Tested this issue on Windows 7 using chrome latest stable M51-51.0.2704.84 by following steps mentioned below.

1. Navigated to personal banking site
2. Logged in to bank account
3. Closed chrome completely
4. Opened chrome
5. Observed new tab page opened as expected.

Reporter@ - Is this issue seen consistently from your end? Could you please make sure that you have enabled "Open the new tab page" on start up under chrome://settings menu. If yes, please do recheck this issue by creating a new profile under chrome://settings with no apps or extensions in your browser.

Thanks!

Hello,

As i stated in the title, i check if the option for new tab was set.
Just in case i changed it and reapplied that checkbox. Same result.

I don't think this is user related, as we have this issue with all
computers at work, who use the latest chrome.
And the issue itself is caused by chrome not closing it's processes.

Wen't through all computers, I run chrome, open a few pages. Closed chrome
and wait for a hour.
Checked the running processes after 1 hour and the chrome processes were
still there.
Meaning it never closes the sessions after chrome itself is closed.

Best regards,
Arturs

Thank you for providing more feedback. Adding requester "brajkumar@chromium.org" for another review and adding "Needs-Review" label for tracking.

For more details visit https://www.chromium.org/issue-tracking/autotriage - Your friendly Sheriffbot

Could you please try the below steps to solve this issue:

1. Clear out all of your Chrome history, data, and passwords.
2. Stop ALL Google processes, even the background.
3. Then run chrome cleanup tool to clean Windows, Applications, and Registry.
https://www.google.com/chrome/cleanup-tool/
4. Restart chrome

Hello,

Seems like i have narrowed it down.
It's related with updates. When you update your chrome to latest version,
it's processes don't close even after you have closed chrome.
Forcibly closing chrome processes or restarting the computer, solves it.

Best regards,
Arturs

Thank you for providing more feedback. Adding requester "brajkumar@chromium.org" for another review and adding "Needs-Review" label for tracking.

For more details visit https://www.chromium.org/issue-tracking/autotriage - Your friendly Sheriffbot

Thanks for your update. Closing this issue since it got resolved from your end. Please feel free to raise a new issue in case if this issue seen on any of the latest chrome builds.

Thanks!