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FINM2415 Corporate Finance
创建日期：2024-06-01 15:26:53
所属分类：金融Finance
标签： FINM2415
Corporate Finance

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FINM2415 Corporate Finance

Lecture 3: Capital Structure I:
Capital Structure in a Perfect Market
CRICOS code 00025B
What we study in this lecture
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Last week This week…..
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CRICOS code 00025B
Capital structure I: Capital structure in a perfect capital market: Modigliani and Miller (MM) Theory of
Capital Structure in a Perfect Capital Market
• MM Proposition I: Leverage and firm value
• MM Proposition II: Leverage and cost of capital
What we study in this lecture
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CRICOS code 00025B
• Capital structure: the collection of securities a firm issues to raise capital from investors
• Equity and debt are the securities most commonly used by firms. Therefore, capital structure can be referred to as
the proportion of debt and equity financing that a firm has outstanding.
• Unlevered firm versus levered firm:
- Unlevered firm: a firm has only equity (E) in its capital structure. Its equity is called unlevered equity.
- Levered firm: a firm has both debt (D) and equity (E) in its capital structure. Its equity is called levered equity.
• Leverage: the extent to which a firm relies on debt financing: the more debt a firm has in its capital
structure, the higher levered the firm.
- Leverage also means capital structure and they are used interchangeably.
- Leverage can be called debt ratio. It can be calculated as debt to equity ratio (D/E) or debt to firm value
(valuation) ratio (D/V)
Capital structure concepts
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4
->
D =0
-
-
-> D>t
-
- -
-
-
CRICOS code 00025B
• Capital structure and the pie: the value of a firm is defined as the sum of the value of the firm’s debt
and the firm’s equity: V = D + E
 If the goal of the firm’s management is to make the firm as valuable as possible,
then the firm should pick the (optimal) debt to equity ratio that makes the pie as big as possible.
• Big capital structure question: Is there an optimal capital structure (e.g., optimal debt to equity ratio)
that can maximize firm value?
• Over the next three lectures we will study this big question and its implications in different states of
capital markets (capital market imperfections). Capital structure I (today’s topic) is the capital structure
in a perfect capital market (no imperfections).
Capital structure question
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CRICOS code 00025B
Capital structure in a perfect capital market
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• Two professors Franco Modigliani and Merton Miller developed the
theory of capital structure (Modigliani-Miller or MM theory) in 1950s
and 1960s.
 The theory provides an important benchmark for capital structure/corporate finance research
• The MM theory is first based on a perfect capital market:
- No taxes, no transaction costs, or no issuance costs associated with security trading.
- A firm’s financing decisions do not change the cash flows generated by its investments or its
assets, nor do they reveal new information about them.
- Investors and firms can trade the same set of securities at competitive market prices equal to the
present value of their future cash flows.
• The MM theory has two main propositions:
- Proposition I (MMI): Leverage and firm value
- Proposition II (MMII): Leverage and cost of capital
6
e
-
->
-
- -
E -
Il
->
CRICOS code 00025B
• In a perfect capital market, the value of a firm does not depend on its capital structure or capital
structure is irrelevant
 Firm value is determined solely by the cash flows generated by its assets (investments). Whether these
assets (investments) are financed by equity or debt is irrelevant
where
Value of a firm (V)
Value of the firm’s assets (A)
Value of equity in an unlevered firm (U)
Value of equity in a levered firm (E)
Value of debt in a levered firm (D)
MM Proposition I (MMI): Leverage and firm value
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V = A = U = E + D
Leverage (D/E)
7
-
--
V
-I X a?- -
-V V iz
8 ↓ >
⑧ Dr
CRICOS code 00025B
• Why do we have MM Proposition I?
• Because the Law of One Price holds under a
perfect capital market:
 Firm value is determined by total cash flows generated by
its assets (investments).
 Under the law of one price, the total cash flows generated
by the firm assets equal the total cash flows paid out to all
of the firm’s security holders. Therefore, the market value
of firm’s assets must equal the market value of its
securities.
