Question 1

MM Proposition II is the proposition that:

Accepted Answer

MM Proposition II posits that a firm's cost of equity capital is a positive linear function of its capital structure, meaning that as a firm increases its leverage, its cost of equity also increases. This reflects the increased risk to equity holders as more debt is taken on.

Question 2

Uptown Interior Designs is an all equity ﬁrm that has 40,000 shares outstanding.The company has decided to borrow €1 million to buy out the shares of a deceased equityholder who holds 2,500 shares.What is the total value of this ﬁrm
If you ignore taxes?

Accepted Answer

To find the total value of the firm, we need to add the value of the equity and the value of the debt. 
Number of shares outstanding = 40,000
Price per share = Total equity value / Number of shares outstanding
We don't know the price per share, but we can use the fact that the deceased equityholder holds 2,500 shares to find the price per share:
2,500 shares / 40,000 shares = 0.0625 or 6.25%
So the deceased equityholder owns 6.25% of the equity of the firm. If we assume that the value of the firm is the same before and after the buyout (ignoring the effects of the debt), then the deceased equityholder's share is worth:
6.25% x Total equity value = Value of 2,500 shares = €1 million
Solving for Total equity value:
Total equity value = €1 million / 6.25% = €16 million
The total value of the firm is then:
Total value = Total equity value + Debt amount = €16 million + €1 million = €17 million
So the closest answer choice is C, €16.0 million.

Question 3

Which of the following statements are correct in relation to MM Proposition II with no taxes? I.The return on assets is equal to the weighted average cost of capital.
II)Financial risk is determined by the debt-equity ratio.
III)Financial risk determines the return on assets.
IV)The cost of equity declines when the amount of leverage used by a ﬁrm rises.

Accepted Answer

Statement I is true according to MM Proposition II with no taxes. Statement II is also true because financial risk is determined by the debt-equity ratio. However, Statement III is false, as financial risk does not directly determine the return on assets, but rather can affect it indirectly by changing the cost of capital. Statement IV is also false; the cost of equity actually increases as the amount of leverage used by a firm rises, due to increased financial risk.

Question 4

The proposition that the value of a levered ﬁrm is equal to the value of an unlevered ﬁrm is known as:

Accepted Answer

MM Proposition I with no tax states that the value of a levered firm is equal to the value of an unlevered firm in a world without taxes, bankruptcy costs, and asymmetric information.

Question 5

Which of the following will tend to diminish the beneﬁt of the interest tax shield given a progressive tax rate structure? I. A reduction in tax rates.
II) A large tax loss carry forward.
III) A large depreciation tax deduction.
IV) A sizeable increase in taxable income.

Accepted Answer

I, II, and III will tend to diminish the benefit of the interest tax shield in a progressive tax rate structure. A reduction in tax rates (I) directly reduces the tax shield's value. A large tax loss carryforward (II) means the company may not owe taxes against which to shield. A large depreciation tax deduction (III) can also reduce taxable income, diminishing the shield's value. A sizeable increase in taxable income (IV) would not diminish the benefit of the interest tax shield; it could actually increase it by providing more income against which to shield.

Question 6

MM Proposition II with taxes:

Accepted Answer

MM Proposition II with taxes states that the value of a firm is still dependent on its earnings and the risk of its assets, but now also includes the benefit of the interest tax shield. This proposition still supports the idea that the capital structure decision does not affect the value of a firm, just as MM Proposition II without taxes did. Therefore, it has the same general implications as MM Proposition II without taxes.

Question 7

MM Proposition I with corporate taxes states that:

Accepted Answer

MM Proposition I with corporate taxes posits that a firm can increase its value by increasing its debt due to the tax shield benefits of debt financing.

Question 8

MM Proposition I with no tax supports the argument that:

Accepted Answer

MM Proposition I with no tax essentially states that the value of a firm is not affected by its financial structure. In other words, it suggests that it is completely irrelevant how a firm arranges its finances. Therefore, choice C is the correct answer. Choice A is incorrect because the proposition does not address business risk. Choice B is incorrect because it refers to MM Proposition II, which involves taxes. Choice D is incorrect because it refers to the trade-off theory of capital structure, which also involves taxes. Choice E is incorrect because it suggests that financial risk is solely determined by the debt-equity ratio, which is not necessarily true according to MM Proposition I.

Question 9

The reason that MM Proposition I does not hold in the presence of corporate taxation is because:

Accepted Answer

MM Proposition I states that the value of a firm is independent of its capital structure. However, in the presence of corporate taxation, levered firms pay less taxes compared with identical unlevered firms. This means that the value of a firm is influenced by its capital structure, and MM Proposition I does not hold.

