Hello Lidia, are your offers being accepted? usually if your agent is advising you not to put such a low offer, it means that his expertise is telling them that the offer is unreasonable based on market comparable sales. When i work with buyers and they see a house they like, i normally do a CMA for them to see what a FAIR price is for the house. There are certain situations where the house is priced right, and it would not be worth it to offer even a dollar below asking... Many of my listings actually sell above asking price. At the end of the day, list price means nothing, you need to know what the houses market value is, and the only way to know for sure is for your agent to run a CMA. If after the CMA you still want to present a low offer, then it is up to your agent to do his or her best to get it accepted, regardless.