摘要翻译:
本文研究了连续时间随机经济下金融市场中的消费和投资问题。投资者表现出贴现率的变化。投资机会是一只股票和一个无风险的账户。市场系数和折扣因子按照有限状态马尔可夫链进行切换。折现率的变化导致投资者决策的时间不一致。模型中的随机性是由布朗运动和马尔可夫链驱动的。在Ekeland和Pirvu的基础上,我们引入并刻画了子博弈的完美策略。数值实验表明了时间偏好对子博弈完美策略和预承诺策略的影响。
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英文标题:
《Investment and Consumption with Regime-Switching Discount Rates》
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作者:
Traian Pirvu and Huayue Zhang
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最新提交年份:
2013
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:Portfolio Management 项目组合管理
分类描述:Security selection and optimization, capital allocation, investment strategies and performance measurement
证券选择与优化、资本配置、投资策略与绩效评价
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一级分类:Mathematics 数学
二级分类:Optimization and Control 优化与控制
分类描述:Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学,线性规划,控制论,系统论,最优控制,博弈论
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英文摘要:
This paper considers the problem of consumption and investment in a financial market within a continuous time stochastic economy. The investor exhibits a change in the discount rate. The investment opportunities are a stock and a riskless account. The market coefficients and discount factor switch according to a finite state Markov chain. The change in the discount rate leads to time inconsistencies of the investor's decisions. The randomness in our model is driven by a Brownian motion and a Markov chain. Following Ekeland and Pirvu we introduce and characterize the subgame perfect strategies. Numerical experiments show the effect of time preference on subgame perfect strategies and the pre-commitment strategies.
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PDF链接:
https://arxiv.org/pdf/1303.1248


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