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European Journal of Economics, F<strong>in</strong>ance and Adm<strong>in</strong>istrative Sciences<br />

ISSN 1450-2275 Issue 13 (2008)<br />

© EuroJournals, Inc. 2008<br />

http://www.eurojournalsn.com<br />

<strong>F<strong>in</strong>ancial</strong> <strong>Market</strong> <strong>Efficiency</strong> <strong>in</strong> <strong>Turkey</strong>: <strong>Empirical</strong> <strong>Evidence</strong><br />

<strong>from</strong> <strong>Toda</strong> Yamamoto Causality Test<br />

Abdullah Yalama<br />

Department of Bus<strong>in</strong>ess Adm<strong>in</strong>istration (F<strong>in</strong>ance), Eskisehir Osmangazi University<br />

Tel: +90 0533 3584695<br />

E-mail: abdullahy@ogu.edu.tr<br />

Sibel Çelik<br />

Department of Applied Science Institute (Insurance and Risk Management)<br />

Dumlupınar Universit,<br />

Tel: +90 0543 4292573<br />

E-mail: sibelcelik1@gmail.com<br />

Abstract<br />

The purpose of study is to <strong>in</strong>vestigate semi strong form efficiency <strong>in</strong> Istanbul Stock<br />

Exchange <strong>Market</strong>, Foreign Exchange <strong>Market</strong> and Interbank Money <strong>Market</strong> <strong>in</strong> respect to<br />

changes <strong>in</strong> Currency <strong>in</strong> Circulation by us<strong>in</strong>g <strong>Toda</strong> Yamamoto Causality Test. As a result,<br />

there is a causality relationship runn<strong>in</strong>g <strong>from</strong> Currency <strong>in</strong> Circulation to Foreign Exchange<br />

<strong>Market</strong> and Currency <strong>in</strong> Circulation to Interbank Money <strong>Market</strong>; however there is no<br />

causality relationship runn<strong>in</strong>g <strong>from</strong> Currency <strong>in</strong> Circulation to Istanbul Stock Exchange<br />

<strong>Market</strong>. This result implies that while money markets are semi strong form efficient,<br />

capital market is not <strong>in</strong> <strong>Turkey</strong>.<br />

Keywords: Efficient <strong>Market</strong> hypothesis, <strong>Toda</strong> Yamamoto Causality Test, Emerg<strong>in</strong>g<br />

<strong>Market</strong>, <strong>Turkey</strong><br />

I. Introduction<br />

Efficient <strong>Market</strong> Hypothesis (EMH), def<strong>in</strong>ed as a market <strong>in</strong> which prices always reflect available<br />

<strong>in</strong>formation, has received a great deal of attention <strong>in</strong> f<strong>in</strong>ance literatüre for years (Fama, 1970).<br />

This paper <strong>in</strong>vestigates semi strong form efficiency <strong>in</strong> Istanbul Stock Exchange <strong>Market</strong> (ISE-<br />

100), Foreign Exchange <strong>Market</strong> (FEM) and Interbank Money <strong>Market</strong> (IMM) <strong>in</strong> respect to changes <strong>in</strong><br />

Currency <strong>in</strong> Circulation (CIC). In the literature, EMH mostly focuses on one market. This study differs<br />

<strong>from</strong> common literature <strong>in</strong> terms of focus<strong>in</strong>g three market’s efficiency.<br />

This paper is organized as follows: Section 2 presents the specific literature of comparable<br />

studies, Section 3 describes the data and the research method employed; section 4 stress researched<br />

restriction, section 5 shows the empirical evidence of <strong>Toda</strong> Yamamoto Causality test, and f<strong>in</strong>ally<br />

section 6 provides the summary and conclusion.<br />

II. Literature Review<br />

Efficient <strong>Market</strong> Hypothesis is controversial <strong>in</strong> the literature. For developed countries, some empirical<br />

studies emphasized market <strong>in</strong>efficiency (<strong>in</strong> Stock Exchange <strong>Market</strong>: Niederhoffer and Osborne, 1966;


89 European Journal of Economics, F<strong>in</strong>ance And Adm<strong>in</strong>istrative Sciences - Issue 13 (2008)<br />

Fama and French 1988; Poterba and Summers, 1988; Lo and MacK<strong>in</strong>lay 1988; <strong>in</strong> Foreign Exchange<br />

<strong>Market</strong>: Hakkio and Rush, 1989), on the contrary some emphasized market efficiency (<strong>in</strong> Stock<br />

