Alpha Geek
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4.  Discuss how the level of output per person in the long run would likely be affected by each of the following changes:
a.   The right to exclude saving from income when paying in- come taxes.
b.  A higher rate of female participation in the labor market (but constant population).
5. Suppose the United States moved from the current pay-as-
you-go Social Security system to a fully funded one, and financed the transition without additional government borrowing. How would the shift to a fully funded system affect the level and the rate of growth of output per worker in the long run?
6.  Suppose that the production function is given by
YÂ = 0.5 1KÂ 1N
a.   Derive the steady-state levels of output per worker and capital per worker in terms of the saving rate, s, and the depreciation rate, d.
b.  Derive the equation for steady-state output per worker and steady-state consumption per worker in terms of s and d.
c.   Suppose that d  0.05. With your favorite spread- sheet software, compute steady-state output per worker and steady-state consumption per worker for s = 0; s = 0.1; s = 0.2; c ; s = 1. Explain the intuition behind your results.
d.  Use your favorite spreadsheet software to graph the steady- state level of output per worker and the steady-state level of consumption per worker as a function of the saving rate (i.e., measure the saving rate on the horizontal axis of your graph and the corresponding values of output per worker and consumption per worker on the vertical axis).
e.   Does the graph show that there is a value of s that  maxi-
mizes output per worker? Does the graph show that there is a value of s that maximizes consumption per worker? If so, what is this value?
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