The evolution of portfolio rules and the capital asset pricing model

The aim of this paper is to test the performance of capital asset pricing model (CAPM) in an evolutionary framework. We model an economy where a heterogeneous population of long-lived agents invest their wealth according to different portfolio rules, and prove that traders who either “believe” in CAPM and use it as a rule of thumb, or are endowed with genuine mean-variance preferences, under some very weak conditions, vanish in the long run.We show that a sufficient condition to drive CAPM or mean-variance traders’ wealth shares to zero is that an investor endowed with a logarithmic utility function enters the market.     

Liquidity-adjusted conditional capital asset pricing model

This paper derives a liquidity-adjusted conditional two-moment capital asset pricing model (CAPM) and a liquidity-adjusted conditional three-moment CAPM respectively based on theory of stochastic discount factor. The liquidity-adjusted conditional two-moment CAPM shows that a security's conditional expected excess return consists of three parts: its conditional expected liquidity cost, the systemic risk premium and the liquidity risk premium. The liquidity-adjusted conditional three-moment CAPM shows that a security's conditional expected excess return depends on its conditional expected liquidity cost, the conditional covariance between its return and the market return, the conditional covariance between its liquidity cost and the market liquidity cost, and the conditional coskewness of its return and the market return.     

Stability and bifurcation in a simple heterogeneous asset pricing model

Stability and bifurcation analysis of deterministic systems has been widely used in modeling financial markets. We develop a simple pricing model with two types of rational traders, fundamentalists and chartists, in order to study well price behavior in financial markets, we use student t distribution to replace traditional normal distribution to describe fundamental price process. We study the stability and bifurcation of the underling deterministic system and use numerical simulation to study the dynamic of the stochastic system, including autocorrelations structures and high kurtosis of the returns. It is found that the fundamental price becomes stable (unstable) when the activities from both types of traders are balanced (unbalanced).     

Portfolio efficiency of a dynamic capital asset pricing model

In the present study we show that, based on equally weighted portfolios of continuously listed Finnish and Swedish stocks, aDynamic Model of Capital Asset Pricing (DCAPM) outperforms the static Capital Asset Pricing Model (CAPM) in the Super Criterion Test. It is demonstrated that the portfolio efficiency of the dynamic model is improved, when using a properly defined transition matrix in the Kalman Filtering Algorithm.The advice and encouragement of Professor Leif Nordberg (Department of Statistics, Åbo Akademi University) is gratefully acknowledged. I thank Jaana Aaltonen for her assistance in monitoring the computer programs. I also thank an anonymous referee for his valuable comments and suggestions for improving the quality of the paper.     

Intangible capital,corporate valuation and asset pricing

Recent studies have found unmeasured intangible capital to be large and important. In this paper we observe that by nature intangible capital is also very different from physical capital. We find it plausible to argue that the accumulation process for intangible capital differs significantly from the process by which physical capital accumulates. We study the implications of this hypothesis for rational firm valuation and asset pricing using a two-sector general equilibrium model. Our main finding is that the properties of firm valuation and stock prices are very dependent on the assumed accumulation process for intangible capital. If one entertains the possibility that intangible investments translates into capital stochastically, we find that plausible levels of macroeconomic volatility are compatible with highly variable corporate valuations, P/E ratios and stock returns. We thank Ellen McGrattan, Edward Prescott, Rene Stulz and an anonymous referee for their helpful comments as well as workshop participants at FAME, the 5th Conference of the Swiss Society for Financial Market Research, the European Central Bank, Columbia Business School Finance Free Lunch and the University of Zürich. This research has benefited from financial support from the National Center for Competence in Research “Financial Valuation and Risk Management”. The National Centers of Competence in Research are managed by the Swiss National Science Foundation on behalf of the Federal Authorities.     

