Hello guys i'm having the same problem and i have a fix for you since EA can't do sh*t here's how to do:
First you want to download an exe called Windowed Borderless Gaming. Just type this in google and there is a steam post you can download it from there
Now follow these steps because it's a little bit wierd to do
Info: Alt+Enter might not work if you press it quickly so hold it a bit till it goes into windowed mode
First open WindowedBorderlessGaming.exe
Secondly open the game
Press Alt+Enter to enter windowed (I don't know if this step works because i did it by going into game and changing the option in black screen then alt-tab to check if i'm on the right option since you can see the game when you alt-tab in window.If it doesn't work just do what i did)
After game is in window mode it should cover your whole screen in window. If it doesn't, alt+enter againg and when it's black alt+enter again to go to windowed mode.(This should make the game cover your whole screen in window mode)
After you've done everything above you should have your game in windowed mode covering your whole screen
Now open borderless mode program from icons which is located to the left of your clock bottom right of the screen
Right-Click-> Add window it should add the game. I don't know if it adds games' automatically at first run so just do it.
Right-Click again and press open game settings. You should gave something like Title:Need for Speed... under Section if you don't have it try to open the game window (select the window) and press F3.
After that just click Apply button and your game should be borderless and NOT black screen. You don't need to enter anything into posX posY etc.
But if you have any problems with it
posX means how much pixels it will be far from top-left of the screen in X coordinate if it is positive it goes right
posY means how much pixels it will be far from top-left of the screen in Y coordinate if it is positive it goes down
And you already know what resolution does
And lastly after you made it in options change option fullscreen to windowed.
If you do this game will probably start in small window when you run it again so just alt+enter to make it fullscreen and press alt+enter again it will cover your whole screen.And then apply game settings.
If you have questions i'll try to follow the post.