UNIVERSITY OF ECONOMICS HOCHIMINH CITY VIETNAM INSTITUTE OF SOCIAL STUDIES THE HAGUE THE NETHERLANDS VIETNAM – NETHERLANDS PROGRAMME FOR M.A IN DEVELOPMENT ECONOMICS FACTORS AFFECTING THE WORLD’S GOLD PRICE: AN ARDL APPROACH BY VU THUY DUONG MASTER OF ARTS IN DEVELOPMENT ECONOMICS HOCHIMINH CITY, OCTOBER 2013 UNIVERSITY OF ECONOMICS INSTITUTE OF SOCIAL STUDIES HO CHI MINH CITY THE HAGUE VIETNAM THE NETHERLANDS VIETNAM - NETHERLANDS PROGRAMME FOR M.A IN DEVELOPMENT ECONOMICS FACTORS AFFECTING THE WORLD’S GOLD PRICE: AN ARDL APPROACH A thesis submitted in a partial fulfillment of the requirements for the degree of MASTER OF ARTS IN DEVELOPMENT ECONOMICS By VU THUY DUONG Academic supervisor: Dr CAO HAO THI HOCHIMINH CITY, OCTOBER 2013 Acknowledgement The thesis could not be completed without considerable supports from my academic supervisor, Dr Cao Hao Thi, who provided me valuable instructions and comments throughout the process of this thesis From bottom of my heart, I would like to give my sincerest thanks to him I am also grateful to Dr Le Van Chon and Dr Truong Dang Thuy for their enthusiasm help about Econometrics techniques and useful advice Therefore, I can overcome many obstacles to complete my research I also take this opportunity to express my thanks for my colleagues They provided me many assistance and encouragement during the time I the research Last but not the least, I would like to thank my family members for their love, encouragement, support for me to finish the Master course as well as the thesis Abstract The paper focuses on investigating factors affecting global gold prices in the shortrun and long-run with daily data from January 2007 to December 2012 By applying autoregressive distributed lag (ARDL) bound test, the empirical results show that there is no evidence of long-run relationship among London gold price, West Texas Intermediate (WTI) crude oil sport price, US dollar index and S&P 500 However, when financial crisis is taken into the research as a dummy variable, the results reveal that financial crisis affects the relationship of gold price with oil price, US dollar index and S&P 500 and cannot conclude that long-run relationship among them existed Therefore, the State Bank of Viet Nam cannot base on the movement of those variables to forecast the movement of world gold price for making their decision in selling or buying gold Table of Contents CHAPTER 1: INTRODUCTION 1.1 Problem Statements 1.2 Research objectives 1.3 Research questions 1.4 Scope of the research 1.5 Structure of the thesis CHAPTER 2: OVERVIEW OF VIETNAM’S GOLD MARKET 11 2.1 The national gold brand of Vietnam 11 2.2 The connection of Vietnam’s gold price to global gold price 11 2.2.1 Domestic gold’s Cost price 11 2.2.2 Domestic gold’s market price 12 2.2.3 The connection between domestic and global gold markets 12 2.2.4 The big gap still exists between the two gold markets 13 CHAPTER 3: LITERATURE REVIEW 15 3.1 The relationship between gold and oil prices 15 3.2 The relationship between gold price and US Dollar exchange rate .16 3.3 The relationship between gold price and stock market 17 CHAPTER 4: RESEARCH METHODOLOGY 21 4.1 Research process 21 4.2 Model establishment 21 4.3 Data collection 21 4.4 Data analysis 24 4.5 Analysis method 25 4.5.1 Stationary and unit root test 25 4.5.2 Cointegration test 26 CHAPTER 5: RESEARCH RESULTS 31 5.1 Descriptive statistics 31 5.2 Correlation matrix 32 5.3 Stationary and unit root test 33 5.4 Cointegration analysis 34 5.4.1 Optimal lag length 34 5.4.2 Serial correlation test 35 5.4.3 Dynamic stability test 35 5.4.4 Bound tests 36 CHAPTER 6: