Julia's Investment-Based Feasible Frontier (Borrow at 78%, Invest with 200% Return)
With the investment opportunity, Julia's feasible set expands to a new frontier, represented by a line connecting the point of maximum future consumption (0, 168) to the point of maximum present consumption (56, 0). This frontier, labeled 'FF (borrow at 78%, invest with 200% return)', encompasses all her new options determined by how she allocates her borrowed funds. The slope of this frontier is 3, representing the marginal rate of transformation of investment into future income.
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Ch.9 Lenders and borrowers and differences in wealth - The Economy 2.0 Microeconomics @ CORE Econ
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Julia's Strategy of Splitting a Loan for Consumption and Investment
Julia's Car Repair Investment: 200% Rate of Return
Julia's Investment-Based Feasible Frontier (Borrow at 78%, Invest with 200% Return)
Figure: Julia's Optimal Choice with and without Investment, Showing Points G and I
Condition for an Investment to Expand the Feasible Set
Evaluating a High-Interest Investment Loan
An individual has no current income but expects $100 in the future. They can borrow money from a payday lender at a very high interest rate (78%). If this individual uses the loan to fund a productive investment (e.g., repairing a car to work for a rideshare service) instead of for immediate consumption, what is the primary effect on their financial possibilities?
An individual who borrows money at a very high interest rate (e.g., 78%) to fund a productive investment will always end up in a worse financial position than if they had not borrowed at all, due to the high cost of the loan.
An individual has no current income and $100 of guaranteed future income. They can borrow money at a 78% interest rate. They also have an opportunity to use any borrowed funds for a productive investment with a rate of return higher than the interest rate. Which statement accurately describes the effect of this investment opportunity on their financial options?
An individual has no current income and $100 of guaranteed future income. They can borrow money at a 78% interest rate. They also have an opportunity to use any borrowed funds for a productive investment with a rate of return higher than the interest rate. Which statement accurately describes the effect of this investment opportunity on their financial options?
High-Interest Loans: Consumption vs. Investment
An individual has no income today but is guaranteed $100 in the future. They can borrow from a lender at a 78% interest rate. They are considering using the borrowed money for a productive investment (e.g., repairing a car to start a delivery service) instead of for immediate consumption. For this investment to be a financially rational decision that improves their overall set of possibilities, what must be true about the investment's rate of return?
Evaluating a High-Interest Productive Loan
Analyzing Loan Use: Consumption vs. Productive Investment
Rationality of High-Interest Loans for Investment
Julia's Endowment at (0, 100)
An entrepreneur has an opportunity to invest $1,000 in a project that is guaranteed to generate a total of $3,000 in revenue by the end of one year. To fund this project, the entrepreneur must take out a one-year loan for the full $1,000 at an annual interest rate of 150%. Based on a purely financial analysis, what is the most logical course of action?
Investment Rate of Return Calculation
An investment opportunity promises a 200% rate of return. This means that if you invest $100, your net profit will be $200, resulting in a total asset value of $300 from this investment.
Investment Decision Analysis
An individual invests $500 in a business venture that has a projected rate of return of 200%. Assuming the projection is accurate, the total revenue generated from this investment will be $____.
A small business owner invests $2,000 in new equipment. This investment allows the business to generate a total of $6,000 in additional revenue. Match each financial term to its correct value based on this scenario.
Investment Viability Evaluation
Project Feasibility Analysis
An entrepreneur invests $500 in a project that has a 200% rate of return. The entire investment is financed with a loan that has a 50% interest rate. Arrange the following steps in the correct logical order to determine the entrepreneur's final net profit from this venture.
An investor puts $500 into a project. At the end of the year, the total value of the asset from this project is $1,500. A financial analyst reports that the project achieved a 200% rate of return. Which of the following statements best evaluates the analyst's report?
