The weighted-average risk-free rates used to discount the gross claim liability and gross potential recoveries were as  follows, as of the dates indicated: December 31, 2012 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.00% December 31, 2011 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.80% December 31, 2010 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.69% December 31, 2009 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.81% The carrying value of our long-term debt at  December 31, 2012 and 2011 was as follows:  December 31, (In thousands)  2012 2011 5.625% Senior Notes due 2013. . . . . . . . . . . . . . . . . . $ 79,449 $ 252,267 5.375% Senior Notes due 2015. . . . . . . . . . . . . . . . . . 249,868 249,819 3.000% Convertible Senior Notes due 2017. . . . . . . . 334,254 316,498 Total long-term debt. . . . . . . . . . . . . . . . . . . . $ 663,571 $ 818,584 In February 2003, we issued $250 million of unsecured senior notes. These notes bear interest at the rate of  5.625% per  annum, payable semi-annually on February 15 and  August 15. In April 2004, we entered into interest-rate swap contracts that  effectively converted the interest rate on this fixed-rate debt to a variable rate based on a spread over the six-month London  Interbank Offered Rate (LIBOR). We terminated these swaps in January 2008. The basis adjustment of $11.5 million that  resulted from the interest-rate swaps, and that was recorded as an increase to the long-term debt carrying value, was amortized  to interest expense over the remaining term of the debt. On February 23, 2012, Radian Group commenced a “Modified Dutch  Auction” tender offer (the “Tender Offer”) to  purchase a portion of its outstanding 2013 Notes.  We acquired $146.5 million in aggregate principal amount of the 2013 Notes  as a result of the Tender Offer for a price of  $900 per $1,000 principal amount of Notes, which represented  59% of the principal  amount of the 2013 Notes outstanding.  The transaction resulted in a realized gain of  $15.2 million, representing the excess of  carrying value over the purchase price. During the second and third quarters of 2012, Radian Group purchased an additional  $24.1 million in aggregate principal amount of the outstanding 2013 Notes resulting in an additional gain of  $1.0 million. We  repaid the remaining outstanding balance of  $79.4 million of the 2013 Notes upon maturity on February 15, 2013. 236 13. Long-Term Debt  Radian Group Inc. Notes to Consolidated Financial Statements - (Continued)