Different companies offer different kinds of Cost of Living Adjustments (COLA)s. Where you move to and from makes a difference too. Some companies offer increased construction salary to cover regional differences. Some will offer points on the mortgage in the new area. Some will offer to actually cover the cost difference between houses of "same standard of living." Usually, these kinds of changes are also attached to contractual language that binds the employee to the construction employer for a period of time in order to realize the value of the transfer costs.