Figure 9.10 (Marco Gets a Loan): Marco's Choice When He Can Invest and Borrow
The diagram illustrates Marco's optimal consumption choice when he can both invest and borrow. The horizontal axis, representing 'consumption now', ranges from $0 to $150, while the vertical axis, showing 'consumption later', extends from $0 to $160. Starting from his endowment at point (100, 0), the graph shows two feasible frontiers. The first, labeled 'FF (invest grain, 50% return)', connects (100, 0) to (0, 150), with the 'Marco’s IC' curve being tangent at point K (60, 60). A second, expanded frontier, 'FF (invest grain, 50% return; borrow at 10%)', connects (136, 0) to (0, 150). Marco's ultimate optimal choice is at point L (80, 62), where his 'Marco’s IC (very high utility)' curve is tangent to this new frontier.
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Ch.9 Lenders and borrowers and differences in wealth - The Economy 2.0 Microeconomics @ CORE Econ
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Figure 9.9: Marco's Choice When He Can Invest
Figure 9.10 (Marco Gets a Loan): Marco's Choice When He Can Invest and Borrow
A farmer named Marco starts with an endowment of $100 worth of grain and no future income. He decides to consume $60 worth of grain immediately. For the remaining $40, he considers two strategies: 1) Plant it as seed, which is expected to yield a 50% return on the amount planted. 2) Store it in a silo, where 20% of it will be lost to spoilage. What is the difference in the future value of his remaining grain between planting it and storing it?
Marco's 'Invest-it-All' and Borrow Strategy
Analyzing an Agricultural Investment
A farmer has an endowment of $100 worth of grain. He can choose to consume it now or plant it as seed. If he plants the entire amount, he can expect a future harvest valued at $150. Based on this investment opportunity, for every one dollar's worth of grain the farmer forgoes consuming now to plant as seed, he can expect to gain ____ dollars' worth of grain in the future.
Farmer's Investment Decision
A farmer has an initial endowment of $100 worth of grain. He can either consume the grain now or plant it as seed. If he plants the grain, he can expect a 50% return on the amount invested. Which of the following statements best describes the farmer's set of possible consumption choices (his feasible set) resulting from this investment opportunity?
A farmer has an endowment of $100 worth of grain. If he plants the entire amount as seed, he can expect a future harvest valued at $150. True or False: If this farmer chooses to consume some grain now and plant the rest, the total nominal value of his consumption across both periods (the amount consumed now plus the amount consumed in the future) will always sum to $150.
Analyzing Investment Trade-offs
A farmer has an initial endowment of $100 worth of grain. He can consume some of it now and plant the rest as seed, which yields a 50% return. Match each of the farmer's possible choices for 'consumption now' with the correct corresponding 'consumption later'.
A farmer starts with an endowment of $100 worth of grain. He can consume some grain now and plant the rest as seed, which provides a 50% return. If he decides to consume $20 worth of grain now, arrange the following steps in the correct logical order to determine the maximum value of grain he can consume in the future.
Evaluating an Agricultural Investment Strategy
Farmer's Investment Decision
Figure 9.11: Summary of Marco's Financial Options
Figure 9.10 (Marco Gets a Loan): Marco's Choice When He Can Invest and Borrow
An individual has $200 available today and no income expected in the future. They have access to a one-time investment opportunity that yields a 40% return, and they can also borrow funds at a 15% interest rate. They decide to implement a strategy where they invest their entire $200 today and then immediately borrow against the future proceeds to maximize their current consumption. What is the maximum amount they can consume today, assuming they must be able to fully repay the loan with their investment earnings in the future?
An individual has an investment opportunity that yields a 20% return and can borrow money at an interest rate of 25%. For this individual, a strategy of investing their entire endowment and then borrowing against the future proceeds will expand their feasible consumption possibilities compared to only having the investment option.
Evaluating a Farmer's Financial Strategy
A company in the highly competitive smartphone market launches an extensive advertising campaign. The campaign focuses on the phone's unique camera features, sleek design, and association with a trendy lifestyle, rather than its price. Subsequently, the company raises the price of its phone by 8%, but experiences only a 3% drop in sales. In contrast, a competitor who raises their price by the same amount sees a 15% drop in sales. Which economic principle best explains this difference in outcomes?
A coffee grower has an entire harvest of beans worth $50,000 today. They have two options: sell the beans now for immediate cash, or roast and package them, which will make them worth $80,000 in one year. The grower can also secure a loan at an annual interest rate of 10%. If the grower decides to process the beans for their future value and simultaneously takes a loan for immediate expenses, what is the fundamental reason this combined approach can lead to a better outcome than simply selling the beans now or waiting a year to consume the profits?
Evaluating a Financial Strategy
Investment Decision Scenario
Calculating Optimal Consumption Across Time
An individual has an endowment consisting entirely of consumption available today. They discover a productive investment opportunity that yields a 50% return, available in the future period. They also have access to a credit market where they can borrow at a 10% interest rate. If this individual chooses to invest their entire endowment and then borrow against the future returns to fund current consumption, how does this combined strategy alter their feasible consumption frontier compared to a situation where they could only invest?
Calculating Future Consumption with a Combined Strategy
Figure 9.10 (Marco Gets a Loan): Marco's Choice When He Can Invest and Borrow
An individual has an initial endowment of $1,000. They have a one-time opportunity to invest this entire amount, which will result in a guaranteed payout of $1,400 one year from now (a 40% return). They can also borrow money from a bank at an interest rate of 12%. To maximize their total consumption possibilities across both the current and future year, which of the following financial plans should they choose?
Optimal Financial Strategy Analysis
Maximizing Current Consumption
An individual has an initial endowment that can be consumed today. They also have an opportunity to invest this entire endowment for one year, which yields a 25% return. Additionally, they can borrow money at an interest rate of 15%. Why does the strategy of investing the entire endowment and then borrowing for current consumption expand the individual's total possible consumption across both today and the future?
An individual has an initial endowment, an investment opportunity with a 50% return, and the ability to borrow money at a 10% interest rate. To maximize their total consumption possibilities across the present and future, they decide to invest their entire endowment and borrow for current spending. Arrange the following actions into the correct logical sequence.
An individual has an initial endowment, an investment opportunity that provides a 15% return, and the ability to borrow money at an interest rate of 20%. To maximize their total consumption possibilities across both the present and the future, this individual should invest their entire endowment and then borrow to fund their current consumption.
Optimal Financial Strategy Recommendation
An individual has an initial endowment, a high-return investment opportunity, and access to a loan with an interest rate lower than the investment return. Match each financial component or action with its correct description in this context.
Evaluating Financial Strategies
An individual has an opportunity to invest their entire endowment for a 30% return. They can also borrow money at an interest rate of 8%. To expand their total consumption possibilities across both the present and the future, this individual should pursue the 'invest-and-borrow' strategy because the rate of return on the investment is ______ the interest rate on the loan.
An individual has an initial endowment that can be consumed today. They also have an opportunity to invest this entire endowment for one year, which yields a 25% return. Additionally, they can borrow money at an interest rate of 15%. Why does the strategy of investing the entire endowment and then borrowing for current consumption expand the individual's total possible consumption across both today and the future?