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NEARLY OPTIMAL TEST FOR LONG-RUN PREDICTABILITY WITH NEARLY INTEGRATED REGRESSORS

近单位根回归变量下的近最优长期可预测性检验

We develop a method for long-run predictability testing in series Y by a persistent series X. We consider a class of tests based on the long-run behavior of these series that are robust to short-run dynamics and attempt to attain the highest possible power. The test is based on the Whittle approximation to the likelihood ratio that is adjusted to remain accurate across a range of persistence in X . We verify the properties of this test in small simulations and compare this…

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Long-Horizon Return Regressions With Historical Volatility and Other Long-Memory Variables

使用历史波动率及其他长记忆变量的长期收益回归

The predictability of long-term asset returns increases with the time horizon as estimated in regressions of aggregated-forward returns on aggregated-backward predictive variables. This previously established evidence is consistent with the presence of common slow-moving components that are extracted upon aggregation from returns and predictive variables. Long memory is an appropriate econometric framework for modeling this phenomenon. We apply this framework to explain the…

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Risk and return: Long-run relations, fractional cointegration, and return predictability

风险与收益:长期关系、分数协整及收益可预测性

Univariate dependencies in market volatility, both objective and risk neutral, are best described by long-memory fractionally integrated processes. Meanwhile, the ex post difference, or the variance swap payoff reflecting the reward for bearing volatility risk, displays far less persistent dynamics. Using intraday data for the Standard & Poor's 500 and the volatility index (VIX), coupled with frequency domain methods, we separate the series into various components. We find…

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Integrated variance forecasting: Model based vs. reduced form

积分方差预测:基于模型的方法与简约式方法

This paper compares model-based and reduced-form forecasts of financial volatility when high-frequency return data are available. We derived exact formulas for the forecast errors and analyzed the contribution of the "wrong" data modeling and errors in forecast inputs. The comparison is made for "feasible" forecasts, i.e., we assumed that the true data generating process, latent states and parameters are unknown. As an illustration, the same comparison is carried out…

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