 As long as the firm’s capital structure (e.g., choice of debt
and equity) does not change the cash flows generated by
its assets, the value of a firm is not affected by its capital
structure.
MMI: Leverage and firm value
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V=CE - CFs(D+)-
- (I+E)
-
V
- 0
↓
- I
-
--
*ED+E
A -
CRICOS code 00025B
A firm has only one investment project requiring an initial investment of $800 this year, the project will
generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or
weak, respectively. Both scenarios are equally likely. The project cost of capital is 15%.
a. What is the NPV of this project? What is the total value of this project? What is the total asset value of the firm after
this investment? What is the firm value after this investment?
b. To finance this project, the project is sold to investors as an all-equity firm (the project is financed using all equity).
The equity holders will receive cash flows of the project after one year. What are the cash flows of unlevered equity
in year 1? How much the money can be raised in this way – that is, what is the market value of unlevered equity?
What is the total value of the firm?
c. Suppose that the project is financed using both debt and equity, where the firm can borrow $500 at the risk-free rate
of 5%, what are the cash flows of levered equity in year 1? What is the value of the firm according to the MM? What
is the initial value of the firm’s levered equity?
d. What do we learn from this example?
Example
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--
-
CRICOS code 00025B
A firm has only one investment project requiring an initial investment of $800 this year, the project will
generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or
weak, respectively. Both scenarios are equally likely. The project cost of capital is 15%.
a. What is the NPV of this project? What is the total value of this project? What is the total asset value of the firm after
this investment? What is the firm value after this investment?
b. To finance this project, the project is sold to investors as an all-equity firm (the project is financed using all equity).
The equity holders will receive all cash flows of the project after one year. What are the cash flows of unlevered
equity in year 1? How much the money can be raised in this way – that is, what is the market value of unlevered
equity? What is the total value of the firm?
Example
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10
$200 $1,000 =$800 +$200$1,000
↑ ↑ ~- --
-
->Ia $
· -S: 1,400= E(CF1) =0.5 x 1,400
+0.5x900 =1,1500 0.5
-
- T 0.5I A D+E
- so ECCFi)- W:900
IA:
NPV = -500 + =$ 208 #.
CRICOS code 00025B
A firm has only one investment project requiring an initial investment of $800 this year, the project will
generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or
weak, respectively. Both scenarios are equally likely. The project cost of capital is 15%.
b. To finance this project, the project is sold to investors as an all-equity firm (the project is financed using all equity).
The equity holders will receive all cash flows of the project after one year. What are the cash flows of unlevered equity in
year 1? How much the money can be raised in this way – that is, what is the market value of unlevered equity? What is
the total value of the firm?
Unlevered firm:
Example
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t=0 t=1
Cash flows
Assets Liabilities and Shareholders Equity Strong Weak
Investment ………………… Debt ………………… ……………… ………………
NPV (∆Asset) ………………… Unlevered equity ………………… ……………… ………………
Total ………………… Total ………………… ……………… ………………
11
--
-
-
-
SOD 0 O !
-
⑧200 1,000 1,400 9 OD
1,000 1,00 1,400 9,00⑧- - -
CRICOS code 00025B
A firm has only one investment project requiring an initial investment of $800 this year, the project will
generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or
weak, respectively. Both scenarios are equally likely. The project cost of capital is 15%.
c. Suppose that the project is financed using both debt and equity, where the firm can borrow $500 at the risk-free rate of 5%,
what are the cash flows of levered equity in year 1? What is the value of the firm according to the MM? What is the initial value
of the firm’s levered equity?
Levered firm:
d. What do we learn from this example?
