Coty Inc. Replay the stock market charts of COTY day by day back to 2003. Open long and short positions without spending any money. Coty Inc is an American cosmetics company. Its products include fragrances, color cosmetics, hair, body and skin care products. The company markets its products under Calvin Klein, Chloe, Clairol, Marc Jacobs, Wella, Rimmel, and Bourjois brands worldwide.