Are All Short-Term Institutional Investors Informed?

IF 3.4 3区 经济学 Q1 BUSINESS, FINANCE Financial Analysts Journal Pub Date : 2023-10-16 DOI:10.1080/0015198x.2023.2259287
Mustafa O. Caglayan, Umut Celiker, Mete Tepe
{"title":"Are All Short-Term Institutional Investors Informed?","authors":"Mustafa O. Caglayan, Umut Celiker, Mete Tepe","doi":"10.1080/0015198x.2023.2259287","DOIUrl":null,"url":null,"abstract":"AbstractWe examine whether being a hedge fund has any differential effect on the previously documented empirical relation between investment horizon and informativeness of institutional investors’ trades. We find that the positive and significant relation between short-term institutional demand and future stock returns exists only among hedge funds, while such relation does not exist for non–hedge fund institutions with short investment horizons. We also provide evidence that our results are not driven by (false) presumptions that hedge funds represent the majority of short-term institutional investors or that hedge fund demand constitute the lion’s share of the short-term institutional demand.Keywords: hedge fundsshort-term institutional investorsturnoverPL Credits: 2.0 Disclosure statementThe authors have no conflict of interest to declare. This article presents the authors’ opinions and not those of Northern Trust Corporation, its affiliates, clients, or employees. All errors are the sole responsibility of the authors.AcknowledgmentsWe thank Vikas Agarwal for sharing with us a comprehensive list of hedge funds that file 13F holdings. We also thank Kent Daniel and Kenneth French for making a large amount of data publicly available in their online data library.Notes1 In addition to these articles that provide evidence of a positive relation between short-term investment horizon and future stock returns, there are a few studies that show the contrary. For example, Cremers and Pareek (Citation2016) find that funds trading frequently generally underperform, drawing a negative cross-sectional relation between turnover and performance. Similarly, Chakrabarty, Moulton, and Trzcinka (Citation2017) show that majority of short-term institutional trades lose money.2 We differ from this literature in a significant way by working on a more refined sample in 13F. Specifically, we first divide the institutional investors as short-term and long-term institutional investors as in Yan and Zhang (Citation2009), and later we divide each group further into two groups as hedge funds and non–hedge funds. Thus, we analyze the performance of four groups of institutional investors’ trades: short-term hedge funds, short-term non–hedge funds, long-term hedge funds, and long-term non–hedge funds. Out of these four groups, we find that only the trades of short-term hedge funds predict future stock returns.3 In terms of the distribution of sources in identifying the 13F-filing hedge funds among all institutions in our sample, the union database covers approximately 90% of our 13F-filing hedge fund sample. An additional 6% of the sample comes from ADV filings. The other three criteria combined (industry publications, company websites, and news articles in Factiva) constitute the remaining 4% of our 13F-filing hedge fund sample.4 Agarwal, Fos, and Jiang (Citation2013), similarly detect 23% (1,199 out of 5,188) of all 13F-filing institutions as hedge funds during their sample period that ends in 2008 as well.5 In order to eliminate any concerns that our main findings are simply due this difference in CR values between short-term hedge funds and short-term non–hedge funds, in a separate analysis we decompose short-term non–hedge funds into two groups based on their CR values (short-term non–hedge funds with low CR values and short-term non–hedge funds with high CR values) and examine the predictive power of these two groups’ trades separately. We find that even though the short-term non–hedge funds with high CR values have an average CR value (30.40%) greater than the average CR value of the short-term hedge funds (27.34%), the trades of short-term non–hedge funds with high CR values still fail to predict the future stock returns in a significant way in risk-adjusted terms. Thus, this result rules out the possibility that the strong predictive power of short-term hedge funds’ trades is due to short-term hedge funds’ slightly higher CR values.6 In untabulated results, when we analyze the percentage of market capitalization by hedge funds in our sample over the years, we notice that it is very small in the initial years of our sample (less than 5%). However, this figure gradually increases over time and the average hedge-fund share of total market capitalization turns out to be around 10% during our sample period, 1994–2019.7 We define active share for institution i at quarter end t as follows: Active Shareit= 12∑j=1N|PWijt−MWjt|, where N represents the number of stocks in our sample (i.e., CRSP universe with our filters discussed in Section 2.1), PWijt denotes the weight of stock j in institution i’s portfolio at quarter end t, and MWjt is the weight of stock j in our sample of stocks at quarter end t. It should be noted that while the benchmark index of a mutual fund is usually readily identifiable, it is impossible to identify a benchmark index