I just want to be absolutely clear on what this assumption means. Could you please provide a mathematical definition, a description of what this means in words and if appropriate, an example? Thanks!
There is a good discussion here about it: https://quant.stackexchange.com/que...ownian-motion-merely-almost-surely-continuous (But there is no way they’ll ask you about something this fiddly in an actuarial exam, other parroting the definition.)
