Determinants Of Gold Price: Using Simple And Multiple Linear Regression .

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DETERMINANTS OF GOLD PRICE: USING SIMPLEAND MULTIPLE LINEAR REGRESSIONCHOONG PIK SANKWOO PUI YEEPIONG CHEE KEAIWONG WEN XUANBACHELOR OF BUSINESS ADMINISTRATION(HONS) BANKING AND FINANCEUNIVERSITI TUNKU ABDUL RAHMANFACULTY OF BUSINESS AND FINANCEDEPARTMENT OF FINANCEMAY 2012

DETERMINANTS OF GOLD PRICE: USING SIMPLEAND MULTIPLE LINEAR REGRESSIONBYCHOONG PIK SANKWOO PUI YEEPIONG CHEE KEAIWONG WEN XUANA research project submitted in partial fulfillment of therequirement for the degree ofBACHELOR OF BUSINESS ADMINISTRATION(HONS) BANKING AND FINANCEUNIVERSITI TUNKU ABDUL RAHMANFACULTY OF BUSINESS AND FINANCEDEPARTMENT OF FINANCEMAY 2012

Copyright @ 2012ALL RIGHTS RESERVED. No part of this paper may be reproduced, stored in aretrieval system, or transmitted in any form or by any means, graphic, electronic,mechanical, photocopying, recording, scanning, or otherwise, without the priorconsent of the authors.ii

DECLARATIONWe hereby declare that:(1) This undergraduate research project is the end result of our own work and that dueacknowledgement has been given in the references to ALL sources of informationbe they printed, electronic, or personal.(2) No portion of this research project has been submitted in support of anyapplication for any other degree or qualification of this or any other university, orother institutes of learning.(3) Equal contribution has been made by each group member in completing theresearch project.(4) The word count of this research report is 18308.Name of Student:Student ID:Signature:1. Choong Pik San09ABB059442. Kwoo Pui Yee09ABB066343. Piong Chee Keai09ABB077664. Wong Wen Xuan09ABB06629Date: 20th APRIL 2012iii

ACKNOWLEDGEMENTFirst and foremost, we appreciated those who had helped us throughout thedevelopment of this research project. The accomplishment of this research wascontributed by many parties. Firstly, we would like to express our gratitude to UniversityTunku Abdul Rahman (UTAR) by giving us the chance to experience the process ofdoing research. Moreover, throughout the research study, we had learned much in therelated research topic in this project.Secondly, we would like to thank our supervisor, Ms. Koay Ying Yin for herassistant and supervision in guiding us in the process of this research project. Her usefuladvice and valuable guidance had helped us a lot in solving the problems we hadencountered when the research was conducted. Not only that, she also shared lots ofresearch experience with us. Besides, we would like to send our gratitude to our secondexaminer, Ms Loo Sook Kuan for her sincere suggestions in improving our researchproject.Lastly, we would like to thank those who had encouraged us during thepreparation of our thesis such as our course mates, parents and librarian. Their efforts inhelping us throughout the research were highly appreciated. Without all the assistanceand guidance from them, this project would never be easy for us.iv

TABLE OF CONTENTSPageCopyright Page . iiDeclaration . . iii.Acknowledgement . ivTable of Contents .vList of Tables .xList of Figures .xiList of Abbreviations xiiList of Appendices xiiiAbstract xivCHAPTER 1INTRODUCTION .11.0Introduction .11.1Research Background .11.2Problem Statement . .61.3Research Objective . 71.3.1General Objective. 71.3.2Specific Objective. .81.4Research Question. . .81.5Hypothesis of Study . .91.6Significance of Study. .101.7Chapter Layout .11CHAPTER 2LITERATURE REVIEW . .122.0Introduction .12v

2.1Review of the literature .122.1.1Gold price and inflation. .132.1.2Gold price and silver price. .162.1.3Gold price and USA Dollar trade weighted index . .172.1.4Gold price and Brent crude oil price .202.2Review of Relevant Theoretical Model .222.3Proposed theoretical and conceptual framework .232.4Hypothesis Development . 252.4.1Gold price and Inflation .252.4.2Gold price and Silver Price .262.4.3Gold price and USA Dollar Trade Weighted Index .272.4.4Gold price and Brent Crude Oil Price .282.5Conclusion . . 29CHAPTER 3METHODOLOGY . .303.0Introduction .303.1Data Description . .303.2Flow of Analysis . .313.3Simple Linear Regression. .323.3.1General Equation . .323.3.2Reasons of using simple linear regression .323.3.3Assumptions lying under simple linear regression .323.3.4Properties of least-squares estimators . .353.3.5Hypothesis Testing . .36vi