for an institutional investor since institutional investors may or may not include mutual funds alongside many other types of investment funds. For this reason, we simply use the most general equity market index possible (i.e., the CRSP value-weighted index) as the benchmark when calculating the active share of each institution.8 In untabulated results, we calculate the active share measure based on two alternative methods. In the first alternative method, the investment universe of the investor consists of the stocks held in the current portfolio. In addition, we determine the implied weights of the stocks in the portfolio based on the market weights of these stocks in the CRSP universe. Then, we employ the active share formula indicated in footnote 7 and calculate the active share. In the second alternative method, we employ a similar approach as Koijen and Yogo (Citation2019) and assume that the investment universe of an investor consists of the stocks that were held in the most recent 12 quarters (i.e., current quarter and past 11 quarters). Next, for each quarter, we calculate the proportion of stocks in the portfolio that are not in the investment universe of the investor and denote this proportion as active share. Using these two methods, we still find that average AS of short-term institutions is higher than that of long-term institutions. Similarly, hedge funds have higher AS values than non-hedge funds, and short-term hedge funds have higher AS values in comparison to short-term non-hedge funds.9 At the end of each quarter t, we calculate the HHI for an institution i as follows: HHIi,t=∑j=1J(Ni,j,tPi,j,t∑j=1JNi,j,tPi,j,t)2, where N and P represent the number of shares of stock j held by investor i and share price at the end of quarter t, respectively.10 Middle group includes middle three quintiles.11 We obtain a qualitatively and quantitatively similar alpha spread (0.38%, t-stat= 4.06) between short-term hedge funds’ heavy buy and heavy sell trades when we measure risk-adjusted returns using Fama and French’s (Citation2015) five-factor model. Similarly, we do not find a statistically significant five-factor alpha spread between short-term non–hedge funds’ heavy buy and heavy sell trades.12 As a robustness check, we replicate our value-weighted portfolio results with equal-weighted portfolios as well. Similar to our findings in Table 2, we see that the L/S portfolio for short-term hedge fund demand produces a monthly return of 0.37% (t-stat = 4.97) and a monthly four-factor alpha of 0.33% (t-stat = 4.19) in the subsequent quarter. In contrast, the trades of short-term non–hedge funds do not produce any statistically significant returns or alphas in the short-run. Furthermore, consistent with the prior literature and our findings in Table 2, neither the L/S portfolio for long-term hedge funds nor the L/S portfolio for long-term non–hedge funds generate statistically significant positive returns and alphas in the following quarter.13 Consistent with Yan and Zhang (Citation2009), we use two lags in computing Newey-West heteroscedasticity-adjusted t-statistics.14 A detailed description of the variables is provided in Table A1 of the appendix.15 As a robustness check, we also run the regression specification in Column 3 of Table 3 using weighted least-squares with each firm weighted by its natural logarithm of market capitalization (SIZE). We report our results from this regression in Column 2 of Table 4. We find that the average coefficient estimate on short-term hedge fund demand (ΔSIO_HF) is still positive and statistically significant (0.161 with a t-stat = 5.59) and the average coefficient estimate on short-term non–hedge fund demand (ΔSIO_NHF) is once again statistically not different from zero (0.017 with a t-stat = 0.67).16 For ease of comparison, we report original results from column 3 of Table 3 once again in column 1 of Table 4.17 In an alternative robustness test, following Lou (Citation2012), when we use total flows and regress the panel of each hedge fund’s trades on the total flows, we once again obtain similar results in the sense that our main findings are driven by informed trading of short-term hedge funds, not by persistent demand shocks and/or price pressure.18 We obtain similar results for the predictive power of short-term hedge funds’ trades when we conduct our portfolio tests for this restricted sample as well.19 We use median market capitalization and book-to-market ratio to split the sample into two.20 Following Cooper, Gutierrez, and Hameed (Citation2004), we define a down market as one where the previous 12-month cumulative market return is negative.21 We use four lags in computing Newey-West heteroscedasticity-adjusted t-statistics.22 When we exclude closed positions from the extensive short-term hedge fund demand, our findings remain qualitatively similar.Additional informationNotes on contributorsMustafa O. CaglayanMustafa O. Caglayan, is a Professor, Department of Finance, College of Business, Florida International University, Miami, FL.Umut CelikerUmut Celiker, is an Associate Professor, Department of Finance, Monte Ahuja College of Business, Cleveland State University, Cleveland, OH.Mete TepeMete Tepe, CFA, is a Vice President, Northern Trust Corporation, 50 S La Salle St, Chicago, IL.","PeriodicalId":48062,"journal":{"name":"Financial Analysts Journal","volume":"28 1","pages":"0"},"PeriodicalIF":3.4000,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Financial Analysts Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/0015198x.2023.2259287","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
