Nascar Holdings Inc. agreed to buy International Speedway Corp. for about $2 billion in cash, more tightly combining two companies already controlled by the France family.

Nascar raised its price to clinch the deal for the owner of famous stock-car racing venues including the Daytona International Speedway in Florida and the Talladega Superspeedway in Alabama. International Speedway shareholders will get $45 a share under the agreement announced Wednesday, up from a $42 offer in November.

The idea at the time was to combine the companies as a privately held group, with the France family as the primary owners. Jim France is chairman of International Speedway and chief executive officer of Nascar.

International Speedway shares were halted Wednesday. The $45 price is 2% above Tuesday closing price of $44.10. The stock, which traded as low as $35.18 in October last year, jumped into that range when Nascar disclosed its November bid.

Dean Bradley Osborne Partners advised International Speedway’s special committee considering the deal, which the parties expect to close this year. Goldman Sachs Group Inc. advised Nascar.

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