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Two Essays on Idiosyncratic Volatility of Stock Markets

Two Essays on Idiosyncratic Volatility of Stock Markets
Author: Sen Dong
Publisher: Open Dissertation Press
Total Pages:
Release: 2017-01-27
Genre:
ISBN: 9781374744615

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This dissertation, "Two Essays on Idiosyncratic Volatility of Stock Markets" by 董森, Sen, Dong, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3122593 Subjects: Stocks - Prices - Mathematical models


Three Essays on Idiosyncratic Volatility

Three Essays on Idiosyncratic Volatility
Author: Anas Aboulamer
Publisher:
Total Pages: 157
Release: 2015
Genre:
ISBN:

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This thesis consists of three essays. The first essay (chapter two) examines the relationship between idiosyncratic volatility and future returns in the Canadian market. The negative relationship between realized idiosyncratic volatility (RIvol) and future returns uncovered by Ang et al. (2006) for the US market has been attributed to return reversals. For the Canadian market where return reversals have considerably less importance, we find that RIvol is positively related to future returns, even after controlling for risk loadings, illiquidity and reversals. Unlike the findings of Bali et al. (2011) for the US market, we find for the Canadian market that the relationship between extreme positive returns and future returns is positive and that idiosyncratic volatility is consistently positively related to future returns. The second essay (chapter three) discusses the relationship between closed end fund discounts and the level of uncertainty about its holdings. Our trade-off model states that the intrinsic premium of a closed-end fund (CEF) is equal to the CEF’s price minus both its NAVPS (net asset value per share) and the net present value (NPV) of its future benefits from liquidity, managerial abilities and leverage minus its managerial costs. Any additional premium will persist to the extent that arbitrage between these two price series is both costly and risky. We find that arbitrage incompleteness due to the uncertainties about this NPV and the CEF’s holdings, as captured by idiosyncratic risk and other proxies, explains over two-thirds of the variation in CEF premiums or their changes. As expected, we find that the CEF premium is negatively related to gross leverage, management fees, cash and bond holdings, and positively related to liquidity enhancement, CEF performance and net leverage. These results are consistent with our finding that changes in CEF prices and NAVPS are more integrated than segmented using the Kappa test of Kapadia and Pu (2012). The third essay (chapter four) investigates the information content of idiosyncratic volatility around the public release of M&A rumors. We examine the releases of hand-collected initial rumors about potential M&A for 2250 firms. Unlike previous research, we find that a strategy of investing in firms with rumors of lower (greater) credibility yields negative (positive) changes in idiosyncratic volatilities around the rumor dates and subsequent returns. We argue that this asymmetric effect on idiosyncratic volatilities is linked to asymmetric changes in the heterogeneity of the probabilities of actual M&A when conditioned on rumor credibility. Changes in idiosyncratic volatilities are positively related to the market implicit probabilities of M&A as measured by the ratio of the market values at the M&A announcement and rumor dates.


Two Essays on the Impact of Idiosyncratic Risk on Asset Returns

Two Essays on the Impact of Idiosyncratic Risk on Asset Returns
Author: Jie Cao
Publisher:
Total Pages: 232
Release: 2009
Genre:
ISBN:

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In this dissertation, I explore the impact of idiosyncratic risk on asset returns. The first essay examines how idiosyncratic risk affects the cross-section of stock returns. I use an exponential GARCH model to forecast expected idiosyncratic volatility and employ a combination of the size effect, value premium, return momentum and short-term reversal to measure relative mispricing. I find that stock returns monotonically increase in idiosyncratic risk for relatively undervalued stocks and monotonically decrease in idiosyncratic risk for relatively overvalued stocks. This phenomenon is robust to various subsamples and industries, and cannot be explained by risk factors or firm characteristics. Further, transaction costs, short-sale constraints and information uncertainty cannot account for the role of idiosyncratic risk. Overall, these findings are consistent with the limits of arbitrage arguments and demonstrate the importance of idiosyncratic risk as an arbitrage cost. The second essay studies the cross-sectional determinants of delta-hedged stock option returns with an emphasis on the pricing of volatility risk. We find that the average delta-hedged option returns are significantly negative for most stocks, and they decrease monotonically with both total and idiosyncratic volatility of the underlying stock. Our results are robust and cannot be explained by the Fama-French factors, market volatility risk, jump risk, or the effect of past stock return and volatility-related option mispricing. Our results strongly support a negative market price of volatility risk specification that is proportional to the volatility level. Reflecting this volatility risk premium, writing covered calls on high volatility stocks on average earns about 2% more per month than selling covered calls on low volatility stocks. This spread is higher when it is more difficult to arbitrage between stock and option.


Three Essays on Stock Market Volatility

Three Essays on Stock Market Volatility
Author: Chengbo Fu
Publisher:
Total Pages: 0
Release: 2019
Genre:
ISBN:

