The Kuala Lumpur stock market and economic factors: a general-to-specific error correction modeling test.ABSTRACT This study applies the Error-Correction Modeling technique to examine the short-run dynamic adjustment and the long-run equilibrium relationships between the four macroeconomic mac·ro·ec·o·nom·ics n. (used with a sing. verb) The study of the overall aspects and workings of a national economy, such as income, output, and the interrelationship among diverse economic sectors. variables and stock returns of Kuala Lumpur Kuala Lumpur (kwä`lə l m`p r), city (1990 est. pop. stock market. The macroeconomic variables analyzed an·a·lyze tr.v. an·a·lyzed, an·a·lyz·ing, an·a·lyz·es 1. To examine methodically by separating into parts and studying their interrelations. 2. Chemistry To make a chemical analysis of. 3. are interest rate, inflation rate, exchange rate, and the industrial productivity using monthly observations from January 1990 through June 2002. In addition, a dummy variable This article is not about "dummy variables" as that term is usually understood in mathematics. See free variables and bound variables. In regression analysis, a dummy variable is included to capture the impact of the 1997 Asian financial crisis. Econometric e·con·o·met·rics n. (used with a sing. verb) Application of mathematical and statistical techniques to economics in the study of problems, the analysis of data, and the development and testing of theories and models. results support the existence of short-run dynamic adjustment and the long-run, equilibrium relationships between the macroeconomic variables and the Kuala Lumpur stock market. 1. INTRODUCTION Studies on the short and the long-run relationships between economic variables are abundant, especially with respect to developed countries. Schwert's (1981) study shows that growth of industrial production is a major determinant determinant, a polynomial expression that is inherent in the entries of a square matrix. The size n of the square matrix, as determined from the number of entries in any row or column, is called the order of the determinant. of long-run stock returns. Geske and Roll (1983) showed that the real interest rate affect on stock return was significant but often small in most countries of their studies. The development of cointegration technique by Granger (1986) and Engle and Granger (1987) has encouraged many researchers to examine the relationships between economic variables and stock markets. A set of time-series variables are said to be cointegrated if they are integrated of the same order and a linear combination of them is stationary. Such linear combination would then point to the existence of a long-term relationship among the variables. An advantage of cointegration analysis is that through building an error-correction model (ECM (1) (Enterprise Change Management) See version control and configuration management. (2) (Error Correcting Mode) A Group 3 fax capability that can test for errors within a row of pixels and request retransmission. ), the dynamic co-movement among variables and the adjustment process towards long-term equilibrium may be examined. Fama (1990) argued that stock price reflects expectations of earnings, dividends, interest rates, and information about future real economic activity may be reflected in the stock price before it occurs. Moreover, stock returns will affect the wealth of investors which in turn affect the level of consumption and investment. The findings of Asprem (1989), Fama (1990, Bulmash and Trivoli (19991) show that there is a negative relationship between interest rates and stock returns in Korea. A significant positive relationship is observed between industrial production and Japanese stock returns in the long-run by Gjerde and Sattem (1999), fama (1990) and Asprem (1989). Asprem (1989), for example, compared the effects of economic factors on the stock markets of 10 European countries while Bulmash and Trivoli (1991) did similarly in the US market. Peiro (1996) compared such relationships in three European countries with the U.S. Cheng (1995) and Poon poon n. Any of several trees of the genus Calophyllum, of southern Asia, having light hard wood used for masts and spars. [Sinhalese p and Taylor (1991) examined the UK market, and Gjerde and Settem (1999) researched on Norwegian data. The number of similar studies using data from Asian markets is considerably more limited, and with few exceptions, the research has concentrated on the Asia's largest economy--Japan (Hamao, 1988; Brown and Otsuki, 1990; Kaneko and Lee, 1995). Most recently Maysami and Hui (2001) examined the short-run and the long-run relationships between stock returns and interest rate, inflation, money supply, exchange rate, real economic activities of Japan and South Korea. Using general-to-specific approach to error correction modeling during the period Q1 1986 to Q4 1998, their results suggest the existence of equilibrium relationships between macroeconomic variables and the stock returns of the two countries. Their findings of the positive relationship between industrial production and Korean stock returns are similar to those of Kwon et al. (1997), Kaneko and Lee (1995), and Mukherjee and Naka (1995). The aim of the study of Maysami and Hui (2001) is to extend Mukharjee and Naka's (1995) analysis of the Japanese market; and Kwon at al. (1997) examination of the Korean case. Malaysia, one of the high performing economies in Southeast Asia Southeast Asia, region of Asia (1990 est. pop. 442,500,000), c.1,740,000 sq mi (4,506,600 sq km), bounded roughly by the Indian subcontinent on the west, China on the north, and the Pacific Ocean on the east. achieved an impressive growth over the past three decades. Her strong economic performance continued during the 1990s prior to the Asian financial crisis in 1997. GDP GDP (guanosine diphosphate): see guanine. averaged about 8.5 per cent a year; unemployment was below 3 per cent; prices and exchange rate remained stable; and international reserves were robust. From 1970 to the mid 1990s, the country's high investment ratio facilitates the dramatic shift in the structure of the economy from agriculture and mining to a growing manufacturing. The strong performance in the manufacturing sector contributed to the rapid growth of the country's GDP. Given its strong linkages with other sectors in the economy, this had spillover spill·o·ver n. 1. The act or an instance of spilling over. 2. An amount or quantity spilled over. 3. A side effect arising from or as if from an unpredicted source: effects which continued to support strong growth in several sub-sectors of the economy. In the mid 1990s exports declined and a large current account deficit developed in the context of a gradual appreciation