   ,  

NSGA-II (Non-dominated Sorting Genetic Algorithm II) is a popular multi-objective evolutionary optimization algorithm used in portfolio optimization to balance risk and return. RH-Quantum Portfolio (2026) likely refers to a quantum-inspired or hybrid portfolio optimization approach projected for 2026, possibly incorporating NSGA-II with quantum annealing or variational methods for enhanced performance in financial modeling. [1] [2] [3]

Core Concept

NSGA-II ranks solutions by non-domination levels and crowding distance to generate Pareto-optimal portfolios, outperforming classical methods like Markowitz in handling constraints such as semi-variance, liquidity, and cardinality. [2] [4] [5] In quantum contexts, it hybridizes with algorithms like QAOA or VQE for complex, higher-order moment optimizations (e.g., skewness, kurtosis) relevant to 2026 quantum hardware advances. [6] [7] [3] This suits 2026 portfolios amid rising quantum computing stocks like D-Wave (QBTS) and IonQ (IONQ), which emphasize optimization for finance.




Key Applications

 Risk-Return Trade-off: NSGA-II yields portfolios with superior returns (e.g., 41.25% annualized) and lower risk than baselines, tested on indices like Tehran Stock Exchange or S&P100.




 Quantum Integration: D-Waves annealing optimizes 60-stock portfolios; hybrids with NSGA-II target NISQ-era limits for 2026 commercial use in finance.




 2026 Relevance: Aligns with forecasts for fault-tolerant systems enabling real-world portfolio tools, reducing computation for combinatorial problems.




Literature

 Portfolio Optimization Utilizing Multi-Objective NSGA-II (SSRN, 2024): Applies NSGA-II to 132 Tehran stocks, showing better risk-return profiles.




 Design of Optimum Portfolio Scheme Based on Improved NSGA-II (PMC, 2022): Improves convergence for financial multi-objectives, achieving 70.08% predicted profits.




 Multiobjective Approach to Portfolio Optimization with NSGA-II (Vilnius Tech, 2020): Uses credibilistic ratios for fuzzy risk-return-liquidity models on S&P100.




 Quantum Portfolio Optimization with Expert Analysis (arXiv, 2025): Benchmarks VQE/QAOA, relevant for NSGA hybrids.




 On NSGA-II and NSGA-III in Portfolio Management (TechScience, 2021): Compares genetic algorithms for constrained models.






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