Learning Objectives

By the end of this lesson, learners should be able to:

  • Calculate expected value.
  • Apply expected monetary value (EMV) to business decisions.
  • Construct and interpret decision trees.
  • Evaluate alternatives under uncertainty.

Expected Value

Expected value is the probability-weighted average of possible outcomes.

Formula

Expected Value = Σ(Outcome × Probability)

Worked Example

A company considers launching a product.

Demand Level

Profit (USD)

Probability

High

500,000

0.40

Medium

200,000

0.45

Low

−100,000

0.15

Expected Value =

(500,000 × 0.40) + (200,000 × 0.45) + (−100,000 × 0.15)

= 200,000 + 90,000 − 15,000

= USD 275,000

Interpretation

On average, the project is expected to generate USD 275,000.

Expected Monetary Value (EMV)

EMV is widely used in project evaluation, investment analysis, and risk assessment.

Decision Rule

Choose the alternative with the highest EMV, provided risk is acceptable.

Decision Trees

Decision trees show:

  • Decision points,
  • Chance events,
  • Probabilities,
  • Financial outcomes.

They help managers visualize complex decisions.

Example

An international retailer deciding whether to enter a new market can compare:

  • Enter market,
  • Delay entry,
  • Do not enter.

Each branch contains possible demand outcomes and profits.

Risk And Expected Value

Two projects may have the same EMV but different risk levels.

Example

  • Project A: Outcomes close to the average.
  • Project B: Very high gains or very large losses.

Risk-averse managers may prefer Project A despite identical EMV.

International Investment Case

A renewable energy company evaluates a solar project in Australia and a wind project in Spain. EMV analysis suggests the solar project is more profitable, but the wind project has lower variability. Management considers both profitability and risk before investing.

Learning Materials / Reference Materials

  • Clemen & Reilly. Making Hard Decisions.
  • Harvard Business Review Decision Analysis Articles.

Lesson Summary

Expected value and decision analysis provide structured methods for evaluating alternatives under uncertainty and balancing profitability with risk.

Topic Conclusion

Probability provides the mathematical foundation for business decision-making under uncertainty. By understanding probability concepts, probability rules, conditional probability, probability distributions, expected value, and decision analysis, managers can evaluate risks, compare alternatives, forecast outcomes, and make more informed strategic decisions. These skills are essential in finance, marketing, operations, supply chain management, risk management, and investment analysis.

Topic Practical Assignment

An international retail company is considering launching a new product in United Kingdom, Germany, Singapore, and Australia.

Using the demand probabilities and profit estimates provided by your instructor:

  1. Calculate simple and conditional probabilities.
  2. Apply addition and multiplication rules.
  3. Estimate expected monetary value for each country.
  4. Construct a decision tree.
  5. Identify the country with the highest expected value.
  6. Discuss the risks associated with each market.
  7. Prepare a professional management report with calculations, charts, interpretation, and recommendations.

The report should be suitable for presentation to senior management.

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