Econometrics Commons^™

New Asymptotics Applied To Functional Coefficient Regression And Climate Sensitivity Analysis, Qiying Wang, Peter C. B. Phillips, Ying Wang

Research Collection School Of Economics

A general asymptotic theory is established for sample cross moments of nonstationary time series, allowing for long-range dependence and local unit roots. The theory provides a substantial extension of earlier results on nonparametric regression that include near-cointegrated nonparametric regression as well as spurious nonparametric regression. Many new models are covered by the limit theory, among which are functional coefficient regressions in which both regressors and the functional covariate are nonstationary. Simulations show finite sample performance matching well with the asymptotic theory and having broad relevance to applications, while revealing how dual nonstationarity in regressors and covariates raises sensitivity to bandwidth …

Effects Of External Debt On Inflation In The West African Monetary Zone (Wamz), Collins Anosike

Journal of Global Awareness

This research examined the effect of external public debt on inflation in the West African Monetary Zone (WAMZ) using annual data from 1960 to 2022. The study selected the six member countries of WAMZ, namely: Gambia, Guinea, Nigeria, Sierra Leone, Liberia, and Ghana, to examine their economic well-being, growth performance, external debt, and inflation over a 63-year period. This study is unique because it examines three periods, namely: pre-WAMZ (1960 to 2000); during WAMZ (2001 to 2022); and the entire period (1960 to 2022), extends previous studies by using updated data, and then shows the long-run positive effect of external …

Estimation And Inference In A Possibly Multicointegrated System With A Fixed Number Of Instruments, Yixiao Sun, Peter C. B. Phillips, Igor L. Kheifets

Research Collection School Of Economics

This paper shows that the mixed normal asymptotic limit of the trend IV estimator with a fixed number of deterministic instruments (fTIV) holds in both singular (multicointegrated) and nonsingular cointegration systems, thereby relaxing the exogeneity condition in (Phillips and Kheifets, 2024, Theorem 1(ii)). The mixed normality of the limiting distribution of fTIV allows for asymptotically pivotal F and t tests about the cointegration parameters and for simple efficiency comparisons of the estimators for different numbers K of instruments, as well as comparisons with the trend IV estimator when K→∞ with the sample size.

High-Dimensional Iv Cointegration Estimation And Inference, Peter C. B. Phillips, Igor L. Kheifets

Research Collection School Of Economics

A semiparametric triangular systems approach shows how multicointegrating linkages occur naturally in an I(1) cointegrated regression model when the long run error variance matrix in the system is singular. Under such singularity, cointegrated I(1) systems embody a multicointegrated structure that makes them useful in many empirical settings. Earlier work shows that such systems may be analyzed and estimated without appealing to the associated I(2) system but with suboptimal convergence rates and potential asymptotic bias. The present paper develops a robust approach to estimation and inference of such systems using high dimensional IV methods that have appealing asymptotic properties like those …

Food Price And Inflation Adjustments In Nigeria: Evidence From Threshold Cointegration, Usman A. Bello, Aliyu R. Sanusi

CBN Journal of Applied Statistics (JAS)

This paper investigates two stages of transmission through which inflation stabilization policy affects headline inflation by estimating a threshold cointegration model. The paper finds that asymmetric monetary shocks passing-through food prices exerts inflationary pressure on consumer prices, and is characterized by deep asymmetric movement, large degree of stickiness in adjusting downward, while exhibiting upward momentum in correcting food price fall. In addition, asymmetries were found in consumer price adjustment as food price shock transmits substantial inflationary pressure to consumer prices, while disinflationary effect originating from a fall in food price is inconsequential. The coefficients of adjustment were found to be …

Fully Modified Least Squares Cointegrating Parameter Estimation In Multicointegrated Systems, Igor L. Kheifets, Peter C. B. Phillips

Research Collection School Of Economics

Multicointegration is traditionally defined as a particular long run relationship among variables in a parametric vector autoregressive model that introduces additional cointegrating links between these variables and partial sums of the equilibrium errors. This paper departs from the parametric model, using a semiparametric formulation that reveals the explicit role that singularity of the long run conditional covariance matrix plays in determining multicointegration. The semiparametric framework has the advantage that short run dynamics do not need to be modeled and estimation by standard techniques such as fully modified least squares (FM-OLS) on the original system is straightforward. The paper derives FM-OLS …

