THE INCENTIVES OF HEDGE FUND FEES AND HIGH‐WATER MARKS

Hedge fund managers receive a large fraction of their funds' profits, paid when funds exceed their high‐water marks. We study the incentives of such performance fees. A manager with long‐horizon, constant investment opportunities and relative risk aversion, chooses a constant Merton portfolio. However, the effective risk aversion shrinks toward one in proportion to performance fees. Risk shifting implications are ambiguous and depend on the manager's own risk aversion. Managers with equal investment opportunities but different performance fees and risk aversions may coexist in a competitive equilibrium. The resulting leverage increases with performance fees—a prediction that we confirm empirically.     

Nonlinear price impact and portfolio choice

In a market with price impact proportional to a power of the order flow, we find optimal trading policies and their implied performance for long‐term investors who have constant relative risk aversion and trade a safe asset and a risky asset following geometric Brownian motion. These quantities admit asymptotic explicit formulas up to a structural constant that depends only on the curvature of the price impact function. Trading rates are finite as with linear impact, but are lower near the target portfolio, and higher away from the target. The model nests the square‐root impact law and, as extreme cases, linear impact and proportional transaction costs.     

LEVERAGED ETF IMPLIED VOLATILITIES FROM ETF DYNAMICS

The growth of the exchange‐traded fund (ETF) industry has given rise to the trading of options written on ETFs and their leveraged counterparts (LETFs). We study the relationship between the ETF and LETF implied volatility surfaces when the underlying ETF is modeled by a general class of local‐stochastic volatility models. A closed‐form approximation for prices is derived for European‐style options whose payoffs depend on the terminal value of the ETF and/or LETF. Rigorous error bounds for this pricing approximation are established. A closed‐form approximation for implied volatilities is also derived. We also discuss a scaling procedure for comparing implied volatilities across leverage ratios. The implied volatility expansions and scalings are tested in three settings: Heston, limited constant elasticity of variance (CEV), and limited SABR; the last two are regularized versions of the well‐known CEV and SABR models.     

Strict local martingales and optimal investment in a Black–Scholes model with a bubble

There are two major streams of literature on the modeling of financial bubbles: the strict local martingale framework and the Johansen–Ledoit–Sornette (JLS) financial bubble model. Based on a class of models that embeds the JLS model and can exhibit strict local martingale behavior, we clarify the connection between these previously disconnected approaches. While the original JLS model is never a strict local martingale, there are relaxations that can be strict local martingales and that preserve the key assumption of a log‐periodic power law for the hazard rate of the time of the crash. We then study the optimal investment problem for an investor with constant relative risk aversion in this model. We show that for positive instantaneous expected returns, investors with relative risk aversion above one always ride the bubble.     

中小投资者的风险态度与市场环境

按照期望效用理论所揭示的风险厌恶、风险中性和风险追逐的3种风险态度的划分以及前景理论中投资者损失规避风险态度的特征,我们对我国A股市场投资者的风险偏好进行研究,发现在我国A股市场中小投资者风险态度受获得收益的显著影响,当投资者获得正收益时,总体呈现风险追逐,收益越高风险追逐的倾向越明显;当投资者获得负收益时,总体呈现风险中性,收益率与后市判断没有明显关系。我国中小投资者的风险态度不符合损失规避的特征。牛市环境下中小投资者总体呈现风险追逐,熊市环境下中小投资者总体风险中性。     

MUTUAL FUND PORTFOLIO CHOICE IN THE PRESENCE OF DYNAMIC FLOWS

We analyze the implications of dynamic flows on a mutual fund's portfolio decisions. In our model, myopic investors dynamically allocate capital between a riskless asset and an actively managed fund which charges fraction‐of‐fund fees. The presence of dynamic flows induces “flow hedging” portfolio distortions on the part of the fund, even though investors are myopic. Our model predicts a positive relationship between a fund's proportional fee rate and its volatility. This is a consequence of higher‐fee funds holding more extreme equity positions. Although both the fund portfolio and investors' trading strategies depend on the proportional fee rate, the equilibrium value functions do not. Finally, we show that our results hold even if investors are allowed to directly trade some of the risky securities.     

Non-convex optimal portfolio sets and constant relative risk aversion

This paper shows by example that, under constant relative risk aversion (CRRA), the set of optimal portfolios can be non-convex even in the presence of a complete set of Arrow-Debreu securities. This implies that, with exclusively CRRA investors, market models without a strong distributional assumption such as that of the capital asset pricing model cannot be tested by testing the optimality of the market portfolio, or by assuming a representative investor. This demonstration extends the key result of Dybvig and Ross [Dybvig, P. H., & Ross S. A. (1982). Portfolio efficient sets. Econometrica, 50, 1525–1546], who showed an example of non-convexity with less restrictive utility assumptions but which could not apply to the case of a complete set of Arrow-Debreu securities.     

