Volatile firms, stable economy

Hui Guo
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引用次数: 5

Abstract

Idiosyncratic stock volatility refers to the variation in returns to an individual company’s stock that is not explained by the overall market return. Given returns in a quarter, for example, we can run a regression of one company’s daily returns on daily market returns and use the standard deviation of the residuals as a measure of the idiosyncratic volatility of that company’s stock in that quarter. To obtain an aggregate measure, we calculate the idiosyncratic volatility for each of 500 stocks with the largest market capitalization using the CRSP (Center for Research of Security Prices) daily returns data and then calculate an average weighted by market value. In the accompanying chart, we plot this aggregate measure of idiosyncratic volatility for the period 1963:Q3 to 2002:Q4, with the shaded areas indicating business recessions dated by the National Bureau of Economic Research. We observe some interesting patterns. First, idiosyncratic volatility exhibits some persistence: If it is high, it is likely to remain at a relatively high level for a while. Second, idiosyncratic volatility fluctuates widely across time and it tends to rise especially during business recessions. It also has a dramatic upward spike during the stock market bubble in the late 1990s. Third, and most interestingly, as noted by many financial market observers, idiosyncratic volatility has increased on average in the past four decades: A linear time trend accounts for about 24 percent of its total variation. According to standard finance theory, a firm’s stock price is equal to its discounted expected future cash flows. Therefore, rising idiosyncratic volatility might reflect the fact that the firm-level economic performance has become more volatile. To investigate this hypothesis, some researchers have looked at firm-level variability in sales and earnings growth and have found upward trends in these measures as well. The increase in firm-level variability is in sharp contrast with the well-documented decline in the variability of the aggregate U.S. economy. Some tentative explanations have been put forward to reconcile the diverging trends in macroeconomic and firm-level volatilities. For example, Philippon (2003) suggests that the two phenomena can be explained simultaneously by the fact that goods markets have become more competitive.1 Compe ti tion between firms magnifies the effects of idiosyncratic productivity shocks, which helps explain the rise in firm volatility. At the same time, competitive pressures could induce firms to increase the frequency of their price adjustment, making the overall economy more resilient to aggregate demand shocks. The increased firm-level volatility has important implications for the U.S. economy. For example, with a higher degree of idiosyncratic volatility, a typical firm is presumably more vulnerable to bankruptcy risk and thus needs to pay a higher default premium to raise capital in the bond market. Indeed, Campbell and Taksler (2003) find that spreads between corporate and Treasury bond yields tend to widen during periods of higher idiosyncratic risk in the period between 1963 and 1999.2 This explanation is particularly relevant for the bond market in the late 1990s, when yield spreads widened substantially, despite the fact that investors were quite optimistic about the overall performance of the U.S. economy. This episode is less puzzling, however, if we take into account the dramatic increase in idiosyncratic volatility during this period.
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不稳定的公司,稳定的经济
股票的特殊波动率是指个别公司股票的收益变化不能用整体市场收益来解释。例如,给定一个季度的回报,我们可以对一家公司的每日市场回报进行回归,并使用残差的标准差来衡量该公司股票在该季度的特殊波动性。为了获得一个总体度量,我们使用CRSP(证券价格研究中心)每日回报数据计算500只市值最大的股票的特质波动率,然后计算市值加权的平均值。在随附的图表中,我们绘制了1963年第三季度至2002年第四季度的特殊波动率的汇总指标,阴影区域表示国家经济研究局(National Bureau of Economic Research)确定的商业衰退日期。我们观察到一些有趣的模式。首先,特殊波动率表现出一定的持久性:如果它很高,它可能会在一段时间内保持在相对较高的水平。其次,特殊波动率在时间上波动很大,尤其是在商业衰退期间,它往往会上升。在20世纪90年代末的股市泡沫期间,它也有过一次戏剧性的上升。第三,也是最有趣的是,正如许多金融市场观察家所指出的那样,在过去的四十年里,特殊波动率平均有所增加:线性时间趋势约占其总变化的24%。根据标准金融理论,一家公司的股票价格等于其贴现后的预期未来现金流量。因此,特殊波动率的上升可能反映了企业层面经济表现变得更加不稳定的事实。为了调查这一假设,一些研究人员研究了公司在销售和盈利增长方面的可变性,并发现了这些指标的上升趋势。公司层面可变性的增加与美国总体经济可变性的下降形成鲜明对比。人们提出了一些尝试性的解释,以调和宏观经济和企业层面波动的不同趋势。例如,Philippon(2003)认为,这两种现象可以同时解释为商品市场变得更具竞争力企业之间的竞争放大了特殊生产率冲击的影响,这有助于解释企业波动性的上升。与此同时,竞争压力可能促使企业增加价格调整的频率,使整体经济对总需求冲击更具弹性。企业层面波动加剧对美国经济具有重要影响。例如,在特殊波动率较高的情况下,一家典型的公司可能更容易受到破产风险的影响,因此需要支付更高的违约溢价才能在债券市场上筹集资金。事实上,Campbell和Taksler(2003)发现,在1963年至1999年期间,在特殊风险较高的时期,公司债券和国债收益率之间的利差往往会扩大。这一解释与20世纪90年代末的债券市场特别相关,当时收益率利差大幅扩大,尽管投资者对美国经济的整体表现相当乐观。然而,如果我们考虑到这一时期特殊波动性的急剧上升,这一事件就不那么令人费解了。
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