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Erschienen in: Journal of Economics and Finance 2/2011

01.04.2011

The exchange traded funds’ pricing deviation: analysis and forecasts

verfasst von: Richard A. DeFusco, Stoyu I. Ivanov, Gordon V. Karels

Erschienen in: Journal of Economics and Finance | Ausgabe 2/2011

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Abstract

In this paper, we study the pricing deviations of the three most liquid Exchange Traded Funds from the price of the underlying index. We examine Spider, Diamonds, and Cubes and find that their price deviation is predictable and nonzero. Therefore, the pricing deviation can be considered an additional cost of administering an Exchange Traded Fund. The reason for the predictability of the pricing deviation stems from its stationarity. The reasons for the pricing deviation being nonzero are the specific price discovery processes and dividend accumulation and distribution for this asset class. The pricing deviation can be used as a performance metric of Exchange Traded Funds and might motivate arbitrage strategies.

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Fußnoten
1
The ETFs analyzed in this study are all Unit Investment Trusts.
 
2
Diamonds are an exception, they pay accumulated dividends monthly.
 
3
The NAV is calculated as of 4:00 p.m. and the ETF price as of 4:15 p.m.
 
4
Discussed in detail in Elton et al. (2002).
 
5
The Jarque-Berra normality test is calculated by using the skewness (S) and kurtosis (K) in the following way: \( JB = n\left( {\frac{{S^2 }}{6} + \frac{{\left( {K - 3} \right)^2 }}{24}} \right) \approx \chi^2 (2) \).
 
6
A standard test for ARCH is based on the statistic \( LM = nR^2 \) where the R2 is from the auxiliary testing regression of \( e_t^2 = \alpha_0 + \alpha_1 e_{t - 1}^2 + \ldots + \alpha_p e_{t - p}^2 + \xi_t \).
 
7
We test for the presence of GARCH Model with Normally Distributed Residuals (Bollerslev 1986); GARCH Model with t-Distributed Residuals; GARCH-M Model Square Root Function Specification; GARCH-M Model Linear Function Specification (French et al. 1987); GARCH-M Model Logarithmic Function Specification; EGARCH Model (Nelson 1991); QGARCH Model (Sentana 1995), GJR-GARCH Model (Glosten et al. 1993), and TGARCH Model (Rabemananjara and Zakoian 1993).
 
8
The specification of the conditional variance in the EGARCH Model by Nelson (1991) is as follows: \( \log \left( {\sigma_t^2 } \right) = \omega + \sum\limits_{j = 1}^q {\beta_j \log \left( {\sigma_{t - j}^2 } \right) + \sum\limits_{i = 1}^p {\alpha_i } \left| {\frac{{\varepsilon_{t - i} }}{{\sigma_{t - i} }}} \right| + \sum\limits_{k = 1}^r {\gamma_k } \frac{{\varepsilon_{t - k} }}{{\sigma_{t - k} }}} \), the presence of asymmetric leverage EGARCH effects are tested with \( \gamma_k \ne 0 \).
 
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Metadaten
Titel
The exchange traded funds’ pricing deviation: analysis and forecasts
verfasst von
Richard A. DeFusco
Stoyu I. Ivanov
Gordon V. Karels
Publikationsdatum
01.04.2011
Verlag
Springer US
Erschienen in
Journal of Economics and Finance / Ausgabe 2/2011
Print ISSN: 1055-0925
Elektronische ISSN: 1938-9744
DOI
https://doi.org/10.1007/s12197-009-9090-6

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