Friday, January 31, 2020
Everybody Needs Somebody Essay Example for Free
Everybody Needs Somebody Essay Many people vacillate to commit themselves to marriage because of the responsibilities involved, but what does the word ââ¬Å"marriageâ⬠, that so many desist from means. Itââ¬â¢s the state of being united; body, soul and mind to a person of the opposite sex as husband or wife consensual and contractual relationship recognized by both the Lord and the law. Moreover, pledging your allegiance, promising to be thereâ⬠for better or for worse, in sickness and in health..till death do us pathâ⬠. A lot of individuals make the decision never to marry; there may be certain circumstances why they may feel that way. For example they may have had awful relationships in their past and of the opinion that their significant other will never be found or plainly the bulk just donââ¬â¢t want that type of commitment. Marriage has its advantages by the bountiful, so if you are in love and sure that you want to subsist the rest of your life with him/her, then unquestionably go ahead and walk down the aisle. I confidently disagree that being single is far more advantageous than being married. Marriage offers companionship. In a healthy marriage, you are never alone. Your spouse will always be there to lend a sympathetic ear. Sometimes, of course, your spouse might not be ââ¬Å"actuallyâ⬠listening to you but it is better to talk to someone than being alone. Additionally, itââ¬â¢s satisfying to have someone you trust completely and love unconditionally to have stimulating conversation with. For instance to discuss ideas, major financial matters and practice your humor and simply want o be consoled at the end of the day. In the period 2008, research done in the USA showed that expressing your feeling, merely talking to your spouse and letting them know how you feel, reduces your chance of divorce, dishonesty and senseless arguments. As well, companionship offers support and can be particularly important at times of misfortune. Thus, the companionship that marriage offer beats being single any day. Marriage opens the gates to a rich social life. Basically by having a partner with you, you can have a social life that is not so readily or easily available for a single person. You can visit romantic places together or holiday together. You can spend meaningful quality time with each other also relaxing without any interruptions for a single person; it may be difficult because usually social life is geared around ââ¬Å"couplesâ⬠. Hence a single person can often be left out or sometimes just not invited. Although it may be true at times, that having children might seem to encumber your social life but really it brings a pulsating change in your social life also much of that life involves being with your children. Marriage puts a stamp of tolerability in society. Research reveals that married men/women have longer lifespan compared to single individuals. This can result in three points 1. Marriage stabilizers men and women this is so because, the need for multiple partners arenââ¬â¢t considered necessary when you are married besides you can be confident that your trustworthy spouse isnââ¬â¢t going to be adulterous 2. In the case of reducing stress, take for example raising a child, although many single parents do raise children successfully. It seems the stress is less when the tasks are shared with a partner.3. The point of being pleased. Many men/women get satisfied sexually by being married. This is so because by being intimate with someone you pledged your life to and love, you are contented both physically and mentally. Consequently, by having sexual relations when single your mate is random. This type of intimacy is fabricated and has no symbolic meaning. At such times having a marriage has its rewards over being single. As stated above marriage has its advantages, the ones mentioned are just a few to start with. Each marriage is of course different, but the connection that is shared among two married persons who have unexplained love, intimacy and forever commitment is extremely sacred. Being married, said by many people is about accepting a person for who they are, faults include. To be so dedicated and honorable that together you can overcome any type of ordeal life throws also learning to grow from those hardships. Itââ¬â¢s about making sacrifices and putting your complete trust in your spouse. Knowing, they would refrain from temptation and be honest when it is needed. There are so many types of definitions that could be used to describe what marriage is nevertheless the one that really carries the most sentimental value is the one shared among married couples. It is forlorn that single people choose to remain unmarried, they may not the joy marriage brings to a person, but marriage is a privilege so why not make use of it.
Thursday, January 23, 2020
The Art of Ancient Rome :: Essays Papers
The Art of Ancient Rome The Roman sculptures and architectures were greatly influenced by the Greeks and also some effects by the Etruscans. Romans were influenced mostly by Greek art in many ways. It was because the variety of paintings, sculptures, and the different style of early architectures presented in every period of Roman history. They had pasted and copied many art works from the early Greek to build up their empire. Although the Etruscans had contributed and influenced the Roman in some ways such as educated them to build fortifications, bridges, drainage systems, and aqueducts but their underst6anding on both the art and language is still limited to the Greek. The differences between the art of Roman and other civilizations were that every Roman arts whether were sculptures or architectures had served some purposes and played certain roles in the daily lives of Roman citizens. For example, Romans love to build small concrete building with the vaulting systems. The small building which was called the bay (Pg. 105). This unique system helps to construct much fine and greatest architecture for Romans such as the Sanctuary of Fortuna Primigenia, the Colosseum and the Basilica of Constantine. The Pantheon of Rome was also another striking example of fine Roman structure. These structures were often used for religion matters, public meetings and entertainment for every Roman citizen. If any Roman citizens wanted to have some fun, they would attend the Colosseum and watched the gladiatorial game or a series of chariot race. If some other citizens wanted to seek God or certain deity, they would likely to go to the Sanctuary of Fortuna Prim igenia. In fact, architectures were significant in the lives of Roman citizens. On the other hand, the Roman sculptures were also significant. They displayed the heritages and traditions for every Romans and played an important role in the history of Rome. The Art of Ancient Rome :: Essays Papers The Art of Ancient Rome The Roman sculptures and architectures were greatly influenced by the Greeks and also some effects by the Etruscans. Romans were influenced mostly by Greek art in many ways. It was because the variety of paintings, sculptures, and the different style of early architectures presented in every period of Roman history. They had pasted and copied many art works from the early Greek to build up their empire. Although the Etruscans had contributed and influenced the Roman in some ways such as educated them to build fortifications, bridges, drainage systems, and aqueducts but their underst6anding on both the art and language is still limited to the Greek. The differences between the art of Roman and other civilizations were that every Roman arts whether were sculptures or architectures had served some purposes and played certain roles in the daily lives of Roman citizens. For example, Romans love to build small concrete building with the vaulting systems. The small building which was called the bay (Pg. 105). This unique system helps to construct much fine and greatest architecture for Romans such as the Sanctuary of Fortuna Primigenia, the Colosseum and the Basilica of Constantine. The Pantheon of Rome was also another striking example of fine Roman structure. These structures were often used for religion matters, public meetings and entertainment for every Roman citizen. If any Roman citizens wanted to have some fun, they would attend the Colosseum and watched the gladiatorial game or a series of chariot race. If some other citizens wanted to seek God or certain deity, they would likely to go to the Sanctuary of Fortuna Prim igenia. In fact, architectures were significant in the lives of Roman citizens. On the other hand, the Roman sculptures were also significant. They displayed the heritages and traditions for every Romans and played an important role in the history of Rome.
