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What does your realtor think is the fair market value of the home? What have comparable homes in your area sold for? How long ago was it relisted at the new price? They've cut their asking price by only 3.5%. That's not much of a discount. Did they counteroffer?
I've read studies that have demonstrated that if I house is overpriced by X% above fair market value, it often sells for X% below the fair market value. This happens because the house sits on the market, attracts no interest, and is stigmatized. The sellers then can't even sell their home for fair market value. I saw this happen in a big way in my neighborhood. I recall a poster here being advised by her realtor to overprice their home, and sure enough, it sat on the market. So if you can figure out the market value, this could give you some guidance about what to offer. Of course, someone else could step in and offer the full asking price.
In the end, however, it's going to be up to you to decide how much you think the home is worth to you. If you really like the house, then an extra $7000 isn't going to matter as much in the long run. If you don't end up getting this home, you'll eventually find another that will make you equally happy.
ETA: I type too slowly.
If the house has been on the market for 14 months and they have onyl dropped the price 3-4% over that time, Either they are living in fantasyland, or they do not have enough equity to drop the house further and still pay realtors/retire the loan. Especially if they did not counter. I would assume tha second of those two or a combination.
I would not pay more than the house is really worth and if it has been on the market that long, it is probably closer to the value you offered than what they are at. What does your realtor say? Does he/she think it is overpriced? Were you guys asking for sellers concession as well? If you were asking for seller to pay closing as well I could see that much of a price drop being unacceptable to them.
We put an offer on a house that has been on the market for about 11 months. The original asking price was $170k. The revised asking price was $159,900. We offered $155k plus $5k in concessions from the seller. They countered $161,400 and accepted concessions. We countered their counter with $161,400 and $6k in concessions. They accepted. So all things being equal, they are "netting" about $155,400 (minus listing expenses of course), which is about 91.4% of original asking price.
There have been no comps sold in the last year within 1 mile. We are still waiting on the results of the appraisal. I hear that it is "in" today but since our LO is on vacation until next week, I don't have any numbers.
The house we are buying has been maintained perfectly. The sellers are the second owners, and have lived there for 30 years. The only thing the inspection showed as deficient is an oak tree that is growing into the side of the house. Thankfully it hasn't pushed into the roof or caused any structural damage. We set a repair cap at $1000 though, up from $500 standard for our area. Therefore I am confident of the purchase, and do think we have an excellent deal.