How Property Condition Affects Your Offer
Since you have toured the  property you are interested in, you should know how it compares to the  general neighborhood. All you have to do is put the home in one of three  categories - average, above average, or below average.
When evaluating a home’s  condition, there are a number of things you should consider. Structural  condition is most important - items such as walls, ceilings, floors,  doors and windows. Then paint, carpets, and floor coverings. Pay special  attention to bathrooms and bedrooms and whether the plumbing and  electricity work efficiently. Look at the fixtures, such as light  switches, doorknobs, and drawer handles. The front and back yards should  be in reasonably good shape.
The missing ingredient  will be information on the condition of the homes from your comparable  sales list. Provided you chose the right agent to represent you, they  will have actually visited most of those homes and be able to provide  key insights.
How Home Improvements Affect Your Offer Price
Even when comparing exact model matches within a tract of homes, you should note whether the previous owners have made any substantial improvements. Cosmetic changes should be largely ignored, but major improvements should be taken into account. Most important would be room additions, especially bedrooms and bathrooms. Other items, like expensive floor tile or swimming pools should be taken into account, too, but should be discounted. A pool that costs $20,000 to install does not normally add $20,000 in value to the home. Rely on your agent to give you guidance in this area.
How Market Conditions Affect Your Offer Price
A hot market is a  "seller’s market." During a seller’s market, properties  can sell within a few days of being listed and there are often multiple  offers. Sometimes homes even sell above the asking price.  Though most buyer’s want to get a "deal" on a home, reducing  your offer by even a few thousand dollars could mean that someone else  will get the home you desire.
A slow market is a  "buyer’s market. During a buyer’s market properties may  languish on the market for some time and offers may be few and far  between. Prices may even decline temporarily. Such a market would allow  you to be more flexible in offering a lower price for the home. Even if  your offered price is too low, the seller is likely to make some sort of  counter-offer and you can begin negotiations in earnest.
More often than not, the  market is simply "steady," or in transition. When a market is  steady, no real rules apply on whether you should make an offer on the  high end of your range or the low end. You could find yourself in a situation with multiple offers on your desired house, or where no one  has made an offer in weeks.
Transition markets are  more difficult to define. If the economy slows unexpectedly, as it did  in the early nineties, people who buy on the high end of a seller’s  market (like the late eighties) could find their home loses value for several years. So far, no one has proven reliable in predicting when  markets change or how good or bad the real estate market will become.
How Seller Motivation Affects Your Offer Price
Truthfully, it is rather  rare that a seller’s motivation will dramatically affect the price of  a home, but it is often possible to save a few thousand dollars. The  most common "motivated seller" is someone who has already  bought his or her next home or is relocating to a new area. They will be  under the gun to sell the home quickly or face the prospect of making  two mortgage payments at the same time. Since that can drain a bank  account quickly, most sellers want to avoid such a situation and may be  willing to give up a few thousand dollars to avoid the possibility.
There are also family  crises that can motivate a seller to make a quick deal. However, when  you see a real estate ad that mentions "divorce,"  "motivated seller," "relocation," or something to  that affect, beware. Although the facts may be true, that does not  necessarily mean the seller is motivated to make a quick and costly  sale. Most likely, the ad is more designed to generate phone calls and  leads rather than sell the home.
However, there are times  when a seller is truly distressed, willing to make a quick sale and  sacrifice thousands of dollars. With the seller’s permission, the  listing agent will post this information along with the listing in the  Multiple Listing Service. They may also inform other agents during  office and association marketing sessions or by flyers sent to other  real estate offices. Provided this information has been made generally  available to Realtors, your agent should know when a seller is truly  motivated and when it is just "puff" designed to illicit  interest in a property.
The exception is when an  agent is selling a home they have listed themselves or selling a home  that was listed by another agent from their own company. In such a  situation, the agent may be acting as an agent for the seller, or as a  "dual agent," representing both you and the seller. In such a  situation, they cannot legally provide you with information that would  give you an advantage over the seller.
The Final Decision on Your Offer Price
Comparable sales  information helps you to determine a base price range for a particular  home. Adding in the various factors like property condition,  improvements, market conditions, and seller motivation help determine whether a "fair" price would be at the upper limit of that  range or the lower limit. Perhaps you will feel a fair price is outside  of that price range.
The "fair"  price should be approximately what you are willing to agree on at the end  of negotiations with the seller. The price you put in your offer  to begin negotiations is totally up to you and depends on  your negotiating style. Most buyers start off somewhat lower than the  price they eventually want to pay.
Although your agent may  provide advice and guidance, you are the one who makes the decision. The  price you put in the offer is totally up to you.