ECON: MICRO4 (New, Engaging Titles from 4LTR Press)
ECON: MICRO4 (New, Engaging Titles from 4LTR Press)
4th Edition
ISBN: 9781285423548
Author: William A. McEachern
Publisher: Cengage Learning
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Chapter 13, Problem 1.2PA
To determine

To find:

The marginal cost of investing in the firm when we are given the expected rate of return and the market rate of interest.

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A firm faces the following production function, Y = AKα L¹-a (1) Here Y is output, K is capital, L is fixed labour, and A is a measure of technology. The firm uses an optimal amount of capital determined by the condition, MPK = r +8 (2) Where MPK is the marginal productivity of capital, r is the real interest rate, and ♪ is the depreciation rate. (a) Using equations (1) and (2) find an expression for K*, the optimal amount of capital the firm should use. [3 marks] (b) Referring to your result from part (a), comment on what happens to K* when each of the following variables change (holding other variables constant), (i) The measure of technology (A) falls (ii) The depreciation rate (8) increases (iii) The real interest rate (r) increases [2 marks] [2 marks] [2 marks] [Hint: For each of parts (i)-(iii) you are being asked to comment on what happens to K* if just the variable mentioned in the question part changes. Your answer should state whether K* increases, decreases, or stays the…
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