Definition: Initial Trade Price
For a Position
It is the quantity-weighted price of the Transactions opened on the first day of the Position. Simply put, it's your original trade price of the package that you saw when entering the order in your trading platform.
Often times people like to calculate their profit target/loss on the initial trade price (cost basis), so this lets you quickly calculate what that would be.
For example: selling a Strangle for $1.00 and then rolling the call side for a $0.25 credit would result in an Initial Trade Price of $1.00 and Cumulative Cost Basis of $1.25. If you are aiming to take 50% of your original credit, you'd know at a glance that the target should be $0.50, and then apply that to the Cumulative Cost Basis to get a target exit price of $0.75 ($1.25 - $0.50).
This is labeled "Orig. Cost" on Closed Positions page - same number.
For a Leg
The quantity-weighted price of the Transactions opened on the first day of this Leg.
For a Transaction
The order price.