of the effective exchange rate. While the investment-led growth strategy was successful in raising output and income, investment quality had deteriorated. This eventually led to weakness in the banking and corporate sectors, exposing the economy to the contagion Contagion The likelihood of significant economic changes in one country spreading to other countries. This can refer to either economic booms or economic crises. Notes: An infamous example is the "Asian Contagion" that occurred in 1997 and started in Thailand. of the Asian crisis. As market confidence increasingly diminished large portfolio outflows took place, and equity and property values declined substantially. The ringgit ring·git n. See Table at currency. [Malay.] Noun 1. ringgit - the basic unit of money in Malaysia; equal to 100 sen came under tremendous pressure. This heightened upward pressure on domestic interest rates, intensified in·ten·si·fy v. in·ten·si·fied, in·ten·si·fy·ing, in·ten·si·fies v.tr. 1. To make intense or more intense: outflows of ringgit funds, and exacerbated banks' liquidity problems and overall financial distress Financial distress Events preceding and including bankruptcy, such as violation of loan contracts. . The initial response of the authorities was to increase interest rates and curb fiscal deficit in an attempt to anchor market confidence in the financial system. Anticipation of further devaluation devaluation, decreasing the value of one nation's currency relative to gold or the currencies of other nations. It is usually undertaken as a means of correcting a deficit in the balance of payments. of the ringgit increased. By the summer of 1998, the stock market had fallen to its lowest level in recent history. However, the growth of real economy recorded strong performance in 2000 and 2001 with real GDP Real GDP This inflation-adjusted measure that reflects the value of all goods and services produced in a given year, expressed in base-year prices. Often referred to as "constant-price", "inflation-corrected" GDP or "constant dollar GDP". growth of 8.8 percent. The favorable fa·vor·a·ble adj. 1. Advantageous; helpful: favorable winds. 2. Encouraging; propitious: a favorable diagnosis. 3. performance of the real sector had contributed towards enhancing the health of the financial sector and facilitating efforts in restructuring restructuring - The transformation from one representation form to another at the same relative abstraction level, while preserving the subject system's external behaviour (functionality and semantics). the corporate sector. The overall macroeconomic fundamentals is expected to remain strong in future. This study thus extends the literature by examining the case of Malaysian market applying Hendry's (1986) general-to-specific approach to error correction modeling (ECM) analysis. The empirical results are based on Augmented Dickey-Fuller (ADF (1) (Application Development Facility) An IBM programmer-oriented mainframe application generator that runs under IMS. (2) (Automatic Document Feeder) A paper stacker that feeds one sheet of paper at a time into the unit. ) & Phillips-Peron (PP) unit root tests of stationarity, and the Error-Correction Modeling (ECM) tests. The rest of this paper is organized as follows. Section 2 discusses data sources and the definition of variables. The hypotheses and the methodology are discussed in section 3. Empirical results are discussed in section 4, and the last section V concludes the paper. 2. THE DATA SERIES AND THE VARIABLES This study focuses on five macroeconomic variables, such as short term interest rates ORS ORS oral rehydration salts. Oral Rehydration Solution (ORS) A liquid preparation developed by the World Health Organization that can decrease fluid loss in persons with diarrhea. ), exchange rates of Malaysian ringgit The ringgit (unofficially known as the Malaysian dollar), is the currency of Malaysia. It is divided into 100 sen (cents) and its currency code is MYR (Malaysian Ringgit). (EXR EXR External Relations Department (International Monetary Fund) EXR Exception Request EXR Extended Range ) in terms of US dollar, inflation rate (INF INF interferon. ), industrial productivity (INDP INDP Industrial Production ), and the Kuala Lumpur composite stock price index (KSP KSP Kentucky State Police KSP Machine Gun (Swedish military) Ksp Solubility Product Constant KSP Kulang Sa Pansin (song) KSP KSP Sound Player (audio player for Windows) ). The data on these variables are obtained from the Bloomberg Financial Databank, and consists of monthly series from January 1990 to June 2002. We used the change in industrial production (INDP) as a proxy for GDP growth rate since monthly series for the latter is not available. Definitions of variables with their transformations are presented in Table 1. The stock indices are not adjusted for dividend payments. Although stock returns consist of both price change and dividends, the study considers only the price variation component since dividends in absolute terms (Alg.) such as are known, or which do not contain the unknown quantity. See also: Absolute tend to be stable over time (Asprem, 1989). It is the movements in price, which constitute the volatile component of the stock returns. Since the objective of this study is to explain the variability in stock returns, the omission omission n. 1) failure to perform an act agreed to, where there is a duty to an individual or the public to act (including omitting to take care) or is required by law. Such an omission may give rise to a lawsuit in the same way as a negligent or improper act. of the dividend payments should not pose a problem. As pointed out by Fama (1981), a shortcoming short·com·ing n. A deficiency; a flaw. shortcoming Noun a fault or weakness Noun 1. of regressing the changes in stock returns and the macroeconomic variables is the use of actual growth rates Growth Rates The compounded annualized rate of growth of a company's revenues, earnings, dividends, or other figures. Notes: Remember, historically high growth rates don't always mean a high rate of growth looking into the future. of the variables instead of anticipated growth rates. Asprem (1989). However, argued that most investors would form their expectations based on all current available information. Therefore, it would be reasonable to assume that the actual values of the variables are unbiased estimates of the ex-ante expectations. 