An individual can choose combinations of 'consumption now' and 'consumption later'. Their possible combinations are defined by a feasible frontier, and their preferences are shown by indifference curves. They find their optimal choice at Point I, where they consume $35 now and have $63 for later consumption. At this point, their indifference curve is tangent to the feasible frontier. Now, consider a different point on the same feasible frontier, Point H, which involves more consumption now and less later than Point I. Why is Point H considered a sub-optimal choice?

Evaluating an Optimal Consumption Choice

An individual makes choices about consumption now versus consumption later. Initially, their best possible choice is to consume $35 now and $38 later. After a new investment opportunity becomes available, their feasible set of choices expands, and their new optimal choice is to consume $35 now and $63 later. Which statement correctly analyzes why the new choice represents a better outcome?

Conditions for Optimal Consumption Choice with Investment

An individual is choosing between consumption now and consumption later. They have an investment opportunity where for every $1 of consumption they forgo now, they will have $3 in consumption later. They are currently considering a consumption plan where their personal willingness to trade is such that they would be equally happy to give up $2 of future consumption to gain $1 of present consumption. To reach a more preferred outcome, what should this individual do?

An individual has an endowment of $100 available in one year, and $0 today. They can borrow against this future endowment at a 78% interest rate. If they do this, their most preferred choice is to have $35 for consumption today and $38 for consumption in one year.

Alternatively, they can first undertake an investment project. After accounting for the project's returns, they can then borrow. This new opportunity allows them to reach a different optimal choice: $35 for consumption today and $63 for consumption in one year.

Which statement best analyzes the effect of the investment project on the individual's choice?

An individual has an investment opportunity that yields a 200% return. Their optimal choice is to consume $35 now and have $63 for future consumption. At this specific consumption level, the individual would be willing to give up $1 of current consumption for exactly $3 of future consumption.

Evaluating a Sub-Optimal Consumption Choice

An individual is deciding between consumption now and consumption later. They have an investment opportunity where the rate of transformation is 3: for every $1 of consumption they forgo now, they gain $3 in future consumption. After careful consideration of their personal preferences, they determine their optimal choice is to consume $35 now and have $63 for the future. At this point, their personal willingness to trade off present for future consumption is perfectly aligned with the investment's rate of transformation.

An advisor tells them, 'A 200% return is fantastic! You should consume even less than $35 now to invest more and further increase your future consumption.'

Evaluate this advisor's recommendation.

Determining Personal Preference at the Optimal Point