USD Dollar vs INR and Nifty Returns
The US Dollar index was up by 5 per cent in the last two months ending May 15, 2018, and against rupee, it was up by 4.5 per cent. It is the highest level that the greenback has achieved since the start of the year. A higher US Dollar usually is a warning bell for the Indian equity market. One of the common pearls of wisdom prevalent in the equity market is strengthening of the US dollar against the Indian rupee is a negative news for the equity market. The reason being, in the past on various occasions they both have moved in opposite directions. The best recent example that supports this theory is the drastic fall in the value of Indian rupee in the year 2013 due to US Fed’s tapering tantrum. It was accompanied by a sharp fall in the Indian bellwether indices Nifty and Sensex.
To understand the relation between US Dollar index (proxy to the strengthening of US Dollar) and Nifty, we plotted the last nine-year data to identify if there exists a relation between both the indices.
![](data:image/png;base64,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)
If you look at the last nine years data, nothing concrete comes out of it and you can conclude nothing. Since April 2009, US dollar has appreciated by approximately 10 per cent while Nifty has gone up by a huge 208 per cent. If this is the case, why should the market worry about the rising dollar or weakening rupee?
To understand it in a better way, we analysed the correlation coefficient between weekly returns of Nifty and weekly movement of US Dollar index. For the period between April 2009 and March 2018, there has been a negative correlation between both, and it is not by fluke. Statistically, the correlation between Nifty returns and USD index is significant and is -17.94 per cent.
Scratching the surface further, we found that yearly correlation has changed over the years. Till the mid of 2013, there was a strong negative correlation between Nifty and USD Index. This means that when USD Index went up the equity market represented by Nifty dipped. Similarly, when Dollar went down, the market goes up.
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)
Nonetheless, from the fag end of 2013, there has been a positive relationship between both. The positive relation, however, has come down in a couple of years.
The reason for such shifting correlation is attributed to some fundamental change in the way Nifty constituents have changed over the years. For example, the positive correlation can be explained by the presence of Information technology, Pharmaceutical and some of the auto companies who benefited from the falling rupee or strengthening dollar. Currently, however, financials form a major part of the Nifty, which are least impacted by dollar movement, hence we see a weak correlation now.
Another factor that has led to such weakening relation is the rise of domestic institutional investors (DII) as a prominent equity market player in India. Hence, the importance of Foreign Institutional Investors (FIIs) has somewhat come down. Therefore, any flight of FIIs from the equity market in India is well matched by DIIs.
Therefore, we are witnessing that in the long run rising US Dollar does not make much of an impact to the broader Indian equity market, however, in the shorter term, they continue to have a little impact on the market.