Information content of volatility spreads

This study reexamines the determinants of volatility spreads and suggests a new forecast of future volatilities. Contrary to earlier volatility forecasts, the newly introduced forecast is applicable when investors are not risk‐neutral or when underlying returns do not follow a Gaussian probability distribution. This implies that the method is consistent with the presence of risk premia for other risks such as volatility risk. Using S&P 500 index options, we show that the new volatility forecast outperforms other volatility forecasts including risk‐neutral implied volatility and historical volatility in two aspects. First, the new forecast is superior to other estimates in terms of forecasting errors for future realized volatilities. Second, it is an unbiased estimator of future realized volatilities. This is shown using an encompassing regression analysis. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:533–558, 2010     

论开放式基金当事人的风险与防范

开放式基金当事人的风险主要体现在基金持有人的流动性风险、基金管理者的基金管理风险与基金托管人的基金代理、销售风险等。完善市场交易机制、优化投资环境、培育机构投资者等措施可降低基金当事人的风险,从而最大限度地保证开放式基金的进一步健康发展。     

A NOTE ON THE DAI–SINGLETON CANONICAL REPRESENTATION OF AFFINE TERM STRUCTURE MODELS*

Dai and Singleton (2000) study a class of term structure models for interest rates that specify the short rate as an affine combination of the components of an N‐dimensional affine diffusion process. Observable quantities in such models are invariant under regular affine transformations of the underlying diffusion process. In their canonical form, the models in Dai and Singleton (2000) are based on diffusion processes with diagonal diffusion matrices. This motivates the following question: Can the diffusion matrix of an affine diffusion process always be diagonalized by means of a regular affine transformation? We show that if the state space of the diffusion is of the form for integers satisfying or , there exists a regular affine transformation of D onto itself that diagonalizes the diffusion matrix. So in this case, the Dai–Singleton canonical representation is exhaustive. On the other hand, we provide examples of affine diffusion processes with state space whose diffusion matrices cannot be diagonalized through regular affine transformation. This shows that for ), the assumption of diagonal diffusion matrices may impose unnecessary restrictions and result in an avoidable loss of generality.     

Why Consumers Choose Managed Mutual Funds Over Index Funds: Hypotheses from Consumer Behavior

Much evidence exists which suggests that the vast majority of equity mutual fund managers do not possess differential information (or skills) which allow them to achieve above average market returns for their investors. Thus, when investors pay fees to equity mutual fund managers for investment advice and management, the very probable outcome is that they are reducing the return that they would otherwise achieve by investing in a nonmanaged index fund that tracks the total stock market (e.g., Wilshire 5000) or some significant portion of it (e.g., the Standard & Poor's 500). The long-term negative consumer welfare implications are large, very possibly in the hundreds of thousands of dollars for individual consumer investors. Drawing largely on insights from the psychology, consumer behavior, and behavioral finance literatures, we offer a series of hypotheses that may partially account for such consumer choices. We conclude with a call for increased government- and employer-sponsored education programs aimed at creating a more informed consumer investor.     

Robust consumption‐investment problem under CRRA and CARA utilities with time‐varying confidence sets

We consider a robust consumption‐investment problem under constant relative risk aversion and constant absolute risk aversion utilities. The time‐varying confidence sets are specified by Θ, a correspondence from [0, T] to the space of the Lévy triplets, and describe a priori drift, volatility, and jump information. For each possible measure, the log‐price processes of stocks are semimartingales, and the triplet of their differential characteristics is almost surely a measurable selector from the correspondence Θ. By proposing and investigating the global kernel, an optimal policy and a worst‐case measure are generated from a saddle point of the global kernel, and they constitute a saddle point of the objective function.     

基于异质信念的公司特质风险定价模型

文章讨论了加入异质信念后公司特质风险对预期收益率的影响。通过放宽经典Merton模型的假设条件,加入异质信念和卖空限制,重新推导了特质波动率与预期收益率之间的关系。结果表明,在投资者无法多样化投资的前提下,即使考虑了异质信念,公司特质波动率仍然进入资产定价方程,特质波动率与预期收益率之间存在正向关系。     

Who should sell stocks?

Never selling stocks is optimal for investors with a long horizon and a realistic range of preference and market parameters, if relative risk aversion, investment opportunities, proportional transaction costs, and dividend yields are constant. Such investors should buy stocks when their portfolio weight is too low and otherwise hold them, letting dividends rebalance to cash over time rather than selling. With capital gains taxes, this policy outperforms both static buy‐and‐hold and dynamic rebalancing strategies that account for transaction costs. Selling stocks becomes optimal if either their target weight is low or intermediate consumption is substantial.     

CLOSED-FORM SOLUTIONS FOR OPTIMAL PORTFOLIO SELECTION WITH STOCHASTIC INTEREST RATE AND INVESTMENT CONSTRAINTS

We examine the portfolio choice problem of an investor with constant relative risk aversion in a financial market with partially hedgeable interest rate risk. The individual shadow price of the portfolio constraint is characterized as the solution of a new backward equation involving Malliavin derivatives. A generalization of this equation is studied and solved in explicit form. This result, applied to our financial model, yields closed-form solutions for the shadow price and the optimal portfolio. The effects of parameters such as risk aversion, interest rate volatility, investment horizon, and tightness of the constraint are examined. Applications of our method to a monetary economy with inflation risk and to an international setting with currency risk are also provided.     

