According to Moz “Domain Authority vs. Page Authority
Whereas Domain Authority measures the predictive ranking strength of entire domains or subdomains, Page Authority measures the strength of individual page. The same is true for metrics such as MozRank and MozTrust.”
The fact remains that a domain with higher authority will pass on more authority to a newly created page, once re-indexation has taken place and the new page has a good number of internal links pointing to it.
Hence it is always advantageous to have a higher domain authority as it will enable a new page to rank faster and higher in the search engines at least in the initial stages compared to a website with lower domain authority.