3.3.5.1Gold price and Inflation .363.3.5.2Gold price and Silver Price 363.3.5.3 Gold price and USA dollar trade weighted index.363.3.5.43.4Gold price and Brent crude oil price .37Multiple Linear Regression. . .373.4.1General Equation . 373.4.2Reasons of using multiple linear regression 373.4.3Assumptions lying under multiple linear regression .383.4.4Hypothesis Testing . .393.4.53.4.4.1Test on the significance of individualindependent variable (t-test) .393.4.4.2Test on the overall significance of MultipleLinear Regression Model (F-test) .40Diagnosis Checking . 403.4.5.1Multicollinearity .403.4.5.2Heteroskedasticity . .413.4.5.3 Autocorrelation .423.4.5.4 Model Misspecification .423.5Log-Log Model . 433.5.1General Equation . 433.5.2Reasons of using log-log model . .433.5.3Hypothesis Testing and Diagnosis Checking .443.6Conclusion 44CHAPTER 4DATA ANALYSIS .45vii

4.0Introduction .454.1Simple Linear Regression Model Result . 454.1.14.2Results Interpretations and Hypothesis testing 46Multiple Linear Regression model . .484.2.1 Results Interpretations .494.2.1.1Gold price and inflation .494.2.1.2Gold price and silver price .514.2.1.3 Gold price and USA dollar trade weighted index.514.2.1.44.34.4Gold price and Brent crude oil price .534.2.2Is the model significant?. .544.2.3Diagnosis Checking .54Log-log Model . . .564.3.1Results Interpretations and Hypothesis testing .564.3.2Which models to choose?.58Conclusion 59CHAPTER 5CONCLUSION . .605.0Introduction .605.1Discussion of Major Findings .605.1.1Inflation and gold price .615.1.2Silver price and gold price 615.1.3USA dollar trade weighted index and gold price .625.1.4Brent crude oil price and gold price .625.1.5Fitness of CNLRM in the study .62viii

5.2Contributions of Study .635.3Limitations of study .645.4Recommendations for Future Research .66References .69Appendices 74ix

LIST OF TABLESPageTable 1: Determinants of gold price using simple linear regression model46Table 2: Determinants of gold price using multiple linear regression model48Table 3: Determinants of gold price using log-log model56Table 4: Diagnostic checking58x

LIST OF FIGURESPageFigure 1 : Gold price from the year Q1 1971 to Q1 20113Figure 2 : Proposed model24Figure 3 : Flow of methodology analysis31xi

LIST OF ABBREVIATIONSARCHAutoregressive conditional heteroscedasticityBLUEBest Linear Unbiased EstimatorCLRMClassical Linear Regression ModelCNLRMClassical Normality Linear Regression ModelCRDBrent Crude Oil PriceECMError Correction ModelGFDGlobal Financial DataGOLDGold PriceIFSInternational Financial StatisticsInCRDLogarithm of Gold priceINFWorld Consumer Price IndexInGOLDLogarithm of Gold priceInINFLogarithm of Gold priceInSILLogarithm of Silver priceM1Money SupplyOLSOrdinary Least SquareRESETRegression Specification Error TestSILSilver PriceUSDUSA Dollar Trade Weighted IndexVECMVector Error Correction ModelVIFVariance Inflation Factorxii

LIST OF APPENDICESPageAppendix 4.1: Simple Linear Regression Model .74Appendix 4.2: Multiple Linear Regression Model .76Appendix 4.3: Diagnostic Checking .77Appendix 4.4: Log model .80Appendix 4.5: Diagnostic Checking 81xiii

