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  1. Non-Mean-Variance Portfolio Theory

    The discussion on the Markowitz theory and the CAPM was based on the mean-variance framework, wherein the assumption was that the assets follow a...
    Siddhartha Pratim Chakrabarty, Ankur Kanaujiya in Mathematical Portfolio Theory and Analysis
    Chapter 2023
  2. Mean-Variance Portfolio Theory

    Given the huge array of investment alternatives available in a market, such as basic securities and derivatives, the investors’ choice needs to be...
    Siddhartha Pratim Chakrabarty, Ankur Kanaujiya in Mathematical Portfolio Theory and Analysis
    Chapter 2023
  3. The Impact of General Correlation Under Multi-Period Mean-Variance Asset-Liability Portfolio Management

    This paper studies the multi-period mean-variance (MV) asset-liability portfolio management problem (MVAL), in which the portfolio is constructed by...

    ** Wu, Wei** Wu, Yu Lin in Journal of Systems Science and Complexity
    Article 21 October 2023
  4. Non-Markovian Mean-Variance Portfolio Selection Problems via Closed-Loop Equilibrium Strategies

    In this article, a class of mean-variance portfolio selection problems with constant risk aversion is investigated by means of closed-loop...

    **zhi Su, Tianxiao Wang, ... Chao Zhou in Applied Mathematics & Optimization
    Article 11 December 2023
  5. Closed-form pricing formulas for variance swaps in the Heston model with stochastic long-run mean of variance

    The Heston model is a popular stochastic volatility model in mathematical finance and it has been extended or modified in several ways by researchers...

    Youngin Yoon, Jun-Ho Seo, Jeong-Hoon Kim in Computational and Applied Mathematics
    Article 06 July 2022
  6. Continuous-Time Mean-Variance Portfolio Selection Under Non-Markovian Regime-Switching Model with Random Horizon

    This paper considers a continuous-time mean-variance portfolio selection with regime-switching and random horizon. Unlike previous works, the dynamic...

    Tian Chen, Ruyi Liu, Zhen Wu in Journal of Systems Science and Complexity
    Article 19 April 2023
  7. Optimal Pairs Trading Strategies: A Stochastic Mean–Variance Approach

    In this paper, we consider optimal pairs trading strategies in terms of static optimality and dynamic optimality under mean–variance criterion. The...

    Fenghui Yu, Wai-Ki Ching, ... Jia-Wen Gu in Journal of Optimization Theory and Applications
    Article 19 November 2022
  8. Hybrid strategy in multiperiod mean-variance framework

    In multiperiod mean-variance framework, the investor suffers time inconsistency. Current solution schemes either reformulate the problem into a...

    **angyu Cui, Duan Li, ... Mingjia Zhu in Optimization Letters
    Article 07 June 2022
  9. Inference on autoregulation in gene expression with variance-to-mean ratio

    Some genes can promote or repress their own expressions, which is called autoregulation. Although gene regulation is a central topic in biology,...

    Yue Wang, Siqi He in Journal of Mathematical Biology
    Article Open access 03 May 2023
  10. Dynamic mean–variance problem with frictions

    We study a dynamic mean–variance portfolio selection problem with return predictability and trading frictions from price impact. Applying mean-field...

    Alain Bensoussan, Guiyuan Ma, ... Sheung Chi Phillip Yam in Finance and Stochastics
    Article 15 March 2022
  11. Alternative Ways for the Covariance Between Sample Mean and Variance

    We derive a new expression for the covariance between sample mean and variance in terms of the moments of sample observations. Several corollaries...

    Article 04 August 2022
  12. Continuous-Time Markowitz’s Mean-Variance Model Under Different Borrowing and Saving Rates

    We study Markowitz’s mean-variance portfolio selection problem in a continuous-time Black–Scholes market with different borrowing and saving rates....

    Chonghu Guan, **aomin Shi, Zuo Quan Xu in Journal of Optimization Theory and Applications
    Article 06 July 2023
  13. Survey on Multi-period Mean–Variance Portfolio Selection Model

    Due to the non-separability of the variance term, the dynamic mean–variance (MV) portfolio optimization problem is inherently difficult to solve by...

    **ang-Yu Cui, Jian-Jun Gao, ... Yun Shi in Journal of the Operations Research Society of China
    Article 05 April 2022
  14. Mean-Variance Portfolios

    In this chapter we study a multi-period version of the classical mean-variance problem. The mean-variance problem is a cornerstone of modern...
    Tomas Björk, Mariana Khapko, Agatha Murgoci in Time-Inconsistent Control Theory with Finance Applications
    Chapter 2021
  15. Mean-Variance Control

    In this chapter we will consider dynamic mean-variance optimization. This is a continuous-time version of a standard Markowitz investment problem,...
    Tomas Björk, Mariana Khapko, Agatha Murgoci in Time-Inconsistent Control Theory with Finance Applications
    Chapter 2021
  16. Optimal Reinsurance and Investment Strategies Under Mean-Variance Criteria: Partial and Full Information

    This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving...

    Shihao Zhu, **gtao Shi in Journal of Systems Science and Complexity
    Article 05 August 2022
  17. A new global algorithm for factor-risk-constrained mean-variance portfolio selection

    We consider the factor-risk-constrained mean-variance portfolio-selection (MVPS) problem that allows managers to construct portfolios with desired...

    Huixian Wu, Hezhi Luo, ... Jianzhen Liu in Journal of Global Optimization
    Article 10 August 2022
  18. Monitoring Mean and Variance Change-Points in Long-Memory Time Series

    This paper proposes two ratio-type statistics to sequentially detect mean and variance change-points in the long-memory time series. The limiting...

    Zhanshou Chen, Fuxiao Li, ... Yuhong **ng in Journal of Systems Science and Complexity
    Article 23 October 2021
  19. Optimal pairs trading with dynamic mean-variance objective

    Pairs trading is a typical example of a convergence trading strategy. Investors buy relatively under-priced assets simultaneously, and sell...

    Dong-Mei Zhu, Jia-Wen Gu, ... Wai-Ki Ching in Mathematical Methods of Operations Research
    Article Open access 25 August 2021
  20. Model risk in mean-variance portfolio selection: an analytic solution to the worst-case approach

    In this paper we consider the worst-case model risk approach described in Glasserman and Xu (Quant Finance 14(1):29–58, 2014). Portfolio selection...

    Roberto Baviera, Giulia Bianchi in Journal of Global Optimization
    Article Open access 29 May 2021
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