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General Calculation of Expected Payoff
In situations involving uncertain outcomes, the expected payoff is calculated by summing the products of each possible payoff and its corresponding probability. This is achieved by multiplying the value of every potential outcome by its likelihood of occurring and then adding all these resulting values together.
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Introduction to Microeconomics Course
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CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
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General Calculation of Expected Payoff
A company is deciding whether to launch a new product. The marketing department provides the following analysis:
- If the launch is successful, the company will earn a profit of $5 million.
- If the launch fails, the company will incur a loss of $2 million.
- Based on market research, there is a 40% probability of success and a 60% probability of failure.
Assuming the company makes decisions based on maximizing the weighted average of all possible outcomes, what is the most rational course of action?
Investment Decision Analysis
Farmer's Planting Decision
A company is deciding between two mutually exclusive projects, Project X and Project Y. An initial analysis reveals that Project X has a significantly higher probability of success than Project Y. Based solely on this information, a rational, risk-neutral decision-maker should choose Project X to maximize their expected payoff.
A venture capitalist is evaluating four different startup investment opportunities. Match each opportunity, described by its potential outcomes and their probabilities, with its correct expected payoff.
A software company is considering adding a new feature. Market analysis suggests a 30% chance the feature will be a major success, generating $100,000 in profit; a 50% chance it will be moderately successful, generating $20,000 in profit; and a 20% chance it will fail, resulting in a loss of $40,000. The expected payoff of developing this feature is $____. (Enter a whole number without commas or dollar signs).
Critique of a Decision-Making Process
A manager needs to make a rational decision between two different investment strategies, where the final profit for each strategy is uncertain. Arrange the following steps into the correct logical sequence they should follow to determine the best strategy by comparing the weighted average of all possible results.
A firm is deciding between two mutually exclusive projects. Project A has a 70% chance of earning $10 million and a 30% chance of losing $5 million. Project B has a 40% chance of earning $20 million and a 60% chance of losing $6 million. The firm initially determines that Project A is the better choice by comparing the weighted average of all possible outcomes. Which of the following independent changes to the scenario would reverse this decision, making Project B the more rational choice?
Critique of a Business Expansion Analysis
Learn After
A software company is considering launching a new mobile application. Market analysis suggests a 70% probability that the app will be successful, generating $500,000 in profit. However, there is a 30% probability that the app will fail, resulting in a loss of $100,000. Based on these figures, what is the expected payoff of launching the new application?
Farmer's Crop Choice
Investment Decision Analysis
An investor is considering a stock that costs $10 per share. There is a 20% chance the stock's value will increase to $25 and an 80% chance it will decrease to $5 within a year. The expected payoff from purchasing one share of this stock is $1.
A company is testing a new product. Market research indicates a 60% probability of success, which would yield a profit of $200,000. However, there is a 40% probability of failure, resulting in a loss of $150,000. The expected payoff for launching this new product is $____.
An analyst is evaluating four different investment scenarios. Calculate the expected payoff for each scenario and match it with the correct value.
Investment Strategy Evaluation
You are tasked with determining the expected monetary value of a business venture that has several possible outcomes. Arrange the following steps in the correct logical order to perform this calculation.
A startup is developing a new technology. The probability of success is 40%, which would result in a profit of $2,000,000. The probability of failure is 60%. The company's investors will only fund the project if the expected payoff is at least $500,000. What is the maximum financial loss the company can sustain in the event of failure while still meeting the investors' requirement?
A pharmaceutical company is considering a $10 million investment in the final clinical trials for a new drug. The potential outcomes are: a 20% probability of full approval, yielding a net profit of $50 million; a 50% probability of limited approval, yielding a net profit of $10 million; and a 30% probability of rejection, resulting in the loss of the entire $10 million investment. What is the expected payoff of proceeding with this investment?