3. HYPOTHESIS AND METHODOLOGY 3.1 Hypothesis I hypothesize hy·poth·e·size v. hy·poth·e·sized, hy·poth·e·siz·ing, hy·poth·e·siz·es v.tr. To assert as a hypothesis. v.intr. To form a hypothesis. a relationship between the Kulala Lumpur stock market and four macroeconomic variables: exchange rate, interest rate, inflation rate, and industrial productivity; and additionally a dummy variable to capture the effects of the Asian financial crisis. Depreciation of domestic currency leads to a relative decrease in price of a country's products in foreign markets, an increase in exports and a decrease in imports; and hence increase cash flows into the country. The relationships between exchange rates and stock prices is thus become an issue for empirical studies Empirical studies in social sciences are when the research ends are based on evidence and not just theory. This is done to comply with the scientific method that asserts the objective discovery of knowledge based on verifiable facts of evidence. . The intuition intuition, in philosophy, way of knowing directly; immediate apprehension. The Greeks understood intuition to be the grasp of universal principles by the intelligence (nous), as distinguished from the fleeting impressions of the senses. behind the relationship between interest rates and stock prices is straightforward. An increase in the rate of interest raises the opportunity cost of holding cash and is likely to lead to a substitution effect between stocks and other interest bearing securities. Additionally, changes in both short-term and long-term rates are expected to affect the discount rate in the same direction via their effect on the nominal risk-free rate Risk-free rate The rate earned on a riskless asset. (Mukherjee and Naka, 1995). Since inflation is positively related to money growth rate (Fama, 1981), an increase in the money supply may lead to an increase in the discount rate, and lower stock prices. However, this negative effect may be countered by the economic stimulus provided by money growth which would likely increase cash flows and stock prices (Mukherjee and Naka, 1995). Economic theory suggests a positive relationship between the unexpected inflation and stock returns as equities are "hedges" against (unanticipated) inflation since they represent claims to real assets Real assets Identifiable assets, such as land and buildings, equipment, patents, and trademarks, as distinguished from a financial investment. . Fisher (1931), citing market efficiency and noting that the nominal interest rate Nominal Interest Rate The interest rate unadjusted for inflation. Notes: Not taking into account inflation gives a less realistic number. See also: Inflation, Interest Rate, Real Interest Rate Nominal interest rate can be expressed as the sum of an expected real return and an expected inflation rate, concluded the same. In addition, he believed that the real and monetary sectors of the economy are largely independent and that the expected real return is determined by real factors such as the productivity of capital, investor time preferences and tastes for risk. Hence, the expected real return is determined solely by real factors and expected real returns are independent of inflationary in·fla·tion·ar·y adj. Of, associated with, or tending to cause inflation: inflationary prices; inflationary policies. Adj. 1. expectations. On average, investors are compensated for changes in purchasing power Purchasing Power 1. The value of a currency expressed in terms of the amount of goods or services that one unit of money can buy. Purchasing power is important because, all else being equal, inflation decreases the amount of goods or services you'd be able to purchase. 2. . Hence, the hypothesized relationship between stock prices and inflation is positive. Finally, stock valuation involves discounting cash flows or expected dividend streams over long periods in the future, the price of a firm's stock reflects investor's expectations of future earnings, which are likely to be influenced by measures for real activity. Kwon et al. (1997) found the Korean stock market to be significantly related to real economic activities while Kaneko and Lee (1995) and Mukherjee and Naka (1995) found positive relationships between the industrial production and stock returns. Thus I hypothesize a positive relationship between industrial growth and the stock return. 3.2. Methodology Economic analysis suggests that there is a long-run equilibrium relationship between the economic variables involved in economic theory under investigation. Applied econometric analysis in trying to estimate these long-run relationships implicitly considers the 'constancy doctrine" of the variables involved, in terms of means and variances being constant while not dependent on time. However, empirical research Noun 1. empirical research - an empirical search for knowledge inquiry, research, enquiry - a search for knowledge; "their pottery deserves more research than it has received" has shown that in most cases the 'constancy doctrine' is not satisfied by the time-series data. Recent econometric theory Econometric Theory is an economic journal specialising in econometrics. Its editor is Peter Phillips. According to research in 2003 it is the seventh most important economic journal. Source
n. 1. (Arch.) An out-of-door flight of steps, as in a garden, leading to a terrace or to an upper story; - usually applied to mediævel or later structures of some architectural pretensions. (1988) reported that a large number of macroeconomic time series data for the U.S. are characterized char·ac·ter·ize tr.v. character·ized, character·iz·ing, character·iz·es 1. To describe the qualities or peculiarities of: characterized the warden as ruthless. 2. by unit root non-stationary processes. Under these circumstances, the conventional t and F tests based on estimation estimation In mathematics, use of a function or formula to derive a solution or make a prediction. Unlike approximation, it has precise connotations. In statistics, for example, it connotes the careful selection and testing of a function called an estimator. methods which consider the 'constancy doctrine' (assumed staionarity) are no longer valid giving misleading inferences, i.e., 'spurious' regression (Granger and Newbold, 1974). Banerjee et al. (1993) even argued that neither t nor F tests have the standard distribution of stationary series, so there is a tendency to reject the null hypothesis null hypothesis, n theoretical assumption that a given therapy will have results not statistically different from another treatment. null hypothesis, n when in fact it should not be rejected. A possible way to avoid this problem is first-differencing all economic data before running a regression (Box and Jenkins, 1970). Although this can help solve the question of spurious spu·ri·ous adj. Similar in appearance or symptoms but unrelated in morphology or pathology; false. spurious simulated; not genuine; false. regressions, Enders (1995), suggested that valuable information concerning the long-run relationships among the levels of series postulated pos·tu·late tr.v. pos·tu·lat·ed, pos·tu·lat·ing, pos·tu·lates 1. To make claim for; demand. 