To determine what you will pay for Damascus caulking you need a professional estimate of the services that you are looking for. First, the contractor will need to look at the cost of the local material that is being used. If there is any equipment that will be used during this process, your contractors will often include the cost of getting the equipment to the job site, such as transportation and any other relevant cost. Another cost that will have to be factored in is the cost of preparing the work site for exterior caulking. These you can discuss with the contractors, and they will also include the cost of protecting pre-existing components, materials and finishes or structures.