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Questions and Answers
What is the primary consideration when making an investment decision?
What is the primary consideration when making an investment decision?
The primary consideration is how much not to consume today to increase future consumption possibilities.
How should an optimal investment decision be determined?
How should an optimal investment decision be determined?
An optimal investment decision maximizes expected utility of consumption over a lifetime.
What are the two potential uses of earnings for managers in a firm?
What are the two potential uses of earnings for managers in a firm?
Managers can either pay out earnings as dividends or invest earnings in productive opportunities.
What conditions are assumed in making investment decisions with no uncertainties?
What conditions are assumed in making investment decisions with no uncertainties?
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What implication does the Fisher Separation Theorem have for shareholders and managers?
What implication does the Fisher Separation Theorem have for shareholders and managers?
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Why is narrowing down on expected utility important in investment decisions?
Why is narrowing down on expected utility important in investment decisions?
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What is a key factor that affects the optimal investment decision according to the lecture?
What is a key factor that affects the optimal investment decision according to the lecture?
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What role does certainty play in capital budgeting according to the provided content?
What role does certainty play in capital budgeting according to the provided content?
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What is the primary investment decision criterion for a manager when considering new projects?
What is the primary investment decision criterion for a manager when considering new projects?
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Explain the significance of the Marginal Rate of Transformation (MRT) in investment decisions.
Explain the significance of the Marginal Rate of Transformation (MRT) in investment decisions.
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What does the equation $W_0^* = P_0 + P_1(1 + r)^{-1}$ represent in investment decision-making?
What does the equation $W_0^* = P_0 + P_1(1 + r)^{-1}$ represent in investment decision-making?
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Identify two main components that determine shareholders' wealth.
Identify two main components that determine shareholders' wealth.
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How is the required rate of return on equity (ks) determined?
How is the required rate of return on equity (ks) determined?
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What assumption is made about future cash flows in the valuation of common stocks?
What assumption is made about future cash flows in the valuation of common stocks?
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What role do capital budgeting techniques play in the investment decision process?
What role do capital budgeting techniques play in the investment decision process?
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How does borrowing or lending relate to individual consumption planning?
How does borrowing or lending relate to individual consumption planning?
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What two components determine shareholder wealth?
What two components determine shareholder wealth?
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How can managers maximize shareholder wealth?
How can managers maximize shareholder wealth?
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List the three primary investment decision rules mentioned.
List the three primary investment decision rules mentioned.
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What is assumed about cash flows and the capital markets in the investment decision context presented?
What is assumed about cash flows and the capital markets in the investment decision context presented?
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What is the required rate of return for projects defined as?
What is the required rate of return for projects defined as?
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Why is the Accounting Rate of Return (ARR) method skipped in the investment decision rules?
Why is the Accounting Rate of Return (ARR) method skipped in the investment decision rules?
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What is the role of free cash flows (FCFt) in investment decisions?
What is the role of free cash flows (FCFt) in investment decisions?
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What is the general objective when selecting investment projects?
What is the general objective when selecting investment projects?
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What are the four assessment criteria to consider when evaluating capital budgeting decisions?
What are the four assessment criteria to consider when evaluating capital budgeting decisions?
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Why is the NPV decision rule preferred for maximizing shareholders' wealth?
Why is the NPV decision rule preferred for maximizing shareholders' wealth?
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How is the payback period defined?
How is the payback period defined?
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What is the payback investment rule?
What is the payback investment rule?
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What is a major disadvantage of the payback method?
What is a major disadvantage of the payback method?
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How can the exact payback period be calculated using linear interpolation?
How can the exact payback period be calculated using linear interpolation?
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What does the cumulative cash flow (Cum. FCF) indicate in the context of the payback method?
What does the cumulative cash flow (Cum. FCF) indicate in the context of the payback method?
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What limitation is associated with the time-value of money in the payback method?
What limitation is associated with the time-value of money in the payback method?
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What does the Internal Rate of Return (IRR) represent in capital budgeting?
What does the Internal Rate of Return (IRR) represent in capital budgeting?
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According to the IRR investment rule, when should a project be accepted?