CONCLUSION AND POLICY IMPLICATIONS 38 6.1 Main findings 38 6.2 Policy implications 39 6.3 Limitation 40 6.4 Future research 40 References 41 Appendix A: Lag structure choosing 46 Appendix B: Bound test result 50 List of Figures Figure 4.1: Research process 22 Figure 4.2: Analysis method 25 Figure 5.1: Inverse Roots 36 List of Tables Table 2.1: Correlation matrix between SJC and London’s gold price 13 Table 2.2: Correlation testing between SJC and London’s gold price 13 Table 3.1: Summary of empirical studies in Literature review .18 Table 4.1: Asymptotic critical value bounds for the F-statistics 29 Table 5.1: Descriptive statistics of all series 31 Table 5.2: Correlation matrix 32 Table 5.3: Unit root test for stationary at level 33 Table 5.4: Unit root test for stationary at first difference 33 Table 5.5: VAR lag order selection criteria 34 Table 5.6: Serial correlation test’s result 35 Table 5.7: Bounds test procedure results without crisis interaction .36 Table 5.8: Bounds test procedure results with crisis interaction 36 Abbreviations ADF: Augmented Dickey-Fuller AIC: Akaike Information Criterion ARDL: Autoregressive Distributed Lag CPI: Consumer Price Index ECM: EIA: PP: Error correction models U.S Energy Information Administration Phillips-Perron SBV: SJC UECM: US: VAR: VND: State Bank of Viet Nam Saigon Jewelry Company Limited Unrestricted error correction model United States Vector Autoregression Estimates Vietnam Dong CHAPTER 1: INTRODUCTION 1.1 Problem Statements There is much attention recently on gold, partly due to the surges in its price and the increase in its economic uses Gold has a critical position among the major precious metals Gold is not only an industrial commodity but also an investment asset which is commonly known as a “safe haven” (Baur & Lucey, 2010; Coudert & Raymond-Feingold, 2011) to avoid the increasing risk in the financial markets However, gold prices have been remained unabated, even accelerated further in recent years Since the beginning of financial crisis in August, 2007 to December, 2012, the nominal gold price has increased 146.65% For central banks, gold keeps an important position in their reserve asset Its role is increasingly enhanced from 2009 when there was so much worry about the health of US economy Central banks increase to buy gold due to they want to reduce their reliance on the US dollars as a reserve asset, and to encourage borrowings and to ensure interest rates on these loans were reduced Bellowing is some evidence recently relating to the trend of buying gold from central banks: i “Asked what the most important reserve asset would be in 25 years, about half of officials polled by UBS said the US dollar but 22 percent pointed to gold” (Farchy & Blas, 2010) This is showed that the central banks’ demand for gold will remain strong over time ii And the report of the World Gold Council published on August 14, 2012, mentioned that: “The second quarter was another period of significant purchasing by official sector institutions, with demand accounting to 157.5 tonnes This was a record quarter for central bank buying since the sector began recording net purchases in Q2 2009 and was more than double the 66.2 tonnes of purchases made in the same period of 2011 Purchases in the first half of the year totaled 254.2 tonnes, 25% up on 203.2 tonnes from the same period last year The official sector accounted for 16% of overall Q2 gold demand”(“Gold Demand Trends Q2 2012”,2012) It is clearly showed that the role of gold for central banks is even expanding In addition, there are some notable policies in relation to gold that central