Websites with static pages could be hurting when it comes to SEO, because there is no room to update content. Having a dynamic (constant changing) homepage will allow you to update your page with new promotions, new services, articles, events, etc.
Not only do the search engines love it, but users do to! No one wants to come to a website that looks the exact same as it did this time last year.
Not updating your homepage content or website can over time decrease the number of returning visitors and will slowly increase the decline of the search engines crawling your website.
I recommend trying this out for a month, where you can update your content several times a week and see if your traffic and rankings increase