According to the IRR investment rule, when should a project be accepted?
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What is a key drawback of the IRR method related to reinvestment rates?
What is a key drawback of the IRR method related to reinvestment rates?
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How does the IRR method relate to the NPV method in capital budgeting?
How does the IRR method relate to the NPV method in capital budgeting?
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What is the equation used to determine the IRR?
What is the equation used to determine the IRR?
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In the given example, what is the significance of the cash flow values at different time points?
In the given example, what is the significance of the cash flow values at different time points?
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What does the value-additivity principle imply in project selection?
What does the value-additivity principle imply in project selection?
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Why might selecting a project based solely on IRR not maximize shareholder wealth?
Why might selecting a project based solely on IRR not maximize shareholder wealth?
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What does the violation of the Fisher separation theorem imply for capital budgeting decisions?
What does the violation of the Fisher separation theorem imply for capital budgeting decisions?
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How can multiple IRRs arise in a project's cash flow analysis?
How can multiple IRRs arise in a project's cash flow analysis?
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Why is the IRR rule considered ineffective when comparing mutually exclusive projects?
Why is the IRR rule considered ineffective when comparing mutually exclusive projects?
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What is the significance of the Value-Additivity Principle in assessing project combinations?
What is the significance of the Value-Additivity Principle in assessing project combinations?
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Explain why NPV is considered a safer criterion than IRR.
Explain why NPV is considered a safer criterion than IRR.
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In the cash flow example of -90,000 at time 0, followed by 132,000, 100,000, and -150,000, what is a key challenge in determining the IRR?
In the cash flow example of -90,000 at time 0, followed by 132,000, 100,000, and -150,000, what is a key challenge in determining the IRR?
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What is a potential outcome of combining several projects regarding their IRRs?
What is a potential outcome of combining several projects regarding their IRRs?
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How does reinvestment rate assumption affect project assessments using IRR?
How does reinvestment rate assumption affect project assessments using IRR?
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Study Notes
Introduction to Principles of Finance
- Lecture 3 & 4 focus on investment decisions under certainty (CWS ch. 2)
- Presented by Rikke Sejer Nielsen at SDU
Investment Decision
- Investment decisions involve determining how much to forgo consuming today to increase future consumption options.
- For firms, managers decide how to distribute earnings:
- Pay out dividends (for shareholders' consumption)
- Invest earnings for future consumption growth
- Optimal investment maximizes expected utility of consumption throughout a lifetime.
- Investments are made when the expected future utility of a one-dollar investment is greater than the utility of spending that extra dollar today.
Investment Decisions with No Uncertainty
- Perfect and complete capital markets.
- Market interest rate is known with certainty and consistent.
- All payoffs from current investment choices are known.
- Shareholders can delegate investment decisions to the firm's manager and the decision is independent from shareholders' time preference.
- Managers will undertake all projects earning more than the market rate of return.
- Optimal decisions maximise shareholder wealth when the market rate of return equals -1 + r. Shareholders generate income from investments and use loans or deposits to shape their consumption optimally, with Consumption = -1 + r. (MRS = -1 + r)
- Investment decisions are independent of the individual preferences of shareholders. Maximizing shareholder wealth = Maximising life-time utility of consumption. W* = Po + P1(1+r)-1= C0 + C1* (1+r)-1
Two Important Topics for Investment Decisions
- Defining shareholder wealth.
- Different techniques for project selection (capital budgeting).
Shareholder Wealth
- Determined by after-tax cash flows (dividends and capital gains) available for consumption.
- Dividends paid to shareholders at a specific time.
- Capital gains if the stock is sold.
- Common stock valuation depends on these factors.
Valuation of Common Stocks
- All future cash flows are known with certainty.
- Shareholders’ required rate of return (ks) is market-determined.
- Opportunity cost of capital for equal income streams is determined by the slope of the capital market line.
- Personal taxes are not considered in the valuation.
- Current stock price (S0) is the present value of future dividends and the future stock price.
Valuation of Common Stocks - Price of Common Stock Today
- S0 = D1/ (1 + ks) + S1 / ( 1 + ks).
