At 0645 GMT, the rand traded at 13.3050 per dollar, 0.63 percent firmer from its New York close on Monday.

Most Asian currencies climbed against the dollar on Tuesday on easing in tensions over the Korean peninsula.

US President Donald Trump on Monday opened the door to meeting North Korea's Kim Jong Un, saying he would be honoured to meet the young leader under the right circumstances, even as Pyongyang suggested it would continue its nuclear weapons tests.

Stocks were set to open higher at 0700 GMT, with the JSE securities exchange's Top-40 futures index up 0.41 percent.

In fixed income, the yield for the benchmark government bond due in 2026 fell 0.5 basis points to 8.7 percent.