Example
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t=0 t=1
Cash flows
Assets Liabilities and Shareholders Equity Strong Weak
Investment ……………… Debt ……………… ……………… ………………
NPV(∆Asset) ……………… Levered equity ……………… ……………… ………………
Total ……………… Total ……………… ……………… ………………
12
- -
-
-
--
500x1.05
525⑧500 500 9525 ? <- --
200 500 ? 875 ? 375
1,000
-
12000 I 1,408 900 ---
V =Vx =V =V2 =$1,0 0
CRICOS code 00025B
• MMI shows that firm value is not affected by its capital structure. Suppose that investors
would prefer an alternative capital structure to the one the firm has chosen, what can they
do? They can do so using “Homemade Leverage”
• Homemade leverage: investors can borrow or lend on their own in order to achieve a
preferred choice of capital structure (leverage).
o If an investor would like more leverage than then firm has chosen, the investor can ……….. and add
more leverage
o If an investor would like less leverage than then firm has chosen, the investor can ………. and reduce
leverage
• As long as investors can borrow or lend at the same rate as the firm (under perfect capital
markets), homemade leverage is a perfect substitute the use of leverage by the firm, and
homemade leverage does not affect the value of the firm.
Homemade leverage
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"borrow
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Tend I
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↓
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(Sel)
in rest ->-et
buy debt/bruck bruck
CRICOS code 00025B
Example: There are two identical firms except for their capital structure. In these firms, all investors will receive a cash flow of either
$1,400 or $900 next year, depending on whether the economy is strong or weak, respectively. Both scenarios are equally likely. The cash
flows and the capital structure of these two firms are given in the below tables. The risk free rate is 5%.
Suppose that the current market value of unlevered equity is $990 while the current market value of
levered equity is $510. Does MMI hold? What arbitrage opportunity is available using homemade
leverage?
Homemade leverage and arbitrage opportunity
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t=0 t=1
Unlevered firm Cash flows
Liabilities and Shareholders Equity Strong Weak
Debt 0 0 0
Unlevered equity 1000 1400 900
Total 1000 1400 900
t=0 t=1
Levered firm Cash flows
Liabilities and Shareholders Equity Strong Weak
Debt 500 525 525
Levered equity 500 875 375
Total 1000 1400 900
14
MMI Market MMI Market ↓
-
-
-
- -
--
~expensive940 - e 500 - sellE - E =510 E⑧·98 - 1010 -L Ibuy- cheaper- 1- T-
-----
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BourneSinvent) -
Lenc Sell debt 500 - 525 => 525-↳debt-> P It Buy - 990 1408 908Band↓
t
-- ISell 510 - 875 - 375
IBorraw ↳ O OBury debtre⑧ (shat) Tr-
CRICOS code 00025B
• MMII: Leverage and the Cost of Equity
- MMI maintains that leverage does not change the value of a firm, however, leverage increases the risk
of equity because promised payments to debtholders must be made …………. any payments to equity
holders.
- Therefore, MMII states that
o Leverage …………… the cost of equity: The cost of equity in a levered firm equals the cost of equity in an
unlevered firm plus a risk premium that is proportional to the leverage (e.g., debt-equity ratio).
MM Proposition II (MMII): Leverage and cost of capital
FINM2415
e U d
15
=>
(ReC RRRx,Rwaca
before
--
-
-
inc s
I
-A
CRICOS code 00025B
• Why MM Proposition II: Why leverage increases the cost of equity?
• Because the value of levered firm equals the value of unlevered firm => holding a portfolio of the levered
firm’s equity and debt is similar to holding the equity of the unlevered firm => then the return of the levered
firm is equal to the return of unlevered firm.
o The return on an unlevered firm (RU)
o The return on a levered firm is the weighted average of the cost of its debt (Rd) and equity (Re)
Solving for Re:
• The effect of leverage on the risk of a firm’s securities can also be expressed in terms of beta:
MM Proposition II (MMII): Leverage and cost of capital
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= + + +
= + −
= + + + = + −
16
-
L
D.
E
. .
↓ ↓
Ry - RWAC-
--
CRICOS code 00025B
• MM Proposition II: Leverage and the Cost of Capital
- In perfect capital markets, a firm’s WACC is independent of its capital structure and is equal to its cost
of equity of the unlevered firm.
 Leverage ……………affect a firm’s cost of capital
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MM Proposition II (MMII): Leverage and cost of capital
= =
17
-
-I
-
↓
?doesn't
CRICOS code 00025B
• Why MMII: Why leverage does not affect a firm’s cost of capital?
