The Caribbean was whipped by two hurricanes last year--Irma and Maria. But even those islands that were most affected by the storms are open for business and asking tourists to return.

Right now, the National Oceanic and Atmospheric Administration is predicting a near-normal hurricane season for the Atlantic region, which includes the North Atlantic Ocean, Caribbean Sea, and Gulf of Mexico.

Hurricane season runs from May 1 to Nov. 30.

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Peak summer travel season is on the horizon, and some Caribbean islands and hotels are trying to assuage people's concerns by offering "hurricane guarantees."

"The Caribbean remains as vibrant and welcoming as ever. We're projecting a year-over-year increase in visitor arrivals for (the fourth quarter), which speaks volumes to consumer confidence in the region," says Hugh Riley, secretary general of the Caribbean Tourism Organization.

The Cayman Islands Department of Tourism has launched a "Worry Free Hurricane Guarantee," a promise made by its partners on the islands to cover any cancellations made before arrival and compensation if vacation time is cut short due to bad weather.