Forecasting the US Dollar/Euro Exchange Rate Group B John Hottinger Jingyu Nie Katharina Denk Alex Brown Joel Demartini Yuanchen Wang Doug Skipper-Dotta
Exchange Rates What are they? What are they? We will be focusing on the U.S. Dollar vs Euro Exchange Rate We will be focusing on the U.S. Dollar vs Euro Exchange Rate An exchange rate is how much one currency is worth compared to another currency An exchange rate is how much one currency is worth compared to another currency Current U.S./Euro i.e. it take $1.43 to buy one Euro Current U.S./Euro i.e. it take $1.43 to buy one Euro
Goal We want to forecast what the exchange rate up to 6 months in the future We want to forecast what the exchange rate up to 6 months in the future
A look at our data We gathered monthly exchange rate data from from May 2000 to May We gathered monthly exchange rate data from from May 2000 to May 2011.
A Trace of the Data
Things to note Substantial drop for the U.S dollar compared to the Euro from 2002 to 2008 Substantial drop for the U.S dollar compared to the Euro from 2002 to 2008 Reasons: September 11, The war in Iraq and Afghanistan, the housing bubble and the U.S. accumulation of massive debt. Reasons: September 11, The war in Iraq and Afghanistan, the housing bubble and the U.S. accumulation of massive debt.
The Histogram
The Correllogram
Unit Root test
What does this all mean The trace is evolutionary The trace is evolutionary In order to forecast or to have a meaningful forecast we need to make the data stationary In order to forecast or to have a meaningful forecast we need to make the data stationary We were able to make the data stationary by using the box jenkins method We were able to make the data stationary by using the box jenkins method
Step 1: First differencing
Whitened Histogram
The Whitened Correllogram
Whitened Unit Root Test
Alternate Models
Building our Final Model We decided to use an intervention model due to the drastic drop in the exchange rate in 2002 We decided to use an intervention model due to the drastic drop in the exchange rate in 2002
The Step Function Normal and First Differenced
We begin to make our final model
Actual Fitted Residual and histogram
Serial Correlation Test and Correllogram
Looking for Heteroskidasticity
Adding a MA(23)
The Correllogram
Add an MA(26)
Actual Fitted Residual and Histogram of Residuals
Correllogram of residuals and Serial Correlation Test
Time to forecast 6 month whitened forecast 6 month whitened forecast
Forecasted Values
Forecasting 6 Months Previous
Forecasted Values for Previous 6 Months
Re-colored Forecast for Following 6 Months
Re-Colored Forecast for Previous 6 Months
Just because We decided to forecast using exponential smoothing and see how are model would look We decided to forecast using exponential smoothing and see how are model would look
Results Exponential Model is very close to what our final model determined Exponential Model is very close to what our final model determined We will have to wait and see if our forecasts are correct We will have to wait and see if our forecasts are correct
Thank you!!