Marco and Sofia are both considering a plan that requires them to give up $100 of consumption today. To be willing to make this sacrifice, Marco requires a guaranteed $110 of consumption one year from now. Sofia, for the same $100 sacrifice today, requires a guaranteed $130 of consumption one year from now. Assuming their preferences are represented by indifference curves for present versus future consumption, which of the following is true?

Analyzing Time Preferences via Indifference Curve Slopes

Evaluating Time Preferences from Consumption Choices

Consider two individuals, Alex and Ben, whose preferences for consumption today versus consumption in the future are represented by indifference curves. At a point where they have identical consumption bundles, the slope of Alex's indifference curve is steeper than the slope of Ben's indifference curve. This means Alex is more patient than Ben.

Two individuals, Liam and Priya, describe the minimum future compensation they would require to give up $10 of consumption today.

• Liam: "To give up $10 today, I would need at least $11 a year from now to be just as happy."
• Priya: "To give up $10 today, I would need at least $15 a year from now to be just as happy."

Based on these statements, match each individual to the geometric property of the indifference curve that represents their preferences at this trade-off point.

When comparing two individuals' indifference curves for present and future consumption at the same point, the individual with the steeper curve is considered more ________ because they require a greater amount of future consumption to compensate for giving up a unit of present consumption.

Explaining the Link Between Indifference Curve Steepness and Impatience

Evaluating Investment Product Designs

Consider a diagram where the horizontal axis represents 'Consumption Today' and the vertical axis represents 'Consumption Tomorrow'. Two individuals, Chen and David, have the same initial combination of present and future consumption, represented by Point A on the diagram. An indifference curve for Chen (IC_Chen) and an indifference curve for David (IC_David) both pass through Point A. At Point A, IC_Chen is visibly steeper than IC_David. Based on this information, what can be concluded about their time preferences?

Public Project Decision-Making and Community Time Preference