banks and nations are applying to ensure that gold accumulated either in their citizens’ hands or in central bank hands (Phillips, 2012): i China putted a ban on exporting gold to ensure that all gold that enters the country stays in the country; ii If the country can produce gold, its central bank will be the directly purchaser For example: Russia & Kazakhstan bought its locally produced gold in March, 2012; iii There is the fact that the trend of buying gold mostly comes from central banks of emerging and newly wealthy nations Their gold holdings are very small in comparison to central banks of US and Europe In Viet Nam, the domestic gold prices got so much fluctuation since September 2009 Especially in 2012, the gap between global and domestic prices had been largely widen, sometimes reaching VND million per tael (a tael is equal to 1.2 ounces) when the demand for gold is larger than the supply for gold due to the “big guy banks” This has caused serious problems to the exchange rate as well as economy Khanh (2010), the General Director of Sai Gon Gold and Silver ACBSJC Joint Stock Company, argued that the increasing in gold price will have both direct and indirect impact to the USD/VND exchange rate, indirect impact to the CPI, affect monetary policy, stock market and real estate market, etc To solve the problem of gap or to stabilize the gold market that is also the requirement of the National Assembly of the Socialist Republic of Vietnam from Resolution No 51/2010/QH12 on the 2011 Socio-Economic Development Plan, there are some notable legal documents issued by the Government and The State Bank of Vietnam (SBV) from 2010 such as: (i) Circular No 01/2010/TT-NHNN dated 06/01/2010 about closing the gold trading floor and terminating all activities of gold trading on foreign account; (ii) Circular No 22/2010/TT-NHNN dated 29/10/2010 about not allowing the commercial bank to convert gold into paper currency and lend for gold trading activities; (iii) Decree No 24/2012/ND-CP dated 03/04/2012 about using gold bars as a tool of payment will be illegal and the State will keep a monopoly on gold bar production, export and import of raw materials for gold bar production via the SBV; (iv) Circular No 16/2012/TT-NHNN dated 25/05/2012 guiding some articles of Decree No 24/2012/ND-CP Yet, those documents have limited the gold supply to the market while the gold demand is still large that make gold prices still “crazy” when global gold price increases In addition, according to the Decision No 16/2013/QD-TTg issued by the Prime Minister on 04/03/2013, gold bullion would be bought and sold by the SBV as needed to keep the gold prices stable and SBV, based on its monetary policies, would buy additional gold bullion from other countries for the aim of controlling foreign reserves This decision is highly appreciated due to it will be an opportunity for the SBV to fully perform the role of “conductor” to stabilize gold prices So, it is necessary that SBV should choose appropriate time to buy gold from abroad in order to increase reserve asset or to boost the supply side In other words, SBV should find out tools to forecast the movement of global and local gold prices when other factors changed From the above features, the paper will focus on analyzing factors (that are addressed in the literature) affecting global gold prices 1.2 Research objectives The main objectives of this paper include: i To investigate the relationship between local and global gold prices; ii To identify variables that affects global price of gold in the short-run and longrun periods; [-0.13541] [ 