AMBAR WARRICK SOUTH Africa's rand and Russia's rouble rose as most other emerging market currencies were muted against the dollar, while stocks inched up to a record high on continued optimism over easy monetary policy and stimulus measures The MSCI's index of emerging market equities rose 0.1% to hit a record high for a second consecutive session, with most bourses in Europe, the Middle East and Africa trading higher. The South African rand rose about 0.6% to the dollar, but stayed within a trading range seen since last week as weak manufacturing data from the country pointed to more economic…