This analyis looks at testing various time-series tool to predict future movements in the value of the Japanese yen versus the U.S. dollar.

The time-series forecasting file contains historical Dollar-Yen exchange rate futures data. I perform the following tasks:

• Decomposition using a Hodrick-Prescott Filter (Decompose the Settle price into trend and noise).
• Forecasting Returns using an ARMA Model.
• Forecasting the Settle Price using an ARIMA Model.
• Forecasting Volatility with GARCH.

The linear regression forecasting file uses Scikit_Learn to predict Yen futures returns with lagged Yen futures returns by performing the following tasks:

• Fitting a Linear Regression Model.
• Making predictions using the testing data.
• Out-of-sample performance.
• In-sample performance.

The model performs better on the out-of-sample data compared to the in-sample data. This is evidenced by the in-sample RMSE being ~0.57 compared to the out-of-sample RMSE being lower at ~0.42.