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2. Statistical measures of stand-alone risk Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to

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2. Statistical measures of stand-alone risk 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 asset's 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: Joshua owns a two-stock portfolio that invests in Blue Llama Mining Company (BLM) and Hungry Whale Electronics (HWE). Three- quarters of Joshua's portfolio value consists of BLM's shares, and the balance consists of HWE's shares. Each stock's 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 Strong Blue Llama Mining 32.5% Probability of Occurrence 0.50 0.25 0.25 Hungry Whale Electronics 45.5% 26% -32.5% Normal 19.5% Weak -26% Calculate expected returns for the individual stocks in Joshua's 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 Blue Llama Mining's stock over the next year is The expected rate of return on Hungry Whale Electronics's stock over the next year is The expected rate of return on Joshua's portfolio over the next year is

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