Sign and size asymmetry in the stock returns-implied volatility relationship

2020 ◽  
Vol 21 ◽  
pp. e00162 ◽  
Author(s):  
Panos Fousekis
2020 ◽  
Author(s):  
◽  
Parveshsingh Seeballack

The unifying theme of this dissertation is the study of the role of macroeconomic news announcements in the context of the equity market. We focus on two important areas of the asset pricing theory, namely price discovery and equity risk premium forecasting. Chapter 2 investigates the time-varying sensitivity of stock returns to scheduled macroeconomic news announcements (MNAs) using high-frequency data. We present new insights into how efficiently stock returns incorporate the informational content of MNAs. We further provide evidence that the stock market response to MNAs is cyclical, and finally we conclude Chapter 2 with an investigation into the factors driving the time-varying sensitivity of stock return to MNAs. Chapter 3 investigates the time-varying sensitivity of stock returns in the context of unscheduled macroeconomic news announcements using high-frequency data. We investigate the speed and persistence in stock returns’ response to unscheduled macro-news announcements, and whether the reactions are dependent on the state of the economy, or general investor sentiment level. Combined, Chapters 2 and 3 provide interesting insights into how equity market participants react to the arrival of scheduled and unscheduled macro-announcements, under varying economic conditions. Chapter 4 focuses on equity risk premium forecasting. We investigate the predictive ability of option-implied volatility variables at monthly horizon, under varying economic conditions. We innovate by constructing monthly announcement and non-announcement option-implied volatility predictors and assess whether the monthly announcement option-implied volatility predictors contain additional information for better out-of-sample predictions of the monthly equity risk premium. Each of the three empirical chapters explores a unique aspect of the asset pricing theory in the context of the U.S. equity market.


2021 ◽  
Author(s):  
Andrew Na

In this work we propose a parametric model using the techniques of time-changed subordination that captures the implied volatility smile. We demonstrate that the Fourier-Cosine method can be used in a semi-static way to hedge for quadratic, VaR and AVaR risk. We also observe that investors looking to hedge VaR can simply hold the amount in a portfolio of mostly cash, whereas an investor hedging AVaR will need to hold more risky assets. We also extend ES risk to a robust framework. A conditional calibration method to calibrate the bivariate model is proposed. For a robust long-term investor who maximizes their recursive utility and learns about the stock returns, as the willingness to substitute over time increases, the equity demand decreases and consumption-wealth ratio increases. As the preference for robustness increases the demand for risk decreases. For a positive correlation, we observe that learning about returns encourages the investor to short the bond at all levels of u and vice versa


2020 ◽  
Vol 21 (5) ◽  
pp. 621-657
Author(s):  
Thomas C. Chiang

Purpose Recent empirical studies by Antonakakis, Chatziantoniou and Filis (2013), Brogaard and Detzel (2015) and Christou et al. (2017) present evidence, which supports the notion that a rise in economic policy uncertainty (EPU) will lead to a decline in stock prices. The purpose of this paper is to examine US categorical policy uncertainty on stock returns while controlling for implied volatility and downside risk. In addition to the domestic impacts of policy uncertainty, this paper also presents evidence that changes in US policy uncertainty promptly propagates to the global stock markets. Design/methodology/approach This study uses a GED-GARCH (1, 1) model to estimate changes of uncertainties in US monetary, fiscal and trade policies on stock returns for the sample period of January 1990–December 2018. Robustness test is conducted by using different set of data and modeling techniques. Findings This paper contributes to the literature in several aspects. First, testing of US aggregate data while controlling for downside risk and implied volatility, consistently, shows that responses of stock prices to US policy uncertainty changes, not only display a negative effect in the current period but also have at least a one-month time-lag. The evidence supports the uncertainty premium hypothesis. Second, extending the test to global data reveals that US policy uncertainty changes have a negative impact on markets in Europe, China and Japan. Third, testing the data in sectoral stock markets mainly displays statistically significant results with a negative sign. Fourth, the evidence consistently shows that changes in policy uncertainty present an inverse relation to the stock returns, regardless of whether uncertainty is moving upward or downward. Research limitations/implications The current research is limited to the markets in the USA, eurozone, China and Japan. This study can be extended to additional countries, such as emerging markets. Practical implications This paper provides a model that uses categorical policy uncertainty approach to explain stock price changes. The parametric estimates provide insightful information in advising investors for making portfolio decision. Social implications The estimated coefficients of changes in monetary policy uncertainty, fiscal policy uncertainty and trade policy uncertainty are informative in assisting policymakers to formulate effective financial policies. Originality/value This study extends the existing risk premium model in several directions. First, it separates the financial risk factors from the EPU innovations; second, instead of using EPU, this study investigates the effects from monetary policy, fiscal policy and trade policy uncertainties; third, in additional to an examination of the effects of US categorical policy uncertainties on its own markets, this study also investigates the spillover effects to global major markets; fourth, besides the aggregate stock markets, this study estimates the effects of US policy uncertainty innovations on the sectoral stock returns.


Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3198
Author(s):  
Jean-Philippe Aguilar ◽  
Jan Korbel ◽  
Nicolas Pesci

We review and discuss the properties of various models that are used to describe the behavior of stock returns and are related in a way or another to fractional pseudo-differential operators in the space variable; we compare their main features and discuss what behaviors they are able to capture. Then, we extend the discussion by showing how the pricing of contingent claims can be integrated into the framework of a model featuring a fractional derivative in both time and space, recall some recently obtained formulas in this context, and derive new ones for some commonly traded instruments and a model involving a Riesz temporal derivative and a particular case of Riesz–Feller space derivative. Finally, we provide formulas for implied volatility and first- and second-order market sensitivities in this model, discuss hedging and profit and loss policies, and compare with other fractional (Caputo) or non-fractional models.


2021 ◽  
pp. 01-57
Author(s):  
Mathias S. Kruttli ◽  
◽  
Brigitte Roth Tran ◽  
Sumudu W. Watugala ◽  
◽  
...  

We present a framework to identify market responses to uncertainty faced by firms regarding both the potential incidence of extreme weather events and subsequent economic impact. Stock options of firms with establishments in forecast and realized hurricane landfall regions exhibit large increases in implied volatility, reflecting significant incidence uncertainty and long-lasting impact uncertainty. Comparing ex ante expected volatility to ex post realized volatility by analyzing volatility risk premia changes shows that investors significantly underestimate extreme weather uncertainty. After Hurricane Sandy, this underreaction diminishes and, consistent with Merton (1987), these increases in idiosyncratic volatility are associated with positive expected stock returns.


Author(s):  
A. W. Rathgeber ◽  
J. Stadler ◽  
S. Stöckl

Abstract It is a widely known theoretical derivation, that the firm’s leverage is negatively related to volatility of stock returns, although the empirical evidence is still outstanding. To empirically evaluate the leverage we first complement previous simulation studies by deriving theoretical predictions of leverage changes on the volatility smile. Even more important, we empirically test these predictions with an event study using intra-day Eurex option data and a unique data set of 138 ad-hoc news. For our theoretically derived predictions we observe that changes in leverage of DAX companies from 1999 to 2014 cause significant changes to the implied volatility smile.


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