Exchange <strong>Market</strong>: Fama 1965, 1970; Samuelson 1965, Cooper 1974, Brown and Easton, 1970; <strong>in</strong><br />

Interbank Money <strong>Market</strong>: Fildes and Fitzgerald, 1980; <strong>in</strong> Foreign Exchange <strong>Market</strong>: Lajaunie,<br />

McManis Naka, 1996). In addition to developed countries, EMH is disputable <strong>in</strong> emerg<strong>in</strong>g markets as<br />

well. As the same of developed markets, there is some practical evidence support<strong>in</strong>g the efficiency<br />

hypothesis (<strong>in</strong> Stock Exchange Marke: Alam and at all, 1997; Magnusson and Wydick, 2002); while<br />

some does not (<strong>in</strong> Stock Exchange <strong>Market</strong>: Kusi and Menyah, 2002; Smith, Jefferis and Ryoo, 2002;<br />

Gupta and Basu, 2007; <strong>in</strong> Foreign Exchange <strong>Market</strong>: Sarwar, 1997). When we compare the result of<br />

studies <strong>in</strong> developed and emerg<strong>in</strong>g countries, it is clear that studies <strong>in</strong> developed markets show stronger<br />

evidence of efficiency than emerg<strong>in</strong>g markets.<br />

In <strong>Turkey</strong>, difference <strong>from</strong> general literature; researches generally focus on test<strong>in</strong>g the semi<br />

strong form (Met<strong>in</strong> and Muradoğlu, 1996; Muradoğlu, Önkal, 1992; Balaban, Candemir, Kunter, 1996)<br />

or weak form efficiency (Aga and Kocaman, 2008; Buguk and Brorsen, 2003) <strong>in</strong> Turkish Stock<br />

Exchange <strong>Market</strong> (TSEM). The results of most studies show the weak form efficiency <strong>in</strong> TSEM<br />

(Buguk, 2003, Ozdemir, 2008). For example; Ozdemir (2008) tests weak form efficiency <strong>in</strong> Istanbul<br />

Stock Exchange <strong>Market</strong> us<strong>in</strong>g weekly data for the period 1990-2005. As employ<strong>in</strong>g different<br />

techniques (ADF test, unit root with two structural breaks, run test and variance ratio test), he accepts<br />

weak form efficiency <strong>in</strong> Istanbul Stock Exchange <strong>Market</strong>. But different <strong>from</strong> the support<strong>in</strong>g literature,<br />

some studies reject semi strong form efficiency (Balaban and Kunter, 1996; Balaban, Candemir and<br />

Kunter, 1996). For <strong>in</strong>stance; Balaban and Kunter (1996) test semi strong form efficiency <strong>in</strong> Foreign<br />

Exchange <strong>Market</strong>, Interbank Money <strong>Market</strong> and Istanbul Stock Exchange <strong>Market</strong> with respect to<br />

changes <strong>in</strong> Currency <strong>in</strong> Circulation for the period 1989-1995 us<strong>in</strong>g direct Granger Causality test. They<br />

conclude that f<strong>in</strong>ancial markets are not semi strong form efficient. It is seen that few studies, <strong>in</strong> the<br />

literature, concentrate on Foreign Exchange <strong>Market</strong> (FEM) and Interbank Money <strong>Market</strong> (IMM). For<br />

example Dowla (1995) and Culbertson (1989) present some evidence support<strong>in</strong>g weak form efficiency<br />

<strong>in</strong> FEM, additionally Abaan (1991) demonstrates some evidence which does not support semi strong<br />

form efficiency <strong>in</strong> IMM.<br />

As a result of literature review, it can be said that EMH studies’ mostly focuses on one market<br />

rather than multiple markets and this study differs <strong>from</strong> general literature <strong>in</strong> terms of focus<strong>in</strong>g on three<br />

market’s efficiency.<br />

III. Data and Methodology<br />

The data used <strong>in</strong> the empirical tests of this study is consist<strong>in</strong>g of the daily frequency for the period<br />

02.01.1990 to 27.06.2008: Interbank Money <strong>Market</strong> Interest Rate (IMM), Istanbul Stock Exchange-<br />

100 Index (ISE-100), Currency Basket Index (FEM) and Currency <strong>in</strong> Circulation (CIC). All data is<br />

obta<strong>in</strong>ed <strong>from</strong> the Central Bank of Republic of <strong>Turkey</strong>.<br />