Julia's Investment-Based Feasible Frontier (Borrow at 78%, Invest with 200% Return)
Julia's Investment-Based Feasible Frontier (Borrow at 78%, Invest with 200% Return)
Julia's Borrowing-Only Feasible Frontier (78% Interest Rate)
The Role of Price Signals
A recent graduate has no current savings but has a guaranteed job contract that will provide an income of $50,000 next year. On a graph where the horizontal axis represents 'Consumption Now' and the vertical axis represents 'Consumption Later', which coordinate pair best represents this individual's initial financial position, or endowment?
Farmer's Endowment and Financial Constraints
On a graph where the horizontal axis represents 'Consumption Now' and the vertical axis represents 'Consumption Later', an individual's initial financial position is represented by the point (0, 500). This representation implies that the individual must borrow money if they wish to consume anything in the present.
On a graph where the horizontal axis represents 'Consumption Now' and the vertical axis represents 'Consumption Later', match each coordinate pair representing an individual's initial financial position (endowment) with the correct description.
Evaluating Immediate Consumption Constraints
Analyzing a Freelancer's Financial Position
Implications of a Zero-Income Present Endowment
An individual's financial starting point is represented on a graph where the horizontal axis is 'Consumption Now' and the vertical axis is 'Consumption Later'. If their position is at the coordinate (0, 100), which statement best analyzes their immediate situation?
Analyzing Financial Options from an Endowment Point
On a graph where the horizontal axis represents 'Consumption Now' and the vertical axis represents 'Consumption Later', an individual's initial financial position is represented by the point (0, 500). This representation implies that the individual must borrow money if they wish to consume anything in the present.
Learn After
Julia's Maximum Future Consumption from Investment (0, 168)
Marginal Rate of Transformation of Investment into Future Income
An entrepreneur has an opportunity to invest in a new project. The project requires an initial outlay which can be fully financed by borrowing up to $100. For every dollar invested in the project, the entrepreneur will receive $2.50 in future income (a 150% rate of return). On a graph with 'Consumption Now' on the horizontal axis and 'Consumption Later' on the vertical axis, which of the following best represents the endpoints of the new feasible frontier created by this investment opportunity?
Investment Decision Analysis
Interpreting an Investment Opportunity Frontier
An individual can borrow up to a certain limit to finance a project. This investment opportunity creates a new linear feasible frontier of possible 'consumption now' and 'consumption later' combinations. If the rate of return on this project were to increase, while the borrowing limit remained unchanged, this new feasible frontier would shift outward in a parallel fashion.
An individual is considering several investment opportunities. Each opportunity, if taken, creates a new set of possible combinations for consumption now versus consumption later, represented by a straight-line feasible frontier. Match each Marginal Rate of Transformation (MRT), which represents the slope of the frontier, to the description of the investment opportunity it corresponds to.
An individual has an opportunity to borrow up to $56 to fund a project. For every dollar invested in the project, they will receive $3 in future income. This relationship can be represented by a straight-line feasible frontier on a graph of 'consumption now' versus 'consumption later'. If this individual chooses to consume $20 now, the maximum amount they can consume later is $____.
An individual has no current income but has access to a loan that can be used to fund either immediate consumption or a productive investment. Arrange the following steps in the correct logical order to construct the feasible frontier representing all possible combinations of 'consumption now' and 'consumption later'.
Evaluating Competing Investment Opportunities
An individual has an investment opportunity that can be funded entirely by borrowing. This opportunity is represented by a linear feasible frontier on a graph with 'Consumption Now' on the horizontal axis and 'Consumption Later' on the vertical axis. An analyst makes the following claim: 'If the maximum amount you can borrow for this project increases, while the project's rate of return remains constant, the investment itself becomes more profitable.' Which of the following best evaluates this claim?
An entrepreneur has an opportunity to invest in a new project. They can borrow up to $50,000 at an interest rate of 12% to fund the project. For every dollar invested, the project is expected to generate $1.90 in future income. On a graph with 'Consumption Now' on the horizontal axis and 'Consumption Later' on the vertical axis, what is the Marginal Rate of Transformation (the absolute value of the slope) of the new feasible frontier created by this investment opportunity?
Figure 9.13: Julia's Feasible Frontiers for Borrowing and Investment