- Similarly, S1 = D2/(1 + ks) + S2 / (1 + ks).
- Combining these equations: S0 = D1/(1 + ks) + D2/(1 + ks)2+ S2/( 1 + ks)2..
Valuation of Common Stocks - Stockholder with Investment Horizon H
- S0 = (D1 + D2 +...+ DH + SH) / (1 + ks)H
- Value of stock = present value of all future dividends plus stock price at the end of investment horizon.
Valuation of Common Stocks - Dividend Discount Model
- For indefinite investment horizon (H → ∞) : S0 =∑t=1∞ Dt/ (1 + ks)t.
- Stock value is the present value of all future dividends.
Example: Valuation of Common Stocks
- Firm ABC will pay $5, $5.25, and $6.50 dividends for the next three years.
- The stock will be sold for $100 at the end of year three.
- Required rate of return on equity = 12%.
- Calculate the current stock price.
Valuation of Common Stocks - Constant Dividends Growth
- If dividends grow indefinitely at a constant rate (g): Divt = Div0(1 + g)t
- Stock price at time 0 (S0) = Div0(1 + g)/ (ks - g).
Valuation of Common Stocks - Several Dividends Growth Rates
- Dividends can grow at a constant rate (g1) for a period (t) and then a different rate (g2) after t.
- Stock formula is based on sum of present values of all cash flows.
Exercise 1 - Valuing Common Stocks
- A firm pays a $5.00 dividend next year and increases it by 7% per year indefinitely.
- Required rate of return = 10%. -Calculate the value of the firm's stock. -Repeat calculation if the dividend grows at 2% per year.
Exercise 2 - Valuing Common Stocks
- A firm paid out a $3 dividend.
- Dividends increases by 5% over the next 3 years.
- Growth rate changes to 2% after a three years.
- Required rate of return = 12%.
- Calculate the value of the stock
Payback Method
- Payback period is the time needed to recover the initial cost of an investment.
Net Present Value (NPV) Method
- Calculates the present value of all future cash flows associated with a project minus the initial investment (k = weighted average cost of capital; N - period of investment).
- NPV > 0 ⇒ Investment is acceptable.
Example: Net Present Value (NPV)
- A firm can buy a building for $440,000.
- Investment generates $30,000 per year for the first three years, and $500,000 at the end of year three.
- Weighted average cost of capital, k = 10%.
- Calculate NPV, should the investment be made?
Internal Rate of Return (IRR) Method
- IRR is the discount rate that makes the NPV of an investment zero.
- IRR > k ⇒ Investment is acceptable.
IRR Example 2
- Same setting as example 2 (Building)
- What is the IRR for the investment?
- Should the firm invest?
Equivalence between IRR and NPV
- In general, IRR and NPV methods are similar; however,
- IRR rule is not appropriate to choose between exclusive mutual projects
Pitfalls with IRR Rule
- Reinvestment assumption within the IRR method doesn't always hold in real situations.
- Doesn’t consider the time value of money
- Doesn’t account for reinvestment rate after the payback period, which is wrong.
- Value additivity principle doesn’t work when choosing multiple independent projects.
- Multiple IRR values might exist for projects with changing signs in cash flows over time.
Example: Multiple IRR Problem
- Project with cash flows: -90,000, 132,000, 100,000, -150,000 with opportunity cost k = 12%
Exercise 3
- Calculate the payback period and net present value of Projects A, B & C for a 10% discount rate.
- If A & B are mutually exclusive, and C is independent, which project/combination is preferred using payback or NPV methods?
- Examine the value-additivity of the payback method
Exercise 4 - Mutual Exclusive Projects
- Projects A, B, C and D have the following cash flows.
- Calculate the NPV and IRR values for each project to understand which project to select.
References
- CWS, Ch. 2
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Description
Explore the key principles and criteria involved in making optimal investment decisions. This quiz covers aspects such as the Fisher Separation Theorem, the significance of expected utility, and factors affecting managerial choices in capital budgeting. Test your understanding of investment concepts and their implications on shareholder wealth.