2. To assume or assert the truth, reality, or necessity of, especially as a basis of an argument. 3. by economic theory may be removed following this methodology. As a result researchers in the field after several revisions included the systematic verification of non-stationarity of the time series economic variables and cointegration, among others. Cointegration analysis (Granger, 1986; Engle and Granger, 1987; Johansen, 1988; Johansen and Juselius, 1990) has been regarded as perhaps the most revolutionary development in econometrics econometrics, technique of economic analysis that expresses economic theory in terms of mathematical relationships and then tests it empirically through statistical research. since the mid 1980s. Cointegration analysis refers to a group of variables that drift together, although individually they are non-stationary in the sense that they tend upwards and downwards over time. This common drifting of variables makes linear relationships between these variables over long period of time thus translating into equilibrium relationships of economic variables. If these linear relationships do not hold over long period of time then the corresponding variables are 'not-cointegrated'. Generally, cointegration analysis is a technique used in the estimation of the long-run or, equilibrium parameters in a relationship with non-stationary variables and is used for testing the dynamic (error-correction) models (ECM) in order to verify the validity of underlying economic theories. Thus the solution is the use of cointegration and error-correction modeling approaches (Hendry, 1986; Engle and Granger, 1987). Augustine and Shwiff (1993) summarize sum·ma·rize intr. & tr.v. sum·ma·rized, sum·ma·riz·ing, sum·ma·riz·es To make a summary or make a summary of. sum the four desirable features of ECM: (i) it avoids the possibility of spurious correlation Noun 1. spurious correlation - a correlation between two variables (e.g., between the number of electric motors in the home and grades at school) that does not result from any direct relation between them (buying electric motors will not raise grades) but from their among strongly trended variables; (ii) the long-run relationships that may be lost by expressing the data in differences to achieve stationarity are captured through inclusion of lagged levels of the variables on the right-hand side right-hand side n → derecha right-hand side right n → rechte Seite f right-hand side n → lato destro ; (iii) the specification attempts to distinguish between short-run (first- differences) and long-run (lagged-levels) effects; and (iv) it provides a more general lag structure, and does not impose too specific of a structure on the model. Granger (1986) showed that a necessary condition to conclude that a long-term relationship exists is that the series must be cointegrated. For example, two time series, [x.sub.t], and [y.sub.t], both of which are individually non-stationary or 1(1). if there exists a non-zero constant [beta] such that [z.sub.t] = [x.sub.t] - [beta]'[y.sub.t] is a stationary or 1(0) process, then [x.sub.t] and [y.sub.t] are said to be cointegrated with a cointegrating parameter (1) Any value passed to a program by the user or by another program in order to customize the program for a particular purpose. A parameter may be anything; for example, a file name, a coordinate, a range of values, a money amount or a code of some kind. ('. This implies that the set of 1(1) variables (xt, yt) does not diverge diverge - If a series of approximations to some value get progressively further from it then the series is said to diverge. The reduction of some term under some evaluation strategy diverges if it does not reach a normal form after a finite number of reductions. over time since zt has no trend in mean. Combined with ECM, cointegration provides the tools to quantify Quantify - A performance analysis tool from Pure Software. both the long-run relationship and the short-run deviations from equilibrium. If cointegrating relationships exist among a set of 1(1) variables, then Granger Representation Theorem In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to a concrete structure. For example,
(1) (xt = -(1zt-1 + {lagged((xt, (yt)}(1t (2) (yt = -(2zt-1 + {lagged((xt, (yt)}(2t where zt = xt - ('yt is 1(0) and represents the error-correction term which displays the size of the preceding error derived from the long-run equation, (1 and (2 are white noises and either (1 or (2 (or both) is non-zero. In this setting, xt and [y.sub.t] are each function of distributed lags of first differences of [x.sub.t] and [y.sub.t] as well as the one period lag of the error-correction term. The error-corrections in equations (I) and (2) may be interpreted as the dis-equilibrium mechanism that forces the economy to the equilibrium [x.sub.t] = [beta][y.sub.t] in the long-run. The error-correction stock return equation in this study consists of two parts. The first is a long-run equilibrium stock return (cointegration equation) that may be written as follows; (3) LKS LKS Lakes LKS Landau-Kleffner Syndrome LKS Liver, Kidney, Spleen (organ transplant) LKS Lucky Stores, Inc. LKS Last Known Status (military tracking systems) LKS Linux Kernel Subsystem LKS Linux Kernel Summit [P.sub.t] = [[beta].sub.0] + [[beta].sub.1] LIRSt + [[beta].sub.2] IN[F.sub.t] + [[beta].sub.3] LEX[R.sub.t] + [[beta].sub.4] LIND[P.sub.t] + [e.sub.t] where KSP is the desired Kuala Lumpur stock prices, IRS An abbreviation for the Internal Revenue Service, a federal agency charged with the responsibility of administering and enforcing internal revenue laws. is the short term interest rate, INF is inflation, EXR is exchange rate, and INDP is industrial production. L is the natural log. Estimation of equation (3) using non-stationary data will lead to unreliable t-statistics, as the underlying time series would theoretically have infinite variances. Applied studies usually use the augmented Dickey and Fuller (ADF) and Phillips-Perron (PP) tests to check for stationarity in data series. Both ADF and PP tests on the variables in levels and first-differences to check for stationarity or unit roots. A desirable feature of the ADF test is that it allows for heteroskedasticity as well as serial correlation serial correlation The relationship that one event has to a series of past events. In technical analysis, serial correlation is used to test whether various chart formations are useful in projecting a security's future price movements. in the error terms, thus compensating for the misspecification of the dynamic structure of time series. ADF requires running a regression of the first difference of the series against the series lagged once, lagged difference terms, and a constant with a time trend such as (4) [DELTA][X.sub.t] = [[lambda].sub.0] + [[lambda].sub.1] [X.sub.t-1] + [[lambda].sub.2] + [SIGMA] [[lambda].sub.i] [DELTA][X.sub.t-i] + [[epsilon].sub.t] i = 1 .... k where [DELTA] is the first difference operator, [[epsilon].sub.t] is an error term, and k is the number of lagged first differenced term and is determined such that [[epsilon].sub.t] is approaching white noise. The [H.sub.0] hypothesis that [X.sub.t] is non-stationary time series translates into [H.sub.t]: [[lambda].sub.1] = 0. The output of the ADF test consists of the [iota](tau)-statistic on estimated coefficient coefficient /co·ef·fi·cient/ (ko?ah-fish´int) 1. an expression of the change or effect produced by variation in certain factors, or of the ratio between two different quantities. 