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Optimal hedging with the Vector Autoregressive model
Gatarek, Lukasz; Johansen, Søren - 2014
with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model that … correlation and cointegration parameters. For short holding periods the correlation impact is predominant. For long horizons, the … hedge ratio should overweight the cointegration parameters rather then short-run correlation information. In the innite …
Persistent link: https://www.econbiz.de/10010244526
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Optimal Hedging with the Vector Autoregressive Model
Gatarek, Lukasz; Johansen, Søren - Tinbergen Instituut - 2014
with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model that … correlation and cointegration parameters. For short holding periods the correlation impact is predominant. For long horizons, the … hedge ratio should overweight the cointegration parameters rather then short-run correlation information. In the innite …
Persistent link: https://www.econbiz.de/10011257633
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Optimal hedging with the cointegrated vector autoregressive model
Gatarek, Lukasz; Johansen, Søren - Økonomisk Institut, Københavns Universitet - 2014
(CVAR) with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model … correlation and cointegration parameters. For short holding periods the correlation impact is predominant. For long horizons, the … hedge ratio should overweight the cointegration parameters rather then short-run correlation information. In the infinite …
Persistent link: https://www.econbiz.de/10010937269
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Optimal hedging with the cointegrated vector autoregressive model
Johansen, Søren; Gatarek, Lukasz - School of Economics and Management, University of Aarhus - 2014
(CVAR) with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model … correlation and cointegration parameters. For short holding periods the correlation impact is predominant. For long horizons, the … hedge ratio should overweight the cointegration parameters rather then short-run correlation information. In the infinite …
Persistent link: https://www.econbiz.de/10010940883
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Optimal Hedging with the Vector Autoregressive Model
Gatarek, Lukasz; Johansen, Søren - 2014
with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model that … correlation and cointegration parameters. For short holding periods the correlation impact is predominant. For long horizons, the … hedge ratio should overweight the cointegration parameters rather then short-run correlation information. In the innite …
Persistent link: https://www.econbiz.de/10010377246
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A necessary moment condition for the fractional functional central limit theorem
Johansen, Søren; Nielsen, Morten Ørregaard - Economics Department, Queen's University - 2010
We discuss the moment condition for the fractional functional central limit theorem (FCLT) for partial sums of x_{t} = Delta^{-d} u_{t}, where d in (-1/2,1/2) is the fractional integration parameter and u_{t} is weakly dependent. The classical condition is existence of q≥2 and q1/(d+1/2)...
Persistent link: https://www.econbiz.de/10008671793
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A necessary moment condition for the fractional functional central limit theorem
Johansen, Søren; Nielsen, Morten Ørregaard - School of Economics and Management, University of Aarhus - 2010
We discuss the moment condition for the fractional functional central limit theorem (FCLT) for partial sums of x_{t}=Delta^{-d}u_{t}, where d in (-1/2,1/2) is the fractional integration parameter and u_{t} is weakly dependent. The classical condition is existence of qmax(2,(d+1/2)^{-1}) moments...
Persistent link: https://www.econbiz.de/10008680679
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A Necessary Moment Condition for the Fractional Functional Central Limit Theorem
Johansen, Søren; Nielsen, Morten Ørregaard - Økonomisk Institut, Københavns Universitet - 2010
We discuss the moment condition for the fractional functional central limit theorem (FCLT) for partial sums of x(t)=Δ^(-d)u(t), where d є (-1/2,1/2) is the fractional integration parameter and u(t) is weakly dependent. The classical condition is existence of qmax(2,(d+1/2)-¹) moments of the...
Persistent link: https://www.econbiz.de/10008684785
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The Selection of ARIMA Models with or without Regressors
Johansen, Søren; Riani, Marco; Atkinson, Anthony C. - School of Economics and Management, University of Aarhus - 2012
We develop a $C_{p}$ statistic for the selection of regression models with stationary and nonstationary ARIMA error term. We derive the asymptotic theory of the maximum likelihood estimators and show they are consistent and asymptotically Gaussian. We also prove that the distribution of the sum...
Persistent link: https://www.econbiz.de/10010851214
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The role of initial values in nonstationary fractional time series models
Johansen, Søren; Nielsen, Morten Ørregaard - School of Economics and Management, University of Aarhus - 2012
We consider the nonstationary fractional model $\Delta^{d}X_{t}=\varepsilon _{t}$ with $\varepsilon_{t}$ i.i.d.$(0,\sigma^{2})$ and $d1/2$. We derive an analytical expression for the main term of the asymptotic bias of the maximum likelihood estimator of $d$ conditional on initial values, and we...
Persistent link: https://www.econbiz.de/10010851220