Four analysts cover the stock of Fluorine Chemical. One forecasts a 5​% return for the coming year. The second expects the return to be −6​%. The third predicts a return of 8​%. The fourth expects a 2​% return in the coming year. You are relatively confident that the return will be positive but not​ large, so you arbitrarily assign probabilities of being correct of 33%, 5%​, 18%​, and 44​%, ​respectively, to the​ analysts' forecasts. Given these​ probabilities, what is Fluorine​ Chemical's expected return for the coming​ year?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Four analysts cover the stock of Fluorine Chemical. One forecasts a 5​% return for the coming year. The second expects the return to be −6​%. The third predicts a return of 8​%. The fourth expects a 2​% return in the coming year. You are relatively confident that the return will be positive but not​ large, so you arbitrarily assign probabilities of being correct of 33%, 5%​, 18%​, and 44​%, ​respectively, to the​ analysts' forecasts. Given these​ probabilities, what is Fluorine​ Chemical's expected return for the coming​ year?
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