Thanks for your prompt reply.
I tried to open the old PST file as you suggested, but then Outlook crashed, saying the data file had not been configured.
In your reply, you stated that I 'should' be able to import to Outlook 2013 without it crashing. This made me suspect that...
I've just built a completely new PC and installed Office 2013. I now need to move my e-mails across.
The old PC is running XP and Outlook 2002.
I understand that 2002 is in the ANSI format while 2013 is Unicode.
I also understand that there was no formal convertor available...