For instance, if the drop out rate for the most engaged core is:
Year 0-5: 10%
Year 5-10: 7%
Year 10-30: 15%
Then, the chance of staying involved the rest of their career is about 70%, which would mean the expected length of engagement is very roughly 20 years.
Are you assuming quite short careers? Using bucket midpoints I calculate
(20-0.1*2.5-0.07*7.5-20*0.15)/(1-0.1-0.07-0.15)
Which suggests you are using ~24 years for a full career, which seems a little low. If I substitute 40 years I get over 30 years of engagement.
Are you assuming quite short careers? Using bucket midpoints I calculate
Which suggests you are using ~24 years for a full career, which seems a little low. If I substitute 40 years I get over 30 years of engagement.
The answer does not change very much when I converted these numbers to annualised risk factors in excel (and assumed 100% dropoff at year 40).
I was doing a very hacky calculation—I’ll change to 30 years and mention your comment.