2. of the lagged variable ([[lambda].sub.1]) and the critical values for the test of a zero coefficient. If the estimated ADF statistic statistic, n a value or number that describes a series of quantitative observations or measures; a value calculated from a sample. statistic a numerical value calculated from a number of observations in order to summarize them. is larger (in absolute) than its critical value then the null A character that is all 0 bits. Also written as "NUL," it is the first character in the ASCII and EBCDIC data codes. In hex, it displays and prints as 00; in decimal, it may appear as a single zero in a chart of codes, but displays and prints as a blank space. is rejected suggesting that the series is stationary (i.e., the [H.sub.0] is rejected if [[lambda].sub.1] is significantly negative). The choice of optimal lag-lengths used in the unit root tests is determined by applying Akaike (AIC AIC Association des Infermières Canadiennes. ) and Schwarz (SC) information criteria The introduction to this article provides insufficient context for those unfamiliar with the subject matter. Please help [ improve the introduction] to meet Wikipedia's layout standards. You can discuss the issue on the talk page. . An alternative test for a unit root was developed by PP. Like the ADF test, the PP test is a test of the hypothesis [rho] = 1 in the following equation: (5) [DELTA][X.sub.t] = [[alpha].sub.0] + [[alpha].sub.1]T + [rho] [X.sub.t-1] + [[??].sub.t] Unlike the ADF test, there are no lagged difference terms in PP test. Instead, the equation is estimated by OLS OLS Ordinary Least Squares OLS Online Library System OLS Ottawa Linux Symposium OLS Operation Lifeline Sudan OLS Operational Linescan System OLS Online Service OLS Organizational Leadership and Supervision OLS On Line Support OLS Online System and the t-statistic of coefficient [rho] is corrected for serial correlation in [[??].sub.t]. The next step is to test whether the time series concerned are cointegrated given that they are all I(1). In other words Adv. 1. in other words - otherwise stated; "in other words, we are broke" put differently , even if each individual time series is level-non-stationary, it has to be determined if the linear combination of these series as suggested by equation (3) is level-stationary. This requires the application of OLS techniques to the estimation of the cointegration regression. The residual from such cointegrating regression (equation 3) is then examined using the ADF test to see whether it is I(0). (6) [DELTA][e.sub.t] = -[rho][e.sub.t-1] + [SIGMA][[gamma].sub.t][DELTA][e.sub.t-1] + [e.sub.t] The rejection of the null hypothesis [rho]=0 requires that the estimated residual series be stationary. No intercept intercept in mathematical terms the points at which a curve cuts the two axes of a graph. or time trend is included in equation (6) since the et must have a zero mean and we do not expect it to have a deterministic 1. (probability) deterministic - Describes a system whose time evolution can be predicted exactly. Contrast probabilistic. 2. (algorithm) deterministic - Describes an algorithm in which the correct next step depends only on the current state. trend. If [e.sub.t], is 1(0), then it can be concluded that the stock return equation is cointegrated and has a long-run cointegrating relationship. Intuitively, actual stock prices do not always equal what investors wish to hold on the basis of long-run factors specified in equation (3). Therefore, the second part of our stock price model is a dynamic error-correction equation (ECM) of the form (7) [MATHEMATICAL EXPRESSION A group of characters or symbols representing a quantity or an operation. See arithmetic expression. NOT REPRODUCIBLE IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ] where AFC (1) (Application Foundation Classes) A class library from Microsoft that provides an application framework and graphics, graphical user interface (GUI) and multimedia routines for Java programmers. is a dummy variable for Asian financial crisis, [[epsilon].sub.t] is the short-run random disturbance term, [DELTA] refers to the first-difference operator, Ji represents the number of lags, and [e.sub.t-1] is the lagged value of the long-run random disturbance term. Equation (7) yields the short-run determinants of stock returns, which include among others, current and past changes in the macroeconomic variables and the lagged value of the residual from long-run stock price function from equation (3), The parameter [lambda] which appears with [e.sub.t-1] in equation (7) is the error-correction coefficient. The presence of [e.sub.t-i] reflects the presumption A conclusion made as to the existence or nonexistence of a fact that must be drawn from other evidence that is admitted and proven to be true. A Rule of Law. If certain facts are established, a judge or jury must assume another fact that the law recognizes as a logical that actual stock price does not always equal what the investor expects on the basis of long-run macroeconomic factors. In the short-run, the stock price attempts to correct any short-run disequilibrium disequilibrium /dis·equi·lib·ri·um/ (dis-e?kwi-lib´re-um) dysequilibrium. linkage disequilibrium and adjusts to its long-run equilibrium. The parameter [lambda] measures the role such disequilibrium play in explaining the short-run movements in stock price (speed of adjustment) and it is expected to be negative. The Engle-Granger (1987) procedure has been criticized on the grounds of the small-sample bias present in the ordinary least square (OLS) estimation of the cointegrating equation. This bias carries over into the prediction of the dis-equilibrium errors and hence into the second stage estimates of the short-run parameters. Therefore, Benerjee et al. (1986) suggest that it may be preferable to carry out the estimation of long- and short-run parameters in a single step. Our study