ABSTRACTThe gold related research had been highlighted in the recent years due to the sharpincreasing trend of gold price since 2005. Gold price stated an average price of USD 427per ounce in 2005 had increased dramatically to USD 1384 per ounce in first quarter of2011. Besides, the important characteristics of gold hedge against uncertainty ofeconomic condition had made gold served as an important investment tools in the market.The main objective of this paper was to examine the determinants of gold price byinvestigating the four keys influencing variables affecting gold price, such as inflation,silver price, USA dollar trade weighted index and Brent crude oil price. Quarterly datawhich obtained from the period of 1971 to first quarter of 2011 were sourced fromInternational Financial Statistics (IFS) and Global Financial Data (GFD). Simple linearregression model and multiple linear regression model were constructed to investigate therelationship between independent variables and gold price by using Ordinary LeastSquare (OLS) procedure. The study findings showed there were positive relationshipbetween inflation, silver price and Brent crude oil price with gold price. On the otherhand, the negative relationship could be observed between USA Dollar trade weightedindex and gold price. A more comprehensive model could be provided in this study bycapturing various factors into consideration. This framework contributed to a betterunderstanding of which factors could significantly affecting gold price. In addition,financial planners were provided with better decision aid in the investment strategy.xiv

Determinants of Gold Price: Using Simple and Multiple Linear RegressionCHAPTER 1: INTRODUCTION1.0 IntroductionThis chapter focused on the research background of gold, followed by problemstatement, research objectives which consist of general objectives and specificobjectives, research question, hypothesis of study, significance of study and chapterlayout.1.1 Research backgroundThe continuous rising of gold price since the year of 2005 had pulled the attentionsfrom researchers and investors. At the year of 2005, gold only recorded at the averageprice of USD444.84 per ounce and the increasing trend of gold price was continued togrow at a faster rate. At the first quarter of year 2011, gold price had reached at itspeak of USD 1384.38 per ounce. There were several reasons which led gold price atincreasing trend. One of the reasons that caused the increasing trend of gold price wasdue to the gold characteristics that served as the inflation hedge. Gold served as theinflation hedge meant the gold value will increase accordingly when inflation rateincrease. In other words, the gold preserved its value even though inflation happened.Therefore, gold was proven to have inflation hedge capabilities. The evidence of goldas inflation hedge enabled investors to allocate better in their asset portfolio in orderto minimize the losses caused by inflation. As most of the investors had concern overthe prospect of resurgence in inflation, many investors chose to invest in gold relatedproducts due to gold was recognized as an outperform asset during high-inflationperiod (Oxford Economics, 2011). Moreover, gold also served as an effective hedgeagainst US dollar exchange rate (Baur, 2011). In fact, majority of the goldPage 1 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressiontransactions in the world were in US dollar. Thus if dollar depreciated against othercurrency, gold price would increased, thus it could preserved the real value of gold.According to Parisi and Diaz (2007), gold had proved to be the most effectivecommodity for cash return during the stock exchange crisis in year 1987 and AsianCrisis in 1997. Therefore, investors viewed gold as a safe haven asset to hedgeagainst economic crisis. Besides, gold was widely used as investment tool bygovernments, households institutional and private equity investors to safeguard theinvestment value. This was because gold could act as insurance in preserving thevalue if there were economic crisis. For example, when there was high inflation in aneconomy, US dollar was to lose its value as overall price of goods and services wereincreased. On the other hand, gold price would increase when inflation happened thusthe gold investment value was protected. Therefore, gold could protect investorssuffer losses from inflation (Bolgorian & Gharli, 2010). However, Baur (2011) hadfound the gold characteristic of inflation hedge only applicable in univariateframework which assumed no other variables could affect gold price.According to Baur (2011), gold also occupied an important role in hedge against USdollar exchange rate. This was because majority of gold transactions in the worldwere priced in US dollar. When US dollar depreciated against other currencies, thenominal gold price in US dollar will increased in its value thus the real value of goldcould be sustained. With the characteristics stated above, gold served as a hedgeagainst US dollar exchange rate risk. Furthermore, gold was proven to hold thefunction of store value of money against currency devaluation and commodity pricechanges. As a result, investors had higher tendency to invest in gold which served asthe store of value especially during economy uncertainty. The uncertainty of economycondition had made the prediction difficult in securities market.Page 2 of 84

