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    Northwest Florida State College
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Category > Economics Posted 03 May 2017 My Price 9.00

Stone–Geary preferences.

Stone–Geary preferences. Assume that the usual conditions of the Ramsey model hold, except that the representative household’s instantaneous utility function is modified from equation (2.10) to the Stone–Geary form: u(c) = (c − ¯ c)1−θ – 11 – θ where ¯ c ≥ 0 represents the subsistence level of per capita consumption.

a. What is the intertemporal elasticity of substitution for the new form of the utility function?

If ¯ c > 0, how does the elasticity change as c rises?

b. How does the revised formulation for utility alter the expression for consumption growth in equation (2.9)? Provide some intuition on the new result.

c. How does the modification of utility affect the steady-state values ˆk∗ and ˆ c∗?

d. What kinds of changes are likely to arise for the transitional dynamics of ˆk and ˆ c and, hence, for the rate of convergence? (This revised system requires numerical methods to generate exact results.)

 

 

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Status NEW Posted 03 May 2017 12:05 PM My Price 9.00

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