1.26984] [-2.55480] [-0.36338] DLNGOLD(-6) -0.102557 (0.03970) [-2.58329] -0.095428 (0.07865) [-1.21337] 0.017476 (0.01623) [ 1.07676] -0.089667 (0.04631) [-1.93609] DLNGOLD(-7) 0.004221 (0.04008) [ 0.10530] -0.236829 (0.07940) [-2.98260] 0.029254 (0.01639) [ 1.78532] -0.098118 (0.04676) [-2.09837] DLNGOLD(-8) 0.083195 (0.04064) [ 2.04736] -0.185107 (0.08050) [-2.29949] 0.015701 (0.01661) [ 0.94517] -0.152889 (0.04740) [-3.22519] DLNGOLD(-9) 0.039514 (0.04076) [ 0.96951] 0.067045 (0.08074) [ 0.83038] 0.024453 (0.01666) [ 1.46762] 0.046678 (0.04755) [ 0.98173] DLNGOLD(-10) 0.022147 (0.04001) [ 0.55359] 0.024458 (0.07925) [ 0.30861] -0.003655 (0.01635) [-0.22348] -0.034348 (0.04667) [-0.73599] DLNOIL(-1) 0.058897 (0.02122) [ 2.77491] -0.087923 (0.04205) [-2.09108] -0.013746 (0.00868) [-1.58419] 0.022487 (0.02476) [ 0.90816] DLNOIL(-2) -0.021815 (0.02116) [-1.03118] 0.029021 (0.04191) [ 0.69247] -0.016200 (0.00865) [-1.87310] 0.031231 (0.02468) [ 1.26547] DLNOIL(-3) -0.018594 (0.02093) [-0.88851] 0.128379 (0.04146) [ 3.09671] -0.007147 (0.00856) [-0.83536] 0.004999 (0.02441) [ 0.20476] DLNOIL(-4) 0.066492 (0.02133) [ 3.11801] 0.066102 (0.04225) [ 1.56471] -0.014990 (0.00872) [-1.71939] 0.043984 (0.02488) [ 1.76803] DLNOIL(-5) 0.012336 (0.02110) [ 0.58456] -0.083280 (0.04181) [-1.99209] -0.012496 (0.00863) [-1.44847] -0.032410 (0.02462) [-1.31648] DLNOIL(-6) 0.006114 (0.02157) [ 0.28350] -0.024470 (0.04273) [-0.57272] 0.018508 (0.00882) [ 2.09915] 0.037990 (0.02516) [ 1.50992] DLNOIL(-7) -0.027739 (0.02198) -0.041747 (0.04354) 0.007220 (0.00898) 0.053206 (0.02564) 52 [-1.26217] [-0.95889] [ 0.80356] [ 2.07528] DLNOIL(-8) -0.001053 (0.02200) [-0.04783] -0.013154 (0.04359) [-0.30177] -0.003053 (0.00900) [-0.33940] -0.016930 (0.02567) [-0.65956] DLNOIL(-9) -0.040515 (0.02169) [-1.86824] 0.085761 (0.04296) [ 1.99624] 0.005416 (0.00887) [ 0.61094] 0.073844 (0.02530) [ 2.91883] DLNOIL(-10) 0.019691 (0.02129) [ 0.92488] 0.021686 (0.04218) [ 0.51417] -0.000711 (0.00870) [-0.08167] 0.010799 (0.02484) [ 0.43478] DLNUSDX(-1) -0.095853 (0.10887) [-0.88040] 0.647701 (0.21568) [ 3.00304] -0.145390 (0.04451) [-3.26652] 0.025086 (0.12701) [ 0.19751] DLNUSDX(-2) -0.109814 (0.10980) [-1.00015] 0.177532 (0.21751) [ 0.81620] -0.053672 (0.04489) [-1.19572] -0.003824 (0.12809) [-0.02985] DLNUSDX(-3) -0.166101 (0.10750) [-1.54506] 0.316894 (0.21297) [ 1.48798] 0.067416 (0.04395) [ 1.53396] -0.151287 (0.12541) [-1.20630] DLNUSDX(-4) -0.083149 (0.10878) [-0.76441] -0.286043 (0.21549) [-1.32743] 0.069335 (0.04447) [ 1.55919] 0.010254 (0.12690) [ 0.08080] DLNUSDX(-5) -0.254337 (0.10748) [-2.36646] 0.054635 (0.21291) [ 0.25661] -0.053118 (0.04394) [-1.20895] -0.125716 (0.12538) [-1.00268] DLNUSDX(-6) -0.051025 (0.11232) [-0.45427] -0.269563 (0.22251) [-1.21145] 0.070011 (0.04592) [ 1.52467] -0.082123 (0.13103) [-0.62674] DLNUSDX(-7) -0.031461 (0.11139) [-0.28243] 0.053440 (0.22067) [ 0.24217] 0.018728 (0.04554) [ 0.41125] -0.071854 (0.12995) [-0.55293] DLNUSDX(-8) 0.130725 (0.11294) [ 1.15752] -0.402964 (0.22373) [-1.80114] 0.040831 (0.04617) [ 0.88437] -0.142097 (0.13175) [-1.07854] DLNUSDX(-9) -0.025070 (0.11134) 0.322701 (0.22057) 0.065651 (0.04552) 0.274706 (0.12989) 48 [-0.22516] [ 1.46305] [ 1.44233] [ 2.11493] DLNUSDX(-10) 0.102428 (0.10844) [ 0.94456] 0.350280 (0.21482) [ 1.63055] -0.041941 (0.04433) [-0.94608] 0.242882 (0.12651) [ 1.91993] DLNSPX(-1) -0.030213 (0.03340) [-0.90456] 0.280593 (0.06617) [ 4.24067] -0.072732 (0.01365) [-5.32655] -0.114770 (0.03896) [-2.94549] DLNSPX(-2) -0.029508 (0.03522) [-0.83776] 0.052938 (0.06978) [ 0.75868] -0.011111 (0.01440) [-0.77166] 0.006292 (0.04109) [ 