Question: Assume that a consumer's utility function is U(c1,c2)=(c 1 p +c 2 p ) 1/p with equal to -0.5 , where c1 denotes consumption in

Assume that a consumer's utility function is U(c1,c2)=(c₁^p+c₂^p)^1/pwith equal to -0.5 , where c1 denotes consumption in 2020, and c2 denotes consumption in 2021. The consumer's income in 2020 will be 20.000 dollars, in 2021 it will be 0 dollars: thus the consumer has to save part of his 2020 income to consume in 2021. The interest rate between the two periods is 10%.

What is the substitution effect of this change in interest rate on 2020 consumption (using Hicksian decomposition)?

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