Some exotics are excellent climbers and jumpers, requiring tall, sturdy fencing, like the red kangaroo that can jump six feet high. Exotic pet ownership can also be expensive. On average, it costs up to $6,000 a year to care for an adult tiger in captivity.A mountain lion needs to eat 8-10 pounds of meat per day in order to survive. And buying an exotic pet can be a long-time commitment.A zebra can live 25 years, an American alligator up to 50 years, and a chimpanzee as long as a human.ome exotics are excellent climbers and jumpers, requiring tall, sturdy fencing, like the red kangaroo that can jump six feet high. Exotic pet ownership can also be expensive. On average, it costs up to $6,000 a year to care for an adult tiger in captivity.