Disclosing budget when prospecting for sellers

[Francis Woods]

Hey folks,

First of all thanks for this incredible resource and forum, it has been very helpful in getting me to this point. 

My situation is that I am a motivated buyer in a deeply competitive market looking for deals outside of the MLS. I've found a few leads and am figuring out how to craft my initial outreach by email or letter.

One big question I have is should I disclose my budget or any numbers in that initial contact? On one hand I feel that including a number might grab their attention more, and if they're truly motivated might lead them to pick up the phone. On other hand if I low-ball them too much it could be off-putting and if I disclose my actual range, I might lose power to get a good deal in any potential negotiation.

Any tips or advice on this topic?

Thanks so much!

Francis