Panel quantile regressions for estimating and predicting the value-at-risk of commodities

Using a flexible panel quantile regression framework, we show how the future conditional quantiles of commodities returns depend on both ex post and ex ante uncertainty. Empirical analysis of the most liquid commodities covering main sectors, including energy, food, agriculture, and precious and industrial metals, reveal several important stylized facts. We document common patterns of the dependence between future quantile returns and ex post as well as ex ante volatilities. We further show that the conditional returns distribution is platykurtic. The approach can serve as a useful risk management tool for investors interested in commodity futures contracts.     

Mean‐variance efficiency of the market portfolio and futures trading

We derived an intertemporal capital asset pricing model in which the mean‐variance efficiency of the market portfolio is neither a necessary nor a sufficient condition. We obtained this result by modeling a frictionless, continuously open financial market in which nonredundant futures contracts are available for trade, in addition to cash assets. Introducing such contracts modifies the way investors optimally allocate their wealth. Their portfolios then comprise the riskless asset, a perturbed mean‐variance‐efficient portfolio of cash assets, and a perturbed mean‐variance‐efficient portfolio of futures contracts. Furthermore, a (3 + K) mutual fund separation is obtained, with K being the number of economic state variables, in lieu of the usual (2 + K) fund separation. Mean‐variance efficiency of the market portfolio is a necessary condition only when cash assets are the sole traded assets. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21:329–346, 2001     

SMEs and CSR Theory: Evidence and Implications from an Italian Perspective

This paper reviews the development of socially responsible investment (SRI) in the Spanish financial market. The year, 1997 saw the appearance in Spain of the first SRI mutual fund, but it was not until late 1999, that major Spanish fund managers offered SRI mutual funds on the retail market. The development of SRI in the Spanish financial market has not experienced the high levels of development seen in other European countries, such as France or Italy, where interest in SRI began during the same period. This paper presents an analysis of the impact of SRI mutual funds managed by Spanish fund managers comparing the evolution of managed assets and number of investors. We also analyse the investment strategies adopted by these funds, which mainly use negative screening criteria and the participation of non-governmental organisations as institutional investors. An analysis of the take up of socially responsible investment in the Spanish financial market shows majors deficits in this process. This is due to Spanish investors having limited sensitivity to social issues and knowledge of SRI, and a lack of development of SRI investment strategies, such as engagement or shareholder activism by fund managers. Furthermore, the take-up of SRI mutual funds in the Spanish financial market coincided with a fall in the stock market at the beginning of the 21st Century. We conclude with an analysis of the relationship between SRI and Corporate Social Responsibility (CSR).Josep M. Lozano is currently Professor in the Department of Social Sciences at ESADE, Universidad Ramon Llul-URL and Director of the school’s Institute for the Individual, Corporations and Society (IPES). Co-founder of ética, Economía y Dirección (Spanish branch of the European Business Ethics Network), member of the international Editorial Board of ‚Ethical Perspectives’ and member of the Business Ethics inter-faculty group of the Community of European Management Schools (CEMS). He has been a highly-commended runner-up in the European division of the Beyond Grey Pinstripes Faculty Pioneer Award. Author of Ethics and Organizations. Understanding Business Ethics as a Learning Process. Dordrecht: Kluwer, 2000.Laura Albareda is a Researcher at the Institute for the Individual, Corporations and Society (IPES), ESADE, Universidad Ramon Llull-URL. She is manager of the Observatory on Ethical, Ecological and Social Investment funds in Spain, an annual IPES publication on Socially Responsible Investment in Spain. Fields of research and academic interest are Corporate Social Responsibility, Business Ethics, Global Governance, Governments and Public Policies on CSR and Socially Responsible Investment.M. Rosario Balaguer is a Lecturer in the Department of Finance and Accounting at Universitat Jaume I. Research areas focus on finance-based analysis of Corporate Social Responsibility and Socially Responsible Investment, covering issues such as profitability, risk and performance. She has taken part in several national and international conferences and published a number of articles in this field.     

Measuring the financial and social performance of French mutual funds: A data envelopment analysis approach

Socially responsible investors pursue both financial and non-financial goals. In this paper, we attempt to assess the performance of French socially responsible mutual funds (SRMFs). We consider the data envelopment analysis (DEA) approach, which allows us to assign a unique efficiency score while combining financial and social characteristics, using various combinations within different types of risk (total risk, market risk, and downside risk). We report the list of funds found to be DEA efficient using various output-oriented models. We also compare our obtained results with the traditional and modern measures used in the literature (Sharpe, Treynor, and the information ratio). We contribute to the literature by testing the validity of the DEA methodology in the financial context. The findings have important implications for fund selection processes and would be mainly of interest to investors and fund managers who integrate environmental, social, and governance criteria into their investment choices.