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Lubov Fominskaja [6]
3 years ago
5

Suppose the marginal propensity to consume is 0.8 and the government votes to increase taxes by $3 billion. Round to the nearest

tenth if necessary. Assume the tax rate and the marginal propensity to import are 0.
a. Calculate the tax multiplier.
b. Calculate the resulting change in the equilibrium quantity of real GDP demanded.
Business
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

a) -4

b) -12 billion

Explanation:

Question 1) Calculate the Tax Multiplier

FIrst, we know that the Marginal Propensity to Consume = 0.8

Based on this, the formula is as follows:

Multipier = -Marginal Propensity to Consume/ (1-Marginal Propensity to Consume)

Multiplier = -0.8/ (1-0.8) = -0.8/ 0.2 = -4

The Tax  Multiplier = -4

Question 2) The resulting change in the equilibrium quantity of real GDP demanded

Change in Demand = Change in Tax x The Tax Multiplier

Change in Demand = $3 billion x -4

= -12

This means that the equilibrium quantity of the real GDP is -12 billion

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Answer:

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Using this formula

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54.55%

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fiasKO [112]

Answer:

<h3>In case of b, c, d ,e volatility is less than that of original stock</h3>

Explanation:

The formula to compute the volatility of a portfolio

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

Here,

The standard deviation of the first stock is σ₁

The standard deviation of the second stock is σ₂

The weight of the first stock W₁

The weight of the second stock W₂

The correlation between the stock c

a) If the correlation between the stock is +1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times1} \\\\=0.33

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=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.5} \\\\=0.29

Hence, the volatility of the portfolio is 0.29 0r 29%

c) If the correlation between the stock is 0.00

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

=\sqrt{(0.5\times0.33)^2+(0.5\times0.33)^2+(2\times(0.5\times 0.33)\times(0.5\times0.33)\times0.0} \\\\=0.23

Hence, the volatility of the portfolio is 0.23 0r 23%

d) If the correlation between the stock is -0.50

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e) If the correlation between the stock is -1

=\sqrt{W_1^2\sigma_1^2+W_2^2\sigma_2^2+2W_1W_2\sigma_1\sigma_2*c}

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Hence, the volatility of the portfolio is 0

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