Wednesday, January 15, 2020
Nikââ¬â¢s CATIA V5 Tips and Techniques
The following is an archive of Nikââ¬â¢s CATIA V5 Tips and Techniques. To unleash the full functionality of CATIA V5, attend an AscendBridge CATIA Course or request a one day mentoring at your site. Call 1-888-326-TEAM or email [emailà protected] com #1 Tips and Technique Q: Do you know how to convert a 2D drawing view (in dwg format) into a 3D Part using Advance Part Modeling options of CATIA V5? A: You Can use any 2D view with various drawing objects (even in dwg format) to create a 3D Solid. Copy the 2D view from CATIA drafting screen into Sketcher as sketch. As the sketch contains multiple Profiles you can not make a solid feature by simply selecting the given sketch, as a error prompts: Several Open Profiles If you select Yes the Feature definition box appears. Right click in blue area in front of ââ¬ËProfile/Surface Selection' Click on ââ¬ËGo to Profile Definitionââ¬â¢ in Contextual menu Profile Definition Dialog Box opens Select the Part of Sketch you want to use for that feature. You can go on creating other features using same sketch but different sub profiles to make the final 3D Part. This method also helps in reducing the number of sketches in your Part history tree while modeling complex solids and better management of features using sketches. AscendBridge Solutions Inc. 1-888-326-TEAM www. ascendbridge. com Nikââ¬â¢s CATIA V5 Tips and Techniques #2 Tip and Technique Q: Did you know that designers can key in values in combination of units or in formulas in CATIA V5 dialog boxes? A: You can key in values in any CATIA V5 dialog box in the following formats irrespective of the Standard set units. For example if the length Units are set in mm and you are keying in the value for PAD length (as shown in Fig-1A) You can key in 10in and the PAD will measure 254mm (as shown in Fig-1B) AscendBridge Solutions Inc. 1-888-326-TEAM www. ascendbridge. com Nikââ¬â¢s CATIA V5 Tips and Techniques Also try to key in ((5in*6)/4)+9mm+500micron and click Preview the PAD will measure 200mm. The software automatically computes the entered value (even in the form of complex formula with combined units) equal to the units set in the CATPart and generate features with correct computed measurements. AscendBridge Solutions Inc. 1-888-326-TEAM www. ascendbridge. com Nikââ¬â¢s CATIA V5 Tips and Techniques 3 Tip and Technique Q: Do you know how to create a Hole with reference to center of another Hole in a Block or Plate using hole feature in CATIA V5? A: You can create a Hole with reference to center of another Hole in a Block or Plate using HOLE feature in CATIA V5 by following this procedure: â⬠¢ â⬠¢ â⬠¢ HOLE Command Select the face of Block / Plate Select the Sketcher Icon â⬠¢ â⬠¢ Rotat e the view Create two constraints Horizontal Measure & Vertical Measure between Axis of previous hole and the Center Point of new Hole â⬠¢ â⬠¢ Exit the Sketcher Work-bench and OK in Hole Dialog-box. New hole located from center of previous hole is created. AscendBridge Solutions Inc. 1-888-326-TEAM www. ascendbridge. com Nikââ¬â¢s CATIA V5 Tips and Techniques #4 Tip and Technique Q: Do you know how to create multiple corners on a complex Profile, of equal radius and related to each other in CATIA V5 Sketcher? A: You can create multiple corners on selected points on a Profile in one step by following this procedure: â⬠¢ Draw a required complex Profile in CATIA V5 Sketcher (as shown in Fig-1) â⬠¢ Multi-select all the points on the Profile where the corners are required and select the Corner icon. Key in Radius value (as shown in Fig-2) The corners are created at all the selected points on the profile with given radius. (as shown in Fig-3) â⬠¢ For modifying the radius of all the corners in one step just double click on first selected corner (without f(x) symbol) and key in the new value all the corners get updated to new value. The all corners created on the profile with this method are related to the first selected corner with a formula. But if required the formula can be modified or deleted in order to change the radius of any corner independent of the others. AscendBridge Solutions Inc. 1-888-326-TEAM www. ascendbridge. com
Tuesday, January 7, 2020
How The Stock Market Contributes To Economic Growth - Free Essay Example
Sample details Pages: 21 Words: 6305 Downloads: 7 Date added: 2017/06/26 Category Statistics Essay Did you like this example? Introduction The debate of whether stock market is associated with economic growth or the stock market can be served as the economic indicator to predict future. According to many economists stock market can be a reason for the future recession if there is a huge decrease in the stock price or vice versa. However, there are evidence of controversial issue about the ability of prediction from the stock market is not reliable if there is a situation like 1987 stock market crashed followed by the economic recession and 1997 financial crises. Donââ¬â¢t waste time! Our writers will create an original "How The Stock Market Contributes To Economic Growth" essay for you Create order (Stock market and economic growth in Malaysia: causality test). The aim of the study is to find the relation between the stock market performance and the real economic activity in case of four countries The UK, The USA, Malaysia and Japan. With my limited knowledge I have tried to find out the role of financial development in stimulating economic growth. A lot of economists have different view about stock market development and the economic growth. If we focus on some related literature published on this topic one question arises: Is economic development is affected by stock market development? Even though there are lots of debate on some are saying that stock market can help the economy but the effect of stock market in the economy especially in the economy is very little. Ross Levine suggested in his paper published in 1998 that recent evidence suggested stock market can really give a boom to economic growth. (REFERENCE) It is not really possible to measure the growth by simply looking at the ups and down in the stock market indicator and by looking at the rates of growth in GDP. A lot of things can cause in the growth of stock market like changes in the banking system, foreign participation in the in the financial market may participate strongly. Apparently it seems that these developments can cause development of stock market followed by the good economic growth. But to check the accuracy one required to follow an appropriate method which would meaningfully measure whether stock price is really effecting the economic growth or not? In my work I have tried to find out the co integrating relationship between Stock price and GDP and tried to check if there is a long run and short run relationship between the stock