Hi Brennon,
There are certainly many different styles of Private Lenders as well as Hard Money Brokers with varying lending criteria. We judge the term of the loan by the amount of repairs to be done, DOM, and permit process. Longer loans get very expensive.
Generally, in our experience, we have found that HMBs will lend 65%-80% of purchase price and Private Lenders lend up to 65-70% of the ARV, on a second. The funding for new construction loans has usually been only about 50% of the purchase price and entitlement costs, we have found. As Jon mentioned, we are one of the many lenders who rolls all of the points and interest payments in to the loan. Other Private Lenders ask for monthly interest payments.
Requirements for cash in by the borrower and/or cross collateral varies as well. It appears almost all lenders ask for some cash in by the borrower to make sure that the borrower is committed to the project until the end. I have seen at least 5%-20% cash in required by both PLs and HMBs.
Second position loans, being riskier, are usually more expensive. However, they are necessary if you do not have enough cash or wish to use less cash of your own.
Also, some lenders ask for shared appreciation on the back end, usually for the second position loan (gap or bridge). Others do not, but may ask for higher interest payments or back-end points.
I suggest you just call around, as there is no consistent practice for lending. Loan practices also vary by location.