Alan Greenspan couldn't control long-term interest rates a decade ago, and bond investors are betting Janet Yellen's luck will be no better.

When then-Federal Reserve Chairman Greenspan raised the benchmark overnight rate from 2004 to 2006, long-term borrowing costs failed to increase, thwarting his attempts to tighten credit and curb excesses that contributed to the worst financial crisis in 80 years.

“We wanted to control the federal funds rate but ran into trouble because long-term rates did not, as they always had previously, respond to the rise in short-term rates,” Greenspan said in an interview last week. He called this a “conundrum” during congressional testimony in 2005.