price and GDP. The method used for the studies is Engle Granger co integration method. To do this I have used ADF (Augmented Dickey Fuller Test) to check for the stationary behaviour of the variables and then I have performed the Engle Granger Engle Granger co integration method followed by residual based error correction model. To check for the short run relationship I have used 2nd stage Engle Granger co integration method. To check the causal effect of the four countries stock market and economic growth I used Granger Causality Method. In this paper I have reviewed some studies of scholars which I have discussed on the literature review part. This paper contains five parts Part two is about the literature based on the past wok of scholars. Part Three discussed about the Data. Part four is about the methodology, Results are discussed on part five and part six is all about the summary and conclusion of the whole study. In my work I have founded there is no long run relationship between stock market and economic growth in all four countries. In addition there is no causal relation between stock index yield and the national economy growth rate. The empirical results of the thesis concludes that the possibility of seemingly abnormal relationship between the stock index and national economy of these for countries. Literature Review: Stock market contributes to economic growth in different ways either directly or indirectly. The functions of stock market are savings mobilization, Liquidity creation, and Risk diversification, keep control on disintermediation, information gaining and enhanced incentive for corporate control. The relationship between stock market and economic growth has become an issue of extensive analysis. There is always a question whether the stock market directly influence economic growth. A lot of research and results shows that there is a strong relationship between stock market and economic growth. Evidence on whether financial development causes growth help to reconcile these views. If we go back to the study of Schumpeter (1912) his studies emphasizes the positive influence on the development of a countrys financial sector on the level and the potential risk of losses caused by the adverse selection and moral hazard or transaction costs are argued by him how necessary the rate of growth argues that financial sectors provides of reallocating capital to minimize the potential losses. Empirical evidence from king and Levine (1983) show that the level of financial intermediation is good predictor of long run rates of growth, capital accumulation and productivity. Enhanced liquidity of financial market leads to financial development and investors can easily diversify their risk by creating their portfolio in different investments with higher investment. Demiurgic and Maksimovic (1996) have found positive causal effects of financial development on economic growth in line with the à ¢Ã¢â ¬ÃÅ"supply leading hypothesis. According to his studies countries with better financial system has a smooth functioning stock market tend to grow much faster as they have access to much needed funds for financially constrained economic enterprises by the large efficient banks. Related research was done for the past three decades focusing on the role of financial development in stimulating economic growth they never considered about the stock market. An empirical study by Ming Men and Rui on Stock market index and economic growth in China suggest that possible reason of apparent abnormal relationship between the stock Index and national economy in china. Apparent abnormal relationship may be because of the following reason inconsistency of Chinese GDP with the structure of its stock market, role played by private sector in growth of GDP and disequilibrium of finance structure etc. The study was done using the cointegration method and Granger causality test, the overall finding of the study is Chinese finance market is not playing an important role in economic development. (Men M 2006 China paper). An article by Indrani Chakraborti based on the case of India presented in a seminar in kolkata in October, 2006 provides some information about the existence of long run stable relationship between stosk market capitalization, bank credit and growth rate of real GDP. She used the concept of the granger causality after using both the Engle-Granger and Johansen technique. In her study she found GDP is co-integrated with financial depth, Volatility in the stock market and GDP growth is co integrated with all the findings the paper explain that the in an overall sense, economic growth is the reson for financial development in India.(Chakraboty Indrani). Few writers from Malaysia found that stock market does help to predict future economy. Stock market is associated with economic growth play as a source for new private capital. Causal relationship between the stock market and economic growth which was done by using the formal test for causality by C.J. Granger and yearly Malaysia data for the period 1977-2006. The result from the study explain that future prediction is possible by stock market. A study focused on the relationship between stock market performance and real economic activity in Turkey. The study shows existence of a long run relationship between real economic activity and stock pricesà ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦Ã ¢Ã¢â ¬Ã ¦ Result from the study pointed out that economic activity increases after a shock in stock prices and then declines in Turkish market from the second quarter and a unitary (Turkish paper) An international time series analysis from 1980-1990 by By RAGHURAM G. RAJAN AND LUIGI ZINGALES shows some evidence of the relation between stock market and economic growth. This paper describes whether economic growth is facilitated by financial development. He found that financial development has strong effect on economic growth. (Rajan and Zingales, 1998) The study of Ross LEVINE AND SARA ZERVOS on finding out the long run relationship between stock market and bank suggest a positive effect both the variables has positive effect on economic growth. International integration and volatility is not properly effected by capital stock market. And private save saving rates are not at all affected by these financial indicators. (Levine and Zervos 1998) Belgium Stock market study with economic development shows the positive long run relationship between both the variables. In case of Belgium the evidences are quiet strong that Economic growth is caused by the development of the stock market. It is more focused between the period 1873 and 1935, basically this period is considered as the period of rapid industrialization in Belgium. The importance of the stock market in Belgium is more pronounced after liberalization of the stock