Table 2.
Comparative Statics of SVRRs and VSL with respect to Income and Survival Probability.
Income: Single-period difference | Income: permanent difference | Survival probability: single-period difference | Survival probability: permanent difference | |
---|---|---|---|---|
Utilitarian SVRR |
Past period: Unchanged Current period: Increasing Future period: Increasing |
Increasing |
Current period: Unchanged Future period: Increasing |
Increasing |
Ex Ante Prioritarian SVRR |
Past period: Decreasing Current period: Ambiguous* Future period: Ambiguous* |
Ambiguous |
Current period: Decreasing Future period: Ambiguous* |
Ambiguous |
Ex Post Prioritarian SVRR |
Past period: Decreasing Current period: Increasing Future period: Increasing |
Ambiguous |
Current period: Unchanged Future period: Increasing |
Increasing |
VSL |
Past period: Unchanged Current period: Increasing Future period: Increasing |
Increasing |
Current period: Decreasing Future period: Increasing |
Ambiguous |
The ex ante prioritarian SVRR increases with a single-period increment to current or future income, and increases with a single-period increment to future survival probability, if g(·) is such that its coefficient of relative risk aversion is always less than or equal to 1.