"As we transition to a stronger consumer confidence environment, that shift can go to new timeshare buyers," said Robert LaFleur, lodging analyst at JMP Securities. "It's really a question of how much money is left in your wallet. (You're) less anxious about spending on luxuries—things you don't need, but are nice to have."
JMP has a "buy" rating on Marriott Vacations Worldwide, as well as most major hotel operators.
Marriott Vacations spun off from Marriott International in November 2011. Its bigger brother also performed well in the search, posting median gains of 9.9 percent after a gasoline price drop. What's more, the stock is almost a sure thing to trade higher in the three months following a slide in gas prices, trading higher on 71 percent of those occasions.
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The casino and luxury hotel operator Wynn Resorts posted a median return of 14 percent over the same time frame, trading in the green 71 percent of the time during those three months.
Priceline.com posted a whopping median return of 17 percent following gasoline corrections, with positive trades 76 percent of the time, the search found.
RBOB gasoline futures closed down 3 percent at $1.82 on Tuesday, a 34 percent decline from September and far from the 2014's peak price of $3.13 a gallon in June. With oil trading at five-year lows, gasoline prices are expected to stay relatively low, analysts said.
Marriott Vacations shares are up 24 percent already over the last three months, but the Kensho study indicates the stock could have more room to run in the next three months when the higher demand from falling gas prices shows up in the company's earnings results.
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Shares of Priceline.com and Wynn are both lower over the last three months so the drop in gas prices should be a tailwind for the stocks, if history is any guide.
CNBC's parent NBCUniversal is a minority investor in Kensho.