May 1 (Reuters) – Radian Group Inc posted a second straight quarterly loss, hurt by the change in value of derivatives and other financial instruments, but the mortgage insurer said its risk ratios improved in the quarter.

Radian and its rivals MGIC Investment Corp and Genworth Inc insure home loans when the downpayments are less than 20 percent.

These insurers underwrote millions of mortgages , at low premiums, in the heady days of the housing boom. But the wave of foreclosures unleashed by the crisis, swamped their capital levels and raised their risk ratios.

At the end of the first quarter, Radian Guaranty's risk-to-capital ratio improved to 20.6:1, from 21.5:1 at December 31.

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