Empirical tests on the asset pricing model with liquidity risk: An unobserved components approach

The aim of this paper is to test empirically the conditional liquidity-adjusted capital asset pricing model (L-CAPM) developed by Acharya and Pedersen (2005). Accordingly, we propose to estimate the L-CAPM using unobserved components methodology, which allows us to take into account the main stylized facts characterizing liquidity. Based on a sample of firms listed on the NASDAQ, our empirical analysis reveals several findings. Firstly, we show that liquidity is time-varying and exhibits strong seasonality. Secondly, we highlight the impact of the liquidity level premium on asset prices. Thirdly, we show that the most important liquidity risk is related to the covariance between portfolio illiquidity and market returns. Fourthly, we observe a negative relationship between portfolio returns and market illiquidity. Fifthly, we find that liquidity risk and illiquidity level are not always positively correlated.     

Panel data analysis of multi-factor capital asset pricing models

In this article, we propose MFCAPM panel models with fixed effects and test theories associated with risk exposures and anomalies postulated by Fama and French, and we assess their out-of-sample predictive performances. Based on the portfolios formed by French, we construct 10 panel models, each consisting of 10 portfolios grouped by size deciles, and another 10 panels by value deciles. In the presence of cross-section dependence, the MFCAPM panel model is estimated by the feasible generalized least squares (FGLS) method for the sample period 1963(1)-2018(9). The results show that the market, firm-size and value risk exposures are significant and robust across three-, five- and six-factor panel models. Significant time-fixed effects indicate that there are several portfolios resilient to dot.com bubble peak in 2000, while some others resilient to GFC in 2007. We estimate the models for the in-sample period 1963(1)–1999(12) and generate the out-of-sample portfolio returns for the period 2000(1)–2018(9). We find that portfolio returns forecasts generated by the six-factor panel model are superior to other MFCAPM panel models, mostly due to the momentum factor (investor behaviour) explaining large return variations and volatility exposures. The findings have implications for investors, security traders and portfolio risk managers.     

Rational functions: an alternative approach to asset pricing

This paper shows that asset prices are linear polynomials of various underlying explanatory factors and asset returns being ratios of these polynomials, are rational functions that do not add linearly when averaging. Hence, average returns should be modeled based on stock prices. However, continuous returns may be treated as approximately linear across time and modeled directly. Our new Rational Function (RF) models, empirically outperform the traditional asset pricing models like the Capital Asset Pricing Model (CAPM) and the Fama–French three and five-factor models for both average and continuous returns. Moreover, the RF theory also provides a model to estimate the asset volumes. The average change in asset volumes together with average returns provide the estimates for average change in market values of assets. Thus, the RF model approach can be used to select assets that provide either highest returns for profit maximization or highest change in market values for wealth maximization for given levels of risk.     

Capital asset pricing in an overlapping generations model

This paper attempts to contribute to two rapidly growing branches in economic theory: asset pricing and “overlapping generations” models. The model is formulated and it is shown that equilibrium prices exist, and some of their properties are discussed. Then the model is applied to an asymmetric information environment to see if randomness in the number of informed agents could confuse the uninformed. Surprisingly, it could not.     

Higher order expectations in sentiment asset pricing model

In the spirit of beauty contests, we study the effect of higher order expectations on sentiment asset pricing. The sentiment asset pricing model with higher order expectations shows that, in general the higher sentiment causes the higher price, but, higher order expectations contribute to smoother price path and defend the impact of sentiment. Regarding the problem of taking higher order or first order, the investors with second order can survive in a specific area where sentiment is rather optimistic or pessimistic and investors with first order expectations are the majority.     

Capital asset pricing model in Portugal: Evidence from fractal regressions

We examine risk profiles of the Portuguese stock market index component stocks using a novel approach to the classical capital asset pricing model (CAPM). Specifically, we estimate the CAPM via fractal regressions that allow studying the marginal effects at selected scales. In this way, we can reveal whether the risk is perceived differently by market participants with different investment horizons. Apart from the analysis itself, we provide new statistical insights into the issue of separating and comparing the scale-specific effects with statistical validity. We find several stocks deviating from an expected risk perception homogeneity across investment horizons. This is true for both analysed periods, i.e. before and after the global financial crisis. There are also several stocks that changed their relationship to the market portfolio in between, which has strong implications for possible portfolio construction. The proposed methodology is not limited to financial topics but can be used in any discipline where the scale-specific marginal effects might be of interest.     