<strong>Toda</strong> Yamamoto causality method (<strong>Toda</strong> and Yamamoto, 1995) used for test<strong>in</strong>g of semi strong<br />

form efficiency of ISE-100, FEM and IMM <strong>in</strong> respect to CIC <strong>in</strong> <strong>Turkey</strong>.<br />

To apply <strong>Toda</strong> Yamamoto causality method firstly, it is necessary to determ<strong>in</strong>e maximum order<br />

of <strong>in</strong>tegration of series say dmax; S<strong>in</strong>ce <strong>Toda</strong> Yamamoto method is valid for <strong>in</strong>tegrated and co<strong>in</strong>tegrated<br />

variables. Secondly, it is necessary to determ<strong>in</strong>e optimal lag of VAR model us<strong>in</strong>g Schwarz Information<br />

Criterion, say k. Thirdly it is necessary to estimate (k+ dmax) th order of VAR with Seem<strong>in</strong>gly Unrelated<br />

Regression (SUR) (Caporale and Pittis, 1999). Lastly, the hypothesis is tested us<strong>in</strong>g a standard Wald<br />

statistic test which has an asymptotic chi-square distribution with m degrees of freedom (<strong>Toda</strong> and<br />

Yamada, 1998).<br />

Model can be described as follows;<br />

k + d<br />

LISE −100t = ∑α<br />

1 LISE −100<br />

i<br />

t<br />

k + d<br />

i + ∑ β1<br />

LLCIC<br />

i<br />

t−i<br />

+ ξ1t<br />

i=<br />

1<br />

i=<br />

1<br />

− (1)


90 European Journal of Economics, F<strong>in</strong>ance And Adm<strong>in</strong>istrative Sciences - Issue 13 (2008)<br />

k + d<br />

LIFEM t = ∑α<br />

2 FEM i t<br />

k+<br />

d<br />

i + ∑ β 2 LLCIC<br />

i<br />

t−i<br />

+ ξ 2t<br />

i=<br />

1<br />

i=<br />

1<br />

k + d<br />

LIIM t = ∑α<br />

3 LIIM i t<br />

k + d<br />

i + ∑ β 3 LLCIC<br />

i<br />

t−i<br />

+ ξ1t<br />

i=<br />

1<br />

i=<br />

1<br />

− (2)<br />

− (3)<br />

LISE-100, LFEM, LIIM and LCIC are the logarithm of Istanbul Stock Exchange-100 Index,<br />

Currency Basket Index, Interbank Money <strong>Market</strong> Interest Rate, and Currency <strong>in</strong> Circulation,<br />

respectively. k is the optimal lag order, d is the is the maximal order of <strong>in</strong>tegration of the series <strong>in</strong> the<br />

system and ξ 1t<br />

, ξ 2t<br />

and ξ 3t<br />

are error terms that are assumed to be white noise.<br />

The ma<strong>in</strong> hypothesis can be stated as follows; <strong>in</strong> Equation 1; LCIC is not Granger causes LISE-<br />

100, if β1i = 0; <strong>in</strong> Equation 2; LCIC is not Granger causes LFEM, if β2i = 0; lastly <strong>in</strong> Equation 3, LCIC<br />

is not Granger causes LIIM, if β3i = 0.<br />

IV. Research Restrictions<br />

In this study, only daily data of Istanbul Stock Exchange-100 Index (ISE-100), Currency Basket Index<br />

(FEM), Interbank Money <strong>Market</strong> Interest Rate (IMM), and Currency <strong>in</strong> Circulation (CIC) are used for<br />

the period 02.01.1990 to 27. 06. 2008. So the results may not generalize <strong>in</strong> other countries.<br />

V. <strong>Empirical</strong> <strong>Evidence</strong><br />

ADF unit root test is applied for determ<strong>in</strong><strong>in</strong>g the order of <strong>in</strong>tegration of series which are presented at<br />

Table 1 (Dickey and Fuller, 1981).<br />

The result <strong>in</strong>dicates that all variables are not stationary <strong>in</strong> their levels. On the other hand, all<br />

variables are stationary at the level of first differences I(1). Given that all variables are found to be<br />

<strong>in</strong>tegrated of order one (dmax=1).<br />

Table I: Unit Root Test Result<br />

Variables ADF –t statistic for the model without trend ADF –t statistic for the model with trend<br />

