IAI Actuarial Core Principles · Economic Modelling · Rational choice theory and utility
In prospect theory, as proposed by Kahneman and Tversky, which feature of the value function best captures loss aversion?
Loss aversion is captured by a value function that is steeper for losses than for equal-sized gains measured from the reference point, so losses loom larger than gains. Symmetry or linearity would remove loss aversion.
- AIt is steeper for losses than for gains of the same size relative to the reference pointCorrect
- BIt is concave for losses and convex for gains
- CIt is linear in wealth for both gains and losses
- DIt is defined over final wealth levels rather than changes from a reference point
- It is symmetric about the reference point
Explanation
Prospect theory defines value over gains and losses relative to a reference point. The function is steeper for losses, so a loss hurts more than an equal gain pleases. Symmetry would imply no loss aversion, and concave gains with convex losses describes diminishing sensitivity, not loss aversion.
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