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Abstract

AbstractWe examine whether being a hedge fund has any differential effect on the previously documented empirical relation between investment horizon and informativeness of institutional investors’ trades. We find that the positive and significant relation between short-term institutional demand and future stock returns exists only among hedge funds, while such relation does not exist for non–hedge fund institutions with short investment horizons. We also provide evidence that our results are not driven by (false) presumptions that hedge funds represent the majority of short-term institutional investors or that hedge fund demand constitute the lion’s share of the short-term institutional demand.Keywords: hedge fundsshort-term institutional investorsturnoverPL Credits: 2.0 Disclosure statementThe authors have no conflict of interest to declare. This article presents the authors’ opinions and not those of Northern Trust Corporation, its affiliates, clients, or employees. All errors are the sole responsibility of the authors.AcknowledgmentsWe thank Vikas Agarwal for sharing with us a comprehensive list of hedge funds that file 13F holdings. We also thank Kent Daniel and Kenneth French for making a large amount of data publicly available in their online data library.Notes1 In addition to these articles that provide evidence of a positive relation between short-term investment horizon and future stock returns, there are a few studies that show the contrary. For example, Cremers and Pareek (Citation2016) find that funds trading frequently generally underperform, drawing a negative cross-sectional relation between turnover and performance. Similarly, Chakrabarty, Moulton, and Trzcinka (Citation2017) show that majority of short-term institutional trades lose money.2 We differ from this literature in a significant way by working on a more refined sample in 13F. Specifically, we first divide the institutional investors as short-term and long-term institutional investors as in Yan and Zhang (Citation2009), and later we divide each group further into two groups as hedge funds and non–hedge funds. Thus, we analyze the performance of four groups of institutional investors’ trades: short-term hedge funds, short-term non–hedge funds, long-term hedge funds, and long-term non–hedge funds. Out of these four groups, we find that only the trades of short-term hedge funds predict future stock returns.3 In terms of the distribution of sources in identifying the 13F-filing hedge funds among all institutions in our sample, the union database covers approximately 90% of our 13F-filing hedge fund sample. An additional 6% of the sample comes from ADV filings. The other three criteria combined (industry publications, company websites, and news articles in Factiva) constitute the remaining 4% of our 13F-filing hedge fund sample.4 Agarwal, Fos, and Jiang (Citation2013), similarly detect 23% (1,199 out of 5,188) of all 13F-filing institutions as hedge funds during their sample period that ends in 2008 as well.5 In order to eliminate any concerns that our main findings are simply due this difference in CR values between short-term hedge funds and short-term non–hedge funds, in a separate analysis we decompose short-term non–hedge funds into two groups based on their CR values (short-term non–hedge funds with low CR values and short-term non–hedge funds with high CR values) and examine the predictive power of these two groups’ trades separately. We find that even though the short-term non–hedge funds with high CR values have an average CR value (30.40%) greater than the average CR value of the short-term hedge funds (27.34%), the trades of short-term non–hedge funds with high CR values still fail to predict the future stock returns in a significant way in risk-adjusted terms. Thus, this result rules out the possibility that the strong predictive power of short-term hedge funds’ trades is due to short-term hedge funds’ slightly higher CR values.6 In untabulated results, when we analyze the percentage of market capitalization by hedge funds in our sample over the years, we notice that it is very small in the initial years of our sample (less than 5%). However, this figure gradually increases over time and the average hedge-fund share of total market capitalization turns out to be around 10% during our sample period, 1994–2019.7 We define active share for institution i at quarter end t as follows: Active Shareit= 12∑j=1N|PWijt−MWjt|, where N represents the number of stocks in our sample (i.e., CRSP universe with our filters discussed in Section 2.1), PWijt denotes the weight of stock j in institution i’s portfolio at quarter end t, and MWjt is the weight of stock j in our sample of stocks at quarter end t. It should be noted that while the benchmark index of a mutual fund is usually readily identifiable, it is impossible to identify a benchmark index for an