3. 2
*Forecast values for predictor (RHS) variablescalculated usingHolt’s exponential smoothing.
*Charles C. Holt, “Forecasting Seasonals and Trends by Exponentially Weighted Moving Averages,” International
Journal of Forecasting, Vol. 20, No. 1, 2004, pp 5-10.
Figure 1: London Bullion Market Gold Fixing Price: Actual vs. Forecast
(Jan 1973 – September 2015)
*Actual gold fixingpricetaken from London Bullion Market Association, Gold Fixing Price 3:00 P.M. (London time)
in London Bullion Market, based in U.S. Dollars, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/GOLDPMGBD228NLBM/, April 15, 2015.
*Forecast priceof gold fixingpriceis calculated usingthe regression model reported in table 10.
During the period January 1973 – September 2015, the regression model has an average
of about plus or minus 17 U.S. dollars per troy ounce.
During the period January 1973 – September 2015, the regression model has an average
of about plus or minus 4%.
During the period January 1973 – September 2015, about 99% of the variation in the
monthly gold fixing price can be explained by the regression model found in table 10.
0.000
200.000
400.000
600.000
800.000
1000.000
1200.000
1400.000
1600.000
1800.000
2000.000
Jan-73
Jan-74
Jan-75
Jan-76
Jan-77
Jan-78
Jan-79
Jan-80
Jan-81
Jan-82
Jan-83
Jan-84
Jan-85
Jan-86
Jan-87
Jan-88
Jan-89
Jan-90
Jan-91
Jan-92
Jan-93
Jan-94
Jan-95
Jan-96
Jan-97
Jan-98
Jan-99
Jan-00
Jan-01
Jan-02
Jan-03
Jan-04
Jan-05
Jan-06
Jan-07
Jan-08
Jan-09
Jan-10
Jan-11
Jan-12
Jan-13
Jan-14
Jan-15
U.S.DollarsperTroyOunce
Month
gold forecast
gold actual
4. 3
Table 2: Gold Fixing Price Forecast
(Jan 1973 – September 2015)
Regression
Forecast Model
MAE 17.119
MAPE 3.566
RMSE 27.708
Thiel’s
U
0.022
Gold fixing price is expected to have a negative relationship with the monthly return on
the trade-weighted dollar index. The trade weighted dollar index is a measure of the
value of the US dollar compared to other currencies. In the past, gold was used to value
the US dollar, as it tends to be more stable when compared to other currencies. The
price of gold in US dollars tends to reflect consumer confidence in the currency, thus
causing an inverse relationship.
Based upon a hypothesis test from the data reported in table D-3, there is positive
relationship between the gold fixing price and the monthly return on the trade-
weighted dollar index. If the monthly return percentage increases by 1%, the gold fixing
price will increase by 331.84 U.S. dollars per troy ounce. Future values for this predictor
were calculated using Holt’s exponential smoothing.
Gold fixing price is expected to have a negative relationship with the monthly return on
the index for the S&P 500. As previously stated, gold tends to retain its value in times of
economic stress. When equity returns are low, and there is general uneasiness in the
stock market, investors tend to put their money in gold as a hedge. Therefore, as
monthly returns on the S&P 500 rise, the demand for gold is more likely to drop,
therefore implying an inverse relationship.
Based upon a hypothesis test from the data reported in table D-3, there is positive
relationship between the gold fixing price and the monthly return on the S&P 500 index.
If the monthly return percentage increases by 1%, the gold fixing price will increase by
38.09 U.S. dollars per troy ounce. Future values for this predictor were calculated using
Holt’s exponential smoothing.
Gold fixing price is expected to have a positive relationship with the term premium. The
term premium is the return of long term government bonds minus short term bonds (T-
bills). The flow of risk-adverse money from “safe havens” like T-bills to government
bonds can have a significant impact on bond yields overall. Sequentially, this can have
an effect on the equity market, which as previously stated also affects the price of gold.
5. 4
Based upon a hypothesis test from the data reported in table D-3, there is positive
relationship between the gold fixing price and the yield on term premiums. If the yield
percentage increases by 1%, the gold fixing price will increase by 5.88 U.S. dollars per
troy ounce. Future values for this predictor were calculated using Holt’s exponential
smoothing.
Recommendation: Over the course of February 2015 – September 2015, the price of
gold is forecasted to increase over time. Based on this sample’s evidence, it is our
recommendation that the CME group buys shares in the gold equity market, or invest in
the physical commodity to maximize its return.
6. 5
Appendix
Figure A-1: London Bullion Market Gold Fixing Price
(Jan 1973 – Jan 2015)
*Data taken from London Bullion MarketAssociation,Gold Fixing Price 3:00 P.M. (London time) in London Bullion
Market, based in U.S. Dollars, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/GOLDPMGBD228NLBM/, April 15, 2015.
Figure A-2: Monthly Return on Trade Weighted Dollar Index
(Jan 1973 – Jan 2015)
*Data taken from Board of Governors of the Federal Reserve System (US), Trade Weighted U.S. Dollar Index: Major
Currencies, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/DTWEXM/,April 16, 2015.