market in 1867-1873. The time varying nature of the link between stock market development and economic growth is explained by the institutional change in the stock exchange. They also tried to find out the relationship to the universal banking system. Before 1873 the economic growth was based on the banking system and after 1873 stock market took the place. (Stock Market Development and economic growth in Belgium, Stijin Van Nieuwerburg, Ludo Cuyvers, Frans Buelens July 5, 2005) Senior economist of the World Banks Policy research department Ross Levine has discussed about Stock market in his paper Stock Markets: A Spur to economic growth on the impact of development. Less risky investments are possible in liquid equity market and it attracts the savers to acquire an asset, equity. As they can sell it quickly when they need access to their savings, and if they want to alter their portfolio. Though many long term investment is required for the profitable investment. But reluctance of the investors towards long term investment as they dont have the access to their savings easily. Permanent access to capital is raised by the companies through equity issues as they are facilitating longer term, more profitable investments and prospect of long term economic growth is enhanced as liquid market improves the allocation of capital. The empirical evidence from the study strongly suggests that greater stock markets create more liquidity or at least continue economic gro wth. (Levine. R A spur to economic Growth) Another paper was focused on the linkages between financial development and economic growth using TYDL model for the empirical exercises by Purna Chandra Padhan suggests that both stock price and economic activity are integrated of order one and Johansen-Juselias Coin-integration tests for this study found one co integrating vector exists. It is proved by the spurious relation rule in this study the existence of at least one direction of causality. He described that bi-directional causality between stock price and economic growth meaning that economic activity can be enhanced by well developed stock exchange and vice-versa. ( Title:Ãâà The nexus between stock market and economic activity: an empirical analysis for India Author(s): Purna Chandra Padhan Journal: International Journal of Social Economics Year: 2007 Volume: 34 Issue: 10Ãâà Page: 741 à ¢Ã¢â ¬Ã¢â¬Å" 753 DOI: 10.1108/03068290710816874 Publisher: Emerald Group Publishing Limited) Chee Keong Choong (Universiti Tunku Abdul Rahman Malaysia) Zulkornain Yusop (Universiti Putra Malaysia) Siong Hook Law (Universiti Putra Malaysia) Venus Liew Khim Sen (Universiti Putra Malaysia) Date of creation: 23 Jul 2003 tried to find out the importance of the causal relationship of Financial development and economic growth. The findings of their study usin autoregressive Distributed lag (ARDL) describes about the positive long run impact on economic growth Granger causality also suggest same results. However, another study on Iran by N. Shahnoushi, A.G Daneshvar, E Shori and M. Motalebi 2008 Financial development is not considered as an effective factor to the economic growth. The study was focused on the causal relationship between the financial development and economic growth. Time series data used for the study from the period 1961-2004. Granger causality shows there is no co integrating relationship between financial development and economic growth in Iran only the economical growth leads to financial development. Establishing link between savings and investment is very much important and financial market provides that. Transient or lasting growth is the ultimate affect of the financial market. Economic growth can be influenced by financial market by improving the productivity of the capital, Investment to firms can be channelled and greater capital accumulation by increasing savings. To ensure the stability of the financial market potential regulation is important due to asymmetric information, especially at the time of financial liberalization. (Economic Development and Financial Market Tosson Nabil Deabes Moderm Academy for technology aand computer sciences; MAM November 2004 Economic Development Financial Market Working Paper No. 2 ) Data: The empirical analysis was carried out using the quarterly data for The UK, The USA, Japan and Malaysia. The data were collected from the DataStream for the period 1993I to 2008III. Economic growth is measured as the growth rate of gross domestic product (GDP) of each country with the help of stock prices SP. For the software processing I used Eviews 6.0 for the planned regression in order to get the results. The empirical analysis is done from the quarterly data from the stock market indices and the and the GDP between the first quarter of 1993 and the fourth quarter of 2008. All the data has been extracted from the data stream and expressed in US$. The data for Japan share price is from Tokyo Stock Exchange. Malaysias Share price is form Kuala Lumpur Composite Index, UKs is from UK FT all share price index and USA share price is taken from the DOW Jones industrial share price index. The nature of the Data is series used for the time series regression. List of Variables: UGDP UK GDP USP UK Share price LUGDP Log of UK GDP LUSP Log of UK Share price USGDP USA GDP USSP USA (DOW Jones) Share price LUSGDP Log of USA GDP LUSSP Log of USA Share price MGDP Malaysia GDP MSP Malaysia Share price LMGDP Log of Malaysia GDP LMSP Log of Malaysia Share price JGDP Japan GDP JSP Japan Share Price LJGDP Log of Japan GDP LJSP Log of Japan Share price Methodology: Engle and Granger (1987) first established the cointegration method. It is a method of measuring long term diversification based on data. Linear combination of two non stationary series shows that they are integrated in order one I(1) that is stationary. And this is a co integrated series. Cointegration Long term common random trend between non stationary time series. The linear combination of both the nonstationary series can be stationary if both the variables are integrated in same order. Cointegration is a very powerful approach in the long term analysis because a common stochastic trend is shared in cointegration that mean two series will not drift separately too much. They might deviate from each other but in the long run but eventually the will revert back in the long run. If there is very low correlation between the series still the series can be co-integrated as high correlation is not implied in cointegration. The reason for choosing the method as it will allow us to check the move between the variable in the long run even there might be a divergence in the short run. The first step in the analysis is check each index series whether the series for the presence of unit root which shows whether the series is non stationary. The method