This exemption lasts up to four years. Application Due Date: No application is required.Join us for a workshop to learn about the Cook County Assessor's Office and homeowner exemptions. Determine your home's current market value. For information and to apply for this homestead exemption, contact the Cook County Assessor's Office. Link to obtain further information about the various exemptions that are offered, the documents and filing process required for each exemption to be claimed. To apply, contact the Cook County Treasurer's Office at 312.443.5100. Disabled Veteran Homestead Exemption. Though all property is assessed, not all of it is taxable. See a list of common property tax exemptions in New York State.