trading – how crypto exchange calculating new coin price like examplecoin?

hello everyone i have one question regarding exchange pricing thing i want to know if any exchange is listing new coin which is not exist in the market so how they are maintain price for that coin.
Ex:if i have one new i want to list in any exchange for 2 dollars after that how ASK , BID price is working .

what is im thinking is its all depend on users lets say im holding all value for my coin so i put order for 10 dollars and its on other account i just buy the same amount 10 dollar then my coin price become 10 dollars? or is there any formula to calculate the avg and any formulate which provide us the price ?

kindly help me to solve this issue