The simple answer to your question is unfortunately, no. Let me explain. When you look to secure financing on a new home purchase, the lender is going to calculate your Loan To Value (LTV), by using either the purchase price of the home, or the appraised value - whichever of these two figures is lower, is the one they use. Point in fact a home buyer cannot get cash out of a property they do not already own.

Another solution some try to get around this with is a seller credit. If you were to get a seller credit for 10,000 and only use 5,000 in closing costs, you will not get a check for 5,000 at closing for the remaining credit, that unused credit is returned to the seller.

Bottom line, do not expect to successsfully borrow more than the purchase price just becuase it appraises for more, it will not happen, unless you take out a rehab loan, and in doing so the cash out would have to be used to fix specific and pre-identified home repairs.

No, you can not borrow more then the amount you pay to purchase a home with a traditional lender ( i.e. banks and credit unions)  through a purchase of a new home even if the appraisal comes in higher than what you are buying it for. A lender will always use the sales price as the value when purchasing a property. They will require a 12 month seasoning period ( the waiting period lenders require where 12 payments have been made on the loan) of the new purchase. The only exception is where there are capital improvements on the property that affect the value: and in that case the lender will use the lesser of the costs of improvements made or the appraised value.

If this home is in need of many repairs and improvements however, this could be a great home to obtain a renovation loan or an FHA 203k (FHA's version of a renovation loan) as you should have the value to support the repairs-improvements.

Unfortunately no, appraised value is only used to support the purchase price.  Purchase price is what dictates the Loan to Value ratios aka LTV's.  Therefore, your loan will be based upon purchase price and not the appraised value of the property you are looking at purchasing.  Remember, value is only what someone will pay for a good, not the same thing as worth. There are so many guideline changes and lenders leaving the market place, you are now limited to the availability of loan products.

Depending on the lender, you may be able to withdraw equity in the form of a second mortgage.  Both Conventional and FHA mortgages are going to require you to be in the home 12 months before you are able to cash out the equity, even then you are going to be capped at the current 85% LTV.

Short answer... no most of the time.

Long answer... sometimes yes but most lenders limit your mortgage to a percentage of the purchase price or appraised value which ever is lower at the time of acquisition. There are exeptions to this rule... they are generally for reahabilitation of the subject property these are known as "rehab or 203k" loans. Another option is for a construction loan. This type of loan would again only allow money for improvements to the property. This type of loan is done when the property will have major construction done generally including an addition to the structure (s) on the property.