ISE-100 -62.25973 -62.27992<br />

FEM -9.389981 -9.398515<br />

IIM -31.89447 -31.89503<br />

CIC -26.30532 -26.42755<br />

* MacK<strong>in</strong>non critical values for the significance level of 1 %, 5 % and 10 % respectively<br />

are as follows: for the model without trend -3,43, -2,86 and -2,56, for the model with trend ; -3,96, -3,41 and -3,12.<br />

The lag of level VAR models outl<strong>in</strong>ed <strong>in</strong> Equation 1, Equation 2, Equation 3 are k1=6, k2=6,<br />

and, k3=7 respectively which is selected by Schwarz Information Criterion.<br />

The results of the causality Wald test, obta<strong>in</strong>ed <strong>from</strong> the SUR estimation of (k+ dmax) th order<br />

of VAR model, are presented <strong>in</strong> Table II. The results for the period 1990 to 2008 <strong>in</strong>dicate that there<br />

may be a causality relationship runn<strong>in</strong>g <strong>from</strong> Currency <strong>in</strong> Cuirculation (CIC) to Foreign Exchange<br />

<strong>Market</strong> (FEM) and Currency <strong>in</strong> Circulation (CIC) to Interbank Money <strong>Market</strong> (IMM).


91 European Journal of Economics, F<strong>in</strong>ance And Adm<strong>in</strong>istrative Sciences - Issue 13 (2008)<br />

Table II: <strong>Toda</strong> Yamamoto Test Results (1990-2008)<br />

Null Hypothesis Lag (k) k+ dmax X 2 -test Conclusion<br />

LCIC does not Granger Cause LISE-100 6 6+1<br />

4.585112<br />

(0,5980)<br />

Do not Reject<br />

LCIC does not Granger Cause LFEM 6 6+1<br />

17,40361<br />

(0.0079)*<br />

Reject<br />

LCIC does not Granger Cause LIIM 7 7+1<br />

12.05877<br />

(0.0986)**<br />

Reject<br />

*coefficients are significant at α=0,01 level of significance<br />

**coefficients are significant at α=0,10 level of significance<br />

VI. Conclusion<br />

The objective of study is to <strong>in</strong>vestigate semi strong form efficiency <strong>in</strong> Istanbul Stock Exchange <strong>Market</strong><br />

(ISE-100), Foreign Exchange <strong>Market</strong> (FEM) and Interbank Money <strong>Market</strong> (IMM) <strong>in</strong> respect to<br />

changes <strong>in</strong> Currency <strong>in</strong> Circulation (CIC) by us<strong>in</strong>g <strong>Toda</strong> Yamamoto Causality Test. In the literature<br />

Efficient <strong>Market</strong> Hypothesis mostly focuses on one market; this study differs <strong>from</strong> common literature<br />

<strong>in</strong> terms of focus<strong>in</strong>g three market’s efficiency.<br />

As a result of <strong>Toda</strong> Yamamoto Causality Test, there is a causality relationship runn<strong>in</strong>g <strong>from</strong><br />

Currency <strong>in</strong> Cuirculation (CIC) to Foreign Exchange <strong>Market</strong> (FEM) and Currency <strong>in</strong> Circulation (CIC)<br />

to Interbank Money <strong>Market</strong> (CIC), however there is no causality relationship runn<strong>in</strong>g <strong>from</strong> Currency <strong>in</strong><br />

Cuirculation (CIC) to Istanbul Stock Exchange <strong>Market</strong> (ISE-100). This result implies that money<br />

markets are semi strong form efficient; however capital market is not <strong>in</strong> <strong>Turkey</strong>. Our results are not<br />

consistent with Balaban and Kunter’s studies which <strong>in</strong>dicate that all three markets are not semi strong<br />

form efficient <strong>in</strong> <strong>Turkey</strong>.<br />

Our study differs <strong>from</strong> Balaban and Kunter’s (1996) support<strong>in</strong>g semi strong form efficiency <strong>in</strong><br />

money markets.<br />

The results of our study support that money markets adjust to new <strong>in</strong>formation related to<br />

currency <strong>in</strong> circulation. At last, it may be possible for an <strong>in</strong>vestor to use currency <strong>in</strong> circulation to<br />

<strong>in</strong>crease expected returns <strong>in</strong> capital markets, but it is impossible for money markets.


