Regarding the prior sale, the property was listed at $1,100,000.
There was no appraisal of the property prior to people making offers, so appraisal valuation had no impact on what potential buyers thought the property was worth.
The property needed a significant amount of work. Disclosure package mentioned "lower level not performed with benefit of permits." All potential buyers new this.
Disclosures also mentioned active leaking windows, in places the walls had "carpet underpadding" staple-gunned onto them as some form of decoration (or a cheap manner of covering the large holes in the plaster, some as large as 3 ft diameter). the flooring was a mishmash of crap. Many of the other walls had large holes. The staircase to the finished attic was very steep and potentially dangerous for little kids (this is the third level of the house, not one of the two main levels. The finished attic is ~1000 sq-ft, constructed to a minimal level of quality. We use it nicely for 2 bedrooms, my 11-year old son and a live-in nanny. it has windows, carpeting, electrical, heat, etc. There was no credit in the appraisal for additional finished attic area, but i'm not going to sweat that).
The house had likely not been well maintained for 20 years.
Three offers were received, all 3 below the asking price, and all 3 > $1,000,000.
This was 4 years ago.
Ours was the highest offer and selected. Inspections showed foundation work was needed, fireplace unsafe, electrical box not proper, leak from the front raised entryway to room below, etc. The eventual agreed to price was $1,005,000.
The appraisal was then done, and showed a value of ... (wait for it) ... $1,005,000 - exactly the purchase price! Remember those days?
We spent the first month having the place fixed up with variety of contractors, repairing staircase, replacing windows, hardwood floors throughout on two main levels, repair walls & ceilings & paint throughout, replace light & plumbing fixtures, add solid wood doors, etc. you get the point. later had the foundation work done. All told spent almost ~$70,000 improving the property.
The market at that time thought the property was worth > $1,000,000, even with significant work needed (every offer, 3 of them, in this range).
To summarize, the appraisal had no effect on what the market thought the property was worth, did not "distort" the perceived value. I think the best test of value is determined by what price a group of people are willing to spend.
Gavin