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Mini Case: 13 - 1
Chapter 13
Corporate Valuation, Value-Based Management, and
Corporate Governance
ANSWERS TO END-OF-CHAPTER QUESTIONS
13-1 a. Assets-in-place, also known as operating assets, include the land, buildings,
machines, and inventory that the firm uses in its operations to produce its products
and services. Growth options are not tangible. They include items such as R&D and
customer relationships. Financial, or nonoperating, assets include investments in
marketable securities and non-controlling interests in the stock of other companies.
b. Operating current assets are the current assets used to support operations, such as
cash, accounts receivable, and inventory. It does not include short-term investments.
Operating current liabilities are the current liabilities that are a natural consequence of
the firm’s operations, such as accounts payable and accruals. It does not include
notes payable or any other short-term debt that charges interest. Net operating
working capital is operating current assets minus operating current liabilities.
Operating capital is sum of net operating working capital and operating long-term
assets, such as net plant and equipment. Operating capital also is equal to the net
amount of capital raised from investors. This is the amount of interest-bearing debt
plus preferred stock plus common equity minus short-term investments. NOPAT is
the amount of net income a company would generate if it had no debt and held no
financial assets. NOPAT is a better measure of the performance of a company’s
operations because debt lowers income. In order to get a true reflection of a
company’s operating performance, one would want to take out debt to get a clearer
picture of the situation. Free cash flow is the cash flow actually available for
distribution to investors after the company has made all the investments in fixed
assets and working capital necessary to sustain ongoing operations. It is the most
important measure of cash flows because it shows the exact amount available to all
investors.
c. The value of operations is the present value of all the future free cash flows that are
expected from current assets-in-place and the expected growth of assets-in-place
when discounted at the weighted average cost of capital:
( )
.
WACC1
FCF
V
1t
t
t
0)timeop(at ∑
∞
= +
=
The terminal, or horizon value, is the value of operations at the end of the explicit
forecast period. It is equal to the present value of all free cash flows beyond the
forecast period, discounted back to the end of the forecast period at the weighted
average cost of capital:
.
gWACC
)g1(FCF
gWACC
FCF
V N1N
N)timeop(at
−
+
=
−
= +
The corporate valuation model defines the total value of a company as the value of
operations plus the value of nonoperating assets plus the value of growth options.
Mini Case: 13 - 2
d. Value-based management is the systematic application of the corporate value model
to a company’s decisions. The four value drivers are the growth rate in sales (g),
operating profitability (OP=NOPAT/Sales), capital requirements (CR=Capital/Sales),
and the weighted average cost of capital (WACC). Return on Invested Capital
(ROIC) is NOPAT divided by the amount of capital that is available at the beginning
of the year.
e. Managerial entrenchment occurs when a company has such a weak board of directors
and has such strong anti-takeover provisions in its corporate charter that senior
managers feel there is very little chance that they will be removed. Non-pecuniary
benefits are perks that are not actual cash payments, such as lavish offices,
memberships at country clubs, corporate jets, and excessively large staffs.
f. Targeted share repurchases, also known as greenmail, occur when a company buys
back stock from a potential acquiror at a higher than fair-market price. In return, the
potential acquiror agrees not to attempt to take over the company. Shareholder rights
provisions, also known as poison pills, allow existing shareholders in a company to
purchase additional shares of stock at a lower than market value if a potential acquiror
purchases a controlling stake in the company. A restricted voting rights provision
automatically deprives a shareholder of voting rights if the shareholder owns more
than a specified amount of stock.
g. A stock option allows its owner to purchase a share of stock at a fixed price, called
the exercise price, no matter what the actual price of the stock is. Stock options
always have an expiration date, after which they cannot be exercised. A restricted
stock grant allows an employee to buy shares of stock at a large discount from the
current stock price, but the employee is restricted from selling the stock for a
specified number of years. An Employee Stock Ownership Plan, often called an
ESOP, is a type of retirement plan in which employees own stock in the company.
13-2 The first step is to find the value of operations by discounting all expected future free
cash flows at the weighted average cost of capital. The second step is to find the total
corporate value by summing the value of operations, the value of nonoperating assets,
and the value of growth options. The third step is to find the value of equity by
subtracting the value of debt and preferred stock from the total value of the corporation.
The last step is to divide the value of equity by the number of shares of common stock.
