几种基于CAPM的最优投资组合构造方案及其比较

本文在William Sharpe的资本资产定价模型（简称CAPM）的基础上,考虑了条件CAPM,就条件CAPM中的β系数为常数和时变系数两种情况,在不同的假设下分别给出了描述真实市场的模型,利用此模型给出了条件CAPM中模型参数的估计方法。对每种不同的描述真实市场的模型,我们选用了上海股市的若干股票构造了最优投资组合,并进行投资组合评估分析,最后对这几种情况下的最优投资组合的表现进行了比较。     

CAPM模型对上海股票市场的检验

本文就 CAPM模型对上海股票市场的有效性进行了检验 ,得出上海股票市场并不符合CAPM模型这一结论 ,并对此结论进行了分析。     

ACD模型在沪市中的实证研究

在证券交易中,交易持续期反映了市场交易的重要信息,因此对交易者行为具有重要的影响,并且影响到证券市场的流动性.为了检验在交易中交易持续期对交易的影响,本文选择了沪市A股的四只股票,利用由Engle和Russell提出ACD模型对其交易持续期进行了实证研究,讨论了交易持续期的相关性质,表明交易持续期具有明显的日内模式,并检验log-WACD模型与中国证券市场的吻合程度.     

中国资本市场价值溢价与CAPM实证研究

以1995年7月-2005年12月我国证券市场深沪两市的上市公司为样本,考察了价值溢价随规模变化的规律,并检验了CAPM能否解释价值溢价以及与权益帐面市值比B/M(或规模)无关的贝塔(β)能否与股票的平均收益相补偿.实证检验发现:1)中国股市存在一定程度的价值溢价,尤其是小规模(Size)价值股在平均收益上存在着明显的价值溢价,而大规模(Size)价值股则不存在价值溢价现象;2)CAPM能够解释我国股市从1995年7月至2005年12月期间的价值溢价.从CAPM对由不同规模(Size)和B/M构造的6个组合的回归结果来看,相对于贝塔(β)为常数情况下,允许贝塔(β)的每年变化会略微增加CAPM对平均收益能力的解释能力;3)在我国股市上,只有与B/M(或规模)有关的贝塔(β)才能解释股票的收益,而与B/M(或规模)无关的贝塔(β)则不能解释股票的收益.     

风险资产市场组合的概率分布和均值估计

探讨CAPM中风险资产市场组合的概率分布和均值估计问题.在股票价格行为模型用维纳过程(又称布朗运动)表述的前提下,证明了CAPM中的市场组合服从加法逻辑正态分布的结论,进而给出了市场组合均值的3种估计.以此为基础进行CAPM的实证检验,才具有理论上的严密性.     

股权分置改革对市场流动性的影响——一个理论模型及经验检验

股权分置改革是克服我国股票同股不同权的特有现象而进行的一场改革,然而,改革提高市场流动性目标了吗?基于理性预期框架;建立了一个指令驱动系统交易机制下考虑股权分置的信息模型,并通过分析得出基本假设,从理论上论证股权分置改革对流动性产生的影响.然后通过构造差分模型,以沪市607家公司作为样本对理论假设进行实证检验.研究发现:实施股权分置改革公司的流动性会高于没有进行股改的公司,股权分置改革取得了改善流动性的效果.     

媒体信息量异常或有害股票收益

本文借助一个独特的数据样本,运用媒体对股票的剩余关注度模型,实证研究异常媒体信息量与股票收益之间的关系,以期为投资者进行投资决策提供一定的参考和指导。研究发现:异常媒体信息量越大,该股票在下一个月的平均收益率越低,存在媒体效应;由此所构造的零投资组合经CAPM模型、FF三因素模型和Car-hart四因素模型调整后,均能获取显著的超额收益,结果具有稳健性。此外,实证结果还表明媒体效应所带来的超额收益源于媒体信息量异常大的股票组合的显著低收益,本文认为,这种不对称现象产生的原因可能更多的是由投资者情绪导致的股票价格对媒体报道的过度反应,并进而导致较低的期望收益。     

基于MTAR模型的沪市周期性爆炸泡沫检验

我国股市存在理性泡沫得到了普遍认同.但在现实市场中,股市不存在理性泡沫中的确定性泡沫、持续再生性泡沫、内在泡沫,对于外生泡沫的研究缺乏相关的模型,因此对周期性爆炸泡沫的检验尤为必要.采用非线性的MTAR模型对我国沪市周期性爆炸泡沫的存在性进行研究,研究结果显示,1991年1月至1996年12月期间沪市存在泡沫,而1997年1月至2004年12月泡沫成分消失,2005年1月至2009年12月沪市又出现泡沫成分,从而证实我国沪市存在周期性爆炸泡沫.     

