My friend who survived the layoffs indicated that this was due to in large part changes in the political/regulatory landscape that made it so the companies they were working with would no longer require the features that IBM was providing.
That sounds suspect to me. The company I work for gives 90 days + 1 month for every 1 month over a year you work there (so work there 2 years and you have 1 year, 90 days to exercise after leaving).
Do they keep you employed for that month? It's fairly common to extend your termination date for health insurance and visa reasons. If you aren't actually terminated, the 90 days wouldn't have started.
The sentence was slightly hard to parse so you may have missed that you get an extra month for each month you are employed over 1 year. So the stated example of a 2 year tenure gives 1 year and 90 days to purchase the options.