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Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To

Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an assets expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence.

Consider the following case:

Ian owns a two-stock portfolio that invests in Falcon Freight Company (FF) and Pheasant Pharmaceuticals (PP). Three-quarters of Ians portfolio value consists of FFs shares, and the balance consists of PPs shares.

Each stocks expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table:

Market Condition

Probability of Occurrence

Falcon Freight

Pheasant Pharmaceuticals

Strong 0.25 45% 63%
Normal 0.45 27% 36%
Weak 0.30 -36% -45%

Calculate expected returns for the individual stocks in Ians portfolio as well as the expected rate of return of the entire portfolio over the three possible market conditions next year.

The expected rate of return on Falcon Freights stock over the next year is .
The expected rate of return on Pheasant Pharmaceuticalss stock over the next year is .
The expected rate of return on Ians portfolio over the next year is .

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