I can tell they are not as nice, but it's still a huge disparity for anyone searching the market.The nicest house in an average neighborhood will not rent for as much as an average home in the nicest neighborhood. 

I am planning to buy a house in Bronx, close to the city, I found a single family house 1 and 1/2 bathroom, 3 bedroom, finished basement, garage, and yard,The house looks in really good condition, I already made an offer for 570.000, in melrose Bronx, I know this is not a safe neighborhood, but I do believe the house will appreciate and also I think I could easily rent it since it’s close to the subway,What do you guys think, will a house in melrose Bronx will appreciate it, taking into account it is close to projects and it’s in melrose? 

I know I could drive all over the place and price shop and save money, buy my free time is worth more than the savings- most of the time. 

(I would recommend strongly against giving her a reason.)As far as ethics, I would say it's MORE ethical to give her the boot, out of consideration for your other tenants and the neighborhood at large.

There are a lot of investors out there that take a lot and don't create the best places to live or contribute greatly to neighborhoods.

Class A would be all good/great categories in this regard and Class D would refer to the worst/bad properties in those neighborhoods.  

Sometimes this stems from using brokers who have to go shop for loans and do not fully qualify a project prior to issuing a term sheet or a borrower not being fully truthful about themselves or project.

We'd really like to move back to downtown and our house is about 15 minutes away in a good neighborhood.

If I were in your shoes I would just shop it around.

The PM is going to manage the property long-term, so they want to ensure you buy something that is in demand, we maintained, in a good neighborhood, etc.