that I followed to do this is Augmented Dickey Fuller Test (ADF). I proceed the Granger cointegration technique 1987 when the stationary requirements are met. Cointegration long term common stochastic trend between nonstationary time series. If non-stationary series x and yare both integrated of same order and there is a linear combination of them that is stationary, they are called cointegrated series. A common stochastic trend is shared in Cointegration. It follows that these two series will not drift apart too much, meaning that even they may deviate from each other in the short-term, they will revert to the long-run equilibrium. This fact makes cointegration a very powerful approach for the long-term analyses. Meanwhile, cointegration does not imply high correlation; two series can be co integrated and yet have very low correlations. Cointegration tests allow us to determine whether financial variables of different national markets move together over the long run, while providing for the possibility of short-run divergence. The first step in the analysis is to test each index series for the presence of unit roots, which shows whether the series are nonstationary. All the series must be nonstationarity and integrated of the same order. To do this, we apply both the Augmented Dickey-Fuller (ADF) test. Once the stationarity requirements are met, we proceed Granger bivariate cointegration (1987) procedure. 30 International Research Journal of Finance and Economics Issue 24 (2009) Series Stationary Test: In this study I have used Augmented Dickey Fuller Test (ADF) to test the stationarity of variables. ADF is test for unit root where I have checked the Unit root and strong negative numbers of unit root is being rejected by the null hypothesis (level of significance). The following regression for the unit root test in Eviews: Is the white noise error tem. Is the difference operator. , () () Here with the test we can find the estimates of are equal to zero or not. Y is said to be stationary if the cumulative distribution of the ADF statistics by showing that if the calculated ratio of the coefficient is less than the critical value according to Fuller (1976). If we accept the Ho the sequence is predicted to be having unit root and if Ho is rejected then we can say that the series doesnt have unit root. This proves that the series is stationary. The co à ¢Ã¢â ¬Ã¢â¬Å"integration test can only be performed if both the sequences are all integrated of order I (1). Cointegration Test: According to Engle and Granger (1987) to check for cointegration if both the variables and are integrated with order one the proposed method for cointegration residual-based test for cointegration (Engle-Granger method). So from the above method we can find the equation By regressing with And after that and is denoted as the estimated regression coefficient vectors. Then, = à ¢Ã¢â ¬Ã¢â¬Å" is representing the estimated residual vector. If the residual is itegrated with zero that means the series for the residual is stationary, and and are then co integrated. An in this situation (1, -) is called co-integrating vector. Therefore is a co integrating equation, so, from it we can say that there is long run relationship between and. Granger causality test: Granger causality test is applied if the relationship is lagged between the two variables to determine the direction of relation in statistical term. It gives information about the short term relationship between the variables. In terms of conceptual definition causality is consist of different ideas, this concept produce a relation between caused and results were agreed upon. Aristo defines that there exist a link between causes and results and without causes these results are impossible. And this strong relationship. Some economists believe that the idea of causality is the mix of both theoretical and explanation and statistical concept. The frontline operational definition of causality is given by some economist, but Granger is the one who provided the information to understand it correctly and completely. Granger s operational causality definition depends of below hypotheses, Next cannot be the reason of past. 1. Next cannot be reason of past. Certain causality is possible only with past causes present time or future time. Cause is always to be come true before the result. In addition, this makes time lagged between causes and results. 2. Causality can be determined only stochastic process. It is not possible to determine the causality between two deterministic processes. After 1990s, Granger and Engle contributed to time series literature importantly. On these developments about time series analysis, some variations were done with Granger Causality test. According to this, possible long-term relationship would be tested and if 20 variables were co-integrated, long-term regression error equation s lagged value would be included in Granger Error Correction model as error correction term. Thus, Granger Causality test should be applied. If there is no co-integration between the variables, it can be continued with Granger Causality Test without including error correction terms. If there is a co-integration between the variables, Granger Causality Test will be failed and it will be certainly necessary to be included error correction term into the models. Granger Causality Test, which depends on time series data, is made by the estimation of the equations below with Least Squares Method (LSM). Xt = + j t j X + i t i Y + Ut Yt = + j t j Y + j t j X + Ut In Granger Causality test, there are three possible situations that one directional causality from x to y or y to x, opposite direction between x and y or one affect to other and independency of x and y each other. This situation changes according to chosen of null hypothesis and lagged values randomly in equations above whose parameters are whether equal to zero or not. According to researches, randomly choice makes causality incline to deviations importantly. To understand this test clearly it can be talked about below equation; t (LNGDP) = 0 + t inii (LNGDP)1+ t I nii (LND1)1+ Ut To apply Granger Causality test under null hypothesis, which illustrates coefficients of financial deepening variables (LND1) are meaningful (equal to zero) and then F-statistics can be calculated. If null hypothesis is not rejected then it is possible to say that Granger causality test accepts that financial deepening causes economic growth. The direction can be either negative or positive (Granger and Engle, 1987). Indicators of the economic growth and the financial deepening are variables, which are used for Granger Causality test. Moreover, this test can determine the effects of one variable on the other. Test result for Unit Root: Augmented Dickey Fuller Model (ADF) is used to test the stationary of each