An individual has $100 of consumption available today and can lend money at a 20% interest rate. They are considering a plan where they consume some money today and lend the rest. At their currently considered consumption plan, their personal willingness to trade one dollar of consumption today for dollars of consumption in the future is 1.1. Given that the market allows them to trade one dollar today for $1.20 in the future, which of the following actions would allow the individual to reach a higher level of satisfaction, and why?

Analyzing an Individual's Lending Decision

Condition for Optimal Lending

An individual has found their optimal combination of consumption today and consumption tomorrow by lending some of their initial endowment. At this optimal point, any further lending would place them on a lower indifference curve.

An individual has found their optimal combination of consumption today and consumption tomorrow by lending some of their initial endowment. At this optimal point, any further lending would place them on a lower indifference curve.

An individual is deciding how much of their current income to consume now versus lend for future consumption. Match each economic condition described below with the individual's best course of action to maximize their satisfaction.

Justification of the Optimal Consumption-Lending Choice

An individual is choosing how much of their initial income to consume today versus lend at a given interest rate for consumption in the future. They have selected a consumption plan that provides them with the highest possible level of satisfaction. At this chosen point, which of the following relationships must hold true?

An individual with an initial endowment of $500 today and no income in the future can lend money at an interest rate of 15%. After careful consideration, they choose a consumption plan that maximizes their satisfaction. At this optimal point, their personal willingness to substitute one dollar of consumption today for future consumption must be exactly ____ dollars in the future.

Evaluating a Lending Decision