Prediction of Exchange rates has been a challenging task for traders and practitioners in modern financial markets. Statistical and econometric models are extensively used in the analysis and prediction of foreign exchange rates. This paper investigates the behavior of daily exchange rates of the Indian Rupee (INR) against the United States Dollar (USD), British Pound (GBP), Euro (EUR) and Japanese Yen (JPY). This paper attempts to examine the performance of ARIMA, Neural Network and Fuzzy neuron models in forecasting the currencies traded in Indian foreign exchange markets. Daily RBI reference exchange rates from January 2010-April 2015 were used for the analysis.