Is a closed rhinoplasty price different from an open?

Hello, and thank you for your question!
Different surgeons will have different opinions depending on their experience and training.  My opinion is that there is rarely if ever a need to "open" the nose.  A closed approach allows the experienced surgeon complete access to all structures and excellent visualization.  The advantages include a much more vascularized nose ( two big arteries reside in the columella), better tissue envelope to support grafting (which you will need), avoidance of external scarring/notching and very importantly it leaves the lip-columella-tip relationship intact during surgery, allowing the surgeon to more accurately evaluate the aesthetics of the intervention.  It is true that open rhinoplasty is much much easier and requires less technical expertise.  The open approach is much better for training and demonstration purposes.  Personally having trained with world class craniofacial and aesthetic surgeons such as Fernando Ortiz-Monasterio and Molina I adopted their bias that opening the nose is not necessary( outside of reconstructive cleft work etc. ) and is negatively affects healing, graft take and ability to accurately judge the intraoperative result.  Having extensive experience with Mestiso and ethnic rhinoplasty I would suggest you find someone with similar craniofacial and ethnic experience as your rhinoplasty will require advanced grafting technique.
 I hope this helps!
All the best,
Dr. Rian A. Maercks, M.D.

There is no right or wrong approach for rhinoplasty, there are pros and cons of each.  There are different philosophies about rhinoplasty which tend to be reflected in the different approaches.  The important thing is for you and your surgeon to agree your goals.  There are I am afraid limitations to what can be achieved both open and closed.  I recommend you talk to your surgeon to understand why the approach used was chosen.  This may put your mind at rest.