MACROECONOMICS (LL)
MACROECONOMICS (LL)
21st Edition
ISBN: 9781260186949
Author: McConnell
Publisher: MCG
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Chapter 1.A, Problem 6AP

Subpart (a):

To determine

The relationship between the variables.

Subpart (b):

To determine

The relationship between the variables.

Subpart (c):

To determine

The relationship between the variables.

Subpart (d):

To determine

Calculation of consumption.

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Linear equations for the consumption and saving schedules take the general form C = a + bY and S = -a + (1 - b)Y, where C, S, and Y are consumption, saving, and national income, respectively. The constant a represents the vertical intercept, and b represents the slope of the consumption schedule.a. Use the following data to substitute numerical values for a and b in the consumption and saving equations. b. What is the economic meaning of b? Of (1 - b)? c. Suppose that the amount of saving that occurs at each level of national income falls by $20 but that the values of b and (1 - b) remain unchanged. Restate the saving and consumption equations for the new numerical values, and cite a factor that might have caused the change.
Suppose that when the interest rate on loans is 16 percent, businesses find it unprofitable to invest in machinery and equipment. However, when the interest rate is 14 percent, $5 billion worth of investment is profitable. At 12 percent interest, a total of $10 billion of investment is profitable. Similarly, total investment increases by $5 billion for each successive 2-percentagepoint decline in the interest rate. Describe the relevant relationship between the interest rate and investment in a table, on a graph, and as an equation. Put the interest rate on the vertical axis and investment on the horizontal axis. In your equation use the form i = a + bI, where i is the interest rate, a is the vertical intercept, b is the slope of the line (which is negative),and I is the level of investment.
Q1. Consider the following two-period model of consumption and saving: Utility = C1^0.5 + B*C2^0.5 C1 + C2/(1+r) = Y1 + Y2/(1+r) where Y1 = 4, Y2 = 1, r = 0.17 and B = 0.5. Find a numerical solution for period 1 consumption, C1. (State your answer to 2 decimal places.)
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