BNP Paribas’ ownership stake in First Hawaiian Bank has gotten a little smaller.

The French banking giant, which held a secondary stock offering earlier this month, saw its stake in holding company First Hawaiian Inc. dip to 62 percent after underwriters of the offering exercised their option to purchase an additional 3.75 million shares at $32 a share. The transaction closed today.

At one time, BNP owned 100 percent of the state’s largest bank. But that stake dropped to 64.6 percent on Feb. 6 when BNP raised $800 million after selling 25 million shares of holding company First Hawaiian, also at $32 a share.

Goldman Sachs & Co.; BofA Merrill Lynch; J.P. Morgan; BNP Paribas; Barclays; Citigroup; Credit Suisse; Deutsche Bank Securities; and Keefe, Bruyette & Woods were the underwriters of the offering.

First Hawaiian, which held its initial public offering in August at $23 a share, saw its stock slip 18 cents, or 0.6 percent, to $32.02 today.