Up move and down move factors for binomial option valuation

KSTHANE

New member
Joined
Jun 18, 2026
Messages
0
Reaction score
0
So is there an accepted way to come up with the down move factor for binomial option valuation? The way it was done on the CFAI mock exam is a way I have never seen before.
If they tell me that a stock can drop 20% over two periods I would just take the current price and multiply by .8 twice. Absent information about how much the stock is going to drop I have seen people take the up move factor that is given and take the inverse. So a 15% up move would mean a 1/1.15 down move so that you are taking .87 by the price to get how much it would be on the way down.
The way they do it on the mock exam is to take the negative down move of 20% and basically say it’s the inverse of 1.2 for a .833 down move factor.
I guess that is the way I will do it on the exam; but that is not how they show you how to do it in Schweser. Perhaps Schweser is giving too simplistic of examples in their readings.
 
The general way to do it is for the up factor and the down factor to be reciprocals of each other. If the up factor is, say, 1.20, then the down factor is 1/1.20 = 0.83; if the up factor is 1.15, then the down factor is 1/1.15 = 0.870, and so on.
This is done so that the the binomial tree is recombining (i.e., an up move followed by a down move gives the same price as a down move followed by an up move).
As a practical matter, they’re likely to give you the up and down factors.
 
I was stuck on that question last night for a long time. I was very confused with the way the mock explained this. I assumed it was an error by CFA.
 
Is there a mock exam errata? I looked for it but didn’t find anything on the CFA website.
 
Back
Top