The four private mortgage insurers that survived the housing market collapse reported a combined $38.3 million in net income during the second quarter of 2013, the first positive result for the group since the second quarter of 2007, according to a new Inside Mortgage Finance analysis. Over that time, the four firms racked up a staggering $19.23 billion in losses, watched three competitors go down the drain, cobbled together various regulatory compliance strategies to stay in business and saw a huge chunk of the market get gobbled up by the FHA. But one new entrant gained...[Includes two data charts]