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By 06:50 GMT the rand had slipped 0.23% to R14 per dollar compared to close of R13.98 per dollar on Friday in New York.
The currency fell to R14.18 last week in a risk asset sell-off as the Fed signalled a faster-than-expected pace of interest rate rises in 2017.
In bonds, yield on the government issue due in 2026 fell two basis points to 9%.
Stock futures index up 0.37%, signalling the Johannesburg bourse will open higher when trade resumes at 07:00.
NAMPA/REUTERS