13-3 A company can be profitable and yet have an ROIC that is less than the WACC if the
company has large capital requirements. If ROIC is less than the WACC, then the
company is not earning enough on its capital to satisfy its investors. Growth adds even
more capital that is not satisfying investors, hence, growth decreases value.
13-4 Entrenched managers consume to many perquisites, such as lavish offices, excessive
staffs, country club memberships, and corporate jets. They also invest in projects or
acquisitions that make the firm larger, even if they don’t make the firm more valuable.
13-5 Stock options in compensation plans usually are issued with an exercise price equal to the
current stock price. As long as the stock price increases, the option will become valuable,
even if the stock price doesn’t increase as much as investors expect.
Mini Case: 13 - 3
SOLUTIONS TO END-OF-CHAPTER PROBLEMS
13-1 NOPAT = EBIT(1 - T)
= 100(1 - 0.4) = $60.
Net operating WC05 = ($27 + $80 + $106) - ($52 + $28)
= $213 - $80 = $133.
Operating capital05 = $133 + $265 = $398.
Net operating WC06 = ($28 + $84 + $112) - ($56 + $28)
= $224 - $84 = $140.
Operating capital06 = $140 + $281 = $421.
FCF = NOPAT - Net investment in operating capital
= $100(0.6) - ($421 - $398)
= $37.0.
13-2 Value of operations = Vop = PV of expected future free cash flow
Vop =
gWACC
)g1(FCF
−
+
=
05.012.0
)05.1(000,400$
−
= $6,000,000.
13-3 a. 2opV =
08.012.0
000,108$
−
= $2,700,000.
b. 0 1 2 3 N
| | | | • • • |
$80,000 $100,000 $108,000
$ 71,428.57
79,719.39
2,152,423.47
$2,303,571.43
WACC = 12% g = 8%
Mini Case: 13 - 4
13-4 a. 3opV =
07.013.0
)07.1(40$
−
= $713.33.
b. 0 1 2 3 4 N
| | | | | • • • |
-20 30 40
($ 17.70)
23.49 3opV = 713.33
522.10 753.33
$527.89
c. Total valuet=0 = $527.89 + $10.0 = $537.89.
Value of common equity = $537.89 - $100 = $437.89.
Price per share =
0.10
89.437$
= $43.79.
13-5 The growth rate in FCF from 2007 to 2008 is g=($750.00-$707.55)/$707.50 = 0.06.
VOp at 2007 =
06.011.0
)06.1(55.707$
−
= $15,000.
13-6 ]10.009.0[
05.0098.0
000,000,200$
000,000,200$opV −⎥⎦
⎤
⎢⎣
⎡
−
+=
=$200,000,000 + (-$40,000,000)= $160,000,000.
MVA = $160,000,000 - $200,000,000 = -40,000,000.
13-7 Capital2009 = Sales2009 (0.43)= $129,000,000.
[ ][ ]
.000,375,259$000,375,130$000,000,129$
020.0000,500,562,6$000,000,129$
05.01
43.0
)098.0(06.0
05.0098.0
)05.01(000,000,300$
000,000,129$V 2009atOp
=+=
+=
⎥
⎦
⎤
⎢
⎣
⎡
⎟
⎠
⎞
⎜
⎝
⎛
+
−⎥
⎦
⎤
⎢
⎣
⎡
−
+
+=
13-8 Total corporate value = Value of operations + marketable securities
= $756 + $77 = $833 million.
Value of equity = Total corporate value – debt – Preferred stock
= $833 – ($151 + $190) - $76 = $416 million.
13-9 Total corporate value = Value of operations + marketable securities
= $651 + $47 = $698 million.
Value of equity = Total corporate value – debt – Preferred stock
= $698 – ($65 + $131) - $33 = $469 million.
Price per share = $469 / 10 = $46.90.
WACC = 13% g = 7%
Mini Case: 13 - 5
13-10 a. NOPAT2006 = $108.6(1-0.4) = $65.16
NOWC2006 = ($5.6 + $56.2 + $112.4) – ($11.2 + $28.1) = $134.9 million.
Capital2006 = $134.9 + $397.5 = $532.4 million.
FCF2006 = NOPAT – Investment in Capital = $65.16 – ($532.4 - $502.2)
= $65.16 - $30.2 = $34.96 million.
b. HV2006 = [$34.96(1.06)]/(0.11-0.06) = $741.152 million.
c. VOp at 12/31/2005 = [$34.96 + $741.152]/(1+0.11) = $699.20 million.
d. Total corporate value = $699.20 + $49.9 = $749.10 million.
e. Value of equity = $749.10 – ($69.9 + $140.8) - $35.0 = $503.4 million.
