Risk Measures for Hedge Funds: a Cross‐sectional Approach

This paper analyses the risk‐return trade‐off in the hedge fund industry. We compare semi‐deviation, value‐at‐risk (VaR), Expected Shortfall (ES) and Tail Risk (TR) with standard deviation at the individual fund level as well as the portfolio level. Using the Fama and French (1992) methodology and the combined live and defunct hedge fund data from TASS, we find that the left‐tail risk captured by Expected Shortfall (ES) and Tail Risk (TR) explains the cross‐sectional variation in hedge fund returns very well, while the other risk measures provide statistically insignificant or marginally significant results. During the period between January 1995 and December 2004, hedge funds with high ES outperform those with low ES by an annual return difference of 7%. We provide empirical evidence on the theoretical argument by Artzner et al. (1999) that ES is superior to VaR as a downside risk measure. We also find the Cornish‐Fisher (1937) expansion is superior to the nonparametric method in estimating ES and TR.     

The Effect of Shortfall as a Risk Measure for Portfolios with Hedge Funds

Abstract:  Current research suggests that the large downside risk in hedge fund returns disqualifies the variance as an appropriate risk measure. For example, one can easily construct portfolios with nonlinear pay-offs that have both a high Sharpe ratio and a high downside risk. This paper examines the consequences of shortfall-based risk measures in the context of portfolio optimization. In contrast to popular belief, we show that negative skewness for optimal mean-shortfall portfolios can be much greater than for mean-variance portfolios. Using empirical hedge fund return data we show that the optimal mean-shortfall portfolio substantially reduces the probability of small shortfalls at the expense of an increased extreme crash probability. We explain this by proving analytically under what conditions short-put payoffs are optimal for a mean-shortfall investor. Finally, we show that quadratic shortfall or semivariance is less prone to these problems. This suggests that the precise choice of the downside risk measure is highly relevant for optimal portfolio construction under loss averse preferences.     

The Style Consistency of Hedge Funds

This study examines the style classification and the style consistency of hedge funds using a new proprietary database over the period May 1989 to April 1999. First, a hard clustering procedure is applied to classify hedge funds into homogeneous groups. It is shown that the methodology is robust and can be used to build stable hedge funds indexes. The method performs equally well as the principal component analysis in explaining in‐ and out‐of‐sample cross‐sectional hedge funds' returns. Second, we extend hard to fuzzy cluster memberships, relaxing the full assignment of the funds to individual clusters. We apply the fuzzy clustering methodology to estimate hedge funds' probabilistic exposure to various styles. We introduce three consistency indicators to quantify the hedge fund managers' style opportunism levels. We finally document that there is no evidence that style consistency leads to superior hedge funds' performance.     

Conditional Properties of Hedge Funds: Evidence from Daily Returns*

Using daily returns on a set of hedge fund indices, we study (i) the properties of the indices' conditional density functions and (ii) the presence of asymmetries in conditional correlations between hedge fund indices and other investments and between hedge fund indices themselves. We use the SNP approach to obtain estimates of conditional densities of hedge fund returns and then proceed to examine their properties. In general, a nonparametric GARCH(1,1) model appears to provide the best fit for all strategies. We find that the conditional third and fourth moments are significantly affected by changes in the current volatility of returns on hedge fund indices. We examine changes in the conditional probability of tail events and report significant changes in the probability of extreme events when the conditioning information changes. These results have important implications for models of hedge fund risk that rely on probability of tail events. We formally test for the presence of asymmetries in conditional correlations to determine if there is contagion between hedge funds and other investments and between various hedge fund indices in extreme down markets versus extreme up markets. We generally do not find strong evidence in support of asymmetric correlations.     