institutional investor since institutional investors may or may not include mutual funds alongside many other types of investment funds. For this reason, we simply use the most general equity market index possible (i.e., the CRSP value-weighted index) as the benchmark when calculating the active share of each institution.8 In untabulated results, we calculate the active share measure based on two alternative methods. In the first alternative method, the investment universe of the investor consists of the stocks held in the current portfolio. In addition, we determine the implied weights of the stocks in the portfolio based on the market weights of these stocks in the CRSP universe. Then, we employ the active share formula indicated in footnote 7 and calculate the active share. In the second alternative method, we employ a similar approach as Koijen and Yogo (Citation2019) and assume that the investment universe of an investor consists of the stocks that were held in the most recent 12 quarters (i.e., current quarter and past 11 quarters). Next, for each quarter, we calculate the proportion of stocks in the portfolio that are not in the investment universe of the investor and denote this proportion as active share. Using these two methods, we still find that average AS of short-term institutions is higher than that of long-term institutions. Similarly, hedge funds have higher AS values than non-hedge funds, and short-term hedge funds have higher AS values in comparison to short-term non-hedge funds.9 At the end of each quarter t, we calculate the HHI for an institution i as follows: HHIi,t=∑j=1J(Ni,j,tPi,j,t∑j=1JNi,j,tPi,j,t)2, where N and P represent the number of shares of stock j held by investor i and share price at the end of quarter t, respectively.10 Middle group includes middle three quintiles.11 We obtain a qualitatively and quantitatively similar alpha spread (0.38%, t-stat= 4.06) between short-term hedge funds’ heavy buy and heavy sell trades when we measure risk-adjusted returns using Fama and French’s (Citation2015) five-factor model. Similarly, we do not find a statistically significant five-factor alpha spread between short-term non–hedge funds’ heavy buy and heavy sell trades.12 As a robustness check, we replicate our value-weighted portfolio results with equal-weighted portfolios as well. Similar to our findings in Table 2, we see that the L/S portfolio for short-term hedge fund demand produces a monthly return of 0.37% (t-stat = 4.97) and a monthly four-factor alpha of 0.33% (t-stat = 4.19) in the subsequent quarter. In contrast, the trades of short-term non–hedge funds do not produce any statistically significant returns or alphas in the short-run. Furthermore, consistent with the prior literature and our findings in Table 2, neither the L/S portfolio for long-term hedge funds nor the L/S portfolio for long-term non–hedge funds generate statistically significant positive returns and alphas in the following quarter.13 Consistent with Yan and Zhang (Citation2009), we use two lags in computing Newey-West heteroscedasticity-adjusted t-statistics.14 A detailed description of the variables is provided in Table A1 of the appendix.15 As a robustness check, we also run the regression specification in Column 3 of Table 3 using weighted least-squares with each firm weighted by its natural logarithm of market capitalization (SIZE). We report our results from this regression in Column 2 of Table 4. We find that the average coefficient estimate on short-term hedge fund demand (ΔSIO_HF) is still positive and statistically significant (0.161 with a t-stat = 5.59) and the average coefficient estimate on short-term non–hedge fund demand (ΔSIO_NHF) is once again statistically not different from zero (0.017 with a t-stat = 0.67).16 For ease of comparison, we report original results from column 3 of Table 3 once again in column 1 of Table 4.17 In an alternative robustness test, following Lou (Citation2012), when we use total flows and regress the panel of each hedge fund’s trades on the total flows, we once again obtain similar results in the sense that our main findings are driven by informed trading of short-term hedge funds, not by persistent demand shocks and/or price pressure.18 We obtain similar results for the predictive power of short-term hedge funds’ trades when we conduct our portfolio tests for this restricted sample as well.19 We use median market capitalization and book-to-market ratio to split the sample into two.20 Following Cooper, Gutierrez, and Hameed (Citation2004), we define a down market as one where the previous 12-month cumulative market return is negative.21 We use four lags in computing Newey-West heteroscedasticity-adjusted t-statistics.22 When we exclude closed positions from the extensive short-term hedge fund demand, our findings remain qualitatively similar.Additional informationNotes on contributorsMustafa O. CaglayanMustafa O. Caglayan, is a Professor, Department of Finance, College of Business, Florida International University, Miami, FL.Umut CelikerUmut Celiker, is an Associate Professor, Department of Finance, Monte Ahuja College of Business, Cleveland State University, Cleveland, OH.Mete TepeMete Tepe, CFA, is a Vice President, Northern Trust Corporation, 50 S La Salle St, Chicago, IL.
