This paper investigates if component GARCH models introduced by Engle and Lee (1999) and Ding and Granger (1996) can capture the long-range dependence observed in measures of time-series volatility. Long-range dependence is assessed through the sample autocorrelations, two popular semiparametric estimators of the long-memory parameter, and the parametric fractionally integrated GARCH (FIGARCH) ...

As extensions to the Black-Scholes model with constant volatility, option pricing models with time-varying volatility have been suggested within the framework of generalized autoregressive conditional heteroskedasticity (GARCH). However, application of the GARCH option pricing model has been hampered by the lack of simulation techniques able to incorporate early exercise features. In the presen...

Anatomy . . . . . . . . . . . . . . . . . . . . . . . e27 Nystagmus . . . . . . . . . . . . . . . . . . . . . . e31 Aetiology and classification of vertigo . . . . . . . e32 History . . . . . . . . . . . . . . . . . . . . . . . . e32 Clinical examination . . . . . . . . . . . . . . . . . e33 Interpretation of the examination . . . . . . . . . . e35 Therapy . . . . . . . . . . . . . . . . . . . ...

We provide predictions for DSGE models with incomplete information that are robust across structures. Our approach maps an incomplete-information model into a full-information economy time-varying expectation wedges and provides conditions ensure the rationalizable by some structure. Using our approach, we quantify potential importance of as source business cycle fluctuations in otherwise frict...

Modeling financial volatility is an important part of empirical finance. This paper provides a literature review of the most relevant volatility models, with a particular focus on forecasting models. We firstly discuss the empirical foundations of different kinds of volatility. The paper, then, analyses the non-parametric measure of volatility, named realized variance, and its empirical applica...

Multiresolution wavelet analysis is a natural way to decompose economic time series into components of various frequencies: long-run trend, business-cycle component, and high frequency noise. This paper illustrates the method on real GNP and inflation. The business-cycle component of the wavelet-filtered series closely resembles the series filtered by the approximate bandpass filter (Baxter and...

We introduce a new semiparametric model, GARCH with Functional EX ogeneous Liquidity (GARCH-FunXL), to capture the impact of liquidity, as implied by a stock exchange’s complete electronic limit order book (LOB), on asset price volatility. LOB-implied liquidity can be viewed as a functional rather than scalar or vectorial stochastic process. We adopt recent ideas from the functional data analys...

The conventional policy perspective is that lowering the interest rate increases output and inflation in the short run, while maintaining inflation at a higher level requires a higher interest rate in the long run. In contrast it has been argued that a Neo-Fisherian policy of setting an interest-rate peg at a fixed higher level will increase the inflation rate. We show that adaptive learning ar...