Price per share = $503.4 / 10 = $50.34.

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  • 1. Mini Case: 13 - 1 Chapter 13 Corporate Valuation, Value-Based Management, and Corporate Governance ANSWERS TO END-OF-CHAPTER QUESTIONS 13-1 a. Assets-in-place, also known as operating assets, include the land, buildings, machines, and inventory that the firm uses in its operations to produce its products and services. Growth options are not tangible. They include items such as R&D and customer relationships. Financial, or nonoperating, assets include investments in marketable securities and non-controlling interests in the stock of other companies. b. Operating current assets are the current assets used to support operations, such as cash, accounts receivable, and inventory. It does not include short-term investments. Operating current liabilities are the current liabilities that are a natural consequence of the firm’s operations, such as accounts payable and accruals. It does not include notes payable or any other short-term debt that charges interest. Net operating working capital is operating current assets minus operating current liabilities. Operating capital is sum of net operating working capital and operating long-term assets, such as net plant and equipment. Operating capital also is equal to the net amount of capital raised from investors. This is the amount of interest-bearing debt plus preferred stock plus common equity minus short-term investments. NOPAT is the amount of net income a company would generate if it had no debt and held no financial assets. NOPAT is a better measure of the performance of a company’s operations because debt lowers income. In order to get a true reflection of a company’s operating performance, one would want to take out debt to get a clearer picture of the situation. Free cash flow is the cash flow actually available for distribution to investors after the company has made all the investments in fixed assets and working capital necessary to sustain ongoing operations. It is the most important measure of cash flows because it shows the exact amount available to all investors. c. The value of operations is the present value of all the future free cash flows that are expected from current assets-in-place and the expected growth of assets-in-place when discounted at the weighted average cost of capital: ( ) . WACC1 FCF V 1t t t 0)timeop(at ∑ ∞ = + = The terminal, or horizon value, is the value of operations at the end of the explicit forecast period. It is equal to the present value of all free cash flows beyond the forecast period, discounted back to the end of the forecast period at the weighted average cost of capital: . gWACC )g1(FCF gWACC FCF V N1N N)timeop(at − + = − = + The corporate valuation model defines the total value of a company as the value of operations plus the value of nonoperating assets plus the value of growth options.
  • 2. Mini Case: 13 - 2 d. Value-based management is the systematic application of the corporate value model to a company’s decisions. The four value drivers are the growth rate in sales (g), operating profitability (OP=NOPAT/Sales), capital requirements (CR=Capital/Sales), and the weighted average cost of capital (WACC). Return on Invested Capital (ROIC) is NOPAT divided by the amount of capital that is available at the beginning of the year. e. Managerial entrenchment occurs when a company has such a weak board of directors and has such strong anti-takeover provisions in its corporate charter that senior managers feel there is very little chance that they will be removed. Non-pecuniary benefits are perks that are not actual cash payments, such as lavish offices, memberships at country clubs, corporate jets, and excessively large staffs. f. Targeted share repurchases, also known as greenmail, occur when a company buys back stock from a potential acquiror at a higher than fair-market price. In return, the potential acquiror agrees not to attempt to take over the company. Shareholder rights provisions, also known as poison pills, allow existing shareholders in a company to purchase additional shares of stock at a lower than market value if a potential acquiror purchases a controlling stake in the company. A restricted voting rights provision automatically deprives a shareholder of voting rights if the shareholder owns more than a specified amount of stock. g. A stock option allows its owner to purchase a share of stock at a fixed price, called the exercise price, no matter what the actual price of the stock is. Stock options always have an expiration date, after which they cannot be exercised. A restricted stock grant allows an employee to buy shares of stock at a large discount from the current stock price, but the employee is restricted from selling the stock for a specified number of years. An Employee Stock Ownership Plan, often called an ESOP, is a type of retirement plan in which employees own stock in the company. 13-2 The first step is to find the value of operations by discounting all expected future free cash flows at the weighted average cost of capital. The second step is to find the total corporate value by summing the value of operations, the value of nonoperating assets, and the value of growth options. The third step is to find the value of equity by subtracting the value of debt and preferred stock from the total value of the corporation. The last step is to divide the value of equity by the number of shares of common stock. 13-3 A company can be profitable and yet have an ROIC that is less than the WACC if the company has large capital requirements. If ROIC is less than the WACC, then the company is not earning enough on its capital to satisfy its investors. Growth adds even more capital that is not satisfying investors, hence, growth decreases value. 13-4 Entrenched managers consume to many perquisites, such as lavish offices, excessive staffs, country club memberships, and corporate jets. They also invest in projects or acquisitions that make the firm larger, even if they don’t make the firm more valuable. 13-5 Stock options in compensation plans usually are issued with an exercise price equal to the current stock price. As long as the stock price increases, the option will become valuable, even if the stock price doesn’t increase as much as investors expect.
