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Modeling and Forecasting the Distribution of Energy Forward Returns - Evidence from the Nordic Power Exchange

TLDR
The out-of-sample results for the Realized GARCH forecasts suggest a limited added value from using “traditional” realized volatility measures, and it is concluded that realized measures of volatility developed in recent years must be used with caution in this market.
Abstract
We explore intraday transaction records from NASDAQ OMX Commodities Europe from January 2006 to October 2013. We analyze empirical results for a selection of existing realized measures of volatility and incorporate them in a Realized GARCH framework for the joint modeling of returns and realized measures of volatility. An influential bias in these measures is documented, which motivates the use of a flexible and robust methodology such as the Realized GARCH. Within this framework, forecasting of the full density for long horizons is feasible, which we pursue. We document variability in conditional variances over time, which stresses the importance of careful modeling and forecasting of volatility. We show that improved model fit can be obtained in-sample by utilizing high-frequency data compared to standard models that use only daily observations. Additionally, we show that the intraday sampling frequency and method have significant implications for model fit in-sample. Finally, we consider an extensive out-of-sample exercise to forecast the conditional return distribution. The out-of-sample results for the Realized GARCH forecasts suggest a limited added value from using “traditional” realized volatility measures. For the conditional variance, a small gain is found, but for densities the opposite is the case. We conclude that realized measures of volatility developed in recent years must be used with caution in this market, and importantly that the use of high-frequency financial data in this market leaves much room for future research.

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Realized Beta GARCH: A Multivariate GARCH model with realized measures of volatility and covolatility

TL;DR: In this article, a multivariate GARCH model that incorporates realized measures of volatility and covolatility is introduced, and applied to market returns in conjunction with returns on an individual asset, the model yields a dynamic model of the conditional regression coefficient known as the beta.
Journal ArticleDOI

Modeling and forecasting exchange rate volatility in time-frequency domain

TL;DR: In this paper, the authors proposed an enhanced approach to modeling and forecasting volatility using high frequency data using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, they study the influence of different timescales on volatility forecasts.
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Analyzing Oil Futures with a Dynamic Nelson‐Siegel Model

TL;DR: In this paper, the dynamic Nelson-Siegel model is used to model the term structure of futures contracts on oil and obtain forecasts of prices of these contracts, and three factors are extracted and modelled in a very flexible framework.
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Modeling long memory volatility using realized measures of volatility: A realized HAR GARCH model

TL;DR: A parsimonious variant of the Realized GARCH model is developed by introducing the HAR specification of Corsi (2009) into the volatility dynamics, and a comparison of the theoretical and sample autocorrelation functions shows that the new model specification better captures the long memory dynamics of volatility.
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Estimating Stochastic Volatility Models using Prediction-based Estimating Functions

TL;DR: In this article, prediction-based estimating functions (PBEFs) are reviewed and PBEFs for the Heston (1993) stochastic volatility model are derived, and the finite sample performance of the PBEF based estimator is investigated in a Monte Carlo study.
References
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Journal ArticleDOI

Conditional heteroskedasticity in asset returns: a new approach

Daniel B. Nelson
- 01 Mar 1991 - 
TL;DR: In this article, an exponential ARCH model is proposed to study volatility changes and the risk premium on the CRSP Value-Weighted Market Index from 1962 to 1987, which is an improvement over the widely-used GARCH model.
Book

Stochastic integration and differential equations

TL;DR: In this article, the authors propose a method for general stochastic integration and local times, which they call Stochastic Differential Equations (SDEs), and expand the expansion of Filtrations.
Journal ArticleDOI

Econometric analysis of realized volatility and its use in estimating stochastic volatility models

TL;DR: In this paper, the moments and the asymptotic distribution of the realized volatility error were derived under the assumption of a rather general stochastic volatility model, and the difference between realized volatility and the discretized integrated volatility (which is called actual volatility) were estimated.
Journal ArticleDOI

A Simple Approximate Long-Memory Model of Realized Volatility

TL;DR: In this paper, an additive cascade model of volatility components defined over different time periods is proposed, which leads to a simple AR-type model in the realized volatility with the feature of considering different volatility components realized over different horizons and thus termed Heterogeneous Autoregressive model of Realized Volatility (HAR-RV).
ReportDOI

A Tale of Two Time Scales: Determining Integrated Volatility With Noisy High-Frequency Data

TL;DR: Under this framework, it becomes clear why and where the “usual” volatility estimator fails when the returns are sampled at the highest frequencies, and a way of finding the optimal sampling frequency for any size of the noise.
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