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Literature Review: STOCK MARKET PORTFOLIO 1
Literature Review of research papers on Stock Market Portfolio
Prakash Ashu, Research Intern
National Research Tomsk Polytechnic University
Guided by –
Prof Mikhail Semenov
Department of Higher Mathematics & Mathematical Physics
Institute of Physics and Technology
National Research Tomsk Polytechnic University, Tomsk, Russia
STOCK MARKET PORTFOLIO 2
Abstract
This paper provides a review of the research papers on Methods of risk measurement and profit
generation in Stock Market Portfolio given by Dr. Mikhail Semenov, Associate Professor,
Department of High Mathematics and Mathematical Physics, National Research Tomsk
Polytechnic University, Tomsk, Russia. I have tried to sum up all the papers of my interest briefly
in this literature review. I have developed some interest in Methods section of this project.
Keywords: Portfolio, Combinatorial Optimization, Multistage decision problems, Arbitrage
pricing, Stochastic Programming.
STOCK MARKET PORTFOLIO 3
Literature Review of research papers on Stock Market Portfolio
Methods
This section of papers mainly deals with the techniques of solving the models for a
successful business, say by minimizing the risk and maximizing the profits.
Papers:
Generating market risk scenarios using principal component analysis – Mico Loretan
Combinatorial Optimization: Current Successes and directions for the future – Hoffman
Generating scenario trees for multistage decision problems – Holland & Wallace + Klaasen*
An algorithm for moment matching scenario generation with application to finance portfolio
optimization – Ponomareva, Roman & Date
Review.
The first paper deals with the Principal Component Analysis (PCA) as it is one of the
easiest way for extracting market risk factors from observed data. More are the factors, more is
the accuracy to minimize the risk. This paper also covers the data analysis of the data
observations on spot exchange rates, stock market indexes and interest rates of some countries.
The second paper is summed up with the different techniques of optimization using
different optimization tools. We have methods like column generation, and different solution
strategies like Enumerative approaches, decomposition methods. We also have different hybrid
algorithms to solve such problems. Stochastic programming is one important aspect of solving
such problems.
STOCK MARKET PORTFOLIO 4
The third paper on Tree Scenario Generation for multistage decision problems deals with
approximating the uncertainties by a limited number of discrete outcomes. Probability
distributions are used to generate the samples of data. Arbitrage opportunities are detected via
these methods.
The fourth paper by Ponomareva, published in 2014 and republished in 2015 is the
presentation of an algorithm for moment matching scenario generation and to optimize the
financial portfolio. This algorithm is computationally stronger than other optimization
techniques. The algorithm generates scenario in an average expected shortfall portfolio
optimization model.
STOCK MARKET PORTFOLIO 5
References
Loretan, (1997). Generating market risk scenarios using principal components analysis
Hoffman, (2000). Combinatorial Optimization: Current successes and directions for the future
Holland, Wallace, (2001). Generating Scenario Trees for Multistage decision problems
Klaasen, (2002). Comment on “Generating Scenario Trees for Multistage decision problems
Ponomareva, Roman, Date, (2014,15). An algorithm for moment matching scenario generation
with application to financial portfolio optimization.
Eichhorn, Heitsch, Romisch. Stochastic optimization for electricity portfolios: Scenario Tree
Modelling and Risk Management.

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Literature Review of research papers on Stock Market Portfolio

  • 1. Literature Review: STOCK MARKET PORTFOLIO 1 Literature Review of research papers on Stock Market Portfolio Prakash Ashu, Research Intern National Research Tomsk Polytechnic University Guided by – Prof Mikhail Semenov Department of Higher Mathematics & Mathematical Physics Institute of Physics and Technology National Research Tomsk Polytechnic University, Tomsk, Russia
  • 2. STOCK MARKET PORTFOLIO 2 Abstract This paper provides a review of the research papers on Methods of risk measurement and profit generation in Stock Market Portfolio given by Dr. Mikhail Semenov, Associate Professor, Department of High Mathematics and Mathematical Physics, National Research Tomsk Polytechnic University, Tomsk, Russia. I have tried to sum up all the papers of my interest briefly in this literature review. I have developed some interest in Methods section of this project. Keywords: Portfolio, Combinatorial Optimization, Multistage decision problems, Arbitrage pricing, Stochastic Programming.
  • 3. STOCK MARKET PORTFOLIO 3 Literature Review of research papers on Stock Market Portfolio Methods This section of papers mainly deals with the techniques of solving the models for a successful business, say by minimizing the risk and maximizing the profits. Papers: Generating market risk scenarios using principal component analysis – Mico Loretan Combinatorial Optimization: Current Successes and directions for the future – Hoffman Generating scenario trees for multistage decision problems – Holland & Wallace + Klaasen* An algorithm for moment matching scenario generation with application to finance portfolio optimization – Ponomareva, Roman & Date Review. The first paper deals with the Principal Component Analysis (PCA) as it is one of the easiest way for extracting market risk factors from observed data. More are the factors, more is the accuracy to minimize the risk. This paper also covers the data analysis of the data observations on spot exchange rates, stock market indexes and interest rates of some countries. The second paper is summed up with the different techniques of optimization using different optimization tools. We have methods like column generation, and different solution strategies like Enumerative approaches, decomposition methods. We also have different hybrid algorithms to solve such problems. Stochastic programming is one important aspect of solving such problems.
  • 4. STOCK MARKET PORTFOLIO 4 The third paper on Tree Scenario Generation for multistage decision problems deals with approximating the uncertainties by a limited number of discrete outcomes. Probability distributions are used to generate the samples of data. Arbitrage opportunities are detected via these methods. The fourth paper by Ponomareva, published in 2014 and republished in 2015 is the presentation of an algorithm for moment matching scenario generation and to optimize the financial portfolio. This algorithm is computationally stronger than other optimization techniques. The algorithm generates scenario in an average expected shortfall portfolio optimization model.
  • 5. STOCK MARKET PORTFOLIO 5 References Loretan, (1997). Generating market risk scenarios using principal components analysis Hoffman, (2000). Combinatorial Optimization: Current successes and directions for the future Holland, Wallace, (2001). Generating Scenario Trees for Multistage decision problems Klaasen, (2002). Comment on “Generating Scenario Trees for Multistage decision problems Ponomareva, Roman, Date, (2014,15). An algorithm for moment matching scenario generation with application to financial portfolio optimization. Eichhorn, Heitsch, Romisch. Stochastic optimization for electricity portfolios: Scenario Tree Modelling and Risk Management.