CANTON, Mass. – Dunkin’ Brands Inc., parent of the Dunkin’ Donuts chain and Baskin-Robbins ice cream shops, said Wednesday that its annual profit fell 23 percent as the costs of refinancing debt offset its sales growth.

The privately held chain of more than 16,000 franchised restaurants said its net income slipped to $26.9 million from $35 million in the fiscal year that ended Dec. 25.

Dunkin’ Brands’ revenue, excluding the portion that franchisees keep, rose 7 percent last year to $577.1 million from $538 million, the company said. Total sales rose nearly 7 percent to $7.7 billion last year.

In November, Dunkin’ Brands completed a refinancing that included a $1.25 billion term loan and $625 million in senior notes. It used the proceeds to repay in full the company’s outstanding securitization debt and related refinancing expenses and to pay shareholders a cash dividend. The company said it recorded a nearly $62 million charge for costs related to erasing debt.