Thanks to all you guys for your thoughts! This really is a tough question.
1st bullet: Okay, this amortization is making sense to me, I think. Take the present value (at 5%) of future expenses. (I'm taking future to mean everything that comes after time 0, so it would not include the one-time set-up fee, but it would include ongoing program costs, labor, fuel, and equip for years 1-10.) Then you can calculate the 10-year payment amount. I don't see a problem with using 5% for this problem, since we are using it for other purposes. My instinct is not to add any margin in, because the question says "best estimate."
I agree that this reserving will help smooth out profits and losses. (But the overall profitability over the 10-year model will still be the same, right?) The payment amount won't be exactly right in each year, which I think is okay: if it's a little too much, BBA keeps the difference as profits, and if it's not quite enough, BBA finds the money to cover the difference. This is definitely better than just winging it, trying to come up with $80k or something each year.
I think I'll point out (if not here, then in the Task 6 memo) that it might be tempting to take the big profit in the first year, since BBA's general profitability has been below target, but it is probably more prudent to smooth the profits out.
I won't get too specific about how to change the model. Just explain how it would work, then say, "So in the model we would add an reserve stream and change the profit formula to incorporate it."2nd bullet: I also plan on playing with the redemption and forfeiture assumptions and showing the results in a table. I think in this case, we would know the plan provisions in advance, so we should goal-seek the price that meets our risk metrics. No sense in keeping our price from Task 2, because that was based on different provisions. I'll leave all the other baseline assumptions alone... although maybe not number of miles purchased. If CDL customers know that it's only 24 months, they might shy away from earning air miles.
For this change, the model itself doesn't need to be altered, I'm thinking, just some inputs.
3rd bullet: Overall, not a good idea because BBA is restrained and might be locked in a bad deal, if miles purchased ends up being lower than expected. (Of course, the upside is also possible.) Management might want to see more stringent risk metrics met before committing. But as we know, miles purchased and redemption/forfeiture rates are a big question mark.
As for model changes, we would want it to handle miles purchased revenue coming in in year 2-3 as well as in year 1. Other than that, no model changes, maybe just input changes to the miles purchased and the redemption/forfeiture rates...
I've been wrestling with how to think about these rates. My first thought: forfeiture rates will go down because more activity possible, with miles now earned in three years instead of one. (I assume earning miles counts as account activity, for purposes of the forfeiture rules, along with redeeming them.) But these baseline rates were developed from BBA frequent flyers, who have the opportunity to earn in every year... so maybe the rates are more appropriate now than they were in previous tasks. Because of the forfeiture pattern, the baseline rates are clearly for new members. But I doubt they were developed by looking only at new members who earned in the first year, and then never again until all their miles were redeemed or forfeited. I mean, that would have been a good idea (appropriate to the original project), but I have a feeling that's not what we're supposed to assume when it says "calculated using BBA's current frequent flyer program" in Task 2. Anyone else have thoughts on this???