Home-equity lending has quietly begun to rebound in 2013 as firmer house prices give homeowners more to borrow against and rising mortgage rates diminish the appeal of refinancing. According to revised Inside Mortgage Finance estimates, a total of $43.5 billion of home-equity lines of credit and closed-end second mortgages were originated during the first nine months of this year. That was up 30.8 percent from the same period in 2012 and it included a hefty 13.3 percent increase from the second to the third quarter of this year. The increase in HEL production so far hasn’t turned...[Includes three data charts]