The Two Sides of an Interest Rate
Using the information in the case study below, analyze how the 'price' of shifting consumption between today and one year from now is interpreted differently by the Saver and the Borrower, even though the numerical value of this price is the same for both.
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Two individuals can trade consumption between today and one year from now. The terms of this trade-off are that for every $1.00 of consumption given up today, an individual receives $1.10 in one year. Person A has no income today but is guaranteed to receive $110 in one year. Person B has $100 today but no income in one year. If Person A decides to consume today (by borrowing) and Person B decides to save some of their income for the future (by lending), what is the best explanation for their different choices despite facing the identical trade-off?
The Two Sides of an Interest Rate
In a model of intertemporal choice, the term (1 + r) represents the trade-off between consuming now and consuming later, where 'r' is the interest rate. This term acts as a 'price' for shifting consumption through time. Match the role of this 'price' to the correct description for a borrower and a lender.
In a model where individuals can trade consumption between the present and the future, an increase in the interest rate makes it more costly for a borrower to consume more in the present. For a lender, this same increase in the interest rate represents a lower opportunity cost of consuming in the present.
The Dual Nature of the Intertemporal Price
Evaluating Consumption Choices Under a Common Price
Intertemporal Choice Scenario
In a model of intertemporal consumption, the 'price' of shifting $1 of consumption from the future to the present is $1.08. This implies that the annual interest rate, 'r', is ____%.
An individual has no income today but expects to receive a large sum of money in one year. They decide to consume a portion of that value today. Arrange the following statements into the logical sequence that describes their decision-making process.
In a simple two-period model, Alex has an income of $200 today and no income in the future, while Ben has no income today but will receive $220 in the future. Both can borrow or lend at an interest rate of 10%. Which statement correctly analyzes the trade-off each person faces between present and future consumption?