Evaluating a Constrained Consumption Choice
An individual has an endowment of $100 in future income and $0 in present income. Their only financial option is to borrow against their future income at an interest rate of 78%. After considering their personal preferences for consuming now versus later, they choose a consumption plan of $35 now and $38 in the future. A friend argues this is a terrible financial decision because the high interest rate means they are 'losing' a large amount of future consumption. Evaluate the friend's argument. From the perspective of economic rationality and utility maximization, is the individual's choice necessarily 'terrible'? Justify your reasoning.
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CORE Econ
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Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
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Evaluating a Constrained Consumption Choice
An individual has an endowment of $100, which will be received in the future. They can borrow against this future income at an interest rate of 78% to finance current consumption. Given their personal preferences for consumption now versus later, their optimal choice is to consume $35 now and have $38 remaining for future consumption. Which statement best explains why this specific combination is their optimal choice?
Evaluating a Consumption-Borrowing Plan
Calculating Future Consumption with Borrowing
An individual has a guaranteed income of $200 to be received one year from now and can borrow against it at a 50% interest rate. The individual chooses to consume $80 now and will have $80 remaining for consumption in one year. This consumption plan is considered optimal because the amount of consumption is the same in both periods.
An individual has a future income of $100 and can borrow against it at a 78% interest rate. Their optimal choice is to consume $35 now and have $38 remaining for future consumption. Match each concept from this scenario to its correct description or value.
An individual with a future endowment chooses an optimal consumption plan by borrowing at a 78% interest rate. At this optimal point, the individual's personal trade-off—the amount of future consumption they are willing to give up for one extra dollar of consumption today—must be equal to ____.
Analysis of a Sub-Optimal Consumption Choice
Optimizing Intertemporal Consumption
An individual expects to receive an income of $100 one year from now and has no income today. They can borrow money at an interest rate of 78%. They are currently considering a consumption plan where they borrow enough to spend $20 today. At this specific consumption level, their personal valuation is such that they are willing to trade $2.00 of future consumption for one additional dollar of consumption today. To reach their optimal consumption plan, what should this individual do?