Determinants of Gold Price: Using Simple and Multiple Linear RegressionFigure 1: Gold price from the year Q1 1971 to Q1 2011Gold Price 000GOLD(US/oz)400.000200.000Q1 1970Q1 1972Q1 1974Q1 1976Q1 1978Q1 1980Q1 1982Q1 1984Q1 1986Q1 1988Q1 1990Q1 1992Q1 1994Q1 1996Q1 1998Q1 2000Q1 2002Q1 2004Q1 2006Q1 2008Q1 20100.000*Sourced: International Financial Statistics, (IFS).According to Mills (2003), gold price had tied closely to gold standard at USD 20.67per ounce before the year of 1934. After the collapsed of gold standard, gold pricewas raised to USD 35 per ounce and the price remained unchanged until the year of1968. The gold price was freely determined by the market supply and demand afterthe breakdown of the Bretton Woods 1 system at 1971. However, the unique goldpricing mechanism had to be fixed twice a day in London.Based on Figure 1, gold price recorded at the level of USD 38.50 in the first quarterof 1971. It had shoot up to USD 631.08 at the first quarter of 1980. The reasonsbehind of the increasing trend of gold price were the lack of new mining supply andthe oil crisis happened at the year of 1973 (Mills, 2003). Besides, the incident of highinflation, the uncertainty in international politics and losing confidence towards US1Bretton Woods is a system which required all the central banks from different countries to maintainfixed exchange rate with US dollar.Page 3 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressiondollar from 1976 to 1980 had forced gold price to increase further. The increased goldprice in 1980 was caused by trading in future market (Mills, 2003). However, goldprice had quickly dropped to the level of USD 362 per ounce in 1982. Later on, goldprice had recorded a rather stable price from the range of USD 250 per ounce to USD450 per ounce from the year of 1982 to 2005. From Figure 1, gold price was observedto be quite stable in the market throughout the above period. However, the stable goldprice did not hold longer than that. Since 2005, gold price had increased dramaticallyfrom price level of USD 427 per ounce to USD 1384 per ounce at early year of 2011.Within this period, gold price had increased USD 957 per ounce or 224% comparedto year 2005. This phenomenon had attracted attention of many researchers ininvestigating the factors affecting the appreciation of gold price.There were two main factors which explained the increasing trend of gold price inshort run. First, when economy was attacked by crisis, most of the investors lostconfidence towards security market. Therefore, investors tend to switch theirinvestment funds to gold market which believed to be more insurable and risklessfrom the unstable financial market. From company perspective, multinationalcompanies were often exposed to currency exchange risk when transactions were heldbetween subsidiaries and parent company. Therefore, big corporate often employ goldto hedge against the fluctuation of US dollar against other currencies. Besides, theincreased oil price which led to inflation was another reason for companies to holdgold as the inflation hedge. This resulted the gold trading could help to protect thereal value for investment against US dollar oscillation and inflation (Shafiee & Topal,2010).On the other hand, there were three major reasons which led gold price to increase inlong run. Firstly, the increased mining costs, decreased exploration and difficulties infinding new deposits had heavily reduced gold production in the recent years. Thiswas because gold resources were getting lesser as it had been widely explored.Therefore, gold price would be traded in higher price for its depleted production orgold supply. Secondly, market uncertainty had contributed to the increasing of goldPage 4 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressionprice. High market volatility led to ambiguous condition in future. From investors‟perspective, in order to hedge against economy uncertainty, investors tend to allocategold as part of the investments portfolio. This was to ensure the safety returnregardless the condition of economy. In this case, gold served as an insurance againsteconomic uncertainty as it held the characteristic of high liquidity. This featureenabled gold to be marketable even in unstable financial markets, thus gold demandhad hugely increased in the recent years. The third reason was gold was easy andconvenient for investors to invest and trade via gold Exchange Traded Funds (ETFs),thus it helped in stimulating the demand in gold. With the excessive demand overgold, eventually it led gold price to increased (Shafiee & Topal, 2010).There were numbers of recent studies had been done related to gold. Baur (2011) haddone a study related to the additional role of gold as a hedge of financial losses and asafe haven asset despite of its traditional role which acted as a store value of moneyand inflation hedge. However, Rockerbie (1999) had developed a model to examinethe gold production in South Africa from 1970 to 1995. Apart from that, there wereresearchers suggested that gold price can be forecasted using crude oil price (Zhang& Wei, 2010) and silver price (Escribano & Granger, 1997). This was because bothcommodities had high correlation with gold price. Furthermore, Pukthuanthong andRoll (2011) study had contributed to the research of the puzzling behavior betweengold and US dollar. On the other hand, Wang, Lee and Nguyen Thi (2011) had done aresearch on short run and long run inflation hedging effectiveness of gold in UnitedStates and Japan. The paper was to examine the effectiveness of gold hedge againstexpected inflation in short run and long run.Moreover, some research also had been done from the perspective of gold pricebehavior. Ismail, Yahya and Shabri (2009) who studied the gold price behavior foundthat gold price was significantly affected and it could be forecasted using economyfactors like Commodity Research Bureau future index; USD/Euro foreign exchangerate; inflation rate; money supply; New York Stock Exchange; Standard and Poor500; Treasury bill rate and US dollar index. The study found that jewellery demandPage 5 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressionhad significantly contributed to the rise in gold price (Batchelor & Gulley, 1995).Meanwhile, Salant and Henderson (1978) clarified the anticipation of governmentpolicy could affect the real gold price.1.2 Problem StatementEver since 1971, gold price had dramatically increased from USD 