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所有短期机构投资者都被告知了吗?
摘要本文考察了对冲基金对机构投资者投资期限与交易信息性之间的实证关系是否存在差异效应。我们发现,短期机构需求与未来股票收益之间存在显著的正相关关系,而对于投资期限较短的非对冲基金机构,这种关系不存在。我们还提供证据表明,我们的结果不是由(错误的)假设驱动的,即对冲基金代表了大多数短期机构投资者,或者对冲基金需求构成了短期机构需求的大部分。关键词:对冲基金;短期机构投资者;sturnoverpl信用等级:2.0披露声明作者无利益冲突需要声明。本文仅代表作者的观点,不代表北方信托公司、其附属公司、客户或员工的观点。所有的错误是作者的唯一责任。我们感谢Vikas Agarwal与我们分享了一份提交13F持有的对冲基金的综合名单。我们还要感谢Kent Daniel和Kenneth French在他们的在线数据库中公开提供了大量数据。注1除了这些文章提供了短期投资期限与未来股票回报之间呈正相关关系的证据外,还有一些研究表明相反。例如,Cremers和Pareek (Citation2016)发现,交易频繁的基金通常表现不佳,从而得出营业额与业绩之间的负截面关系。同样,Chakrabarty、Moulton和Trzcinka (Citation2017)表明,大多数短期机构交易都是亏损的我们在13F中研究了一个更精细的样本,这与这些文献有很大的不同。具体来说,我们首先像Yan和Zhang (Citation2009)那样将机构投资者分为短期机构投资者和长期机构投资者,然后将每一组进一步分为对冲基金和非对冲基金两组。因此,我们分析了四组机构投资者的交易绩效:短期对冲基金、短期非对冲基金、长期对冲基金和长期非对冲基金。在这四组中,我们发现只有短期对冲基金的交易能够预测未来的股票收益就在我们样本中所有机构中识别13f备案对冲基金的来源分布而言,union数据库涵盖了我们13f备案对冲基金样本的约90%。另外6%的样本来自ADV申报。其他三个标准结合起来(行业出版物、公司网站和Factiva的新闻文章)构成了我们13f备案对冲基金样本的剩余4%Agarwal、Fos和Jiang (Citation2013)同样发现,在截至2008年的样本期内,所有13f申报机构中有23%(5188家中的1199家)是对冲基金5为了消除我们的主要发现仅仅是由于短期对冲基金和短期非对冲基金之间的CR值差异造成的担忧,在一个单独的分析中,我们根据它们的CR值将短期非对冲基金分为两组(CR值低的短期非对冲基金和CR值高的短期非对冲基金),并分别检查这两组交易的预测能力。我们发现,尽管具有高CR值的短期非对冲基金的平均CR值(30.40%)大于短期对冲基金的平均CR值(27.34%),但在风险调整条件下,具有高CR值的短期非对冲基金的交易仍然不能显著预测未来股票收益。因此,这一结果排除了短期对冲基金交易的强预测能力是由于短期对冲基金的CR值略高的可能性在未列表的结果中,当我们分析多年来样本中对冲基金市值的百分比时,我们注意到它在样本的最初几年非常小(小于5%)。然而,随着时间的推移,这一数字逐渐增加,在我们的样本期间(1994-2019.7),对冲基金占总市值的平均份额约为10%。我们在季度末定义机构i的活跃份额如下:∑j=1N|PWijt−MWjt|,其中N表示我们样本中的股票数量(即,在2.1节中讨论的过滤器的CRSP域),PWijt表示机构i的投资组合中股票j在第t季末的权重,MWjt是股票j在第t季末的股票样本中的权重。 值得注意的是,虽然共同基金的基准指数通常很容易识别,但不可能为机构投资者识别基准指数,因为机构投资者可能包括共同基金,也可能不包括许多其他类型的投资基金。因此,在计算每个机构的活跃份额时,我们简单地使用最通用的股票市场指数(即CRSP价值加权指数)作为基准在未列表的结果中,我们基于两种替代方法计算活跃份额度量。在第一种方法中,投资者的投资范围由当前投资组合中持有的股票组成。此外,我们根据这些股票在CRSP宇宙中的市场权重来确定投资组合中股票的隐含权重。然后,我们采用脚注7所示的主动份额公式计算主动份额。