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标题: calculation logic for the Tree Diagram [打印本页]

作者: toocfatoo    时间: 2011-7-13 14:58     标题: calculation logic for the Tree Diagram

I understand the purpose for creating a tree diagram, but I am unclear about how the numbers are derived.

I am unable to paste the diagram here, but one can be viewed either on page 338 (Reading 8- Figure 2 BankCorp's Forecasted EPS) on the CFAI book or page 202 (Reading 8: Figure 3: A Tree Diagram) on the Schweser book.

Question: how are the forecasted EPS numbers (total of 4) on the right derived from the one expected EPS on the left?

Steps for the calculations would help....thanks!
作者: sdada    时间: 2011-7-13 14:58

You'll have to gimme some time on this one.. I dont have the text on me right now
作者: bapswarrior    时间: 2011-7-13 14:58

From your question, I think you are wondering how the 4 EPS figures are derived, not how the associated probabilities are calculated.

The four EPS figures (e.g. $2.60, $2.45 etc on pg 338 of the TB) are just assumptions. They are not deriving them. What they are deriving is the probability of each of the 4 possible EPS actually occurring. For example, the probability of an EPS of $2.60 is 0.60*0.25 = 0.15
作者: kamara5    时间: 2011-7-13 14:59

Thank you Beat The CFA.

Your explanation makes sense to me. Just to confirm my understanding though the 4 EPS on the right could then be any number as long as the percentage total (prob * EPS) adds up to $2.34? And I suppose the logic they are using for their artificial number from highest of $2.60 to low of $2.00 is purely based on the circumstantial change of interest rates - declining interest rates triggering a possible initial boom in the economy and the stable interest rates possibly causing the economy to cool down...
作者: JPSem    时间: 2011-7-13 14:59

I think you've got it.

The total all of the four PROBABILITIES on the right should equal 1 (0.15+0.45+0.24+0.16).

The EPS numbers just illustrate how the company's earnings would be affected by the different interest rate scenarios.

The sum of (prob*EPS) equals the expected EPS.

(0.15*2.60) + (0.45*2.45) + (0.24*2.20) + (0.16*2.00) = E(EPS) = $2.34




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