92 European Journal of Economics, F<strong>in</strong>ance And Adm<strong>in</strong>istrative Sciences - Issue 13 (2008)<br />

References<br />

[1] Abaan, E. D., 1991. “Emisyon Duyuruları ve Bankalararası Piyasanın Etk<strong>in</strong>liği”, METU<br />

Studies <strong>in</strong> Development, Vol. 18, No. 4, pp. 351<br />

[2] Aga Mehmet, Kocaman Berna, 2008. “Efficient <strong>Market</strong> Hyphotesis and Emerg<strong>in</strong>g Capital<br />

<strong>Market</strong>s: <strong>Empirical</strong> <strong>Evidence</strong> From Istanbul Stock Exchange”, International Research Journal<br />

of F<strong>in</strong>ance and Economics, Issue 13, pp. 131-144<br />

[3] Alam M.Imam, Tanweer Hasan, Kadapakkam Palani-Rajan, 1999. “An Application of<br />

Variance-Ratio Test of Five Asian Stock <strong>Market</strong>s”, Economics, F<strong>in</strong>ance and Management,<br />

Vol:2 Issue, pp. 301-315<br />

[4] Balaban Ercan, Candemir H.Baturalp, Kunter Kürşat, 1996. “Stock <strong>Market</strong> <strong>Efficiency</strong> <strong>in</strong> a<br />

Develop<strong>in</strong>g Economy: <strong>Evidence</strong> From <strong>Turkey</strong>”, The Central Bank of The Republic Of <strong>Turkey</strong>,<br />

Research Department, Discussion Paper, No:9612, pp. 353-377<br />

[5] Balaban Ercan, Kunter Kürşat, 1996. “<strong>F<strong>in</strong>ancial</strong> <strong>Market</strong> <strong>Efficiency</strong> <strong>in</strong> a Develop<strong>in</strong>g Country:<br />

The Turkish Case”, The Central Bank of The Republic Of <strong>Turkey</strong>, Research Department,<br />

Discussion Paper, No:9611<br />

[6] Buguk Cumhur, Brorsen B.Wade, 2003. “Test<strong>in</strong>g Weak-Form <strong>Market</strong> Efficieny : <strong>Evidence</strong><br />

From The Istanbul Stock Exchange”, International Review of <strong>F<strong>in</strong>ancial</strong> Analysis, Vol.12,<br />

Issue.5 pp. 579-590<br />

[7] Caporale Guglielmo Maria, Pittis Nikitas 1999. “Efficient Estimation Of Co<strong>in</strong>tegrat<strong>in</strong>g Vectors<br />

And Test<strong>in</strong>g For Causality In Vector Autoregressions”, Journal of Economic Surveys, Vol. 13,<br />

No. 1, pp.1-35<br />

[8] Cooper, R. V. L. 1974). “Efficient Capital <strong>Market</strong>s And The Quantity The-Ory Of Money”,<br />

Journal of F<strong>in</strong>ance, 29 (3), pp. 887-908.<br />

[9] Craig S. Hakkio, Mark Rush, 1989. “<strong>Market</strong> efficiency and co <strong>in</strong>tegration: an application to the<br />

sterl<strong>in</strong>g and deutschemark exchange markets”, Journal of International Money and F<strong>in</strong>ance,<br />

Volume 8, Issue. 1, pp. 75-88<br />

[10] Culbertson, W. P., 1989. “<strong>Empirical</strong> Regularities <strong>in</strong> Black <strong>Market</strong>s for Currency”, World<br />

Development, Vol. 17, No. 12, pp. 1907-1919<br />

[11] Dickey David A. and Fuller Wayne A. 1981. “Likelihood Ratio Statistics for Autoregressive<br />

Time Series with a Unit Root”, Econometrica, Vol. 49, No. 4, pp. 1057-1072<br />

[12] Dowla Asif, 1995. “<strong>Efficiency</strong> of The Black <strong>Market</strong> for Foreign Exchange”, International<br />

Economic Journal, Vol.9, Issue.2, pp.89-100<br />

[13] Fama, E. F. 1965. “The behavior of stock market prices”, Journal of Bus<strong>in</strong>ess, Vol. 38, No. 1,<br />

pp.34-105<br />

[14] Fama, E. F. 1970. “Efficient capital markets: A review of theory and empirical work”, The<br />

Journal of F<strong>in</strong>ance, Vol. 25, No. 2, pp. 383-417.<br />

[15] Fama, E., French K., 1988. “Permanent and Temporary Components of Stock <strong>Market</strong> Prices”<br />

