Consistent Estimation for Aggregated GARCH Processes

2001 ◽  
Author(s):  
Ivana Komunjer
Keyword(s):  
Consistent Estimation ◽  
Garch Processes

scholarly journals Properties and estimation of GARCH(1,1) model

2005 ◽  
Vol 2 (2) ◽  
Author(s):  
Petra Posedel
Keyword(s):  
Fourth Moment ◽  
Asymptotic Covariance Matrix ◽  
Likelihood Estimator ◽  
Consistent Estimation ◽  
Strong Stationarity ◽  
Asymptotic Covariance ◽  
Sampling Behavior ◽  
Garch Processes ◽  
Heavy Tailed ◽  
Quasi Maximum Likelihood

We study in depth the properties of the GARCH(1,1) model and the assumptions on the parameter space under which the process is stationary. In particular, we prove ergodicity and strong stationarity for the conditional variance (squared volatility) of the process. We show under which conditions higher order moments of the GARCH(1,1) process exist and conclude that GARCH processes are heavy-tailed. We investigate the sampling behavior of the quasi-maximum likelihood estimator of the Gaussian GARCH(1,1) model. A bounded conditional fourth moment of the rescaled variable (the ratio of the disturbance to the conditional standard deviation) is sufficient for the result. Consistent estimation and asymptotic normality are demonstrated, as well as consistent estimation of the asymptotic covariance matrix.

Eliciting Risk Preferences and Elasticity of Substitution

2020 ◽  
Vol 17 (4) ◽  
pp. 314-329
Author(s):  
Johan Burgaard ◽  
Mogens Steffensen
Keyword(s):  
Risk Aversion ◽  
Discount Rate ◽  
Predictive Power ◽  
Recursive Utility ◽  
Risk Averse ◽  
Indirect Utility ◽  
Consistent Estimation ◽  
On Certainty ◽  
Certainty Equivalents ◽  
Elasticity Of Intertemporal Substitution

Risk aversion and elasticity of intertemporal substitution (EIS) are separated via the celebrated recursive utility building on certainty equivalents of indirect utility. Based on an alternative separation method, we formulate a questionnaire for simultaneous and consistent estimation of risk aversion, subjective discount rate, and EIS. From a representative group of 1,153 respondents, we estimate parameters for these preferences and their variability within the population. Risk aversion and the subjective discount rate are found to be in the orders of 2 and 0, respectively, not diverging far away from results from other studies. Our estimate of EIS in the order of 10 is larger than often reported. Background variables like age and income have little predictive power for the three estimates. Only gender has a significant influence on risk aversion in the usually perceived direction that females are more risk-averse than males. Using individual estimates of preference parameters, we find covariance between preferences toward risk and EIS. We present the background reasoning on objectives, the questionnaire, a statistical analysis of the results, and economic interpretations of these, including relations to the literature.

DAY-OF-THE-WEEK EFFECT IN US BIOTECHNOLOGY STOCKS — DO POLICY CHANGES AND ECONOMIC CYCLES MATTER?

2016 ◽  
Vol 11 (02) ◽  
pp. 1650008
Author(s):  
SWARN CHATTERJEE ◽  
AMY HUBBLE
Keyword(s):  
Stock Returns ◽  
Small Firm ◽  
Economic Cycles ◽  
Trading Decisions ◽  
Portfolio Managers ◽  
Small Investors ◽  
Garch Processes ◽  
Day Of The Week ◽  
Firm Effect ◽  
Daily Returns

This study examines the presence of the day-of-the-week effect on daily returns of biotechnology stocks over a 16-year period from January 2002 to December 2015. Using daily returns from the NASDAQ Biotechnology Index (NBI), we find that the stock returns were the lowest on Mondays, and compared to the Mondays the stock returns were significantly higher on Wednesdays, Thursdays, and Fridays. The day-of-the-week effect on returns of biotechnology stocks remained significant even after controlling for the Fama–French and Carhart factors. Moreover, the results from using the asymmetric generalized autoregressive conditional heteroskedastic (GARCH) processes reveal that momentum and small-firm effect were positively associated with the market risk-adjusted returns of the biotechnology stocks during this period. The findings of our study suggest that active portfolio managers need to consider the day of the week, momentum, and small-firm effect when making trading decisions for biotechnology stocks. Implications for portfolio managers, small investors, scholars, and policymakers are included.

Whittle estimation in multivariate CCC-GARCH processes

2018 ◽  
Vol 48 (15) ◽  
pp. 3921-3940
Author(s):  
Abdelouahab Bibi ◽  
Karima Kimouche
Keyword(s):  
Whittle Estimation ◽  
Garch Processes
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