week 9 Flashcards
what is capital structure
the mix of debt and equity that it uses to finance its activities.
what is the optimal capital structure
¡The capital structure which maximises the value of
a company.
why do firms borrow if it involves extra risk?
by borrowing, a company may be able to increase the rate of return earned by its shareholders.
this effect is known as financial leverage which is measured by debt-equity ratio or debt-total assets ratio
If the rate of return on a company’s assets is greater than the interest rate on its debt
borrowing will increase the rate of return to shareholders.
vice versa
Financing a Firm with Equity
nUnlevered Equity
what does this mean
¡Equity in a firm with no debt
nBecause there is no debt, the cash flows of the unlevered equity are equal to those of the project.
what happens when the project’s cash flow will always be enough to repay the debt
the debt is risk free and you can borrow at the risk-free interest rate of 5%
Modigliani and Miller argued that
with perfect capital markets, the total value of a firm should not depend on its capital structure; the company is independent of its capital structure
describe the law of one price
the cash flows of the debt and equity equal to the sum to the cash flows of the project
Leverage increases the
therefore?
nthe risk of the equity of a firm.
investors in levered equity will require a higher expected return to compensate for the increased risk.
when The project cash flows depend on the overall economy
what exists? what will you do?
market risk
As a result, you demand a 10% risk premium over the current risk-free interest rate of 5% to invest in this project.
Leverage increases the risk of equity even when
there is no risk that the firm will default.
while debt may be cheaper, its use
_______
Considering both sources of capital together _________
raises the cost of capital for equity
. Considering both sources of capital together, the firm’s average cost of capital with leverage is the same as for the unlevered firm.
Modigliani & Miller Analysis
is based on what assumptions?
- Securities issued by companies are traded in a perfect capital market; this is a frictionless market in which there are no transaction costs and no barriers to the free flow of information.
- There are no taxes.
- Companies and individuals can borrow at the same interest rate.
- There are no costs associated with the liquidation or reorganisation of a company in financial difficulty.
- Companies have a fixed investment policy so that investment decisions are not affected by financing decisions.
MM’s Proposition 1
The market value of any firm is independent of its capital structure
if a company has a given investment policy, then changing its ratio of debt to equity will change the way in which its net operating cash flows generated by assets are divided between lenders and shareholders, but will not change the total value of the cash flows.
- Regardless of how they are divided, their total size remains the same. Therefore, the value of the company’s assets remains the same.
- that the firm’s total cash flows still equal the cash flows of the project, and therefore have the same present value.
- Therefore, the value of the company will not change.
Proposition 1: Proof
nTwo companies that have the same assets but different capital structures are, under the assumptions, perfect substitutes. As such, perfect substitutes should have the same value.
Proposition 1: Proof
what can investors create?
The proof provided by MM is based on the idea that investors can create homemade leverage
- ¡When investors use leverage in their own portfolios to adjust the leverage choice made by the firm.
¡MM demonstrated that if investors would prefer an alternative capital structure to the one the firm has chosen, investors can borrow or lend on their own and achieve the same result.
What if …nThe companies were not selling for the same price?
nArbitrage profits could be earned. An opportunity to make riskless profits exists and arbitragers will exploit this.
arbitrage
¡Arbitrage involves buying an asset and simultaneously selling it for a higher price, usually in another market, so as to make a
risk-free profit.
if the value of the levered company exceeds the value of the unlevered company,
an investor in the levered company should sell her shares and instead borrow money and invest in the shares of the unlevered company
if the value of the levered company exceeds the value of the unlevered company,
what will eventually happen?
If enough investors undertake similar transactions, there will be downward pressure on the price of L shares (because there are many sellers) and upward pressure on the price of U shares (because there are many buyers). Equilibrium will be restored when security prices have adjusted to the point where the market values of the two companies are equal.
If a levered company is overvalued, an investor in that company’s shares can
- replicate his risk and return by investing instead in the shares of an unlevered company and adjusting the debt–equity ratio by borrowing personally.
- Hence, leverage does not add value to a levered company because, by borrowing, the levered company is not doing anything that its shareholders cannot do for themselves.
if an unlevered company is overvalued, an investor in that company’s shares can
replicate his risk and return by investing instead in the shares of a levered company and adjusting his debt–equity ratio (to zero) by lending personally.
Leverage neither adds to, nor subtracts from, the value of a company.
what does arbitrage ensure
ensure that perfect substitutes will not sell at different prices in the same market at the same time.
describe substitutes in the context of MM’s analysis
In the context of the MM analysis, two companies with the same assets, but different capital structures, are perfect substitutes.
what happens when the market value of two companies are different?
If their market values are not the same, investors will enter the market to take advantage of the arbitrage opportunity and, in doing so, will force the values of the two companies to be the same.
nWe want to show that these two companies are equivalent, otherwise there must be an arbitrage opportunity.