variable. Null and alternative hypothesis describes about the investigation of unit root. If the null is accepted and alternative is rejected then the variable non stationary behaviour and vice versa is stationary. Form the result of Augmented Dickey Fuller test of the four countries variables (Log GDP and Log Share price) shows that the entire variable has unit root at level which proves that the series is not stationary. However, the result from the first difference shows the significance at 1%, 5% and 10% critical value and found to be stationary behaviour. Therefore, it suggests that all the variables are integrated of order one. Variables level/1st Difference Ãâà Augmented Dickey Fuller Statistic(ADF) test Japan Ãâà Conclusion t statistic value With Trend t statistic value With trend and Intercept 1% 5% 10% 1% 5% 10% GDP Level -2.653258 -3.522887Ãâà Ãâà -2.901779 -2.588280 Ãâà -2.693600 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -9.053185 -3.524233 Ãâà -2.902358 -2.588587 -9.003482 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Share Price Level Ãâà -2.116137 -3.522887Ãâà Ãâà -2.901779 -2.588280 Ãâà -2.203273 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference Ãâà -6.899295 -3.524233 Ãâà -2.902358 -2.588587 Ãâà -6.844396 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Table 01: Unit root test for stationary Japan If we have a look on the unit root test for the variables GDP and Share price to find out the stationary behaviour the Augmented Dickey Fuller Test with intercept and with intercept and trend in level and first difference. The t statistic value with trend is -2.653258 which is higher than the critical values in 1%, 5% and 10% critical value. The same applies with intercept and trend as the t statistic value -2.693600 is higher than the critical value in all the level of critical value. So from the nature of stationary behaviour we can say in level GDP shows nonstationary behaviour. And the first difference LnGDP is integrated with order one. In case of LnSP the results with intercept and with intercept trend in level are -2.116137 and -2.203273 which is higher than the critical values shows non stationary behaviour as they are higher than the critical value. The unit root test for the variables at first difference shows stationary as the t statistic value is than the critical value i n all level and they are integrated in order one. Variables level/1st Difference Ãâà Augmented Dickey Fuller Statistic(ADF) test Malaysia Ãâà Conclusion t statistic value With Trend t statistic value With trend and Intercept 1% 5% 10% 1% 5% 10% GDP Level -1.195020 -3.522887Ãâà Ãâà -2.901779 -2.588280 -1.933335 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -5.951843 -3.524233 Ãâà -2.902358 -2.588587 -5.923595 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Share Price Level Ãâà -1.900406 -3.522887Ãâà Ãâà -2.901779 -2.588280 Ãâà -1.891183 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference Ãâà -7.842122 -3.524233 Ãâà -2.902358 -2.588587 Ãâà -7.779757 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà The unit root test result for LMGDP and LMSP values presented in natural logarithm. And the level values with intercept and with intercept and trend for LMGDP is -1.195020 and -1.93335 respectively. The values are higher than the critical value means the series has non stationary behaviour. On the other hand the 1st difference values with intercept and with intercept and trend are -5.951843 and -5.923595 respectively. The 1st difference values are integrated with order one. And in the same way I did the ADF test to check for Stationary behaviour of LMSP in level and first difference with intercept and trend. The values in level are -1.900406 and -1.891183 with intercept and trend us higher than the critical value and the series is not integrated with order one. The first difference t statistic values are -7.842122 and -7.779757 with intercept and with intercept and trend respectively are less than the critical value in both the case implies that the series is integrated with order on e. Variables level/1st Difference Ãâà Augmented Dickey Fuller Statistic(ADF) test UK Ãâà Conclusion t statistic value With Trend t statistic value With trend and Intercept 1% 5% 10% 1% 5% 10% GDP Level -0.690866 -3.522887Ãâà Ãâà -2.901779 -2.588280 -2.377333 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -7.474388 -3.524233 Ãâà -2.902358 -2.588587 -7.439027 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Share Price Level -1.711599 -3.522887Ãâà Ãâà -2.901779 -2.588280 -1.261546 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -7.254574 -3.524233 Ãâà -2.902358 -2.588587 -7.391821 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà The results from Augmented Dickey Fuller test (ADF) for UK GDP in level with intercept and with intercept and trend is à ¢Ã¢â ¬Ã¢â¬Å"0.690866 and -2.377333 respectively. Both the values in level are higher than the critical value and are integrated in order 0 shows non stationary behaviour. The t statistic values in 1st difference with intercept and with intercept and trend are -7.474388 and -7.439207 respectively. Which suggest that the critical values are less than the critical values in 1%, 5% and 10% level. So from the above hypothesis it can be said that it series is integrated with order one. When I performed the unit root test using the same method the series in level with intercept and with intercept and trend the values in are -1.711599 and -1.261546 respectively. The values are higher than the critical values implies that they are not integrated in order one shows non stationary behaviour. However, the 1st difference value of log natural share price is -7.254573 and -7. 391821 with intercept and with intercept and trend respectively. So from the result we can say that the series is integrated in order one in both the cases with intercept and with intercept and trend. So the series in first difference is stationary. Variables level/1st Difference Ãâà Augmented Dickey Fuller Statistic(ADF) test USA Ãâà Conclusion t statistic value With Trend t statistic value With trend and Intercept 1% 5% 10% 1% 5% 10% GDP Level -3.244801 -3.522887Ãâà Ãâà -2.901779 -2.588280 Ãâà 2.866507 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -5.010864 -3.524233 Ãâà -2.902358 -2.588587 -5.010864 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Share Price Level -2.074732 -3.522887Ãâà Ãâà -2.901779 -2.588280 -0.359637 Ãâà -4.088713 Ãâà -3.472558 -3.163450 Ãâà 1st Difference -8.181234 -3.524233 Ãâà -2.902358 -2.588587 -8.735399 Ãâà -4.090602 Ãâà -3.473447 -3.163967 Ãâà Augmented Dickey Fuller Statistic in case of the variable of USA LUSSP and LUGDP I have used the same method using intercept and intercept and trend in level and first difference. The level t statistic value for LUSGDP is -3.244801 and -2.866507 respectively with intercept and with intercept and trend. The result for USA is same as the other country which is higher than the critical values. Proves that the series is not integrated with order one and is nonstationary. Whereas the first difference t statistic value for LUSGDP is less than the critical value. The t statistic value LUSGDP with intercept is -5.010864 and -5.010864 with intercept and trend. In this case both the values are lesser than the critical value implies that the series is integrated with order one in first difference. While taking the values in level and 1st difference in case of LUSSP the tstatistic value in level are -2.074732 and -0.359637 in level respectively with intercept and wit intercept and trend. Still t he series is showing the same nature in level as they are higher than the critical values and the series is not integrated in order 0. The first difference value for LUSSP series with trend and with trend and intercept is -8.181234 and -8.735399 respectively which is less than the critical value implies the series is integrated with order one. Co integration Test: Two step procedure of Engle-Granger cointegration is to check for the long run relationship between the variables. The first stage was run by using traditional OLS method. To do this we need to check whether the series is stationary or not. Which we have checked before by doing ADF test on each series. where the result shows that the series is integrated with order (1). Engle-Granger representation theorem that might have an error correction mechanism is the series is integrated. In this case the long run OLS model is as follows in case of Japan: LJGDP = 7.97824432568 + 0.163668097988*LJSP Dependent Variable: LJGDP Method: Least Squares Date: 12/17/09 Time: 20:30 Sample: 1991Q1 2009Q2 Included observations: 74 Ãâà Coefficient Std. Error t-Statistic Prob. C 7.978244 0.120791 66.04995 0 LJSP 0.163668 0.048847 3.350602 0.0013 R-squared 0.134891 Mean dependent var Ãâà 8.381114 Adjusted R-squared 0.122876 S.D. dependent var Ãâà 0.10605 S.E. of regression 0.099321 Akaike info criterion Ãâà -1.75426 Sum squared resid 0.710261 Schwarz criterion Ãâà -1.69199 Log likelihood 66.90753 Hannan-Quinn criter. Ãâà -1.72942 F-statistic 11.22653 Durbin-Watson stat Ãâà 0.310636 Prob(F-statistic) 0.001287 Ãâà Ãâà Ãâà From the above model I have saved the residual series and performed ADF test with trend and without trend and the values are as follows in the table: Unit Root test for residual Series saved residual RJP T statistic Test critical values: 1% level 5% level 10% level Ãâà With intercept Ãâà -2.831807 -3.522887 Ãâà -2.901779 Ãâà -2.588280 Ãâà With intercept and trend Ãâà Ãâà Ãâà Ãâà From the above table we can see that the result is significant only in 10% level. Which suggest that there might be a long run relationship between the variables. But there is no long run relationship at 1% and 5% significant level as both the values are higher than the critical value. 2nd stage regression result: LJGDP = 7.96681067902 + 0.170453164194*LJSP + 0.819211725701*RJP(-1) Dependent Variable: LJGDP Method: Least Squares Date: 12/31/09 Time: 18:51 Sample (adjusted): 1991Q2 2009Q2 Included observations: 73 after adjustments Ãâà Coefficient Std. Error t-Statistic Prob. Ãâà Ãâà Ãâà Ãâà Ãâà C 7.966811 0.064529 123.4601 0 LJSP 0.170453 0.026119 6.525992 0 RJP(-1) 0.819212 0.064206 12.75915 0 Ãâà Ãâà Ãâà Ãâà Ãâà R-squared 0.747462 Mean dependent var Ãâà 8.384005 Adjusted R-squared 0.740246 S.D. dependent var Ãâà 0.103806 S.E. of regression 0.052906 Akaike info criterion Ãâà -3.00038 Sum squared resid 0.195932 Schwarz criterion Ãâà -2.90625 Log likelihood 112.5137 Hannan-Quinn criter. Ãâà -2.96286 F-statistic 103.5928 Durbin-Watson stat Ãâà 1.958683 Prob(F-statistic) 0 Ãâà Ãâà Ãâà 2nd stage regression suggest that there is short run relationship between stock market and economic growth. As from the table values after running the regression with the help of one intercept and lagged value of the residual save from the first stage regression. Here we can see that the all the coefficient has positive values and r-sruared (0.747462) is less than the Durbin-Watson value(1.958683). so form the results we can see that there exists a short run relationship between stock market and economic growth. Malaysia Following the same stages on Malaysia, by running the regression on OLS to check the long run relationship between stock market and economic growth in Malasia. The equation to check the first stage regression is: LMGDP = 8.2331829641 + 0.340689829517*LMSP The result from the above regression are described in the following table: Dependent Variable: LMGDP Method: Least Squares Date: 12/17/09 Time: 21:00 Sample: 1991Q1 2009Q2 Included observations: 74 Ãâà Coefficient Std. Error t-Statistic Prob. C 8.233183 0.644484 12.77484 0 LMSP 0.34069 0.116332 2.928597 0.0046 R-squared 0.106441 Mean dependent var Ãâà 10.11598 Adjusted R-squared 0.094031 S.D. dependent var Ãâà 0.407894 S.E. of regression 0.388243 Akaike info criterion Ãâà 0.972285 Sum squared resid 10.85275 Schwarz criterion Ãâà 1.034557 Log likelihood -33.97453 Hannan-Quinn criter. Ãâà 0.997126 F-statistic 8.576678 Durbin-Watson stat Ãâà 0.054361 Prob(F-statistic) 0.004557 Ãâà Ãâà Ãâà Unit Root test for residual Series T statistic Test critical values: 1% level 5% level 10% level Ãâà With intercept Ãâà -1.301997 -3.522887 Ãâà -2.901779 Ãâà -2.588280 Ãâà With intercept and trend Ãâà Ãâà Ãâà Ãâà From the above regression and after saving the residual I performed and ADF test with trend and without trend on the residual series. Here the result suggests that the t statistic value is higher than the critical values of 1%, 5% and 10% level. Which suggest that residual series is non stationary and there is no relationship between the variables in long run. The estimated equation in error correction model is as follows: LMGDP = 8.13761928798 + 0.360964712114*LMSP + 0.965225800038*R(-1) Dependent Variable: LMGDP Method: Least Squares Date: 01/01/10 Time: 23:15 Sample (adjusted): 1991Q2 2009Q2 Included observations: 73 after adjustments Ãâà Coefficient Std. Error t-Statistic Prob. C 8.137619 0.147701 55.09505 0 LMSP 0.360965 0.02665 13.54478 0 R(-1) 0.965226 0.027335 35.31042 0 Ãâà Ãâà Ãâà Ãâà Ãâà R-squared 0.952382 Mean dependent var Ãâà 10.12619 Adjusted R-squared 0.951022 S.D. dependent var Ãâà 0.401091 S.E. of regression 0.088766 Akaike info criterion Ãâà -1.96541 Sum squared resid 0.551553 Schwarz criterion Ãâà -1.87128 Log likelihood 74.7374 Hannan-Quinn criter. Ãâà -1.9279 F-statistic 700.0218 Durbin-Watson stat Ãâà 2.075716 Prob(F-statistic) 0 Ãâà Ãâà Ãâà 2nd stage results are suggesting about the short run relationship between the variables. As we can see from the is less than the Durbin-Watson Statistic. So from the result we can say that