Investment Decision Making Principles
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Questions and Answers

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?

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?

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?

<p>It is assumed that capital markets are perfect and complete, and the market interest rate is known with certainty.</p> Signup and view all the answers

What implication does the Fisher Separation Theorem have for shareholders and managers?

<p>Shareholders can delegate investment decisions to managers since these decisions are independent of their time preferences for consumption.</p> Signup and view all the answers

Why is narrowing down on expected utility important in investment decisions?

<p>Narrowing down on expected utility helps determine whether future investments outweigh the utility of current consumption.</p> Signup and view all the answers

What is a key factor that affects the optimal investment decision according to the lecture?

<p>The expected utility of future consumption provided by an additional dollar investment.</p> Signup and view all the answers

What role does certainty play in capital budgeting according to the provided content?

<p>Certainty allows for all payoffs from investment decisions to be known, making decision-making straightforward.</p> Signup and view all the answers

What is the primary investment decision criterion for a manager when considering new projects?

<p>The primary criterion is to undertake projects that earn more than the market rate of return.</p> Signup and view all the answers

Explain the significance of the Marginal Rate of Transformation (MRT) in investment decisions.

<p>MRT indicates the trade-off between different investment choices and is critical for achieving optimal investment decisions.</p> Signup and view all the answers

What does the equation $W_0^* = P_0 + P_1(1 + r)^{-1}$ represent in investment decision-making?

<p>It represents the present value of wealth, combining initial investments and future projected cash flows.</p> Signup and view all the answers

Identify two main components that determine shareholders' wealth.

<p>Shareholders' wealth is determined by dividends paid and capital gains from stock sales.</p> Signup and view all the answers

How is the required rate of return on equity (ks) determined?

<p>It is determined by the market and is viewed as a constant opportunity cost over time.</p> Signup and view all the answers

What assumption is made about future cash flows in the valuation of common stocks?

<p>It is assumed that all future cash flows are known with certainty.</p> Signup and view all the answers

What role do capital budgeting techniques play in the investment decision process?

<p>Capital budgeting techniques help in the selection of profitable projects for investment.</p> Signup and view all the answers

How does borrowing or lending relate to individual consumption planning?

<p>Individuals borrow or lend funds to optimize their consumption over time.</p> Signup and view all the answers

What two components determine shareholder wealth?

<p>Dividends paid to shareholders and capital gains from stock sales.</p> Signup and view all the answers

How can managers maximize shareholder wealth?

<p>By maximizing the price per share, which involves maximizing the present value of cash flows from investment projects.</p> Signup and view all the answers

List the three primary investment decision rules mentioned.

<p>Payback method, Net Present Value (NPV), and Internal Rate of Return (IRR).</p> Signup and view all the answers

What is assumed about cash flows and the capital markets in the investment decision context presented?

<p>Cash flows are known with certainty, and it is assumed there are perfect and complete capital markets.</p> Signup and view all the answers

What is the required rate of return for projects defined as?

<p>The opportunity cost of capital, which is equal to the risk-free rate (T-bill rate).</p> Signup and view all the answers

Why is the Accounting Rate of Return (ARR) method skipped in the investment decision rules?

<p>It is often considered less effective than the other methods for maximizing shareholder wealth.</p> Signup and view all the answers

What is the role of free cash flows (FCFt) in investment decisions?

<p>They represent the cash flows that are available for consumption in a specific time period.</p> Signup and view all the answers

What is the general objective when selecting investment projects?

<p>To choose projects that add value to the firm while working with limited resources.</p> Signup and view all the answers

What are the four assessment criteria to consider when evaluating capital budgeting decisions?

<p>The criteria are: 1) Consideration of all cash flows, 2) Account for the time-value of money, 3) Usability for selecting between mutually exclusive projects, and 4) Allowance for independent project consideration.</p> Signup and view all the answers

Why is the NPV decision rule preferred for maximizing shareholders' wealth?

<p>The NPV decision rule is the only technique consistent with the maximization of shareholders' wealth as it considers all cash flows and the time-value of money.</p> Signup and view all the answers

How is the payback period defined?