Throughout the arbitrage process, the market will
will force returns to be the same, implying the degree of leverage does not have any impact on firm value and can be replicated by investors
since the difference between the values of the two companies could not persist, what would happen?
the actions of investors selling L’s securities and buying U’s shares would quickly establish an equilibrium in which their values would be exactly the same.
MM’s proposition 2
nThe cost of equity of a levered firm is equal to the cost of equity of an unlevered firm plus a financial risk premium, which depends on the degree of financial leverage:
draw the graph of MM’s second proposition
The firm’s overall cost of capital is unaffected by its capital structure.
MM Proposition 3:
n: The appropriate discount rate for a particular investment proposal is independent of how the proposal is to be financed
i. e. Whether the investing company obtains the funds by borrowing, or by issuing shares, or both, has no effect on the appropriate discount rate.
nlevel of risk associated with the project.
MM proposition 3
The key factor determining the discount rate or a proposal is the
nlevel of risk associated with the project.
Taken together, the MM propositions maintain that in a perfect capital market with no taxes,
it is only the investment decision that is important in the pursuit of wealth maximisation. The financing decision is of no consequence.
Therefore, investment decisions can be completely separated from financing decisions.
Capital Budgeting and the Weighted Average Cost of CapitalWith no debt, the WACC is
equal to the unlevered equity cost of capital.
Capital Budgeting and the Weighted Average Cost of Capital
what happens when the firm borrows at the low cost of capital for debt?
As the firm borrows at the low cost of capital for debt, its equity cost of capital rises. The net effect is that the firm’s WACC is unchanged
what does beta show?
The effect of leverage on the risk of a firm’s securities
what is unleveraged beta
A measure of the risk of a firm as if it did not have leverage, which is equivalent to the beta of the firm’s assets
If the company’s debt is assumed to be risk-free—
what is the beta?
Betad= 0
what is leveraged beta?
namplifies the market risk of a firm’s assets, βU, raising the market risk of its equity.
what is MM’s analysis also known as
the theory of irrelevance when there are no taxes
describe the second proposition of MM’s analysis
As shown in this diagram,
when you increase debt finance, the cost of equity increases as the financial risk of investors increase while cost of debt remains constant
describe the second proposition of MM’s analysis
what is the effect of the incrase in the cost of equity?
it offesets the adv of the low cost of the debt
which is WHY the overall cost of capital remains constant
what opportunity does arbitrate give investors
the ability to earn riskless profit
when may arbitrage be used?
when 2 firms are identical except for their capital strucutre have different market values of cost of capital
once again, what does MM theory say?
the capital structure is irrelevant to the cost of capital or market value of the firm and the price of the shares
If there are two firms identical in nature and have different market values, then this situation will not last long b/c arbitrage will take place until the market values are identical
according to MM approach, the cost of capital of a firm?
remains constant throughout the project’s life irrespective of the capital structure
when 2 firms are identical except for their capital strucutre have different market values of cost of capital
what will happen?
the different won’t last long on the market b/c arbitragers will notice the difference and exploit this arbitrage opportunity
describe the MM irrelevant proposition
the weighted average cost of capital (WACC) should remain constant with changes in the company’s capital structure.
For example, no matter how the firm borrows, there will be no tax benefit from interest payments and thus no changes or benefits to the WACC.
what does MM2 say?
It says that as the proportion of debt in the company’s capital structure increases, its return on equity to shareholders increase
MM 2 says that as the proportion of debt in the company’s capital structure increases, its return on equity to shareholders increase
why?
higher debt levels makes investing in the company more risky, so shareholders demand a higher risk premium on the company’s stock. However, because the company’s capital structure is irrelevant, changes in the debt-equity ratio do not affect WACC
nContrast with traditional perspective on capital structure with MM’s approach
- Low levels of leverage can reduce the weighted average cost of capital.
- Based on idea that equity holders do not perceive higher risks with low leverage levels.
MM’s analysis refutes this — average cost of capital cannot be reduced by issuing debt.
describe the classical tax system
- Applies to the US and foreign companies operating in Australia
- companies and shareholders are taxed independently
MM extended their original no-tax analysis to incorporate the effect of company income tax under the classical system
when is company taxed? what are the implications?
Company profit is taxed after allowing a deduction for interest on debt
This means that borrowing causes a significant reduction in company tax and a corresponding increase in the after-tax net cash flows to investors –> incentive to use debt
by incorporating taxes under the classical tax system, what happens?
Leverage will increase a firm’s value because interest
on debt is a tax deductible expense
by incorporating taxes in the MM analysis, what will happen to personal taxes
reduce the tax advantage associated with debt financing.
by incorporating taxes, show the cash flows of levered and unlevered companies
MM analysis (with tax)
first proposition says?
