{"title":"印度外汇(卢比/美元)市场的利差平价套利与远期即期汇率的长期关系——基于Arima (p, d, q)预测的市场效率研究","authors":"S. Sikdar, C. Mukhopadhyay","doi":"10.21648/ARTHAVIJ/2017/V59/I2/164442","DOIUrl":null,"url":null,"abstract":"The study examines the relation that spot exchange rate maintains with contemporaneous and one – month lagged forward rates in the framework of covered interest parity arbitrage in Indian foreign exchange (rupee/dollar) market from 3 rd January, 2011 to 2 nd November, 2015. ARIMA (4, 1, 0) stochastic structure of monthly spot rate (S t ) has been used to generate one – period ahead forecast (S e t+1 ) series. These forecasts are MMSE forecasts and ‘Rational’ by nature. The study shows that one – month lagged forward rate maintains an independent long – run stable relation with spot rate while there exists no co-integrating relation between spot rate and contemporaneous forward rate. One – period lagged forward rate is an optimal forecast of the next period spot rate in the sense that it will be proved wrong only to the extent ofa white noise error term. Risk premium is absent and CIRAP holds in the market such that lagged forward exchange rate on average equals the spot rate in the long – run. There exists no scope for reaping arbitrage profit arising out of the difference between forward rate and corresponding spot rate. This testifies for the ‘efficiency’ of Indian foreign exchange (rupee/dollar) market.","PeriodicalId":84206,"journal":{"name":"Artha vijnana : journal of the Gokhale Institute of Politics and Economics, Poona (India) = Artha vijnana : Gokhale Artha Sastra Samstha Dvara Prakasita Traimesika Patrika","volume":"48 1","pages":"109-138"},"PeriodicalIF":0.0000,"publicationDate":"2017-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Covered Interest Parity Arbitrage and Long-Run Relation between Spot and Forward Rates in Foreign Exchange (Rupee/Dollar) Market in India-Study of Market Efficiency with Arima (p, d, q) Forecasting\",\"authors\":\"S. Sikdar, C. Mukhopadhyay\",\"doi\":\"10.21648/ARTHAVIJ/2017/V59/I2/164442\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The study examines the relation that spot exchange rate maintains with contemporaneous and one – month lagged forward rates in the framework of covered interest parity arbitrage in Indian foreign exchange (rupee/dollar) market from 3 rd January, 2011 to 2 nd November, 2015. ARIMA (4, 1, 0) stochastic structure of monthly spot rate (S t ) has been used to generate one – period ahead forecast (S e t+1 ) series. These forecasts are MMSE forecasts and ‘Rational’ by nature. The study shows that one – month lagged forward rate maintains an independent long – run stable relation with spot rate while there exists no co-integrating relation between spot rate and contemporaneous forward rate. One – period lagged forward rate is an optimal forecast of the next period spot rate in the sense that it will be proved wrong only to the extent ofa white noise error term. Risk premium is absent and CIRAP holds in the market such that lagged forward exchange rate on average equals the spot rate in the long – run. There exists no scope for reaping arbitrage profit arising out of the difference between forward rate and corresponding spot rate. This testifies for the ‘efficiency’ of Indian foreign exchange (rupee/dollar) market.\",\"PeriodicalId\":84206,\"journal\":{\"name\":\"Artha vijnana : journal of the Gokhale Institute of Politics and Economics, Poona (India) = Artha vijnana : Gokhale Artha Sastra Samstha Dvara Prakasita Traimesika Patrika\",\"volume\":\"48 1\",\"pages\":\"109-138\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Artha vijnana : journal of the Gokhale Institute of Politics and Economics, Poona (India) = Artha vijnana : Gokhale Artha Sastra Samstha Dvara Prakasita Traimesika Patrika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21648/ARTHAVIJ/2017/V59/I2/164442\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Artha vijnana : journal of the Gokhale Institute of Politics and Economics, Poona (India) = Artha vijnana : Gokhale Artha Sastra Samstha Dvara Prakasita Traimesika Patrika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21648/ARTHAVIJ/2017/V59/I2/164442","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本研究考察了2011年1月3日至2015年11月2日印度外汇(卢比/美元)市场的利差平价套利框架下,即期汇率与同期和一个月滞后远期利率的关系。利用ARIMA(4,1,0)月度即期汇率(S t)的随机结构,生成了一期预测(S e t+1)序列。这些预测是MMSE预测,本质上是“理性的”。研究表明,一个月滞后远期汇率与即期汇率保持独立的长期稳定关系,而即期汇率与同期远期汇率之间不存在协整关系。一期滞后远期汇率是下一期即期汇率的最优预测,因为只有在白噪声误差项的范围内,它才会被证明是错误的。风险溢价不存在,CIRAP在市场上持有,因此长期滞后远期汇率平均等于即期汇率。不存在从远期汇率与相应即期汇率的差价中获取套利利润的余地。这证明了印度外汇(卢比/美元)市场的“效率”。
Covered Interest Parity Arbitrage and Long-Run Relation between Spot and Forward Rates in Foreign Exchange (Rupee/Dollar) Market in India-Study of Market Efficiency with Arima (p, d, q) Forecasting
The study examines the relation that spot exchange rate maintains with contemporaneous and one – month lagged forward rates in the framework of covered interest parity arbitrage in Indian foreign exchange (rupee/dollar) market from 3 rd January, 2011 to 2 nd November, 2015. ARIMA (4, 1, 0) stochastic structure of monthly spot rate (S t ) has been used to generate one – period ahead forecast (S e t+1 ) series. These forecasts are MMSE forecasts and ‘Rational’ by nature. The study shows that one – month lagged forward rate maintains an independent long – run stable relation with spot rate while there exists no co-integrating relation between spot rate and contemporaneous forward rate. One – period lagged forward rate is an optimal forecast of the next period spot rate in the sense that it will be proved wrong only to the extent ofa white noise error term. Risk premium is absent and CIRAP holds in the market such that lagged forward exchange rate on average equals the spot rate in the long – run. There exists no scope for reaping arbitrage profit arising out of the difference between forward rate and corresponding spot rate. This testifies for the ‘efficiency’ of Indian foreign exchange (rupee/dollar) market.