0.000
200.000
400.000
600.000
800.000
1000.000
1200.000
1400.000
1600.000
1800.000
2000.000
Jan-73
Jan-74
Jan-75
Jan-76
Jan-77
Jan-78
Jan-79
Jan-80
Jan-81
Jan-82
Jan-83
Jan-84
Jan-85
Jan-86
Jan-87
Jan-88
Jan-89
Jan-90
Jan-91
Jan-92
Jan-93
Jan-94
Jan-95
Jan-96
Jan-97
Jan-98
Jan-99
Jan-00
Jan-01
Jan-02
Jan-03
Jan-04
Jan-05
Jan-06
Jan-07
Jan-08
Jan-09
Jan-10
Jan-11
Jan-12
Jan-13
Jan-14
Jan-15
U.S.DollarsperTroyOunce
Month
-6.00%
-4.00%
-2.00%
0.00%
2.00%
4.00%
6.00%
8.00%
Jan-73
Jan-74
Jan-75
Jan-76
Jan-77
Jan-78
Jan-79
Jan-80
Jan-81
Jan-82
Jan-83
Jan-84
Jan-85
Jan-86
Jan-87
Jan-88
Jan-89
Jan-90
Jan-91
Jan-92
Jan-93
Jan-94
Jan-95
Jan-96
Jan-97
Jan-98
Jan-99
Jan-00
Jan-01
Jan-02
Jan-03
Jan-04
Jan-05
Jan-06
Jan-07
Jan-08
Jan-09
Jan-10
Jan-11
Jan-12
Jan-13
Jan-14
Jan-15
Trade-weightedDollars
(monthlyreturn%)
Month
9. 8
Table B-2: London Bullion Market Gold Fixing Price
(Jan 1973 – Jan 2015)
*Data taken from London Bullion MarketAssociation, Gold Fixing Price 3:00 P.M. (London time) in London Bullion
Market, based in U.S. Dollars, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/GOLDPMGBD228NLBM/, April 15, 2015.
Table B-3: Monthly Return on Trade Weighted Dollar Index
(Jan 1973 – Jan 2015)
*Data taken from Board of Governors of the Federal Reserve System (US), Trade Weighted U.S. Dollar Index: Major
Currencies, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/DTWEXM/,April 16, 2015.
0
50
100
150
200
250
300
150 450 750 1050 1350 1650
Frequency
U.S. Dollars Per Troy Ounce
0
50
100
150
200
250
300
-4.5 -1.5 1.5 4.5 7.5
Frequency
Trade-weighted Dollars
(monthly return %)
11. 10
Figure C-1: London Bullion Market Gold Fixing Price & Trade Weighted Dollar Index
(Jan 1973 – Jan 2015)
*London BullionMarket GoldFixing prices are taken from LondonBullionMarket Association, Gold Fixing Price 3:00 P.M.
(London time) in London Bullion Market, based in U.S. Dollars, retrievedfrom FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/GOLDPMGBD228NLBM/, April 15, 2015.
*Monthlyreturnpercentage data onTrade weighteddollar index is takenfrom Board ofGovernors of the Federal Reserve
System (US), Trade Weighted U.S. Dollar Index: Major Currencies, retrievedfromFRED, FederalReserve Bank ofSt. Louis
https://research.stlouisfed.org/fred2/series/DTWEXM/, April 16, 2015.
Figure C-2: London Bullion Market Gold Fixing Price & Monthly Return on S&P
Index
(Jan 1973 – Jan 2015)
*London BullionMarket GoldFixing prices are taken from LondonBullionMarket Association, Gold Fixing Price 3:00 P.M.
(London time) in London Bullion Market, based in U.S. Dollars, retrievedfrom FRED, Federal Reserve Bank of St. Louis
0.000
200.000
400.000
600.000
800.000
1000.000
1200.000
1400.000
1600.000
1800.000
2000.000
-6.00% -4.00% -2.00% 0.00% 2.00% 4.00% 6.00% 8.00%
LondonBullionMarket
(U.S.DollarsPerTroyOunce)
Monthly Return on Trade-weighted Dollar Index
(Monthly Return %)
0.000
200.000
400.000
600.000
800.000
1000.000
1200.000
1400.000
1600.000
1800.000
2000.000
-25.00%-20.00%-15.00%-10.00%-5.00% 0.00% 5.00% 10.00% 15.00% 20.00%
LondonBullionMarketGoldFixingPrice
(U.S.DollarsPerTroyOunce)
Monthly Return on S&P Index
(Monthly Return %)
14. 13
Figure E-1: London Bullion Market Gold Fixing Price
(January 1973 – Jan 2015)
*Data taken from London Bullion MarketAssociation,Gold Fixing Price 3:00 P.M. (London time) in London Bullion
Market, based in U.S. Dollars, retrieved from FRED, Federal Reserve Bank of St. Louis
https://research.stlouisfed.org/fred2/series/GOLDPMGBD228NLBM/, April 15, 2015.
15. 14
Figure E-2: Correlogram of Residuals
(January 1973 – September 2015)
*Residuals arefrom the regression model summarized in table D-3.