Journal of Political Economy,Vol.96, No:2, pp.246-273.<br />

[16] Fildes Robert A. and Fitzgerald M. Desmond, 1980. “<strong>Efficiency</strong> and Premiums <strong>in</strong> the Short-<br />

Term Money <strong>Market</strong>”, Journal of Money, Credit and Bank<strong>in</strong>g, Vol. 12, No. 4, Part 1, pp. 615-<br />

629.<br />

[17] Gupta Rakesh and Basu Parikshit K., 2007. “Weak Form <strong>Efficiency</strong> In Indian Stock <strong>Market</strong>s”,<br />

International Bus<strong>in</strong>ess & Economics Research Journal, Vol. 6, No. 3, pp. 57-64<br />

[18] Kusi Appiah, J. and Menyah, K. 2003. “Return predictability <strong>in</strong> African stock markets”, Review<br />

of <strong>F<strong>in</strong>ancial</strong> Economics, 12(3). pp. 247-271.<br />

[19] Lo, A. W., & MacK<strong>in</strong>lay, A. C. 1988. “Stock market prices do not follow random walks:<br />

<strong>Evidence</strong> <strong>from</strong> a simple specification test”, Review of <strong>F<strong>in</strong>ancial</strong> Studies, 1, pp. 41–66.<br />

[20] Magnusson, M. and B. Wydick, 2002. “How Efficient are Africa’s Emerg<strong>in</strong>g Stock <strong>Market</strong>s”,<br />

Journal of Development Studies, Volume:38, Issue:4, pp.141-156


93 European Journal of Economics, F<strong>in</strong>ance And Adm<strong>in</strong>istrative Sciences - Issue 13 (2008)<br />

[21] Met<strong>in</strong> Kıvılcım, Muradoğlu Gülnur, 1996. “<strong>Efficiency</strong> of the Turkish Stock Exchange with<br />

Respect to Monetary Variables: A Co<strong>in</strong>tegration Analysis”, Europeon Journal of Operations<br />

Research, Vol.90, Issue.3, pp.566-576<br />

[22] Muradoğlu, G. and D. Önkal, 1992. “Türk Hisse Senedi Piyasasında Yarı-Güçlü Etk<strong>in</strong>lik”,<br />

METU Studies <strong>in</strong> Development, Vol. 19, No. 2, pp. 197-207<br />

[23] Niederhoffer, V., & Osborne, M. 1966. “<strong>Market</strong> mak<strong>in</strong>g and reversal on the stock exchange”,<br />

Journal of the American Statistical Association, 61, pp. 897–916.<br />

[24] Ozdemir Zeynel Abid<strong>in</strong>, 2008. “Efficient <strong>Market</strong> Hypothesis: <strong>Evidence</strong> <strong>from</strong> a small open<br />

economy”, Applied Economics, Vol.40, Issue.5, pp.633-641<br />

[25] Poterba, J. M., & Summers, L. H. 1988. “Mean reversion <strong>in</strong> stock prices: <strong>Evidence</strong> and<br />

implications”, Journal of <strong>F<strong>in</strong>ancial</strong> Economics, 22, pp. 27–59<br />

[26] Samuelson, P. 1965. “Proof that properly anticipated prices fluctuate randomly” Industrial<br />

Management Review, 6,2; ABI/INFORM Global, pp.41-49<br />

[27] Sarwar, Ghulam, 1997. “<strong>Efficiency</strong> of black markets <strong>in</strong> foreign currencies <strong>in</strong> Southeast Asia”,<br />

Journal of Mult<strong>in</strong>ational <strong>F<strong>in</strong>ancial</strong> Management, 7, pp. 333-344.<br />

[28] Smith, G., Jefferis, K. and Ryoo, H.J. 2002. “African stock markets: multiple variance ratio<br />

tests of random walks”, Applied <strong>F<strong>in</strong>ancial</strong> Economics, 12(4), pp. 475-484.<br />

[29] <strong>Toda</strong>, H. Y. and T. Yamamoto 1995. “Statistical <strong>in</strong>ference <strong>in</strong> vector autoregressions with<br />

possibly <strong>in</strong>tegrated processes”, Journal of Econometrics, 66, pp. 225-250.<br />

[30] Yamada Hiroshi, <strong>Toda</strong> Hiro Y., 1998. “Inference <strong>in</strong> possibly <strong>in</strong>tegrated vector autoregressive<br />

models: Some F<strong>in</strong>ite sample evidence”, Journal of Econometrics, 86, pp.55-95

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