- If a firm is unlevered, all of the free cash flows generated by its assets equal the cash flows received by its equity
holders. The firm asset cost of capital, the cost of unlevered equity, and the cost of capital are the same.
- If a firm is levered, because there is no tax, the firm pretax WACC (asset cost of capital RA) and after-tax WACC
(the cost of capital) are the same
- Therefore, a firm’ cost of capital:
FINM2415
MM Proposition II (MMII): Leverage and cost of capital
= = + + +
= =
Leverage
Although debt has lower cost of capital than equity, as
the amount of debt increases, the cost of equity
increases, the net effect is that the firm’s WACC is
unchanged.
=
18
iFir=iRunc
CRICOS code 00025B
Example: A firm has only one investment project requiring an initial investment of $800 this year, the project will
generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or weak,
respectively. Both scenarios are equally likely. The project cost of capital is 15%.
a. What is the NPV of this project? What is the total value of this project? What is the total asset value of the firm after this
investment? What is the firm value after this investment?
What is the asset cost of capital of the firm?
b. To finance this project, the project is sold to investors as an all-equity firm (the project is financed using all equity). The
equity holders will receive all cash flows of the project after one year. How much the money can be raised in this way – that is,
what is the market value of unlevered equity? What is the total value of the firm?
What is the cost of (unlevered) equity (e.g., return on equity) of this firm? What is the cost of capital of this unlevered firm?
c. Suppose that the project is financed using both debt and equity, where the firm can borrow $500 at the risk-free rate of 5%,
what are the cash flows of levered equity in year 1? What is the value of the firm according to the MM? What is the initial
value of the firm’s levered equity?
What is the cost of (levered) equity of this firm (e.g., return on equity)? What is the cost of capital of this levered firm?
d. What do we learn from this example?
Example
FINM2415
19
.
CRICOS code 00025B
Example: A firm has only one investment project requiring an initial investment of $800 this year, the project
will generate cash flows of either $1400 or $900 next year, depending on whether the economy is strong or
weak, respectively. Both scenarios are equally likely. The project cost of capital is 15%.
a. What is the NPV of this project? What is the total value of this project? What is the total asset value of the firm after this
investment? What is the firm value after this investment?
What is the asset cost of capital of the firm?
Example
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20
-
Project :15%
(Asset (x:15%)
CRICOS code 00025B
Example: A firm has only one investment project requiring an initial investment of $800 this year, the project will generate
cash flows of either $1400 or $900 next year, depending on whether the economy is strong or weak, respectively. Both
scenarios are equally likely. The project cost of capital is 5%.
b. If the project is financed using all equity. What is the value of the firm – that is, how much would investors be willing to
pay for the firm’ unlevered equity? What are the cash flows of unlevered equity in year 1?
What is the cost of (unlevered) equity or return on equity of this firm? What is the cost of capital of this unlevered firm?