开放条件下国际资产定价模型的解析与检验

随着经济全球化的不断深入，国际资本市场的一体化程度也在不断加强，敌对国际资产定价问题的探讨显得颇为重要。尤其对开放条件下的国际资产定价理论与实证研究进行系统的梳理与分类，并对该领域现有研究中存在的问题提出未来研究的方向，更有学术价值。     

金融资产定价理论的历史回顾与展望

金融资产定价理论是金融学的核心问题，华尔街的两次“革命”都源自于对资产定价理论的研讨。通过对金融资产定价理论的历史文献回顾，可以把资产定价理论大致分为三个阶段：萌芽阶段、发展阶段和繁荣阶段。其中，萌芽阶段在20世纪50年代以前的时间段，发展阶段在20世纪50年代到70年代，繁荣阶段则在20世纪80年代以后到目前的时间段。最后对金融资产定价理论做出展望，指出现代数学方法的运用仍是资产定价理论向前发展的动力。     

Human capital and economic growth in an overlapping generations model

The paper describes an aggregative optimal growth model, the essential features of which are that individuals are mortal and obtain their labor skill through educational training. The process of human capital formation is described by an education function which relates the pass rate to the educational expenditure per student. Two alternative scenarios, private and public education regimes, are separately investigated. Under the decentralized education regime, risk-neutral individuals borrow to finance their education when young. Under the centralized education regime, the cost of education is financed by taxes imposed on the workers in the economy, and the central government maximizes a long-term social target function. The equilibria of both regimes are analyzed and various comparative static results derived. It is shown that educational investment in a decentralized equilibrium is higher than that in the centralized steady state. We also establish that there exists a time discount rate at which or above which the decentralized per capita consumption exceeds that of the centralized steady state whereas for time rates of discount sufficiently near the population growth rate, the above result will be reversed.     

Public production and shadow pricing in a model of disequilibrium in labour and capital markets

This paper develops second-best rules for public investment and employment in various regimes of disequilibrium on the capital and the labour markets. The model used is very simple so as to imply rules which can easily be interpreted and contrasted with the current literature on the subject. Another issue considered is that of possible changes of regimes within a process of welfare improvement involving adjustments in the public production plan; it is dealt with through a numerical example which points out that such changes can indeed occur.     

Exact arbitrage, well-diversified portfolios and asset pricing in large markets

For a market with an atomless continuum of assets, we formulate the intuitive idea of a “well-diversified” portfolio, and present a notion of “exact arbitrage”, strictly weaker than the more conventional notion of “asymptotic arbitrage”, and necessary and sufficient for the validity of an APT pricing formula. Our formula involves “essential” risk, one based on a specific index portfolio constructed from factors and factor loadings that are endogenously extracted to satisfy an optimality property involving a finite number of factors. We illustrate how our results can be translated to markets with a large but finite number of assets.     

Merger Speculation in Financial Media: The Valuation of Investigative Reporting

The authors study abnormal returns and volume in the days surrounding takeover speculation by financial media. Significantly positive price and volume responses 2 days after publication are observed. While most of this effect dissipates shortly thereafter, some excess returns remain impounded into the stock price. A study of the ex post takeover probabilities suggests that a positive response is justified, as takeover probabilities for such firms subsequently increase. This evidence is consistent with the idea that financial media speculation can facilitate the release of useful private information to shareholders. However, significantly positive excess returns and volume in the few days before publication also suggests that certain shareholders may benefit disproportionately.     

经济转轨中国有资本比重的最优路径选择——一个动态模型

This paper presents a dynamic model based on the utility maximum decisions of both the government and private sectors to study the optimal withdrawing path of state-owned capital in economic transition. Numerical simulation shows that: (1) an optimal transition path still exists when treating government and private sectors separately, (2) when the transition cost is higher than its critical value, the economy will never start a transition by itself. In addition, this analysis offers theoretical supports for some reform policies adopted by governments during transition. __________ Translated from Jingjixue Jikan 经济学(季刊) (China Economic(Quarterly)), 2007, 6(2): 561–580