expected to result during each state of nature by its probability of occurrence. Consider the following case: Aaron owns a two-stock portfolio that invests in Blue Llama Mining Company (BLM) and Hungry Whale Energy (HWE). Three-quarters of Aaron'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 Normal Weak Probability of Occurrence 20% 35% Blue Liama Mining Hungry Whale Energy 10% 14% 6% 8% -8% -10% Calculate expected returns for the individual stocks in Aaron'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 Energy's stock over the next year is The expected rate of return on Aaron's portfollo over the next year is The expected returns for Aaron's portfolio were calculated based on three possible conditions in the market. Such conditions will vary from time to time, and for each condition there will be a specific outcome. These probabilities and outcomes can be represented in the form of a continuous probability distribution graph. For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph

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
Section: Chapter Questions
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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 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:
Aaron owns a two-stock portfolio that invests in Blue Liama Mining Company (BLM) and Hungry Whale Energy (HWE). Three-quarters of Aaron'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 Probability of Occurrence
20%
35%
45%
Strong
Normal
Weak
Blue Llama Mining Hungry Whale Energy,
10%
14%
6%
-8%
8%
-10%
Calculate expected returns for the individual stocks in Aaron's portfollo 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 Energy's stock over the next year is
The expected rate of return on Aaron's portfolio over the next year is
The expected returns for Aaron's portfolio were calculated based on three possible conditions in the market. Such conditions will vary from time to
time, and for each condition there will be a specific outcome. These probabilities and outcomes can be represented in the form of a continuous
probability distribution graph.
For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph:
Transcribed Image Text: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: Aaron owns a two-stock portfolio that invests in Blue Liama Mining Company (BLM) and Hungry Whale Energy (HWE). Three-quarters of Aaron'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 Probability of Occurrence 20% 35% 45% Strong Normal Weak Blue Llama Mining Hungry Whale Energy, 10% 14% 6% -8% 8% -10% Calculate expected returns for the individual stocks in Aaron's portfollo 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 Energy's stock over the next year is The expected rate of return on Aaron's portfolio over the next year is The expected returns for Aaron's portfolio were calculated based on three possible conditions in the market. Such conditions will vary from time to time, and for each condition there will be a specific outcome. These probabilities and outcomes can be represented in the form of a continuous probability distribution graph. For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph:
For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph:
PROBABILITY DENSITY
-40
Company G
Company H
16
D
20
40
RATE OF RETURN (Percent)
-20
60
Based on the graph's information, which company's returns exhibit the greater risk?
O Company H
O Company G
Transcribed Image Text:For example, the continuous probability distributions of rates of return on stocks for two different companies are shown on the following graph: PROBABILITY DENSITY -40 Company G Company H 16 D 20 40 RATE OF RETURN (Percent) -20 60 Based on the graph's information, which company's returns exhibit the greater risk? O Company H O Company G
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