Financial Inclusion And Monetary Policy - Investigating The Relationship Between Financial Inclusion And Monetary Policy: The Case Of Egypt, Salma Maher

Theses and Dissertations

In the past decade, financial inclusion has become an issue of increasing importance to developing nations. This is due to its perceived effects on poverty alleviation, sustainable growth and enhancing monetary policy effectiveness. Unfortunately, there is little empirical research on the effects of financial inclusion. The thesis hopes to contribute to the literature by inspecting the relationship between financial utilization indices and monetary policy in Egypt. The thesis utilizes quarterly data on outstanding deposits and loans from 2004 to 2020 as well as a VAR model – supplemented with an ARDL model – to test the aforementioned relationship. The thesis …

Pitfalls In Bootstrapping Spurious Regression, Peter C. B. Phillips

Research Collection School Of Economics

The bootstrap is shown to be inconsistent in spurious regression. The failure of the bootstrap is spectacular in that the bootstrap effectively turns a spurious regression into a cointegrating regression. In particular, the serial correlation coefficient of the residuals in the bootstrap regression does not converge to unity, so the bootstrap is not even first order consistent. The block bootstrap serial correlation coefficient does converge to unity and is therefore first order consistent, but has a slower rate of convergence and a different limit distribution from that of the sample data serial correlation coefficient. The analysis covers spurious regressions involving …

The Contribution Of Mining Sector To Sustainable Development In Saudi Arabia, Mourad Zmami, Ousama Ben-Salha, Sultan O. Almarshad, Houyem Chekki

Journal of Sustainable Mining

The mining sector development is among the priorities of the Saudi Vision 2030. There is currently a lot of interest in the role of the mining sector in Saudi Arabia. This research contributes to this debate by empirically assessing the effects of mining on sustainable development in Saudi Arabia during the period 1980-2018. Unlike many previous studies, the three sustainable development dimensions, namely economic, social, and environmental, are jointly considered. The cointegration analysis, based on the ARDL, Gregory-Hansen, and combined cointegration tests, confirms the existence of long-run relationships between mining and all sustainable development dimensions. Furthermore, the findings lend substantial …

Covid-19: A Black Swan?, Ben M. Uehlinger

Senior Honors Projects, 2020-current

A Black Swan, as termed by Nassim Taleb, is an unexpected, high magnitude event that is often rationalized in hindsight. 9/11 and the Financial Crisis of 2008 are two examples of these tail probability events. Though COVID-19 has been regarded as momentous and unexpected, Taleb does not credit it as a true Black Swan. This paper aims to compare COVID-19 to these recent Black Swans in terms of predictability and significance. Cointegration was tested across 11 major sectors. Further economic indicators were explored with the goal of discussing the broader context of each event. It was concluded that COVID-19 was …

Analysis Of The Determinants Of Money Demand In South Africa: 1990-2019, Ali Kole, Hassan N. Wali, Alhassan M. Idris, Ismail H. Sanusi

Bullion

This study estimates real intermediate money demand (RM2) and real broad money demand (RM3) for South Africa from 1990 Q1 to 2019 Q4. The main objective of the study was to explore the relationship between money demand and its determinants in South Africa with specific emphasis on the long-run relationship and stability between RM2, RM3,and their determinants. Auto-regressive Distributed Lag (ARDL) bound test for cointegration model developed by Pesaran (2001) was employed. The results found that both RM2 and RM3 are cointegrated with inflation rate, interest rate, exchange rate,real GDP, and credit to the private sector in South Africa. Credit …

Kernel-Based Inference In Time-Varying Coefficient Cointegrating Regression, Degui Li, Peter C. B. Phillips, Jiti Gao

Research Collection School Of Economics

This paper studies nonlinear cointegrating models with time-varying coefficients and multiple nonstationary regressors using classic kernel smoothing methods to estimate the coefficient functions. Extending earlier work on nonstationary kernel regression to take account of practical features of the data, we allow the regressors to be cointegrated and to embody a mixture of stochastic and deterministic trends, complications which result in asymptotic degeneracy of the kernel-weighted signal matrix. To address these complications new local and global rotation techniques are introduced to transform the covariate space to accommodate multiple scenarios of induced degeneracy. Under regularity conditions we derive asymptotic results that differ …