38.50 per ounce toUSD 631.10 per ounce at first quarter of 1980. This trend continued to grow untilgold price reached the peak level at August of 2011. At that time, gold price hadrecorded the highest price of USD 1917 per ounce. The reason of gold breakthroughits highest price was due to the downgrade of S&P rating on US Treasury bond fromAAA to AA (Detrixhe, 2011). The downgrade of US Treasury bond had led to USDebt Crises. This was due to the investors had lost confidence in US paper currency.As a result, most of the investor had shifted their investment into gold which servedas shield to protect the investment value. With all the factors above, an increaseddemand in gold had caused gold price to reach at USD 1917 per ounce in August2011 (Yi Tian, 2011).However, the high gold price trend had become anxious to some investors. This wasbecause gold price might not stay long at the current increasing trend. The excessivedemand of gold for speculating needs might be another reason which led to high goldprice. Based on the information provided in World Gold Council‟s demand trendreport in Q3 2011, the gold demand in the particular quarter had reached at 1053.9tonnes. The demand had increased by 6% compared to Q3 2010. The reason of theincreased in gold demand was mainly caused by the increased demand in goldinvestment. The 33% increased in gold investment on year to year had supported theexcessive gold demand in the market (Global gold demand, 2011). Unlike papercurrency, gold production was limited due to its nature of scarcity. This excessivedemand would cause gold to reach at higher price from its real value. Therefore, goldbubble might exist in the market. If in the case of bubble burst, gold investors wouldPage 6 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressionsuffer losses. On the other hand, gold increasing trend had made gold investmentbecame more attractive compared to other investments. The increasing trend allowedgold investors to speculate in gold price with the hope of the trend could maintain inlong run. In fact, the trend might stop if the gold bubble burst in the market.With the consideration above, this study had constructed a gold price model whichcould provide the rationale for the fluctuation of gold price. The important factorswhich could affect gold price were included in the model. Besides, an indicator forthe investors and financial planners to make decision on gold investment wasprovided by the framework. In addition, this study also served as the piece of advicefor financial planners and investors to hold a better understanding of the variableswhich could affect gold price. Thus, this could help the investors and financialplanners with a better decision aid in asset allocation especially in gold investment.1.3 Research Objective1.3.1 General ObjectiveTo examine the relationship between inflation (Consumer Price Index), silver price,USA dollar trade weighted index and Brent crude oil price on the gold price.To examine to what extent the Classical Normal Linear Regression Model (CNLRM)is useful in analyzing factors affecting gold price. Is CNLRM an appropriate model tostudy the determinants of gold price in this research?Page 7 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regression1.3.2 Specific Objectivei)To examine on the relationship between inflation and gold price bydeveloping simple and multiple linear regressions.ii) To determine the relationship between silver price and gold price bydeveloping simple and multiple linear regressions.iii) To examine on the relationship between USA Dollar Trade Weighted Indexand gold price by developing simple and multiple linear regressions.iv) To investigate the relationship between Brent crude oil price and gold priceby developing simple and multiple linear regressions.1.4 Research QuestionThere were several questions arose regarding to gold price, inflation (consumer priceindex), silver price, USA dollar trade weighted index and Brent crude oil price whenthe study was conducted. Crude oil market had been booming since the year of 2002(Fattouh, 2010). The increased crude oil price had influential impact on gold market.Therefore, the question arose as what would be the relationship exist between thecrude oil price and gold price? Besides, gold had been mentioned as safety tool toprotect the investment value when there were high inflation and depreciation of UScurrency against other currencies. Therefore, what would be the relationships existedbetween gold price with inflation and US dollar exchange rate?Apart from that, gold and silver had been identified as the main commodities in themarket. Moreover, both gold and silver had similar characteristics. Thus the questionarose as what would be relationship exist between gold price and silver price? Lastly,since Classical Normal Linear Regression Model (CNLRM) was said to produce thebest linear unbiased estimators (BLUE) if all the assumptions were fulfilled (Gujarati& Porter, 2004). The question arose as to what extent the CNLRM is useful in thePage 8 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regressionstudy? Therefore, this research was conducted with the aim to address the problemsarose on the related issue.1.5 Hypothesis of Study1. H0: 𝛽₁ 0 (There is no relationship between inflation and gold price)H₁ : 𝛽₁ 0 (There is a relationship between inflation and gold price)Decision rule: Reject H0 if t-statistic is larger than positive critical value orsmaller than negative critical value, otherwise do not reject H0.2. H0: 𝛽₂ 0 (There is no relationship between silver price and gold price)H₁ : 𝛽₂ 0 (There is a relationship between silver price and gold price)Decision rule: Reject H0 if t-statistic is larger than positive critical value orsmaller than negative critical value, otherwise do not reject H0.3. H0: 𝛽₃ 0 (There is no relationship between USA dollar trade weighted indexand gold price)H₁ : 𝛽₃ 0 (There is a relationship between USA dollar trade weighted indexand gold price)Decision rule: Reject H0 if t-statistic is larger than positive critical value orsmaller than negative critical value, otherwise do not reject H0.4. H0: 𝛽₄ 0 (There is no relationship between Brent crude oil price and gold price)H₁ : 𝛽₄ 0 (There is a relationship between Brent crude oil price and gold price)Decision rule: Reject H0 if t-statistic is larger than positive critical value orsmaller than negative critical value, otherwise do not reject H0.Page 9 of 84

