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Expected Return of a Risky Project
For a project with an uncertain outcome, investment decisions are based on its expected (or average) return, denoted as . This value represents the anticipated payoff, calculated by considering all potential returns and their associated probabilities.
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Expected Return of a Risky Project
Investor Preference for Lower Risk
Classification of Assets by Risk Level
A company is considering two potential investment projects, each requiring an initial outlay of $10,000.
- Project Alpha guarantees a final return of exactly $11,000.
- Project Beta has two possible outcomes, each with an equal chance of occurring: a final return of $12,000 or a final return of $10,000.
Based on the concept of risk as the variability in possible outcomes, which statement accurately analyzes the two projects?
Comparing Business Expansion Risks
Defining and Illustrating Investment Risk
Analyze the following investment projects. Match each project with the description that best characterizes its level of risk, based purely on the variability of its potential outcomes.
Statement: An investment project with a 50% chance of returning $1,000 and a 50% chance of returning $2,000 is considered less risky than a project with a 50% chance of returning $100 and a 50% chance of returning $120, because all of the first project's potential outcomes are higher.
Modifying Investment Risk in a Business Plan
An investment firm is analyzing two different business ventures. Both ventures have two potential outcomes, each with an equal probability of occurring.
- Venture A has potential returns of $50,000 or $70,000.
- Venture B has potential returns of $20,000 or $100,000.
Based on the definition of risk as the variability in possible outcomes, which statement correctly compares the two ventures?
A financial analyst is evaluating four different investment projects. Based on the principle that risk is defined by the variability of possible outcomes, arrange the following projects in order from least risky to most risky.
In the context of business investments where future returns are not guaranteed, risk is defined as the ________ in their possible outcomes.
Evaluating Launch Strategy Risk
Formula for the Risk-Adjusted Discount Rate
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Calculating Expected Return for a New Venture
An electronics company is launching a new product. Based on market research, there is a 30% probability of generating a return of $1,000,000, a 60% probability of a $400,000 return, and a 10% probability of a $100,000 return. What is the expected return for this new product launch?
Comparing Investment Opportunities
A company is considering two projects. Project A has a 50% chance of returning $100,000 and a 50% chance of returning $20,000. Project B has a 20% chance of returning $150,000 and an 80% chance of returning $40,000. Based solely on the anticipated average payoff, Project A is the more favorable investment.
A firm is evaluating four different investment projects, each with its own set of potential returns and associated probabilities. Match each project description to its correct anticipated average payoff.
Components of Anticipated Payoff
A renewable energy firm is assessing a new project with three possible outcomes. There is a 25% chance of a $500,000 return and a 45% chance of a $200,000 return. If the project's total anticipated average payoff is calculated to be $245,000, the return associated with the third and final outcome must be $____.
An analyst is calculating the anticipated average payoff for a new business venture with several possible outcomes. Arrange the following steps in the correct logical order they would follow to complete this calculation.
A firm is evaluating a project with two possible outcomes: a return of $200,000 or a return of $50,000. Initially, the probability of achieving the $200,000 return is considered lower than the probability of achieving the $50,000 return. If new market research indicates that the likelihood of the $200,000 return has increased (and consequently, the likelihood of the $50,000 return has decreased), how will this change affect the project's overall anticipated average payoff?
Evaluating an Investment Decision
Investment Decision Rule for Risky Projects