Econometric Estimates Of Earth's Transient Climate Sensitivity, Peter C. B. Phillips, Thomas Leirvik, Trude Storelvmo

Research Collection School Of Economics

How sensitive is Earth's climate to a given increase in atmospheric greenhouse gas (GHG) concentrations? This long-standing question in climate science was recently analyzed by dynamic panel data methods using extensive spatio-temporal data of global surface temperatures, solar radiation, and GHG concentrations over the last half century to 2010 (Storelvmo et al, 2016). Those methods revealed that atmospheric aerosol effects masked approximately one-third of the continental warming due to increasing GHG concentrations over this period, thereby implying greater climate sensitivity to GHGs than previously thought. The present study provides regularity conditions and asymptotic theory justifying the use of time series …

Essays On Inequality And Macroeconomic Stability, Thomas Hauner

Dissertations, Theses, and Capstone Projects

This dissertation consists of three chapters. . .

Chapter 1: Aggregate Wealth and Its Distribution as Determinants of Financial Crises: Panel Evidence This essay investigates the relationship between wealth inequality and financial crises across a panel of nine advanced economies over the past 100 years. While substantiation of a role for income inequality is ambiguous in the literature, evidence is presented suggesting a unique capacity for the accumulation of assets to increase the likelihood of a future financial crisis episode. Testing long-run panel data with a reduced form, two-way fixed effects model, estimates suggest that increasing wealth inequality, in an …

Three Essays On The European Sovereign Debt Crisis With A Special Focus On Greece, Flora Leventi

Dissertations, Theses, and Capstone Projects

This dissertation consists of three chapters where I examine several aspects of the European sovereign debt crisis. The first chapter focuses on systemic risk. Following the financial crisis of 2007-08, both in academic as well as policy circles, much of the research has focused toward the systemic importance of financial institutions. Parallel to that research, but to somewhat lesser extent, there have been improvements in our understanding of how risk is transmitted from the financial system to the real economy. This chapter investigates a related yet distinct manifestation of systemic risk, namely systemic sovereign risk. Using data on sovereign credit …

Estimating Smooth Structural Change In Cointegration Models, Peter C. B. Phillips, Degui Li, Jiti Gao

Research Collection School Of Economics

This paper studies nonlinear cointegration models in which the structural coefficients may evolve smoothly over time, and considers time-varying coefficient functions estimated by nonparametric kernel methods. It is shown that the usual asymptotic methods of kernel estimation completely break down in this setting when the functional coefficients are multivariate. The reason for this breakdown is a kernel induced degeneracy in the weighted signal matrix associated with the nonstationary regressors, a new phenomenon in the kernel regression literature. Some new techniques are developed to address the degeneracy and resolve the asymptotics, using a path-dependent local coordinate transformation to reorient coordinates and …

The Effects Of Borrowing Rates On Intra-Firm Disequilibria Between Equity Prices And Cds Premiums – Evidence From Dynamic Panel Analysis., Robert J. Brown

Undergraduate Economic Review

Cointegration techniques are used to estimate the long run equilibrium relationship between a firm’s CDS premium and its equity price, for a panel of large-cap US firms. From these results, the estimated disequilibrium in daily CDS premiums, with respect to equity prices, is constructed. Dynamic panel methods are employed to show the importance of lagged changes in libor rates as determinants of the estimated disequilibrium. Evidence is found that the extent to which the markets deviate from equilibrium will increase as one-month libor rates rise, but, counter-intuitively, will decrease (return towards equilibrium) as longer term libor rates rise.

Disentangling Greenhouse Warming And Aerosol Cooling To Reveal Earth's Climate Sensitivity, T. Storelvmo, T. Leirvik, U. Lohmann, Peter C. B. Phillips, M. Wild

Research Collection School Of Economics

Earth's climate sensitivity has long been subject to heated debate and has spurred renewed interest after the latest IPCC assessment report suggested a downward adjustment of its most likely range(1). Recent observational studies have produced estimates of transient climate sensitivity, that is, the global mean surface temperature increase at the time of CO2 doubling, as low as 1.3 K (refs 2,3), well below the best estimate produced by global climate models (1.8 K). Here, we present an observation-based study of the time period 1964 to 2010, which does not rely on climate models. The method incorporates observations of greenhouse gas …