  • 3. Mini Case: 13 - 3 SOLUTIONS TO END-OF-CHAPTER PROBLEMS 13-1 NOPAT = EBIT(1 - T) = 100(1 - 0.4) = $60. Net operating WC05 = ($27 + $80 + $106) - ($52 + $28) = $213 - $80 = $133. Operating capital05 = $133 + $265 = $398. Net operating WC06 = ($28 + $84 + $112) - ($56 + $28) = $224 - $84 = $140. Operating capital06 = $140 + $281 = $421. FCF = NOPAT - Net investment in operating capital = $100(0.6) - ($421 - $398) = $37.0. 13-2 Value of operations = Vop = PV of expected future free cash flow Vop = gWACC )g1(FCF − + = 05.012.0 )05.1(000,400$ − = $6,000,000. 13-3 a. 2opV = 08.012.0 000,108$ − = $2,700,000. b. 0 1 2 3 N | | | | • • • | $80,000 $100,000 $108,000 $ 71,428.57 79,719.39 2,152,423.47 $2,303,571.43 WACC = 12% g = 8%
  • 4. Mini Case: 13 - 4 13-4 a. 3opV = 07.013.0 )07.1(40$ − = $713.33. b. 0 1 2 3 4 N | | | | | • • • | -20 30 40 ($ 17.70) 23.49 3opV = 713.33 522.10 753.33 $527.89 c. Total valuet=0 = $527.89 + $10.0 = $537.89. Value of common equity = $537.89 - $100 = $437.89. Price per share = 0.10 89.437$ = $43.79. 13-5 The growth rate in FCF from 2007 to 2008 is g=($750.00-$707.55)/$707.50 = 0.06. VOp at 2007 = 06.011.0 )06.1(55.707$ − = $15,000. 13-6 ]10.009.0[ 05.0098.0 000,000,200$ 000,000,200$opV −⎥⎦ ⎤ ⎢⎣ ⎡ − += =$200,000,000 + (-$40,000,000)= $160,000,000. MVA = $160,000,000 - $200,000,000 = -40,000,000. 13-7 Capital2009 = Sales2009 (0.43)= $129,000,000. [ ][ ] .000,375,259$000,375,130$000,000,129$ 020.0000,500,562,6$000,000,129$ 05.01 43.0 )098.0(06.0 05.0098.0 )05.01(000,000,300$ 000,000,129$V 2009atOp =+= += ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + −⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − + += 13-8 Total corporate value = Value of operations + marketable securities = $756 + $77 = $833 million. Value of equity = Total corporate value – debt – Preferred stock = $833 – ($151 + $190) - $76 = $416 million. 13-9 Total corporate value = Value of operations + marketable securities = $651 + $47 = $698 million. Value of equity = Total corporate value – debt – Preferred stock = $698 – ($65 + $131) - $33 = $469 million. Price per share = $469 / 10 = $46.90. WACC = 13% g = 7%
  • 5. Mini Case: 13 - 5 13-10 a. NOPAT2006 = $108.6(1-0.4) = $65.16 NOWC2006 = ($5.6 + $56.2 + $112.4) – ($11.2 + $28.1) = $134.9 million. Capital2006 = $134.9 + $397.5 = $532.4 million. FCF2006 = NOPAT – Investment in Capital = $65.16 – ($532.4 - $502.2) = $65.16 - $30.2 = $34.96 million. b. HV2006 = [$34.96(1.06)]/(0.11-0.06) = $741.152 million. c. VOp at 12/31/2005 = [$34.96 + $741.152]/(1+0.11) = $699.20 million. d. Total corporate value = $699.20 + $49.9 = $749.10 million. e. Value of equity = $749.10 – ($69.9 + $140.8) - $35.0 = $503.4 million. Price per share = $503.4 / 10 = $50.34.