will formulate the ECM using Hendry's (-1986) general-to-specific approach which starts with a general framework and test down to a suitably final model. Both long- and short-run elasticities are estimated together. Hendry's (1986) approach allows the restrictions implied by the cointegrating regression to be relaxed. That is the [e.sub.t-1] in equation (7) is replaced by the lagged levels of the variables in equation (3), so that the short- and long-run parameters are jointly estimated. Estimates of the level variables then reveal the long-run effects of the repressors. Substitution of equation (3) into equation (7) yields a combined ECM equation. (8) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] where [[delta].sub.0] = [[PSI].sub.0] - [[beta].sub.0][lambda] and [[PHI phi n. Symbol The 21st letter of the Greek alphabet.PHI, n See health information, protected. ].sub.1] = [lambda] Equation (8) can be estimated using consistent estimation procedures, and all parameters of equation (3) and (7) may be recovered from those of equation (8). For example, the error correction coefficient [lambda] is [[PHI].sub.1] the long-term interest rate elasticity [[PHI].sub.2]/[[PHI].sub.1], long term inflation elasticity is [[PHI].sub.3]/[[PHI].sub.1], the long-term exchange rate elasticity is [[PHI].sub.4]/[[PHI].sub.1] and the long-term industrial production elasticity is [[PHI].sub.5]/[[PHI].sub.1]. Although InKS[P.sub.t-1], In IR[S.sub.t-1], InIN[F.sub.t-1], In EX[R.sub.t-1] and In IND[P.sub.t-1] have unit root, nonstationary variables, Thomas (1997) postulates OLS estimates can still be applied since assuming cointegration, there is a linear combination of variables that is I(0). The existence of such a linear combination can be checked by testing the residuals from equation (8) for stationarity. There is evidence that small-sample properties of estimates obtained in this way are better than those of the two-stage Engle-Granger (1987) estimates. The general-to-specific approach has the advantage that if the general model is rigorously tested for misspecification, the possibility of any dynamic misspecification is reduced in the final model (Thomas, 1997). Certain tests of misspecification should then be performed to assess the reliability of the final 'best' models. We remove variables or lags from equation (8) using linear restriction imposed and goodness-of-fit tests until a reliable 'best' model is achieved. 4. EMPIRICAL RESULTS ECM and cointegration analysis involves four steps. First, the order of integration for each of the economic variables of our study must be determined. Second, cointegrating regressions should be estimated with OLS method using the variables with the same order of integration. Third is the test for unit root of the residuals of the cointegrating regressions. The fourth step is to construct the error-correction models. 4.1. Unit Root Tests In order to test for the presence of stochastic By guesswork; by chance; using or containing random values. stochastic - probabilistic non-stationarity (unit root) in the data, we first investigate the integration order of individual series using ADF and PP tests with drift and trend. Table 2 provides the statistical results for both tests in levels and first difference series along with Mackinnon critical values. Statistical results do not reject the null hypothesis of unit root for level series of LINDP, LEXR, LIRS LIRS Lutheran Immigration and Refugee Service LIRS Low Inter-Reference Recency Set , LKSP, but reject the hypothesis in the case of INF. Thus both ADF and PP tests confirm unit root in level series in all cases except for inflation and stationary series in first differences. Thus the results show that all macroeconomic variables (except INF) under study are integrated of order one. 4.2 Error Correction Model The objective of the general-to-specific model is to begin with a framework that builds a 'nested' model embracing a series of simpler models. These models represent all alternative hypotheses that require consideration. Results of the ECM are presented in table 2. We first estimated the model with 4 months lags for each variable and subsequently removed lags that were insignificant. It is important that the models which are eventually selected based on the general-to-specific approach must be correctly specified in that the residuals should be white noise. We reject the hypothesis of autocorrelated error using higher order serial correlation (up to 4 lags) Lagrangian multiplier multiplier In economics, a numerical coefficient showing the effect of a change in one economic variable on another. One macroeconomic multiplier, the autonomous expenditures multiplier, relates the impact of a change in total national investment on the nation's total (LM) test to examine if all coefficients of AR(4) for the residuals are equal to zero. The hypothesis of heteroscedasticity examined by ARCH (autoregressive conditional heteroscedasticity) test is also not supported, Jarque and Bera (1980) tests shows that all residuals in the stock returns equations are normally distributed. Regression specification test (RESET) of Ramsey (1969) for misspecification due to incorrect functional form and omitted variables bias is used, and the test results suggest that the models do not suffer from any misspecification. The null hypothesis of non-cointegration is also tested because Granger (1986) theorem theorem, in mathematics and logic, statement in words or symbols that can be established by means of deductive logic; it differs from an axiom in that a proof is required for its acceptance. suggests that cointegration is not only a necessary ut also a sufficient condition for an error correction representation to exist. The estimated ADF statistics as presented in table 3 rejects the null-hypothesis that the residuals from non-stationary series. We therefore conclude that residuals are stationary, indicating cointegrating relationships between the stock returns and the other economic variables. Estimated result supports the hypothesis of a negative relationship between interest rate and the stock returns. This is consistent with the findings by Asprem (1989), Fama (1990), Bulmash and Trivoli (1991), and Maysami and Hui (2001) that follows the theory of the financial valuation model. An increase in interest rate increases the cost of borrowings to the firms and the investors expect a lower profitability. There is a decrease in demand for the firm's shares and as a consequence a decline in stock prices. On the other hand, a positive relationship between inflation and the stock returns is detected. This is in support of the Fisher hypothesis The Fisher hypothesis is the proposition by Irving Fisher that the real interest rate is independent of monetary measures, especially the nominal interest rate. The Fisher equation is