Passive Hedge Fund Replication – Beyond the Linear Case

In this paper we extend Hasanhodzic and Lo (2007) by assessing the out‐of‐sample performance of various non‐linear and conditional hedge fund replication models. We find that going beyond the linear case does not necessarily enhance the replication power. On the other hand, we find that selecting factors on the basis on an economic analysis allows for a substantial improvement in out‐of‐sample replication quality, whatever the underlying form of the factor model. Overall, we confirm the findings in Hasanhodzic and Lo (2007) that the performance of the replicating strategies is systematically inferior to that of the actual hedge funds.     

On the High‐Frequency Dynamics of Hedge Fund Risk Exposures

We propose a new method to model hedge fund risk exposures using relatively high‐frequency conditioning variables. In a large sample of funds, we find substantial evidence that hedge fund risk exposures vary across and within months, and that capturing within‐month variation is more important for hedge funds than for mutual funds. We consider different within‐month functional forms, and uncover patterns such as day‐of‐the‐month variation in risk exposures. We also find that changes in portfolio allocations, rather than in the risk exposures of the underlying assets, are the main drivers of hedge funds' risk exposure variation.     

Persistent Doubt: An Examination of Hedge Fund Performance

We examine whether performance persistence is suspicious. Top quintile portfolios formed on the Sharpe ratio, alpha, and information ratio persistently outperform similarly constructed mediocre third quintile portfolios throughout our sample period, but performance is more modest and less persistent when portfolios are formed on the excess manipulation‐proof performance measure (EMPPM). By selecting funds formed on ranking by Sharpe and information ratios, investors also select funds that have persistently doubtful performance according to the doubt ratio. In contrast, portfolios formed on alphas and especially the EMPPM have much less excess and persistent doubt.     

A Time to Scatter Stones,and a Time to Gather Them: The Annual Cycle in Hedge Fund Risk Taking

Analyzing a sample of hedge fund daily returns from Bloomberg, we find a seasonal pattern in their risk taking. During earlier months of a year, poorly performing funds reduce risk. The reduction is stronger for funds with higher management fees, shorter redemption periods, and recently deteriorating performance, consistent with a managerial aversion to early fund liquidation. Toward the end of a year, poorly performing funds gamble for resurrection by increasing risk. It is largely achieved by increasing exposure to market factors, and can be linked to stronger indirect managerial incentives during the second half of a year.     

A New Method to Measure the Performance of Leveraged Exchange‐Traded Funds

We examine the effects of daily return compounding, financing costs, and management factors on the performance of leveraged exchange‐traded funds (LETFs) over various holding periods. We propose a new method to measure LETFs’ tracking errors that allows us to disentangle these effects. Our results show that the compounding effect generally has more influence on tracking errors than other factors, especially for long holding periods and in a “sideways” market. The explicit costs (i.e., the expense ratios) and other factors (e.g., financing costs) can materially affect the performance of LETFs, especially for those with high leverage ratios and bear funds.     

Price Performance Following Share‐Repurchase Announcements by Closed‐End Funds

We investigate the price performance of closed‐end funds that announce share‐repurchase programs. Closed‐end funds experience positive average stock‐price reactions to the announcements. The long‐run buy‐and‐hold abnormal returns of repurchasing funds over the subsequent three years are significantly higher than a nonrepurchasing control sample matched by size, type, investment style and geographic diversification. Funds with larger discounts, international funds, equity funds, and funds that announce larger repurchases or frequently announce repurchases, experience more positive stock‐price reactions. Except for larger repurchases, the same characteristics are associated with more positive long‐run buy‐and‐hold returns.     

The Agency Effect of Repurchases on Closed‐End Funds

Share prices rise after companies announce repurchases, but there are differing views as to why this happens. Repurchases are announced by closed‐end funds when their discounts are widening (market‐to‐book is falling). The immediate post‐announcement effect is a small jump in a fund's share price, but the main effect occurs over the next four years during which time there is significant outperformance both of the fund's price and of its investment portfolio. Liquidity of the shares does not change. Repurchases, if executed, reduce the size of a fund and therefore the manager's fees. Our findings are consistent with directors using the threat of repurchases to discipline managers whose investment performance has been poor, leading to a closer alignment of pay and performance.     