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This dissertation consists of three essays on stock market volatility. In the first essay, we show that investors will have the information in the idiosyncratic volatility spread when using two different models to estimate idiosyncratic volatility. In a theoretical framework, we show that idiosyncratic volatility spread is related to the change in beta and the new betas from the extra factors between two different factor models. Empirically, we find that idiosyncratic volatility spread predicts the cross section of stock returns. The negative spread-return relation is independent from the relation between idiosyncratic volatility and stock returns. The result is driven by the change in beta component and the new beta component of the spread. The spread-relation is also robust when investors estimate the spread using a conditional model or EGARCH method. In the second essay, the variance of stock returns is decomposed based on a conditional Fama-French three-factor model instead of its unconditional counterpart. Using time-varying alpha and betas in this model, it is evident that four additional risk terms must be considered. They include the variance of alpha, the variance of the interaction between the time-varying component of beta and factors, and two covariance terms. These additional risk terms are components that are included in the idiosyncratic risk estimate using an unconditional model. By investigating the relation between the risk terms and stock returns, we find that only the variance of the time-varying alpha is negatively associated with stock returns. Further tests show that stock returns are not affected by the variance of time-varying beta. These results are consistent with the findings in the literature identifying return predictability from time-varying alpha rather than betas. In the third essay, we employ a two-step estimation method to separate the upside and downside idiosyncratic volatility and examine its relation with future stock returns. We find that idiosyncratic volatility is negatively related to stock returns when the market is up and when it is down. The upside idiosyncratic volatility is not related to stock returns. Our results also suggest that the relation between downside idiosyncratic volatility and future stock returns is negative and significant. It is the downside idiosyncratic volatility that drives the inverse relation between total idiosyncratic volatility and stock returns. The results are consistent with the literature that investor overreact to bad news and underreact to good news.


Two Essays on Empirical Asset Pricing

Two Essays on Empirical Asset Pricing
Author: Yangqiulu Luo
Publisher:
Total Pages:
Release: 2013
Genre: Finance
ISBN:

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This dissertation consists of two essays on empirical asset pricing. The first essay examines if the idiosyncratic risk is priced. Theories such as Merton (1987) predict that idiosyncratic risk should be priced when investors do not diversify their portfolio. However, the previous literature has presented a mixed set of results of the pricing of idiosyncratic risk. We find strong evidence that idiosyncratic risk is priced differently across bull and bear markets. For the sample period from June 1946 to the end of 2010, a factor portfolio long on stocks with high idiosyncratic volatility and short on stocks with low idiosyncratic volatility yields an equal-weighted monthly return of 1.59% for bull markets but -1.29% for bear markets. These evidences support the hypothesis that investors are rewarded for betting on individual stocks during bull markets and holding more diversified portfolios during bear markets. The second essay examines the role of the limits to arbitrage in the negative effect of liquidity on subsequent stock returns. I hypothesize that if the negative effect persists because of the limits to arbitrage, the effect should be more pronounced when there are more severe limits to arbitrage. My empirical evidence supports the hypothesis. In addition, I find that the effect of the limits to arbitrage on the liquidity anomaly is not correlated to the liquidity risk.


Essays on Idiosyncratic Volatility and Asset Pricing

Essays on Idiosyncratic Volatility and Asset Pricing
Author: Fatma Sonmez Saryal
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

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In this thesis, I study three aspects of idiosyncratic volatility. First, I examine the relation between idiosyncratic volatility and future stock returns. Next, I examine the share price effect and its interaction with the idiosyncratic volatility on stock returns. Finally, I examine the time series pattern of monthly aggregate monthly idiosyncratic volatility. In the first chapter, I examine the relation between idiosyncratic volatility and future stock returns. In their paper, Ang, Hodrick, Xing, and Zhang [AHXZ (2006)] show that idiosyncratic volatility is inversely related to future stock returns: low idiosyncratic volatility stocks earn higher returns than do high idiosyncratic volatility stocks. The main contribution of this paper is to provide evidence that it is the month to month changes in idiosyncratic volatility that produce AHXZ's results. More specifically, a portfolio of stocks that move from Quintile 1 (low idiosyncratic volatility) to Quintile 5 (high idiosyncratic volatility) earns an average risk-adjusted return of 5.64% per month in the month of the change. Whereas, a portfolio of stocks that move from the highest to the lowest idiosyncratic volatility quintiles earns -0.94% per month in the month of the change. Eliminating all firm-month observations with idiosyncratic volatility quintile changes, I find the opposite results to AHXZ: it is persistently low idiosyncratic volatility stocks that earn lower returns than do persistently high idiosyncratic volatility stocks. I find that many of the extreme changes in idiosyncratic volatility are related to business events. In general, the pattern usually observed is that an announcement or an event increases uncertainty about a stock and hence, its idiosyncratic volatility increases. After the event, uncertainty is resolved and the stock returns to a lower idiosyncratic volatility quintile. In the second chapter, I examine how the level of the share price interacts with idiosyncratic volatility to affect future stock returns. Ignoring transaction costs, a trading strategy that is long high-priced and short low-priced stocks earns positive abnormal returns with respect to the Fama-French (1992) three factor model. However, the observed positive abnormal returns are less significant if momentum is taken into account via the Carhart (1997) four factor model. Also the relation between idiosyncratic volatility and future stock returns differs for price sorted portfolios: it is negative for low and mid-priced stocks but positive for high-priced ones. These results are robust for low and-mid-priced stocks even after momentum is included. However, the positive relation for high-priced stocks disappears due to relatively large loadings on momentum for high idiosyncratic volatility stocks. I also show that skewness and momentum are significant determinants of idiosyncratic volatility for low-priced stocks and high-priced stocks respectively. One implication is that the importance of idiosyncratic volatility for future stock returns may in part be due its role as a disguised risk factor: either for momentum for high-priced stocks and skewness for low and mid-priced stocks. In the third chapter, I investigate the time series pattern of aggregate monthly idiosyncratic volatility. It has been shown that new riskier listings in the US stock markets are a reason for the increase in idiosyncratic volatility during the period 1963-2004. First, I show that this is more pronounced for Nasdaq new listings. Second, I show that for Nasdaq, prior to 1994 low-priced new listings became riskier, whereas during the internet bubble period it is the higher-priced listings that became riskier. Third, I show that institutional holdings have increased over time and have had a different impact on each new listing group: a negative for pre-1994 listings and a positive impact for post-1994 listings. Hence, I conclude that the observed time-series pattern of idiosyncratic volatility is a result of the changing nature of Nasdaq's investor clientele.