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A good cap will minimize exposure to water of the brick work under it, thereby increasing your long term cost savings. It will cost you $300 to $500 to purchase the cap and rent a hoist and safety harness to get the cap on top of the chimney. A mason or bricklayer will charge $1,000 to $1,500 to do the job.
I had such a repair done to my almost 100 year old chimney for about $300. He tuckpointed and replaced bricks that had fallen off the top course or two. We had the fallen bricks for him to use. I would have done it myself, but I was afraid to climb to the top of our very steep roof.