Using the STATA software and the Data provided below , cointergrate the variables and construct an Error Correction Model that shows the relationship between the Price of Gold, Interest rate the US, inflation rate of the US, US dollar Index and US Monetary base. show the coefficients of the long run and short run relation

(SHOW ALL MATHEMATICAL EQUATIONS AND ALL RESULTS)

Year (198089) (month:januar y) 1981 19821983 1984 1985 1987 1988 1989 index (Value:US dollar index) 89 90 98 106 Year (1990-99) (month:januar y) 1990 US dollar index (Value:US dollar index) 93 88 87 91 91 90 Year (20002009) (month:januar y) 2000 US dollar index (Value:US dollar index) 100 Year (2010-2019) (month:januar y) 2010 US dollar index (Value:US dollar index) 88 Year (2020) (month:januar y) 2020 US dollar index (Value:US dollar index) 97.39 Year (198089) (month:januar y) 1981 19821983 1984 1985 1987 1988 1989 index (Value:US dollar index) 89 90 98 106 Year (1990-99) (month:januar y) 1990 US dollar index (Value:US dollar index) 93 88 87 91 91 90 Year (20002009) (month:januar y) 2000 US dollar index (Value:US dollar index) 100 Year (2010-2019) (month:januar y) 2010 US dollar index (Value:US dollar index) 88 Year (2020) (month:januar y) 2020 US dollar index (Value:US dollar index) 97.39