中国证券市场价值溢价实证研究

以1995年7月—2005年12月我国证券市场深沪两市的上市公司为样本,考察了价值溢价随规模变化的规律,并检验了CAPM能否解释价值溢价以及与权益帐面市值比B/M(或规模)无关的贝塔(β)能否与股票的平均收益相补偿.实证检验发现:1)中国股市存在一定程度的价值溢价,尤其是小规模(S ize)价值股在平均收益上存在着明显的价值溢价,而大规模(S ize)价值股则不存在价值溢价现象.2)CAPM能够解释我国股市从1995年7月至2005年12月期间的价值溢价.     

基于M估计的稳健单指数投资组合模型

针对单指数投资组合模型,用稳健的M估计去估计模型参数,减少了样本数据异常值对模型的影响,并对沪市权重股进行了实证检验,得到了投资组合的有效前沿。     

资本资产定价模型的改进及在中国股市的实证分析

对于投资者来说,具备有效的评估价值和风险关系的理论工具十分重要.以中国股票市场的数据对资本资产定价模型进行了实证检验,面对并不理想的检验结果,借用因素模型的研究方法,在传统模型中引入其他可能影响资产回报的因素,利用中国股市的数据对改进的模型进行了实证检验,并与传统模型的检验结果相比较,发现改进模型的解释力相对于传统模型有了显著的提高.     

Statistical foundations for assessing the difference between the classical and weighted-Gini betas

The ‘beta’ is one of the key quantities in the capital asset pricing model (CAPM). In statistical language, the beta can be viewed as the slope of the regression line fitted to financial returns on the market against the returns on the asset under consideration. The insurance counterpart of CAPM, called the weighted insurance pricing model (WIPM), gives rise to the so-called weighted-Gini beta. The aforementioned two betas may or may not coincide, depending on the form of the underlying regression function, and this has profound implications when designing portfolios and allocating risk capital. To facilitate these tasks, in this paper we develop large-sample statistical inference results that, in a straightforward fashion, imply confidence intervals for, and hypothesis tests about, the equality of the two betas.     

分离定理和对上海股市的CAPM实证分析

本文简单介绍了资本性资产定价模型（ＣＡＰＭ），并且给出了分离定理的证明，还运用ＣＡＰＭ对上海股市进行了实证分析。     

A note on a mean-lower partial moment CAPM without risk-free asset

The standard capital asset pricing model (CAPM) is invalid if the risk-free asset ceases to exist or if the risk-free lending and borrowing rates are different. In the mean–variance (MV) framework, we have an alternative model known as zero-beta CAPM. However, in the case of mean-lower partial moment (MLPM) framework, there is no such alternative. This article addresses this issue and develops an equivalent MLPM model, which is valid for situations described above. The MV zero-beta CAPM can be seen as a special case of this model.     

Projection Pricing

A significant problem in modern finance theory is how to price assets whose payoffs are outside the span of marketed assets. In practice, prices of assets are often assigned by using the capital asset pricing model (CAPM). If the market portfolio is efficient, the price obtained this way is equal to the price of an asset whose payoff, viewed as a vector in a Hilbert space of random variables, is projected orthogonally onto the space of marketed assets. This paper looks at the pricing problem from this projection viewpoint. It is shown that the results of the CAPM formula are duplicated by a formula based on the minimum-norm portfolio, and this pricing formula is valid even in cases when there is no efficient portfolio of risky assets. The relation of the pricing to other aspects of projection are also developed. In particular, a new pricing formula, called the correlation pricing formula, is developed that yields the same price as the CAPM, but is likely to be more accurate and more convenient than the CAPM in some cases.     

Capital Asset Pricing Model (CAPM) with drawdown measure

The notion of drawdown is central to active portfolio management. Conditional Drawdown-at-Risk (CDaR) is defined as the average of a specified percentage of the largest drawdowns over an investment horizon and includes maximum and average drawdowns as particular cases. The necessary optimality conditions for a portfolio optimization problem with CDaR yield the capital asset pricing model (CAPM) stated in both single and multiple sample-path settings. The drawdown beta in the CAPM has a simple interpretation and is evaluated for hedge fund indices from the HFRX database in the single sample-path setting. Drawdown alpha is introduced similarly to the alpha in the classical CAPM and is evaluated for the same hedge fund indices. Both drawdown beta and drawdown alpha are used to prioritize hedge fund strategies and to identify instruments for hedging against market drawdowns.     

A Capital Asset Pricing Model Under Stable Paretian Distributions in a Pure Exchange Economy

In this paper, we established a Capital Asset Pricing Model (CAPM) subject to the assumption that the asset return rates obey symmetric stable Paretian distributions. This assumption seems to be closer to reality than the standard ones such as normality or finite variance. Conclusion similar to the original CAPM formula is drawn in this paper.     

Optimality Criteria and Risk in Inventory Models: The Case of the Newsboy Problem

This paper examines the use of market-valuation models in analysing stochastic inventory problems. As an example, the one-period newsboy problem is treated using the capital asset pricing model (CAPM). It is pointed out that, unlike other working-capital decisions, the use of CAPM to analyse inventory problems need not imply conflicting assumptions. The resulting optimal policy is characterized and is compared with the classical expected benefit maximization framework. It is shown that when the relevant risk of the inventory investment is considered, results are dramatically different.