The Impact of Corporate Governance on Closed‐end Funds

This study uses a large sample of UK‐listed closed‐end funds to examine whether governance has an impact on two indicators of fund performance: the level of fund‐management fees and the discount at which a fund trades. Fees are under the control of the directors, and we find that they are inversely related to fund returns, even after allowing for differences across investment sectors. Fees are, on average, higher if a fund has a large board, few directors from outside the fund‐family, many directors from within the fund‐family, and low ownership by the management company. Discounts for funds are wider if the management company or any blockholder has a significant long‐term stake, suggesting that investors are wary of entrenched management. The results suggest that boards are frequently compromised in their duty to shareholders by their dependence on fund‐management companies.     

The Over‐the‐Counter Theory of the Fed Funds Market: A Primer

We present a dynamic over‐the‐counter model of the fed funds market and use it to study the determination of the fed funds rate, the volume of loans traded, and the intraday evolution of the distribution of reserve balances across banks. We also investigate the implications of changes in the market structure, as well as the effects of central bank policy instruments such as open market operations, the discount window lending rate, and the interest rate on bank reserves.     

Hedge fund strategies,performance &diversification: A portfolio theory & stochastic discount factor approach

For 5500 North American hedge funds following 11 different strategies, we analyse the stand-alone performance of these strategies using a stochastic discount factor approach. Employing the same data, we then consider the diversification benefits of each hedge fund strategy when combined with a portfolio of US equities and bonds. We compute the out-of-sample Black-Litterman portfolios, with Bayes-Stein, higher moments, simulations, desmoothed data and allowance for regimes as robustness checks. All but two hedge fund strategies out-perform the market as stand-alone investments; and all but one provide significant diversification benefits. The higher is an investor’s risk aversion, the more beneficial is diversification into hedge funds.     

Marketing Closed‐End Fund IPOs: An Analysis of the International Stock Funds

Various studies argue that underwriting fees are excessive and investment bankers prolong the price stabilization period in aftermarket trading of closed‐end fund (CEF) shares. The poor performance of these funds also raises questions about the financial sophistication of initial public offering (IPO) buyers. In this study, we examine these issues for a sample of international stock CEFs. Our findings indicate that underwriting fees are not excessive relative to industrial issues, and we do not find that investment bankers prolong the stabilization period to camouflage the underwriting cost. Our findings are consistent with earlier studies that discounts contribute significantly to the poor performance during the first six months of aftermarket trading.     

国际金融系统风险的放大与传导:对冲基金在金融风暴中的作用

作为国际热钱的代表,对冲基金在2007～2008年金融风暴中究竟起了怎样的作用?本文首先分析了对冲基金在危机中去杠杆化操作的原因及后果;通过构造1171家美国上市银行加权平均投资组合,以其月度收益率作为美国银行业代理变量,采用1994～2008年对冲基金月度数据进行经验论证。研究发现:第一,对冲基金去杠杆化放大了系统风险;第二,对冲基金全行业具有杠杆效应的一致性;第三,对冲基金的收益水平与美国银行业紧密相关,因此,对冲基金的行动是资本市场剧烈波动的影响因素,向美国银行业传导了系统风险,推动了金融风暴的形成。最后,本文提出加强对冲基金监管的思路。     

Performance of Foreign and Global Mutual Funds: The Role of Security Selection,Region‐Shifting,and Style‐Shifting Abilities

We examine the performance of U.S.‐based foreign and global funds after controlling for their regional and style exposure. We show that, on average, the total performance (TP) and security selection abilities of both foreign and global funds are significantly negative and exhibit short‐term predictability. Additionally, R² reflects funds’ security selection abilities, consistent with previous findings for domestic mutual funds. Investors can earn higher abnormal returns and TP in the short run by purchasing past winners with low R² than by purchasing past losers with high R². However, there is no evidence of predictability in the funds' region‐shifting and style‐shifting abilities.