Monetary-Fiscal Policy Interaction: An Empirical Analysis In Egypt, Sahar M. Abdel-Haleim, Mohamed Hassan, Lobna M. Abdel-Latif

Business Administration

This paper examines the effect of the developments introduced since 2003 in Egypt on the nature of interaction of monetary and fiscal policies and the achievement of macroeconomic objectives. Utilizing the Structural Vector Autoregression (SVAR) approach, the dynamic interaction of policies and their effects on macroeconomic aggregates are investigated. The findings support the success of the developments in eliminating the fiscal dominance. However, coordination between policies is still weak to achieve the macroeconomic stabilization objectives. The results also prove the conventional Keynesian effect of fiscal policy on real GDP. However, the fiscal multiplier is very small. Likewise, expansionary monetary policy …

Foreign Private Investment And Economic Growth In Nigeria: A Cointegrated Var And Granger Causality Analysis, F. Z. Abdullahi, S. Ladan, Haruna R. Bakari

CBN Journal of Applied Statistics (JAS)

This research uses a cointegration VAR model to study the contemporaneous long-run dynamics of the impact of Foreign Private Investment (FPI), Interest Rate (INR) and Inflation rate (IFR) on Growth Domestic Products (GDP) in Nigeria for the period January 1970 to December 2009. The Unit Root Test suggests that all the variables are integrated of order 1. The VAR model was appropriately identified using AIC information criteria and the VECM model has exactly one cointegration relation. The study further investigates the causal relationship using the Granger causality analysis of VECM which indicates a uni-directional causality relationship between GDP and FDI …

Asymptotic Theory For Zero Energy Functionals With Nonparametric Regression Applications, Qiying Wang, Peter C. B. Phillips

Research Collection School Of Economics

A local limit theorem is given for the sample mean of a zero energy function of a nonstationary time series involving twin numerical sequences that pass to infinity. The result is applicable in certain nonparametric kernel density estimation and regression problems where the relevant quantities are functions of both sample size and bandwidth. An interesting outcome of the theory in nonparametric regression is that the linear term is eliminated from the asymptotic bias. In consequence and in contrast to the stationary case, the Nadaraya-Watson estimator has the same limit distribution (to the second order including bias) as the local linear …

Limit Theory For Cointegrated Systems With Moderately Integrated And Moderately Explosive Regressors, Tassos Magdalinos, Peter C. B. Phillips

Research Collection School Of Economics

An asymptotic theory is developed for multivariate regression in cointegrated systems whose variables are moderately integrated or moderately explosive in the sense that they have autoregressive roots of the form rho(ni) = 1 + c(i)/n(alpha), involving moderate deviations from unity when alpha is an element of (0, 1) and c(i) is an element of R are constant parameters. When the data are moderately integrated in the stationary direction (with c(i) < 0), it is shown that least squares regression is consistent and asymptotically normal but suffers from significant bias, related to simultaneous equations bias. In the moderately explosive case (where c(i) > 0) the limit theory is mixed normal with Cauchy-type tail behavior, and the rate of convergence is explosive, as in the case of a moderately explosive scalar autoregression (Phillips and …

A New Approach To Robust Inference In Cointegration, Sainan Jin, Peter Phillips, Yixiao Sun

Research Collection School Of Economics

A new approach to robust testing in cointegrated systems is proposed using non-parametric HAC estimators without truncation. While such HAC estimates are inconsistent, they still produce asymptotically pivotal tests and, as in conventional regression settings, can improve testing and inference.

An Examination Of The Relationship Between Stock Index Cash And Futures Markets: A Cointegration Approach, Michael A. Pizzi, Andrew J. Economopoulos, Heather M. O'Neill

Business and Economics Faculty Publications

The existence of price discovery, market efficiency and market stability associated with spot and futures markets continues as a prominent discussion among academics, practitioners and regulators. Numerous papers examine the role of price discovery in the futures markets for various types of commodities and financial assets. Generally, the studies by Garbade and Silber (1983), Herbst, McCormack and West (1987), Kawaller, Koch and Koch (1987) and Schroeder and Goodwin (1991) indicate that price discovery occurs more significantly in the futures market compared to the cash market.