lecture 8: leverage and capital structure Flashcards
capital structure of a firm
the amount of debt and equity making up its asset base
why is the capital structure decision referred as the debt-capacity decision?
because it involves a consideration of how much debt a firm should have
Indifference EBIT
the EBIT at which EPS with debt financing is equal to EPS with equity financing
in the Indifference EBIT, when is leverage beneficial?
why?
when EBIT is expected to increase
because it increases the return to shareholders in term of EPS
M&M (Modigliani and Miller) proposition
Unlevered value = Levered value = Levered Equity + Levered debt = EBIT / (unlevered cost of equity)
Vu = VL = EL + DL = EBIT / Reu
Reu: unlevered cost of equity
M&M (Modigliani and Miller) proposition assumptions
individuals can borrow or lend at the same market value of interest as firms
no bankruptcy costs
no transaction costs
np inside information
no corporate takes
how do we find the cost of equity using the M&M (Modigliani and Miller) proposition?
what can we conclude from this
Re = RA + (RA - RD) · D/E
RA: Wacc
we can conclude:
a) market price of a firm is independent of its capital structures
b) the higher the D/E, the higher the Re that reflects addition risk burned by equity holders
or
Re = ((EBIT) · (1 - Tc)) / Eu
where does the M&M proposition way of finding our cost of equity come from?
what does this do to our Equity Beta?
from the SML
Equity beta (BE) = BA · (1 + D/E)
–> risk premium of a firms equity increase alongside the D/E ratio
BA: Asset beta
BE: Equity beta
M&M proposition with taxes
VL formula
VL = Vu + (I · Tc) / i
I = annual interest payments
Tc = corporate tax rate
I: interest on debt
but since I = i · D
VL = Vu + Tc · D
–> Tc · D: market premium levered shares, which makes these higher than that of unlevered firms
why is it the, the greater proportion of debt in the capital structure, the greater the value of the firm?
M&M proposition with taxes
VL = Vu + Tc · D
Tc · D: market premium levered shares, which makes these higher than that of unlevered firms
cost of equity with the M&M proposition with taxes
Re = RA + (RA - RD) · D/E · (1 - Tc)
what is the ultimate risk when the D/E of a firm rises?
the firm could fail to meet its payments
when is a firm considered economically bankrupt?
when the value of the assets are equal to its debt
what is the trade for a firm’s capital structure?
what is the name of this trade off
trade off between the tax benefit of debt and the costs of financial distress
static trade-off theory
the implication of the static trade-off theory
there an optimal amount of debt for any individual firm
–> becomes the targeted debt level