CAPITAL STRUCTURE
DEBT TO VALUE RATIO
[D/(E+D)]
PERFECT CAPITAL MARKET
A perfect capital market is a market in which:
Modigliani and Miller (MM) perfect capital market theory.
MM Proposition I
In a perfect capital market, the total value of a firm is equal to the market value of the free cash flows generated by its assets and is not affected by its choice of capital structure.
Vl = E + D = Vu
Weighted average cost of capital
rU = (D/(D+E))rD + ((E/(D+E)rE)
MM Proposition II
The cost of levered equity.
rE = rU + (D/E)(rU - rD)
Cost of levered equity equals the cost of unlevered equity plus a premium proportional to the debt-equity ratio.
What do market imperfections do?
Can create a role for the capital structure.
What impact do interest payments have on taxes?
Corporations pay taxes on their profits after interest payments are deducted. Thus, interest expense reduces the amount of corporate taxes:
Creates an incentive to use debt.
INTEREST TAX SHIELD
The gain to investors from the tax deductibility of interest payments.
interest tax shield = corporate tax rate * interest payments
When a firm uses debt, the interest tax shield provides a corporate tax benefit each year.
To determine the benefit, compute the present value of the stream of future interest tax shields.
(Cash flows to investors with leverage) = (Cash flows to investors without leverage) + (interest tax shield)
The increase in total cash flows paid to investors is the interest tax shield.
MM Proposition I with Taxes
The total value of the levered firm exceeds the value of the firm without leverage due to the present value of the tax savings from debt.
VL = VU + PV (Interest Tax Shield)
PRESENT VALUE OF INTEREST TAX SHIELD
PV(Interest Tax Shield) = (tc * Interest) / rf
= (tc * (rf *D) / rf
=tc * D
If the debt is fairly priced, no arbitrage implies that its market value must equal the present value of the future interest payments.
MARKET VALUE OF DEBT
Market Value of Debt = D = PV (Future Interest Payments)
WEIGHTED AVERAGE COST OF CAPITAL WITH TAXES
Another way to incorporate the benefit of the firm’s future interest tax shield.
rwacc = rE (E/(E+D)) + rD(1-Tc) (D/E+D)
The reduction in the WACC increases with the amount of debt financing.
The higher the firm’s leverage, the more the firm exploits the tax advantage of debt, and the lower its WACC.
What is the risk of having more debt?
With more debt, there is a greater chance that the firms will default on its debt obligations.
A firm that has trouble meeting its debt obligations is in financial distress.
BANKRUPTCY
A long and complicated process that imposes both direct and indirect costs on the firm and its investors that the assumption of perfect capital markets ignores.
What are the direct costs of bankruptcy?
What are the indirect costs of financial distress?
e.g. loss of customers, suppliers, employees, etc.
OPTIMAL CAPITAL STRUCTURE: The trade-off theory
Total value of a levered firm equals the value of the firm without leverage plus the present value of the tax savings from debt, less the present value of financial distress costs:
VL = VU + PV(Interest Tax Shield)
What key qualitative factors determine the present value of financial distress costs?
- The magnitude of the direct and indirect costs related to financial distress that the firm will incur.
How does the probability of financial distress determine the present value of financial distress cost?
How does the magnitude of financial distress costs vary?
Vary by industry.
e.g. technology firm will likely incur high financial distress costs due to the potential for loss of customers and key personnel, as well as a lack of tangible assets that can be easily liquidated.
OPTIMAL LEVERAGE
What does the trade-off theory help to resolve about leverage?
AGENCY COSTS
Costs that arise when there are conflicts of interest between stakeholders.