<p>The payback period is the number of years it takes to recover the initial investment.</p> Signup and view all the answers

What is the payback investment rule?

<p>Invest if the payback period is less than an arbitrary cutoff period.</p> Signup and view all the answers

What is a major disadvantage of the payback method?

<p>A major disadvantage is that it does not consider cash flows beyond the payback period.</p> Signup and view all the answers

How can the exact payback period be calculated using linear interpolation?

<p>The exact payback period is calculated as: period A + (cum.FCF in period A / FCF in the period after period A).</p> Signup and view all the answers

What does the cumulative cash flow (Cum. FCF) indicate in the context of the payback method?

<p>Cumulative cash flow indicates the total cash flows accumulated up to a certain period, helping to identify when the initial investment is recovered.</p> Signup and view all the answers

What limitation is associated with the time-value of money in the payback method?

<p>The payback method does not account for the time-value of money, ignoring the present value of future cash flows.</p> Signup and view all the answers

What does the Internal Rate of Return (IRR) represent in capital budgeting?

<p>IRR represents the discount rate that makes the Net Present Value (NPV) of a project equal to zero.</p> Signup and view all the answers

According to the IRR investment rule, when should a project be accepted?

<p>A project should be accepted if its IRR is greater than the weighted average cost of capital (k).</p> Signup and view all the answers

What is a key drawback of the IRR method related to reinvestment rates?

<p>The IRR method assumes that cash flows will be reinvested at the same rate as the IRR, which may not be realistic.</p> Signup and view all the answers

How does the IRR method relate to the NPV method in capital budgeting?

<p>The IRR method and the NPV method generally lead to similar project accept/reject decisions.</p> Signup and view all the answers

What is the equation used to determine the IRR?

<p>The equation is $NPV = 0 = \sum_{t=1}^{N} \frac{FCF_t}{(1 + IRR)^t} - I_0$.</p> Signup and view all the answers

In the given example, what is the significance of the cash flow values at different time points?

<p>The cash flow values represent the initial investment and subsequent returns expected at specific time intervals.</p> Signup and view all the answers

What does the value-additivity principle imply in project selection?

<p>The value-additivity principle implies that the combined value of two projects should be more than the sum of individual projects when selected wisely.</p> Signup and view all the answers

Why might selecting a project based solely on IRR not maximize shareholder wealth?

<p>Selecting based solely on IRR may lead to choosing a project with a high IRR but potentially lower NPV, failing to maximize shareholder wealth.</p> Signup and view all the answers

What does the violation of the Fisher separation theorem imply for capital budgeting decisions?

<p>It implies that the Value-Additivity Principle is not maintained, affecting the validity of the investment decisions.</p> Signup and view all the answers

How can multiple IRRs arise in a project's cash flow analysis?

<p>Multiple IRRs can occur when cash flows shift signs more than once, leading to different IRR calculations.</p> Signup and view all the answers

Why is the IRR rule considered ineffective when comparing mutually exclusive projects?

<p>Because the project with the highest IRR may not have the highest NPV, leading to potentially incorrect investment choices.</p> Signup and view all the answers

What is the significance of the Value-Additivity Principle in assessing project combinations?

<p>It indicates that the combined value of independent projects should equal the value of their separate evaluations, which may not always hold true.</p> Signup and view all the answers

Explain why NPV is considered a safer criterion than IRR.

<p>NPV is less susceptible to the pitfalls of multiple IRRs and considers the time value of money directly.</p> Signup and view all the answers

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?

<p>The key challenge is that cash flow sign changes can yield more than one IRR, complicating the decision-making process.</p> Signup and view all the answers

What is a potential outcome of combining several projects regarding their IRRs?

<p>Combining projects can result in a higher combined IRR that may not represent the best individual project choices.</p> Signup and view all the answers

How does reinvestment rate assumption affect project assessments using IRR?

<p>The IRR assumes reinvestment at the calculated IRR rate, which may not align with the firm's actual cost of capital or market rates.</p> Signup and view all the answers

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.

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