I don't know if Amazon still does this without looking, but at upload, they showed a graph of likely sales at differing price points for similar books.
I think that this showed that at some level, though not the only consideration, readers have price points in certain numbers. Some will only download free, some 99c and some $2.99 and above in increments. $2.99 always seemed to me the retail that had more attention in likely numbers of sales, but that could just have been my genre.
Saying that, readers will also be influenced by other pricing of books on your also bought list. As an example, if you have a perma free or a 99c book., then it is likely your also bought list will likely be of a similar prices. This makes it difficult to say increase it to $4.99 for it to be effective right away while there are similar books on your also bought list at lower prices on your sales page, that is until you get sales that populate at a higher price. Perception of quality has to come into it somewhere along the line.
If you are say using Amazon sponsored ads, then it is better if you increase your price to target manually books of the same or a higher price so that you stand a better chance of having similar priced books on your "Customers also viewed", or your "also bought" list.
If you are enrolled in KU, then raising the price makes more sense, as readers will look to extract as much value as possible from their subscription. A book at $4.99 is more likely to do that than a book at 99c. The negative side to that is for say a 90,000 word book you will only get around $2 in royalty from page reads for a book priced at $4.99, which is the equivalent of selling the book at $2.99.
Just my observation and opinion.