0.15314] DLNSPX(-3) -0.059655 (0.03516) [-1.69680] -0.164728 (0.06965) [-2.36519] 0.047575 (0.01437) [ 3.31008] -0.061336 (0.04101) [-1.49550] DLNSPX(-4) -0.044688 (0.03591) [-1.24439] -0.150494 (0.07114) [-2.11541] 0.032361 (0.01468) [ 2.20429] -0.000773 (0.04189) [-0.01845] DLNSPX(-5) -0.088350 (0.03547) [-2.49057] 0.032144 (0.07027) [ 0.45741] 0.003379 (0.01450) [ 0.23300] -0.007686 (0.04138) [-0.18572] DLNSPX(-6) -0.077812 (0.03495) [-2.22656] 0.115561 (0.06923) [ 1.66922] 0.000937 (0.01429) [ 0.06558] -0.035673 (0.04077) [-0.87500] DLNSPX(-7) 0.018738 (0.03521) [ 0.53221] 0.077897 (0.06975) [ 1.11684] 0.002500 (0.01439) [ 0.17369] -0.081346 (0.04107) [-1.98052] DLNSPX(-8) -0.005346 (0.03478) [-0.15373] 0.093077 (0.06890) [ 1.35098] -0.028732 (0.01422) [-2.02085] 0.072686 (0.04057) [ 1.79156] DLNSPX(-9) -0.054930 (0.03443) [-1.59530] -0.068950 (0.06821) [-1.01082] 0.025767 (0.01408) [ 1.83053] 0.006694 (0.04017) [ 0.16665] DLNSPX(-10) -0.145757 (0.03330) [-4.37742] -0.006018 (0.06596) [-0.09123] 0.042285 (0.01361) [ 3.10637] 0.091170 (0.03884) [ 2.34706] C 0.072370 (0.09980) 0.156474 (0.19770) 0.013848 (0.04080) 0.103979 (0.11642) 54 [ 0.72517] [ 0.79147] [ 0.33942] [ 0.89311] LNGOLD(-1) -0.001134 (0.00178) [-0.63523] -0.003287 (0.00354) [-0.92990] -7.44E-05 (0.00073) [-0.10195] 0.002827 (0.00208) [ 1.35812] LNOIL(-1) -0.002975 (0.00370) [-0.80393] -0.008199 (0.00733) [-1.11854] 0.001869 (0.00151) [ 1.23563] -0.010819 (0.00432) [-2.50614] LNUSDX(-1) -0.012773 (0.01838) [-0.69490] -0.031139 (0.03641) [-0.85517] -0.004414 (0.00751) [-0.58736] -0.021018 (0.02144) [-0.98018] LNSPX(-1) 0.000660 (0.00323) [ 0.20477] 0.005291 (0.00639) [ 0.82802] -0.000379 (0.00132) [-0.28767] 0.002028 (0.00376) [ 0.53900] R-squared Adj R-squared 0.105342 0.055702 0.121592 0.072853 0.153434 0.106462 0.104485 0.054797 Appendix B: Bound test result Equation of Group 1: LS dlngold c dlngold(-1 to -8) dlnoil(to -4) dlnusdx(to -5) dlnspx(to -10) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1); c(32)=c(33)=c(34)=c(35)=0 Wald Test: Test Statistic F-statistic Chi-square Value 0.323849 1.295394 df Probability (4, 848) 0.8621 0.8622 Value Std Err -0.000995 -0.001693 -0.017013 -0.000550 0.001572 0.003187 0.015756 0.002825 Null Hypothesis Summary: Normalized Restriction (= 0) C(32) C(33) C(34) C(35) Equation of Group 1: Ls dlnoil c dlnoil(-1) dlngold(to -8) dlnusdx(to -1) dlnspx(to -4) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1); c(19)=c(20)=c(21)=c(22)=0 Wald Test: Test Statistic F-statistic Chi-square Value 1.997150 7.988600 df Probability (4, 1186) 0.0927 0.0920 Value Std Err -0.002267 -0.007267 -0.033159 0.010571 0.002545 0.005066 0.025592 0.004753 Null Hypothesis Summary: Normalized Restriction (= 0) C(19) C(20) C(21) C(22) Equation of Group 1: Ls dlnusdx c dlnusdx(-1) dlngold(to -5) dlnoil(to -6) dlnspx(to -10) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1); c(27)=c(28)=c(29)=c(30)=0 Wald Test: Test Statistic F-statistic Chi-square Value 2.205181 8.820723 df Probability (4, 897) 0.0666 0.0657 Value Std Err -0.000522 0.000164 -0.009961 -0.000510 0.000571 0.001158 0.005673 0.001041 Null Hypothesis Summary: Normalized Restriction (= 0) C(27) C(28) C(29) C(30) Equation of Group 1: dlnspx c dlnspx(-1 to -10) dlngold(to -8) dlnoil(to -9) dlnusdx(to -9) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1); c(41)=c(42)=c(43)=c(44)=0 Wald Test: Test Statistic F-statistic Chi-square Value 2.090775 8.363101 df Probability (4, 800) 0.0802 0.0791 Value Std Err 0.002788 -0.005652 -0.004848 -0.001493 0.001916 0.003927 0.019498 0.003443 Null Hypothesis Summary: Normalized Restriction (= 