The Chinese yuan weakened against the U.S. dollar in the Asian session on Tuesday.

Data from the National Bureau of Statistics showed that the manufacturing sector in China continued to contract in November and at a faster rate, with a PMI score of 49.6. That missed forecasts for a score of 49.8, which would have been unchanged from the October reading.

A separate survey from Caixin also showed that China's manufacturing sector continued to contract in November, but at a slower pace, with a PMI score of 48.6. That beat forecasts for a reading of 48.3, which would have been unchanged from the October reading.

Monday, the IMF approved Chinese yuan's inclusion in the SDR basket of currencies.

Against the greenback, the yuan fell to more than a 3-month low of 6.3980 from yesterday's closing value of 6.3875.

If the yuan extends its downtrend, it is likely to find support around the 6.42 area.

The People Bank of China set today's central parity rate for yuan at 6.3973 per dollar, compared to Monday's reference rate of 6.3962. The central bank sets the reference rate every morning and allows the currency to move upto 2 percent from that level.

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