在第二种替代方法中,我们采用了与Koijen和Yogo (Citation2019)类似的方法,并假设投资者的投资范围包括最近12个季度(即当前季度和过去11个季度)持有的股票。接下来,对于每个季度,我们计算投资组合中不属于投资者投资范围的股票的比例,并将该比例表示为活跃份额。使用这两种方法,我们仍然发现短期机构的平均AS高于长期机构。同样,对冲基金的AS值高于非对冲基金,短期对冲基金的AS值高于短期非对冲基金在每个季度t结束时,我们计算机构i的HHI如下:HHIi,t=∑j=1J(Ni,j,tPi,j,t)∑j=1JNi,j,tPi,j,t)2,其中N和P分别表示投资者i持有的股票j的股数和第t季度末的股价中间组包括中间的三个五分位数当我们使用Fama和French (Citation2015)的五因素模型衡量风险调整后的回报时,我们在短期对冲基金的重买入和重卖出交易之间获得了定性和定量相似的alpha价差(0.38%,t-stat= 4.06)。同样,在短期非对冲基金的重买重卖交易中,我们没有发现统计学上显著的五因子alpha价差作为稳健性检查,我们也用等权重投资组合复制了价值加权投资组合的结果。与我们在表2中的发现相似,我们看到短期对冲基金需求的L/S投资组合在随后的季度产生0.37% (t-stat = 4.97)和0.33% (t-stat = 4.19)的月度四因子α。相比之下,短期非对冲基金的交易在短期内不会产生任何统计上显著的回报或α。此外,与之前的文献和我们在表2中的发现一致,长期对冲基金的L/S投资组合和长期非对冲基金的L/S投资组合在接下来的季度中都没有产生统计学上显著的正回报和α与Yan和Zhang (Citation2009)一致,我们在计算中西异方差调整的t统计量时使用了两个滞后附录15的表A1提供了这些变量的详细说明作为稳健性检查,我们还使用加权最小二乘法运行表3列3中的回归规范,每个公司都以其市值的自然对数(SIZE)加权。我们在表4的第2列中报告了我们的回归结果。我们发现,短期对冲基金需求(ΔSIO_HF)的平均系数估计值仍然是正的,具有统计学意义(0.161,t-stat = 5.59),短期非对冲基金需求(ΔSIO_NHF)的平均系数估计值在统计上与零无差异(0.017,t-stat = 0.67)。16为了便于比较,我们再次在表4.17的第1列中报告表3第3列的原始结果。在另一种鲁棒性测试中,继Lou (Citation2012)之后,当我们使用总流量并将每个对冲基金的交易面板回归到总流量时,我们再次获得类似的结果,即我们的主要发现是由短期对冲基金的明智交易驱动的,而不是由持续的需求冲击和/或价格压力驱动当我们对这个有限样本进行投资组合测试时,我们也得到了短期对冲基金交易预测能力的类似结果我们使用中位数市值和账面市值比将样本分成两部分根据Cooper、Gutierrez和Hameed (Citation2004)的研究,我们将过去12个月的累计市场回报为负的市场定义为下行市场我们使用四个滞后在计算新西部异方差调整的t统计量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Financial Analysts Journal
Financial Analysts Journal BUSINESS, FINANCE-
CiteScore
5.40
自引率
7.10%
发文量
31
期刊介绍: The Financial Analysts Journal aims to be the leading practitioner journal in the investment management community by advancing the knowledge and understanding of the practice of investment management through the publication of rigorous, peer-reviewed, practitioner-relevant research from leading academics and practitioners.
期刊最新文献
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