The ringgit (Malaysian dollar) and stock returns are inversely in·verse adj. 1. Reversed in order, nature, or effect. 2. Mathematics Of or relating to an inverse or an inverse function. 3. Archaic Turned upside down; inverted. n. 1. related in the short-run. The depreciation of the ringgit against the U.S dollar would make Malaysian Exports more competitive compared to their close substitutes produced in the U.S. The potential benefits of exports in firms' cash flows may be reflected in higher stock returns. That implies the economic exposure is the dominant force in exchange rate-stock return relationship. In the long-run, however, the relationship is positive. A plausible justification is that the exchange rate is a reflection of the economy's health, a weaker ringgit could mean a troubled economy and future decline in real activities. The depreciation of the ringgit value during the financial crisis after which the Kuala Lumpur stock market collapsed validates this hypothesis. Moreover, foreigners Foreigners alienage the condition of being an alien. androlepsy Law. the seizure of foreign subjects to enforce a claim for justice or other right against their nation. gypsyologist, gipsyologist Rare. might loss confidence to invest in Kuala Lumpur equity market should they expect the depreciation of the ringgit value to continue in the long-run. A statistically significant positive relationship is found between industrial production and the Kuala Lumpur stock returns both in the short run and in the long-run. Fama (1990) argued that stock price reflects expectations of earnings, dividends, interest rates and future activity and the information about future real activity may be reflected in the stock price before it occurs. Moreover, stock returns will have wealth effect which in turn affect the level of demand for consumption and investment goods In economics, investment goods are the plant, machinery, and equipment that enable production, and are the main input into new installed capital. External sources The error correction term indicates the speed of adjustment towards the long-rum equilibrium, and is found to be statistically significantly negative in the stock return. The larger the value of the error-correction term, the faster the disequilibria is adjusted in the short -run so that long-run equilibrium relationship holds. The speed of adjustment is 0.533, implying that about 53 percent of the previous deviation between the actual and the desired stock prices are corrected in each month. Finally, the Asian financial crisis (AFC) is found to have statistically negative effect on the stock returns. 5. CONCLUSIONS The short-run (dynamic) and the long-run (equilibrium) relationships between stock returns of Kuala Lumpur stock market and the short term interest rate, inflation, exchange rate, industrial productivity and a dummy variable to reflect the Asian financial crisis were investigated in this study using the monthly data from January 1990 to June 2002. Applying Hendry's (1986) general-to-specific approach to error-correction model, our statistical results suggest the existence of stable long-run (cointegrating) relationships between macroeconomic variables and the stock returns. All macroeconomic variables' affect the stock returns are consistent with the hypothesized signs and are also found to be statistically significant at the traditional level of significance. Granger (1986) argued that the existence of cointegration relationship and the fact that asset prices might be predicted would mean that the stock market is not entirely efficient. Defining market efficiency as the absence of arbitrage arbitrage: see foreign exchange. arbitrage Business operation involving the purchase of foreign currency, gold, financial securities, or commodities in one market and their almost simultaneous sale in another market, in order to profit from price opportunities, Dwyer and Wallace (1992), however, stressed that cointegration does not necessarily violate the notion of information efficiency. The short-run affect of the variables with some lags are also found to be statistically significant with expected signs. The error-correction model is, however, known to be sensitive to the choice of lags and the dimensions. Due to a limited number of observations and to take into account the impact of the financial crisis, our study uses four macroeconomic variables and one dummy variable. Future studies may consider other time series data.
TABLE 1: Definitions of Variables and Time Series Transformations
Variables: Definition of Variables:
LKSP: Natural logarithm of the Kuala Lumpur composite Index
(KLCI). KLCI is a broad-based capitalization weighted
index of 100 stocks designed to measure the performance
of the Kuala Lumpur Stock Exchange. The Index has a base
value of 95.83 as of January 3, 1977.
LINDP: Natural logarithm of the month-end industrial production
index. This index is used as a proxy of the level of
economic activity in the country and figures are
seasonally adjusted.
LIRS: Natural logarithm of the month-end interbank offer rate.
LCPI: Natural logarithm of the month-end Consumer Price Index.
LEXR: Natural logarithm of the month-end the Malaysian ringgit
per US dollar.
Definition of
First Difference Transformation: Transformation:
[DELTA]KSP = KS[P.sub.t] - KS[P.sub.t-1] Monthly return of the
KSP index.
[DELTA]IRS = IR[S.sub.t] - IR[S.sub.t-1] Monthly change of the
interbank rate.
INF = CP[I.sub.t] - CP[I.sub.t-1] Monthly realized
inflation rate.
[DELTA]EXR = EX[R.sub.t] - EX[R.sub.t-1] Monthly change in
exchange rate.
[DELTA]INDP = IND[P.sub.t] - IND[P.sub.t-1] Monthly growth rate of
industrial production.
TABLE 2: Unit Root Tests
Variable ADF Mackinon ADF Mackinon
Coefficients critical Coefficients critical
in levels value in first value
difference
[[tau].sub. [[tau]. [[tau].sub. [[tau].
[mu] sub.t] [mu] sub.t]
LINDP -2.47 -3.146 -5.39 ** -4.05
LKSP -1.51 -3.44 -5.77 ** -4.03
LIRS -1.63 -3.47 -4.17 ** -4.08
LEXR -1.97 -3.45 -3.69 * -3.46
INF -3.98 * -3.48 -- --
Variable Phillips- Mackinnon Phillips- Mackinnon
Perron critical Perron critical
Coefficients value Coefficients value
in levels in First
Difference
[[tau].sub. [[tau]. [[tau].sub. [[tau].
[mu] sub.t] [mu] sub.t]
LINDP -2.83 -3.45 -11.51 ** -4.054
LKSP -1.81 -3.44 -10.59 ** -4.03
LIRS -1.89 -3.47 -6.41 ** -4.08
LEXR -1.90 -3.45 -7.78 ** -4.05
INF -6.92 ** -4.09 -- --
Note: **(*) indicate rejection of null hypothesis of unit root
(non-stationary) at the 1% & (5%) level of significance. Mackinnon
critical value for rejection of hypothesis of a unit root has been
applied at the 1% & 5% level. Optimum lag structures are determined
by the Akaike and Schwartz information criteria.