0) C(41) C(42) C(43) C(44) Equation of Group 2: LS dlngold c dlngold(-1 to -8) dlnoil(to -4) dlnusdx(to -5) dlnspx(to -10) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1) d1g d2o d3u d4s; c(36) = c(37) = c(38) = c(39) =0 Wald Test: Test Statistic F-statistic Chi-square Value 4.418209 17.67284 df Probability (4, 844) 0.0015 0.0014 Value Std Err -0.029596 0.015451 0.052142 -0.013546 0.008251 0.007194 0.013318 0.006620 Null Hypothesis Summary: Normalized Restriction (= 0) C(36) C(37) C(38) C(39) c(32) = c(33) = c(34) = c(35) = c(36) = c(37) = c(38) = c(39) =0 Wald Test: Test Statistic Value df Probability F-statistic 2.373639 (8, 844) 0.0157 Chi-square 18.98912 0.0149 Value Std Err Null Hypothesis Summary: Normalized Restriction (= 0) C(32) -0.003046 0.002653 C(33) -0.004426 0.005737 C(34) -0.045963 0.018049 C(35) 0.000394 0.003751 C(36) C(37) -0.029596 0.015451 0.008251 0.007194 C(38) 0.052142 0.013318 C(39) -0.013546 0.006620 Equation of Group 2: Ls dlnoil c dlnoil(-1) dlngold(to -8) dlnusdx(to -1) dlnspx(to -4) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1) d1g d2o d3u d4s; c(23) = c(24) = c(25) = c(26) = Wald Test: Test Statistic F-statistic Chi-square Value 7.399536 29.59815 df Probability (4, 1182) 0.0000 0.0000 Value Std Err -0.001063 0.009209 -0.051396 0.026153 0.013456 0.011510 0.021640 0.010939 Null Hypothesis Summary: Normalized Restriction (= 0) C(23) C(24) C(25) C(26) c(19) = c(20) = c(21) = c(22) = C(23) = c(24) = c(25) = c(26) = Wald Test: Test Statistic F-statistic Chi-square Value 4.719896 37.75917 df Probability (8, 1182) 0.0000 0.0000 Value Std Err 0.001331 -0.010880 -0.004675 0.006999 -0.001063 0.009209 -0.051396 0.026153 0.004220 0.008826 0.029327 0.006212 0.013456 0.011510 0.021640 0.010939 Null Hypothesis Summary: Normalized Restriction (= 0) C(19) C(20) C(21) C(22) C(23) C(24) C(25) C(26) Equation of Group 2: Ls dlnusdx c dlnusdx(-1) dlngold(to -5) dlnoil(to -6) dlnspx(to -10) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1) d1g d2o d3u d4s; c(31) = c(32) = c(33) = c(34) = Wald Test: Test Statistic F-statistic Chi-square Value 2.744189 10.97675 df Probability (4, 893) 0.0275 0.0268 Value Std Err -0.006591 0.007060 0.009611 -0.004094 0.003024 0.002651 0.004836 0.002438 Null Hypothesis Summary: Normalized Restriction (= 0) C(31) C(32) C(33) C(34) c(27) = c(28) = c(29) = c(30) = c(31) = c(32) = c(33) = c(34) = Wald Test: Test Statistic F-statistic Chi-square Value 2.483260 19.86608 df Probability (8, 893) 0.0115 0.0109 Value Std Err -0.000746 -0.002511 -0.018161 0.000658 -0.006591 0.007060 0.009611 -0.004094 0.000977 0.002138 0.006661 0.001401 0.003024 0.002651 0.004836 0.002438 Null Hypothesis Summary: Normalized Restriction (= 0) C(27) C(28) C(29) C(30) C(31) C(32) C(33) C(34) Equation of Group 2: dlnspx c dlnspx(-1 to -10) dlngold(to -8) dlnoil(to -9) dlnusdx(to -9) lngold(-1) lnoil(-1) lnusdx(-1) lnspx(-1) d1g d2o d3u d4s; c(45)=c(46)=c(47)=c(48) = Wald Test: Test Statistic F-statistic Chi-square Value 1.283832 5.135328 df Probability (4, 796) 0.2747 0.2737 Value Std Err -0.015950 0.010166 0.039558 -0.015075 0.010401 0.008970 0.018184 0.008959 Null Hypothesis Summary: Normalized Restriction (= 0) C(45) C(46) C(47) C(48) c(41)=c(42)=c(43)=c(44) = c(45)=c(46)=c(47)=c(48) = Wald Test: Test Statistic F-statistic Chi-square Value 1.688787 13.51030 df Probability (8, 796) 0.0974 0.0955 Value Std Err C(41) C(42) 0.003565 -0.011125 0.003319 0.007211 C(43) -0.026884 0.022721 C(44) 0.001358 0.004688 C(45) -0.015950 0.010401 C(46) 0.010166 0.008970 Null Hypothesis Summary: Normalized Restriction (= 0) C(47) 0.039558 0.018184 C(48) -0.015075 0.008959