Scaling analysis on Indian foreign exchange market

In this paper, we investigate the scaling behavior of the average daily exchange rate returns of the Indian Rupee against four foreign currencies: namely, US Dollar, Euro, Great Britain Pound and Japanese Yen. The average daily exchange rate return of the Indian Rupee against US Dollar is found to exhibit a persistent scaling behavior and follow Levy stable distribution. On the contrary, the average daily exchange rate returns of the other three foreign currencies do not show persistency or antipersistency and follow Gaussian distribution.