Yes. Not a very realistic assumption 25 days out. The problem is that the evolution of vol is path dependent -- a 10% move over 25 days will affect vol differntly if the change happened all in one day with only small moves the other days vs a steady rise of < half a percent a day. Back-of-the-envelope approximations for vol changes are ok for one day (or hour) out, but pretty useless fpr a 25 day out forecast. So, on second thought, you should probably ignore my previous posts on this thread.
Since extrinsic is a linear function of implied vol, you need to create a model for the evolution of iv, and then simulate a few million iterations over the coming 25 days, keep all iterations that showed a 25% or greater move in the underlying and the expectation (mean) of the distribution of those kept terminal [iv converted to] extrinsic values is your answer. Try a GARCH-style model with an additional term of sign(-ln(close[t-1]/close[t-2]) * abs(ln(close[t-1]/open[t-2]))