Value of a levered firm is equal to the value of an unlevered firm of the same risk class plus the present value of the tax saving
MM analysis (with tax)
what does this equation suggest?
levered company is always worth more than an equivalent unlevered company
the more it borrows, the greater is its debt, D, and the more its value increases. If the company tax rate is 30 per cent, then, company value increases by 30 cents for every dollar of debt in a company’s capital structure.
MM analysis (with tax)
what factor offsets the adv of debt financing as a way of reducing the company tax payable?
personal tax
draw proposition one with company tax
describe the 3 implications of miller’s analysis
- There is an optimal debt–equity ratio for the corporate sector as a whole but not individual company
- securities issued by different companies will appeal to different types of investors.
- ¡Shareholders of levered companies end up receiving no benefit from the company tax savings on debt
describe the 3 implications of miller’s analysis
first implication is that There is an optimal debt–equity ratio for the corporate sector as a whole but not individual company
why?
the optimal debt–equity ratio will depend on the company income tax rate and on the funds available to investors who are subject to different tax rates.
describe the 3 implications of miller’s analysis
2nd implication is that Securities issued by different companies will appeal to different clienteles of investors.
why?
For example, tax-exempt investors should invest only in debt securities, while investors subject to marginal personal income tax rates> company income tax rate should invest only in shares.
Therefore, companies with different capital structures will attract different investor clienteles
describe the 3 implications of miller’s analysis
3rd implication: The shareholders of levered companies end up receiving no benefit from the company tax savings on debt because the saving is passed on to lenders in the form of a higher interest rate on debt
- companies are effectively required to compensate the lenders for the additional personal tax payable on interest income –> lenders charge higher interest rate on borrowings
the classical tax system taxes
the classical system taxes company income in the hands of the company and then taxes it again when that income is passed on to the company’s shareholders as a dividend.
i.e. double taxation
To compare the effects of taxes on debt and equity under an imputation tax system, consider a dollar of EBIT and think of the company’s capital structure as determining whether this dollar is paid out as interest to lenders or used to provide a return to shareholders. The return to shareholders could be in the form of either
dividends or capital gains, depending on whether profit is distributed or retained by the company.
if Australian company tax has been paid, then most resident shareholders will benefit if
profits are distributed as franked dividends rather than retained.
imputation tax system
If the dollar of EBIT is used to pay interest to lenders, then company tax is
zero because interest paid is tax deductible for the company
Incorporating Taxes: Imputation Tax System
how does this work?
income distributed as franked dividends to resident shareholders is effectively taxed only once, at the shareholders’ personal tax rate
¡Interest paid to lenders is only taxed once at lender’s personal tax rate.
the imputation tax system is neutral between debt and equity.
Incorporating Taxes: Imputation Tax System
what does neutrality between equity and debt lead to?
we are back to MM’s Proposition 1 in the original no-tax case: the choice of capital structure does not affect a company’s value.
In showing that the imputation tax system can be neutral we have assumed that all profits are distributed as franked dividends.
Other results may be possible if profits are retained.
incorporating taxes: imputation tax system
what is the possible bias?
favours equity rather than debt as a source of company finance when personal income tax rates are greater than company tax
incorporation taxes: imputation system
does this system favour use of debt?
the Australian imputation tax system does not favour the use of debt finance by companies; it is either neutral or biased towards equity, depending on the investor’s marginal tax rate.
incorporation taxes: imputation system
this system is neutral or biased towards equity depending on the investor’s marginal interest rate
what can we conclude?
the same conclusion as Miller:
borrowing will not add value because the interest rate paid will reflect personal tax rates on interest that are equal to or higher than the overall tax rates on equity returns.
it is the structure of the system that makes it neutral or biased towards equity
incorporating taxes: imputation system
why may debt have tax advantages for Australian companies with a large overseas ownership?
overseas investors in Australian companies are outside the imputation tax system and are effectively still taxed under the classical system
what may financial distress do?
The costs of financial distress may also cause a company’s value to depend on its capital structure.
what is financial distress
A company is in financial distress when the company cannot meet its financial obligations or has difficulty meeting it
distinguish between serious and less serious cases of financial distress
serious cases –> may lead to the liquidation of the company
- Alternatively, put into receivership –> lenders appoint an administrator or receiver-manager —this may lead either to eventual liquidation or to control reverting to shareholders if the company trades out of its difficulties.
less serious –> company may meet all its commitments but the mere possibility of financial difficulties can change people’s behaviour.
- E.g. suppliers may demand cash on delivery
*
bankruptcy costs
Increasing a company’s debt–equity ratio increases (by borrowing)
how does this influene MM’s analysis and propositions?
increases financial risk for shareholders and also increases the risk that company will default on its debt (“debt is risky”)
- MM’s analysis shows that financial risk increases the cost of equity capital but has no effect on the weighted average cost of capital or on a company’s market value.
- MM’s Proposition 1 holds even if debt is risky: a company’s market value is not affected by its debt–equity ratio
When a company issues risky debt there is some probability that
the company will subsequently default, in which case direct bankruptcy costs will be incurred.