Determinants of Gold Price: Using Simple and Multiple Linear Regression1.6 Significance of StudyThe previous researchers such as Zhang and Wei (2010) and Escribano and Granger(1997) had focused their research area into the relationship between solely one factorand gold price. For example, Zhang and Wei (2010) had examined the relationshipbetween crude oil market and gold market. On the other hand, Escribano and Granger(1997) had done their research in examined the relationship between silver price andgold price. However, in reality gold price did not solely affected by single factor.Therefore, the research model in this study which captured four different factors indetermining gold price enabled the analysis to be more accurate and comprehensive.In the study, the relationship between the proposed independent variables such asinflation (world consumer price index as a proxy for inflation), silver price, USADollar Trade Weighted Index and Brent crude oil price with gold price were beinginvestigated.Besides, ordinary least square (OLS) procedure was employed in this researchmethodology to investigate the relationship between gold price and four independentvariables. Simple linear regression model was carried out to test the significance ofrelationship for each independent variable towards gold price. Next, multiple linearregressions model was constructed to examine the significance relationship of all thefour independent variables with gold price. In the meantime, the consistency ofexpected sign of each independent variable in multiple linear regression and simplelinear regression were observed. Furthermore, the findings of the study coulddetermine the fitness of CNLRM in determining gold price.When there was economy crisis, investors often shift their investments from securitiesmarket to gold market in order to safeguard the investment value. However, theincreasing trend of gold price did not always held, the increased gold price might dueto the over demand of speculating needs. With the reason stated above, gold marketmight collapse once the gold bubble burst in the market. In that case, many investorswho allocate investments in gold investment might suffer from losses. Therefo

Table 1: Determinants of gold price using simple linear regression model 46 Table 2: Determinants of gold price using multiple linear regression model 48 Table 3: Determinants of gold price using log-log model 56

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