TABLE 3. Estimation of Error Correction Model with
[DELTA]KS[P.sub.t] as the dependent variable
Regressors Estimated t-ratios
parameters
Constant 0.009 (0.710)
[DELTA]KS[P.sub.t-1] 0.217 (1.224)
[DELTA]KS[P.sub.t-2] 0.375 (2.122) *
[DELTA]KS[P.sub.t-3] 0.025 (0.147)
[DELTA]KS[P.sub.t-4] 0.330 (1.920)
[DELTA]IR[S.sub.t] -0.035 (-2.279) *
[DELTA]IR[S.sub.t-1] 0.475 (-2.142) *
[DELTA]IR[S.sub.t-2] -0.012 (-0.559)
[DELTA]IR[S.sub.t-3] 0.086 (-0.389)
[DELTA]IR[S.sub.t-4] -0.667 (-1.640)
[DELTA]IN[F.sub.t] 0.286 (0.440)
[DELTA]IN[F.sub.t-1] 0.131 (1.695) *
[DELTA]IN[F.sub.t-2] 0.147 (1.967)
[DELTA]IN[F.sub.t-3] 0.080 (1.262)
[DELTA]IN[F.sub.t-4] 0.079 (1.430)
[DELTA]EX[R.sub.t] -0.060 (-0.159)
[DELTA]EX[R.sub.t-1] -0.309 (-2.074) *
[DELTA]EX[R.sub.t-2] -0.243 (-1.419)
[DELTA]EX[R.sub.t-3] -0.201 (-1.321)
[DELTA]EX[R.sub.t-4] -0.142 (-.916)
[DELTA]IND[P.sub.t] 0.035 (2.766) *
[DELTA]IND[P.sub.t-1] 0.048 (2.080) *
[DELTA]IND[P.sub.t-2] 0.010 (3.061) **
[DELTA]IND[P.sub.t-3] 0.088 (2.880) **
[DELTA]IND[P.sub.t-4] 0.004 (-0.0012)
[lambda][e.sub.t-1](E[C.sub.1-1] -0.533 --
AFC (Dummy) -0.179 (-2.01) *
KS[P.sub.t-1] -0.532 (-0.239)
IR[S.sub.t-1] -0.076 (-2.089) *
EX[R.sub.t-1] 1.055 (4.750) **
IN[F.sub.t-1] -0.471 (-3.663) **
IND[P.sub.t-1] -0.0320 (-5.085) **
[e.sub.t] = -2.302 [e.sub.t-1] + 0.620 [DELTA][e.sub.t-1]
(-4.239) ** (2.390) *
ADF = (-6.312) ** [R.sup.2](adj) = 0.549 LM = (2.97) * RESET = 0.539
ARCH = 0.335 J-B = (1.029) * F = (2.458) * Log Likehood = 78.423
AIC = -1.709 SIC = 0.979
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"The Fiscal and Monetary Linkage linkage In mechanical engineering, a system of solid, usually metallic, links (bars) connected to two or more other links by pin joints (hinges), sliding joints, or ball-and-socket joints to form a closed chain or a series of closed chains. Between Stock Returns and Inflation," The Journal of Finance 38(1), 1983, 1-33. Gibert, C. L. "Professor Hendry's Econometric Methodology," Oxford Bulletin of Economics and Statistics 48, 1986, 283-303. Gjerde, O. and F, Sattem. "Causal Relations among Stock Returns and Macroeconomic Variables in a Small, Open Economy," Journal of International Financial Markets, Institution and Money 9,1999, 61-74. Granger, C. W. J. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulleting of Economics and Statistics 48, 1986, 213-228. Hendry, D. F. "Econometric Modeling Econometric models are used by economists to find standard relationships among aspects of the macroeconomy and use those relationships to predict the effects of certain events (like government policies) on inflation, unemployment, growth, etc. with Cointegrated Variables: An Overview," Oxford Bulletin of Economics and Statistics 48(3), 1986,201-212. Jarque C. M. and A. K. Bera "Efficient Tests for Normality normality, in chemistry: see concentration. , Homoskedasticity, and Serial Independence of Regression Residuals," Economic Letters 6, 1980, 255-259. Johansen, S. and K. Juselius. "Maximum Likelihood Estimation and Inference (logic) inference - The logical process by which new facts are derived from known facts by the application of inference rules. See also symbolic inference, type inference. on Co integration with Application to the Demand of Money," Oxford Bulletin of Economics and Statistics 52, 1990, 169-210. Kaul, G. 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"Economic Forces and Stock Returns: A General-to-Specific ECM Analysis of the Japanese and South Korean Markets," International Quarterly Journal of Finance, Vol. 1, No.1, 2001, 83-99. Mukherjee, T.K. and A. Naka. "Dynamic Relations Between Macroeconomic Variables and the Japanese Stock Market: An Application of a Vector Error Correction Model," The Journal of Financial Research 18(2), 1995, 223-237. Nelson, C. R. and Posser C. I. "Trends and Random Walks in Macroeconomic Time Series," Journal of Monetary Economics 10, 1982, 139-62. Peiro, A. "Stock Prices, Production and Interest Rates: Comparison of three European Countries with the USA," Empirical Economics 21, 1996, 221-234. Poon, S. and S. J. Taylor. "Macroeconomic Factors and the UK Stock Market," Journal of Business Finance and Accounting 18, 1991, 619-635. Ramsey, J. B. "Tests for Specification Error in Classical Least Squares Regression Analysis," Journal of the Royal Statistical Society The Journal of the Royal Statistical Society is a series of three peer-reviewed statistics journals published by Blackwell Publishing for the London-based Royal Statistical Society. 31 (2), 1969, 250-271. Schwert, G. W. "The Adjustment of Stock Prices to Information about Inflation," The Journal of Finance 36(1), 1981,. 15-29. Dr. Mazhar M. Islam earned his M.A & Ph.D at Vanderbilt University Vanderbilt University, at Nashville, Tenn.; coeducational; chartered 1872 as Central Univ. of Methodist Episcopal Church, founded and renamed 1873, opened 1875 through a gift from Cornelius Vanderbilt. Until 1914 it operated under the auspices of the Methodist Church. in 1987. Currently he is an associate professor of finance at Sultan Qaboos University Sultan Qaboos University, located in Muscat, Oman, , is the only public university in the Sultanate of Oman. Named after Qaboos bin Sa’id Al ‘Bu Sa’id the Sultan of Oman, the university opened its doors in 1986. , Oman. He has held faculty positions at the Texas A&M University system and the SUNY SUNY - State University of New York system. Dr. Islam has served several years in the program committee of the AIB-US Southwest Chapter. |
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