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Figure E5.3: Firm A's Investment Decision
Figure E5.3 provides a visual representation of an investment decision made by a hypothetical firm, Firm A. It is used to illustrate how a firm might apply economic principles, such as the Net Present Value (NPV) criterion, to decide whether to undertake an investment project.
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Determinants of Aggregate Investment
Inverse Relationship Between Interest Rates and Investment
Figure E5.3: Firm A's Investment Decision
Explaining Aggregate Investment with the Present Value Criterion
A company is considering a one-year project that requires an initial investment of $10,000. The project is guaranteed to provide a single payoff of $10,500 at the end of the year. The company can borrow or lend money at a market interest rate of 6% per year. To determine if the project is worthwhile, the company must compare the present-day value of the future payoff to the initial cost. Which of the following statements correctly analyzes the situation and provides the right decision?
Investment Project Evaluation
Rationale for the NPV Investment Rule
A company is analyzing a potential one-year investment project. After calculating the Net Present Value (NPV) based on the initial investment cost, the expected future payoff, and the current market interest rate, the result is positive, leading to an initial decision to accept the project. Which of the following subsequent changes would be most likely to cause the company to reverse its decision and reject the project?
A firm evaluates a project with an initial cost of $50,000 and an expected return of $52,000 in one year. The relevant annual interest rate is 5%. The firm's manager decides to undertake the project because the total cash return ($52,000) is greater than the initial cash outlay ($50,000). According to the standard investment decision rule, the manager's decision is economically sound.
A company is evaluating four independent, one-year projects. The relevant annual interest rate for discounting is 8%. The costs and payoffs for each project are listed below:
- Project A: Initial Cost $90,000; Future Payoff $100,000
- Project B: Initial Cost $50,000; Future Payoff $53,000
- Project C: Initial Cost $110,000; Future Payoff $118,000
- Project D: Initial Cost $40,000; Future Payoff $45,000
According to the standard investment decision rule, which of these projects should the company undertake?
Break-Even Analysis for an Investment Project
Comparing Investment Decision Rules
A company is evaluating a project that requires an initial investment of $200,000. The project is expected to yield a single payoff in one year. The company's financial analyst has determined that, at the current market interest rate, the project is "marginally acceptable," meaning its net present value is exactly zero. If the project's expected payoff in one year is $210,000, what must the current market interest rate be?
A project requires an initial investment of $50,000 and is expected to generate a payoff of $54,000 in one year. The current market interest rate is 5% per year. After calculating that the Net Present Value (NPV) is positive, two managers discuss the findings.
- Manager A argues: 'The positive NPV means the project is expected to generate value for the firm above and beyond what we could earn from a simple financial investment at the market rate. We should proceed.'
- Manager B argues: 'The project's simple profit is only $4,000. We could invest the $50,000 at 5% and earn $2,500 with less effort. The extra return isn't worth the operational complexity. We should just invest at the market rate.'
Which manager's reasoning is most consistent with the economic principle behind the investment decision rule?
Investment Decision Rule for Risky Projects
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A firm is considering a project that requires an initial investment of $100,000 and is expected to yield a one-time return of $112,000 in one year. The firm's decision rule is to only undertake projects that are expected to be profitable when accounting for the cost of borrowing or the opportunity cost of its capital. What is the maximum interest rate at which the firm would still choose to undertake this project?
Analysis of Investment Viability with Changing Interest Rates
Interest Rate Sensitivity of Investment Projects
Evaluating a Firm's Investment Decision-Making Process
A company is evaluating four separate one-year investment projects. The company's decision rule is to invest only if the expected return, when discounted by the current interest rate, exceeds the initial cost. The current interest rate is 10%. If the interest rate unexpectedly rises to 15%, which of the following projects will change from being a profitable investment to an unprofitable one?
Critique of a Simplified Investment Model
A firm evaluates one-year investment projects based on a single rule: a project is only undertaken if the expected future return, when discounted by the current market interest rate, is greater than the initial investment cost. Match each project below with the description of its viability under different interest rate conditions.
A firm is considering a one-year project with an initial cost of $500 and an expected return of $540. If the current market interest rate is 5%, then the project's expected rate of return is greater than the cost of funds, making it a profitable investment.
Project Selection under Interest Rate Uncertainty
A company has the resources to undertake only one of the following four one-year investment projects. The company's decision rule is to select the single project that is expected to be most profitable, based on a comparison between the initial cost and the discounted value of the future return. If the relevant annual interest rate is 5%, which project should the company choose?