Ledenyov, Dimitri O. and Ledenyov, Viktor O. (2013): Tracking and replication of hedge fund optimal investment portfolio strategies in global capital markets in presence of nonlinearities.
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Abstract
The hedge fund represents a unique investment opportunity for the institutional and private investors in the diffusion-type financial systems. The main objective of this condensed article is to research the hedge fund’s optimal investment portfolio strategies selection in the global capital markets with the nonlinearities. We provide a definition for the hedge fund, describe the hedge fund’s organization structures and characteristics, discuss the hedge fund’s optimal investment portfolio strategies and review the appropriate hedge fund’s risk assessment models for investing in the global capital markets in time of high volatilities. We analyze the advanced techniques for the hedge fund’s optimal investment portfolio strategies replication, based on both the Stratonovich – Kalman - Bucy filtering algorithm and the particle filtering algorithm. We developed the software program with the embedded Stratonovich – Kalman - Bucy filtering algorithm and the particle filtering algorithm, aiming to track and replicate the hedge funds optimal investment portfolio strategies in the practical cases of the non-Gaussian non-linear chaotic distributions.
Item Type: | MPRA Paper |
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Original Title: | Tracking and replication of hedge fund optimal investment portfolio strategies in global capital markets in presence of nonlinearities |
English Title: | On the tracking and replication of hedge fund optimal investment portfolio strategies in global capital markets in presence of nonlinearities, applying Bayesian filters: 1. Stratanovich – Kalman – Bucy filters for Gaussian linear investment returns distribution and 2. Particle filters for non-Gaussian non-linear investment returns distribution |
Language: | English |
Keywords: | hedge fund, investment portfolio, investment strategy, global tactical asset allocation investment strategy, investment decision making, return on investments, value at risk, arbitrage pricing theory, Sharpe ratio, separation theorem, Sortino ratio, Sterling ratio, Calmar ratio, Gini coefficient, value at risk (VaR), Ledenyov investment portfolio theorem, stability of investment portfolio, Kolmogorov chaos theory, Sharkovsky chaos theory, Lyapunov stability criteria, bifurcation diagram, nonlinearities, stochastic volatility, stochastic probability, Markov chain, Bayesian estimation, Bayesian filters, Wiener filtering theory, Stratonovich optimal non-linear filtering theory, Stratonovich – Kalman – Bucy filtering algorithm, Hodrick-Prescott filter, Hirose - Kamada filter, particle filtering methods, particle filters, multivariate filters, Gaussian linear distribution, non-Gaussian nonlinear distribution, Monte-Carlo simulation, Brownian motion, diffusion process, econophysics, econometrics, global capital markets. |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C35 - Discrete Regression and Qualitative Choice Models ; Discrete Regressors ; Proportions C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C38 - Classification Methods ; Cluster Analysis ; Principal Components ; Factor Models C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics C - Mathematical and Quantitative Methods > C4 - Econometric and Statistical Methods: Special Topics > C46 - Specific Distributions ; Specific Statistics C - Mathematical and Quantitative Methods > C5 - Econometric Modeling C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C53 - Forecasting and Prediction Methods ; Simulation Methods C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C58 - Financial Econometrics C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology ; Computer Programs C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology ; Computer Programs > C87 - Econometric Software D - Microeconomics > D8 - Information, Knowledge, and Uncertainty D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D84 - Expectations ; Speculations |
Item ID: | 51176 |
Depositing User: | Prof. Viktor O. Ledenyov |
Date Deposited: | 05 Nov 2013 14:44 |
Last Modified: | 26 Sep 2019 15:42 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/51176 |
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On the tracking and replication of hedge fund optimal investment portfolio strategies in global capital markets in presence of nonlinearities, applying Bayesian filters: 1. Stratanovich – Kalman – Bucy filters for Gaussian linear investment returns distribution and 2. Particle filters for non-Gaussian non-linear investment returns distribution. (deposited 31 Oct 2013 08:41)
- Tracking and replication of hedge fund optimal investment portfolio strategies in global capital markets in presence of nonlinearities. (deposited 05 Nov 2013 14:44) [Currently Displayed]