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MATH20602 COMP532 MAS275 COMP5318 COMP4002 FIT5086 MAST20004 FIT3152 FIT5129 CIS2380 CS521 COMP 1005 EECMS CITS5501 ECE 462 ECON 6002 ENG 4051 CSC 648 CMT654 MECHENG 713 PHYS1002 AMME 2000 FP0060 DDES3200 MECHENG 743 BINF90002 FIT2081 ISYS90081 ELECTENG 722 BUS 360 ECOS3010 BUS2810 ETF2100 ENG2048 STAT5002 COMP2017 CEME 2003 MATS3004 COMP9319 PHYS1001 COMP5349 AMME2261 COMP-381 FIT3173 COSC2757 ENG4025 QBUS2820 COMP9414 MATH2021 EOSC118 MFIN6690 PMATH 321 CSE-141L MATH575A COMPSCI5002 COMP1511 management comp2123 FINS3616 COMP 3331 COMS30034 DTSC 71 AcF 702 AcF702 DTSC71 MAT021 ELE8083 ACFI213 EG-127J 127J FIT5163 FIT2001 ELE00113M CMT310 CS 245 ENGL 1101 MTH6115 EE497 CS 325 Math 124A MTH5130 MBA502 MGT 5380 ARCH 1261 F033800 20LLP109 ELE4009 FINANCIAL COMP3331 Computer ECE4179 20T3 COMP9311 COMP9311 UNSW MFIN6210 ACCT 5930 EE590 ENG2029 ECO100 SIT315 ACCT3610 COMP3600 STK2100 FIT2004 COMP30020 ACTL1101 Stat 101B BANA 200 COSC2473 ENGG1400 AI COMP90043 MMF 1914H PHYS 127 CS584 CIVL2010 ECMT2150 CS 333 CP1406 KIT308 Economics 701 ECON3740 ECE 5759 BFC3340 FINC2012 COMP4500 MATH3871 FIT3080 18-819C Economic ECO202Y5Y PHY100 FINC-780 Econ 100B EC602 IE582 EE450 COMP9517 WRDS 150B ECON 570 LECTURE 2 ECA5101 ECE 4420 ADAD9311 FIT3031 CS 544 MF 703 CS 6140 KIT501 ENGSCI 344 CSC171 IE 332 FINM8007 21S2 COSC 1114 FE545 E471 SIT102 CSC108 MAT301 IAE 101 COP3503 STAT2004 EC 303 CS1026 STAT1203 MATH3171 ISOM5160 IFN657 FIT2014 ACCT2102 DSCI550 STATS 330 ELEC421 COMP3670 QBUS6840 MEES:698B MAST30027 MIET1077 Economics IFT 6758 FIT5122 BUSN5101 CptS 111 HRMT5502 Math2018 PP 312 INFS3200 CZ3005 CSSE1001 SENG 2011 MKTG 553Q BUFN 640 COMP507 ETF5952 DATA 311 ECE4043 BANK3011 finance M3H623544 HW1 INFS 7410 AI6103 STAT3888 INFS3208 ACCT7103 ECOS3013 PSYCH 20B F79MA STAT3006 ENGG952 2X MGSC 7000 ECE4132 MSF 526 MATH 3033 CDS 511 EEEE4120 EEET2465 ECA5103 MATH2070 ELEC3104 BU51019 EEE8147 ENGR20003 COSC 1107 ETF3200 FNCE 435 MSFI 435 ISyE6420 GENG4405 HW ETC5523 IE 7315 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FN1024 MATH0094 MANG 6554 ECOS3003 ELEC6252 C2511C PHY328 EC1060 ECON32202 COMP4002-E1 MATH3063 EFIMM0124 QBUS2310 ECON4411 FUNDAMENTALS ACCT20001 18YX RPM COMP 2711 QBUS6600 BUSS5221 ST3189 FIT1047 MAT344 EGB375 MATH60013 MATH96011 COMP3557 MAST20029 ECM159 EAE1011 ENSCEN 105 SECTION A STA 141C SOSE 2022 PAM006 COMP0048 M40007 ISOM2500 CMPE 142 A06472 MCC150 ACST 8083 GEOG6087 ECON920 FINM7008 ENVENG 4110 COMPSCI 361 ENGRCEE 21 PHYS 1112 ACF2100 ECMM108 COMPS267F MAT00050M MAST30025 CSIT970 MSCI 224 INT202 PUBL0054 MSDM5004 BMAN 21020 BMAN21020 MGMT1002 MATH11150 LAWS7023 ACTL30002 CIVL3340 MATH1002 ECON 8069 COMPSCI 351 IBUS7302 STAT4528 CHEM1101 STAT3925 BUSN 7008 Comp 3120 ECOS2040 SWEN90010 ENGN6528 ECM158 ECON20022 COMP6452 Calculation CITS1401 S1889112 BUS 351 ACTL30008 FIT2091 ECON6002 IBUS6020 PHI 001 ECON30290 MATH7501 ECON10004 MFIN7017 ISYS90043 LAWS7012 ECON30025 COMP30023 COMM1190 ECOM20001 GSBS6009 STAT 337 EMET8002 ECOM90001 ECOM30001 FINC 2012 BUSINESS ENGCV512 ECO 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