there exist a co-integrating relationship between stock market and economic growth in short run. UK Considering the case of UK to find out the relationship both in long and short run I used the same procedure to find out the relationship. As all the variables are integrated with order one which suggests the variables are stationary. Now by applying the Engle Granger cointegration method to estimate the co integrating vector in OLS and then examining the residual series. Cointegration for the long run depends on the residual series. Here I defined the residual series a RUK for the variables LUGDP (log of UK GDP) and LUSP(log of UK share price). If we look at the table of the unit root test for the residual series of the Co-integrating regression of LUGDP and LUSP the residual series RUK is -1.355485 with intercept and Ãâà -2.426938 with intercept and trend. Where both the result for unit root test by applying Augmented Dickey Fuller test suggests that the residual series has a nonstationary behaviour in both the case with intercept and with intercept and trend. As the critical value for at 1%, 5% and 10% is -3.522887, -3.522887 and -2.588280 respectively with intercept and -4.088713, -3.472558 and -3.163450with intercept and trend. As the t statistic value is higher than the critical values in both the case, so from the result we can say that the residual series in non stationary and there is no long run relationship between the variable. Dependent Variable: LUGDP Method: Least Squares Date: 12/17/09 Time: 21:10 Sample: 1991Q1 2009Q2 Included observations: 74 Ãâà Coefficient Std. Error t-Statistic Prob. Ãâà Ãâà Ãâà Ãâà Ãâà C 6.41427 0.52629 12.18771 0 LUSP 0.790239 0.064275 12.29475 0 R-squared 0.677363 Mean dependent var Ãâà 12.87916 Adjusted R-squared 0.672882 S.D. dependent var Ãâà 0.332711 S.E. of regression 0.190291 Akaike info criterion Ãâà -0.45386 Sum squared resid 2.607181 Schwarz criterion Ãâà -0.39159 Log likelihood 18.79298 Hannan-Quinn criter. Ãâà -0.42902 F-statistic 151.1608 Durbin-Watson stat Ãâà 0.149084 Prob(F-statistic) 0 Ãâà Ãâà Ãâà Unit Root test for residual Series residual saved T statistic Test critical values: RUK Ãâà 1% level 5% level 10% level Ãâà With Intercept Ãâà -1.355485 -3.522887 Ãâà -2.901779 Ãâà -2.588280 Ãâà With intercept and trend Ãâà -2.426938 -4.088713 -3.472558 -3.16345 2nd stage Dependent Variable: LUGDP Method: Least Squares Date: 01/04/10 Time: 17:57 Sample (adjusted): 1991Q2 2009Q2 Included observations: 73 after adjustments Ãâà Ãâà Ãâà Ãâà Ãâà Ãâà Coefficient Std. Error t-Statistic Prob. Ãâà Ãâà Ãâà Ãâà Ãâà C 6.375942 0.207063 30.79235 0 LUSP 0.795176 0.025265 31.47291 0 RUK(-1) 0.937553 0.046342 20.23103 0 R-squared 0.952647 Mean dependent var Ãâà 12.88329 Adjusted R-squared 0.951294 S.D. dependent var Ãâà 0.333094 S.E. of regression 0.073512 Akaike info criterion Ãâà -2.3425 Sum squared resid 0.378285 Schwarz criterion Ãâà -2.24837 Log likelihood 88.50121 Hannan-Quinn criter. Ãâà -2.30499 F-statistic 704.1223 Durbin-Watson stat Ãâà 2.248029 Prob(F-statistic) 0 Ãâà Ãâà Ãâà USA In case of USA to find out the relationship between stock market and economic growth using Engle Granger cointegration method we find the following results. LUSGDP = 6.422388123 + 0.32041281224*LUSSP Dependent Variable: LUSGDP Method: Least Squares Date: 12/31/09 Time: 02:02 Sample: 1991Q1 2009Q2 Included observations: 74 Ãâà Coefficient Std. Error t-Statistic Prob. Ãâà Ãâà Ãâà Ãâà Ãâà C 6.422388 0.140166 45.82 0 LUSSP 0.320413 0.015722 20.38041 0 R-squared 0.852266 Mean dependent var Ãâà 9.274948 Adjusted R-squared 0.850214 S.D. dependent var Ãâà 0.166293 S.E. of regression 0.064359 Akaike info criterion Ãâà -2.62203 Sum squared resid 0.29823 Schwarz criterion Ãâà -2.55975 Log likelihood 99.01496 Hannan-Quinn criter. Ãâà -2.59719 F-statistic 415.3609 Durbin-Watson stat Ãâà 0.124101 Prob(F-statistic) 0 Ãâà Ãâà Ãâà Unit Root test for residual Series Residual saved RUS T statistic Test critical values: 1% level 5% level 10% level With intercept -0.638033 -3.522887 -2.901779 -2.588280 With intercept and trend -1.430799 -4.088713 -3.472558 -3.163450 After saving the residuals from the 1st stage regression RUS I did the ADF test on it where we can see the t statistic value is literally higher than the 1%, 5% and 10% critical value in both the cases with intercept and with intercept and trend. As we can see the critical values are -3.552287, -2.901779 and -2.588280 with intercept, -1.430799, -3.472558 and -3.163450 in 1%, 5% and 10% level respectively. So the possibility for having long run relationship between GDP and stock price doesnt exist in case of USA. 2nd stage regression: Dependent Variable: LUSGDP Method: Least Squares Date: 01/05/10 Time: 21:36 Sample (adjusted): 1991Q2 2009Q2 Included observations: 73 after adjustments Ãâà Ãâà Ãâà Ãâà Ãâà Ãâà Coefficient Std. Error t-Statistic Prob. C 6.400276 0.051084 125.29 0 LUSSP 0.323107 0.005722 56.46591 0 RUS(-1) 0.972896 0.043361 22.43708 0 R-squared 0.981148 Mean dependent var Ãâà 9.278975 Adjusted R-squared 0.980609 S.D. dependent var Ãâà 0.163769 S.E. of regression 0.022805 Akaike info criterion Ãâà -4.683433 Sum squared resid 0.036405 Schwarz criterion Ãâà -4.589305 Log likelihood 173.9453 Hannan-Quinn criter. Ãâà -4.645922 F-statistic 1821.53 Durbin-Watson stat Ãâà 2.153933 Prob(F-statistic) 0 Ãâà Ãâà Ãâà Granger Causality test: Pair wise Granger Causality Tests Date: 01/05/10 Time: 22:03 Sample: 1991Q1 2009Q2 Lags: 3 Null Hypothesis: Observation F-Statistic Prob. LJSP does not Granger Cause LJGDP 71 1.46842 0.2315 LJGDP does not Granger Cause LJSP Ãâà 0.7659 0.5173 After performing the causality tests on the series DLJGDP and DLJSP with lag 3 according to the causality table to reject the null hypothesis that GDP does not granger cause LJSP. No causal relationship exists between share price and GDP in Japan. Pair wise Granger Causality Tests Date: 01/05/10 Time: 22:18 Sample: 1991Q1 2009Q2 Lags: 3 Null Hypothesis: Observations F-Statistic Prob. LMSP does not Granger Cause LMGDP 71 14.8418 0.0000002 LMGDP does not Granger Cause LMSP Ãâà 0.65292 0.584 We can see the same result when we performed the causality test LMGDP and LMSP. Here we cannot reject the null which shows that there is no causal relationship between stock price and GDP. Pair wise Granger Causality Tests Date: 01/05/10 Time: 22:22 Sample: 1991Q1 2009Q2 Lags: 3 Null Hypothesis: Observations F-Statistic Prob. LUSP does not Granger Cause LUGDP 71 4.17743 0.0092 LUGDP does not Granger Cause LUSP 0.58556 0.6267 Pair wise Granger Causality Tests Date: 01/05/10 Time: 22:24 Sample: 1991Q1 2009Q2 Lags: 3 Null Hypothesis: Observations F-Statistic Prob. LUSSP does not Granger Cause LUSGDP 71 2.50276 0.0671 LUSGDP does not Granger Cause LUSSP 0.51256 0.6751 Analysis of the result:
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