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?