Question 4(a) - May 2025: Agency Problem in Project Selection
Problem Statement: Consider the following simple corporate example with one stockholder and one manager. There are two mutually exclusive projects in which the manager may invest and two possible manager compensation contracts that the stockholder may choose to employ. The manager may be paid a flat Tk. 300,000 or receive 10 percent of corporate profits. The stockholder receives all profits net of manager compensation. The gross profits and associated probabilities for each project are given below:
| Project # 1 | Project # 2 | ||
|---|---|---|---|
| Gross profit | Probability | Gross profit | Probability |
| Tk. 0 | 33.33% | Tk. 600,000 | 50% |
| Tk. 3,000,000 | 33.33% | Tk. 900,000 | 50% |
| Tk. 9,000,000 | 33.33% |
Required: Which project maximizes shareholder wealth? Which compensation contract the manager prefer if this project is chosen? Why?
Difficulty Level: Medium
The calculations are straightforward (expected value), but the question requires you to apply the concept of agency conflict correctly. You need to perform two sets of calculations and then interpret the results in the context of the principal-agent relationship.
Step-by-Step Solution
- Calculate the Expected Gross Profit for Each Project. This step determines which project maximizes shareholder wealth.
- Project 1 Expected Profit:
$E(P_1) = (0 \times 0.3333) + (3,000,000 \times 0.3333) + (9,000,000 \times 0.3333)$
$E(P_1) = 0 + 999,900 + 2,999,700 = \text{Tk. 3,999,600} \approx \text{Tk. 4,000,000}$ - Project 2 Expected Profit:
$E(P_2) = (600,000 \times 0.50) + (900,000 \times 0.50)$
$E(P_2) = 300,000 + 450,000 = \text{Tk. 750,000}$
Conclusion for Shareholder: Project 1 should be chosen because its expected profit is significantly higher, thus maximizing shareholder wealth.
- Project 1 Expected Profit:
- Calculate the Manager's Expected Compensation for Project 1. Now, we analyze the manager's preference, assuming the wealth-maximizing project (Project 1) is selected.
- Contract 1 (Flat Fee): The manager's compensation is a guaranteed Tk. 300,000.
- Contract 2 (10% of Profits): The manager's expected compensation is 10% of the project's expected profit.
$E(\text{Pay}) = 0.10 \times E(P_1) = 0.10 \times 4,000,000 = \text{Tk. 400,000}$
- Determine the Manager's Preference and Explain Why.
The manager will prefer the 10% of profits contract because the expected compensation of Tk. 400,000 is higher than the flat fee of Tk. 300,000.
Why: This scenario demonstrates a situation where incentives are aligned. The profit-sharing contract motivates the manager to favor the same project that the shareholders prefer (the one with the highest expected profit). It resolves the potential agency problem by tying the agent's (manager's) financial outcome directly to the principal's (shareholder's) wealth.
Strategic Guideline
When you see a question involving different projects and compensation schemes, immediately think "agency problem." Break the problem down into two parts: (1) what's best for the owner (highest expected value), and (2) what's best for the manager (highest expected personal compensation). Always use expected value to compare uncertain outcomes. The narrative explanation of "Why" is just as important as the numbers.
Conceptual Questions: Goals, Conflicts, and Objectives
Sep 2024, Q1(i): What is the primary goal of financial management?
Jan 2024, Q4(a): (i) Identify this type of conflict [between management and shareholders] in modern day management. (ii) Explain at least TWO (2) different factors that contribute to this conflict... (iii) As a Management Accountant, explain at least THREE (3) strategies that can be used to manage or mitigate this conflict...
May 2023, Q4(a): (i) Clarify the idea of profit maximization and wealth maximization with an example. (ii) Explain... THREE (3) inherent disadvantages of using profit as a performance measure and THREE (3) advantages of using wealth maximization...
Sep 2022, Q4(a): Explain why maximization of a company's share price is preferred as a financial objective to maximization of its sales.
May 2022, Q4(a): If you have no intention of becoming a financial manager, why do you need to understand financial management?
Difficulty Level: Easy to Medium
These questions test your foundational knowledge. While some are simple definitions (Easy), others require you to explain, compare, and provide strategies (Medium), which demands a deeper level of understanding and clear communication.
Step-by-Step Solution Approach
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For "Primary Goal" Questions (Sep 2024):
- Step 1: Identify the most comprehensive answer. The primary goal is (d) To maximize the owner's wealth.
- Step 2: Mentally disqualify other options. Minimizing risk, maximizing cash flow, and maximizing return are all *components* of maximizing wealth, but not the primary goal itself.
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For "Agency Conflict" Questions (Jan 2024):
- Step 1 (Identify): State clearly that the conflict is the agency problem, arising from the separation of ownership and control.
- Step 2 (Explain Factors): Discuss at least two causes, such as differing time horizons (managers focus on short-term bonuses, shareholders on long-term value) and information asymmetry (managers know more than owners).
- Step 3 (Provide Strategies): List three mitigation mechanisms. Good examples are: (1) Performance-based compensation (stock options), (2) Independent board of directors for oversight, and (3) The threat of takeover for underperforming managers.
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For "Wealth vs. Profit/Sales" Questions (May 2023, Sep 2022):
- Step 1 (Define): Define both terms. Profit/sales maximization is a short-term, accounting-based goal. Wealth maximization (share price) is a long-term, market-based goal.
- Step 2 (Compare using the 3 Pillars): Explain why wealth maximization is superior by comparing it across three key dimensions:
- Timing: Wealth max considers the time value of money; profit max does not.
- Risk: Wealth max incorporates risk; profit max ignores it.
- Clarity: Wealth max (share price) is a clear, observable metric; "profit" can be defined in many ambiguous ways.
- Step 3 (Give Example): Use a simple example: A firm could boost short-term sales by selling on very loose credit terms, but this increases risk and hurts long-term value (share price).
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For "Why Study Finance" Questions (May 2022):
- Step 1 (Personal Life): Explain its importance for personal financial decisions like budgeting, retirement planning, taking out loans (mortgage, car), and investing.
- Step 2 (Professional Life): Explain its importance for non-finance professionals. A marketing manager needs to understand budgets and ROI. An operations manager needs to justify capital expenditures. All employees benefit from understanding the financial health of their company.
Strategic Guideline
For conceptual questions, structure is key. Use the "identify, explain, solve/compare" framework. Always bring your answers back to the core principles: the goal is to maximize long-term shareholder wealth, which is a function of the magnitude, timing, and risk of future cash flows. Using these pillars to critique weaker goals like profit maximization will always lead you to the right answer.