Question 10

MM Proposition I with taxes is based on the concept that:

Accepted Answer

MM Proposition I with taxes states that the value of the firm increases as total debt increases due to the interest tax shield. This means that the optimal capital structure involves using some level of debt financing to take advantage of the tax benefits, which results in a higher overall value for the firm.

Question 11

The interest tax shield is a key reason why:

Accepted Answer

The interest tax shield refers to the tax savings a firm receives from deducting interest payments on debt from its taxable income. This tax savings effectively reduces the net cost of debt to the firm, making it generally less than the cost of equity. Therefore, choice C is the best choice as it accurately describes the role of the interest tax shield in reducing the net cost of debt to the firm.

Question 12

The interest tax shield has no value for a ﬁrm when: I.the tax rate is equal to zero.
II)the debt-equity ratio is exactly equal to 1.
III)the ﬁrm is unlevered.
IV)a ﬁrm elects 100% equity as its capital structure.

Accepted Answer

The interest tax shield refers to the tax saving achieved by a firm due to the tax-deductible nature of interest expenses. It has no value when the tax rate is zero (I) because there are no taxes to save on, when the firm is unlevered (III) because there is no debt and thus no interest expense to deduct, and when a firm elects 100% equity as its capital structure (IV) because, again, there is no debt. The debt-equity ratio being equal to 1 (II) does not inherently negate the value of the interest tax shield.

Question 13

The concept of homemade leverage is most associated with:

Accepted Answer

The answer of The concept of homemade leverage is most...

Question 14

A ﬁrm should select the capital structure which:

Accepted Answer

The goal of financial management is to maximize the value of the firm, and the capital structure decision plays an important role in achieving this goal. A correctly chosen capital structure can lower the cost of capital and increase the value of the firm. However, if the firm chooses an excessively high level of debt, the costs associated with financial distress may offset the benefits of the lower cost of capital. Therefore, the optimal capital structure is one that balances the benefits and costs of debt financing and maximizes the overall value of the firm.

Question 15

Thompson & Thomson is an all equity ﬁrm that has 500,000 shares outstanding.The company is in the process of borrowing €8 million at 9% interest to repurchase 200,000 shares of the outstanding equity.What is the value of this
ﬁrm if you ignore taxes?

Accepted Answer

The value of the firm does not change due to the financing decision according to the Modigliani-Miller theorem without taxes. The firm is simply replacing equity with debt, but the total value remains the same.

Question 16

The capital structure chosen by a ﬁrm doesn't really matter because of:

Accepted Answer

Homemade leverage refers to the ability of investors to create their own leverage by borrowing on their own, rather than relying on the company to do so. This concept is central to the Modigliani-Miller theorem, which posits that under certain conditions, the capital structure of a company (i.e., the mix of debt and equity financing) does not affect its overall value. This is because investors can replicate the effects of corporate leverage through personal borrowing, making the firm's choice of capital structure irrelevant to its value.

Question 17

In a world of no corporate taxes if the use of leverage does not change the value of the levered ﬁrm relative to the unlevered ﬁrm this is known as:

Accepted Answer

According to MM Proposition I, the market value of the firm is invariant to the capital structure in a world with no taxes. This means that the use of leverage does not change the overall value of the firm, so the choice D is correct. Proposition III states that the cost of equity is greater in levered firms, and Proposition II states that the cost of equity increases with leverage, but neither of these propositions is applicable in a world with no taxes. The statement in choice E is also not true, as there is still risk associated with leverage even without taxes.

Question 18

MM Proposition I with taxes supports the theory that:

Accepted Answer

MM Proposition I with taxes states that the value of a levered firm is equal to the value of an unlevered firm plus the present value of the tax shield on debt, indicating a positive relationship between debt and firm value.

Question 19

Bryan invested in Bryco NV shares when the ﬁrm was ﬁnanced solely with equity.The ﬁrm is now utilizing debt in its capital structure.To unlever his position, Bryan needs to:

Accepted Answer

To unlever his position, Bryan needs to create a personal debt-equity ratio equal to that of the firm. This means he needs to introduce some debt into his personal portfolio. Option D suggests selling some shares of Bryco and loaning out the proceeds, which will create a personal debt-equity ratio equal to that of the firm. This allows Bryan to remove the impact of the firm's debt from his investment and evaluate the performance of Bryco solely based on the firm's operations.

Question 20

The change in ﬁrm value in the presence of corporate taxes only is:

Accepted Answer

When a firm takes on debt, it gains tax shield on interest payments since interest expenses are tax deductible. This tax shield benefits equityholders by reducing the firm's overall tax liability, which increases the firm's value. Therefore, the presence of corporate taxes can have a positive effect on firm value as equityholders gain the tax shield on the debt interest.

Quiz 15: Capital Structure: Basic Concepts