Wal-Mart Stores Inc.’s four-part, $5 billion bond offering jumped in the first day of trading, according to Trace, the bond-price reporting system of the Financial Industry Regulatory Authority.

The world’s largest retailer’s $1.25 billion of 5 percent securities due in October 2040 were the most-traded corporate bonds as of 11:34 a.m. in New York and rose more than those Wal- mart sold with shorter maturity dates. They climbed 1.25 cents to 99.6 cents on the dollar, Trace data show.

The Bentonville, Arkansas-based company’s $1.75 billion of 3.25 percent bonds due in October 2020 increased 0.04 cent to 99.66 cents on the dollar and its $1.25 billion of 1.5 percent notes due in October 2015 rose 0.17 cent to 99.63 cents. Wal- Mart’s $750 million of 0.75 percent debt due in October 2013 rose 0.22 cent to 99.88 cents on the dollar, Trace data show.

The company’s three- and five-year notes were issued with the lowest coupons on record, according to Bank of America Corp., which helped manage the sale yesterday with Barclays Plc and Goldman Sachs Group Inc.