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Fundamentals of corporate finance 9e by ross jordan case solutions

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Case Solutions
Fundamentals of Corporate Finance
Ross, Westerfield, and Jordan
9th edition


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CHAPTER 1
THE McGEE CAKE COMPANY
1.

The advantages to a LLC are: 1) Reduction of personal liability. A sole proprietor has unlimited
liability, which can include the potential loss of all personal assets. 2) Taxes. Forming an LLC may
mean that more expenses can be considered business expenses and be deducted from the company’s
income. 3) Improved credibility. The business may have increased credibility in the business world
compared to a sole proprietorship. 4) Ability to attract investment. Corporations, even LLCs, can
raise capital through the sale of equity. 5) Continuous life. Sole proprietorships have a limited life,
while corporations have a potentially perpetual life. 6) Transfer of ownership. It is easier to transfer
ownership in a corporation through the sale of stock.
The biggest disadvantage is the potential cost, although the cost of forming a LLC can be relatively
small. There are also other potential costs, including more expansive record-keeping.

2.

Forming a corporation has the same advantages as forming a LLC, but the costs are likely to be
higher.

3.



As a small company, changing to a LLC is probably the most advantageous decision at the current
time. If the company grows, and Doc and Lyn are willing to sell more equity ownership, the
company can reorganize as a corporation at a later date. Additionally, forming a LLC is likely to be
less expensive than forming a corporation.


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CHAPTER 2
CASH FLOWS AND FINANCIAL
STATEMENTS AT SUNSET BOARDS
Below are the financial statements that you are asked to prepare.
1.

The income statement for each year will look like this:
Income statement
2008

2009

$247,259
126,038
24,787
35,581
$60,853
7,735
$53,118
10,624
$42,494


$301,392
159,143
32,352
40,217
$69,680
8,866
$60,814
12,163
$48,651

$21,247
21,247

$24,326
24,326

Sales
Cost of goods sold
Selling & administrative
Depreciation
EBIT
Interest
EBT
Taxes
Net income
Dividends
Addition to retained earnings
2.


The balance sheet for each year will be:
Balance sheet as of Dec. 31, 2008
Cash
Accounts receivable
Inventory
Current assets
Net fixed assets
Total assets

$18,187
12,887
27,119
$58,193
$156,975
$215,168

Accounts payable
Notes payable
Current liabilities
Long-term debt
Owners' equity
Total liab. & equity

$32,143
14,651
$46,794
$79,235
89,139
$215,168


In the first year, equity is not given. Therefore, we must calculate equity as a plug variable. Since total
liabilities & equity is equal to total assets, equity can be calculated as:
Equity = $215,168 – 46,794 – 79,235
Equity = $89,139


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C-2 CASE SOLUTIONS

Balance sheet as of Dec. 31, 2009
Cash
Accounts receivable
Inventory
Current assets
Net fixed assets
Total assets

$27,478
16,717
37,216
$81,411

Accounts payable
Notes payable
Current liabilities
Long-term debt
Owners' equity
Total liab. & equity


$191,250
$272,661

$36,404
15,997
$52,401
$91,195
129,065
$272,661

The owner’s equity for 2009 is the beginning of year owner’s equity, plus the addition to retained
earnings, plus the new equity, so:
Equity = $89,139 + 24,326 + 15,600
Equity = $129,065
3. Using the OCF equation:
OCF = EBIT + Depreciation – Taxes
The OCF for each year is:
OCF2008 = $60,853 + 35,581 – 10,624
OCF2008 = $85,180
OCF2009 = $69,680 + 40,217 – 12,163
OCF2009 = $97,734
4. To calculate the cash flow from assets, we need to find the capital spending and change in net
working capital. The capital spending for the year was:
Capital spending
Ending net fixed assets
– Beginning net fixed assets
+ Depreciation
Net capital spending

$191,250

156,975
40,217
$74,492

And the change in net working capital was:
Change in net working capital
Ending NWC
– Beginning NWC
Change in NWC

$29,010
11,399
$17,611


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CHAPTER 2 C-3
So, the cash flow from assets was:
Cash flow from assets
Operating cash flow
– Net capital spending
– Change in NWC
Cash flow from assets

$97,734
74,492
17,611
$ 5,631


5. The cash flow to creditors was:
Cash flow to creditors
Interest paid
– Net new borrowing
Cash flow to creditors

$8,866
11,960
–$3,094

6. The cash flow to stockholders was:
Cash flow to stockholders
Dividends paid
– Net new equity raised
Cash flow to stockholders

$24,326
15,600
$8,726

Answers to questions
1. The firm had positive earnings in an accounting sense (NI > 0) and had positive cash flow from
operations. The firm invested $17,611 in new net working capital and $74,492 in new fixed assets.
The firm gave $5,631 to its stakeholders. It raised $3,094 from bondholders, and paid $8,726 to
stockholders.
2. The expansion plans may be a little risky. The company does have a positive cash flow, but a large
portion of the operating cash flow is already going to capital spending. The company has had to raise
capital from creditors and stockholders for its current operations. So, the expansion plans may be too
aggressive at this time. On the other hand, companies do need capital to grow. Before investing or
loaning the company money, you would want to know where the current capital spending is going,

and why the company is spending so much in this area already.


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CHAPTER 3
RATIOS ANALYSIS AT S&S AIR
1.

The calculations for the ratios listed are:
Current ratio = $2,186,520 / $2,919,000
Current ratio = 0.75 times
Quick ratio = ($2,186,250 – 1,037,120) / $2,919,000
Quick ratio = 0.39 times
Cash ratio = $441,000 / $2,919,000
Cash ratio = 0.15 times
Total asset turnover = $30,499,420 / $18,308,920
Total asset turnover = 1.67 times
Inventory turnover = $22,224,580 / $1,037,120
Inventory turnover = 21.43 times
Receivables turnover = $30,499,420 / $708,400
Receivables turnover = 43.05 times
Total debt ratio = ($18,308,920 – 10,069,920) / $18,308,920
Total debt ratio = 0.45 times
Debt-equity ratio = ($2,919,000 + 5,320,000) / $10,069,920
Debt-equity ratio = 0.82 times
Equity multiplier = $18,308,920 / $10,069,920
Equity multiplier = 1.82 times
Times interest earned = $3,040,660 / $478,240
Times interest earned = 6.36 times

Cash coverage = ($3,040,660 + 1,366,680) / $478,420
Cash coverage = 9.22 times
Profit margin = $1,537,452 / $30,499,420
Profit margin = 5.04%
Return on assets = $1,537,452 / $18,308,920
Return on assets = 8.40%
Return on equity = $1,537,452 / $10,069,920
Return on equity = 15.27%


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CHAPTER 3 C-5
2.

Boeing is probably not a good aspirant company. Even though both companies manufacture
airplanes, S&S Air manufactures small airplanes, while Boeing manufactures large, commercial
aircraft. These are two different markets. Additionally, Boeing is heavily involved in the defense
industry, as well as Boeing Capital, which finances airplanes.
Bombardier is a Canadian company that builds business jets, short-range airliners and fire-fighting
amphibious aircraft and also provides defense-related services. It is the third largest commercial
aircraft manufacturer in the world. Embraer is a Brazilian manufacturer than manufactures
commercial, military, and corporate airplanes. Additionally, the Brazilian government is a part
owner of the company. Bombardier and Embraer are probably not good aspirant companies because
of the diverse range of products and manufacture of larger aircraft.
Cirrus is the world's second largest manufacturer of single-engine, piston-powered aircraft. Its
SR22 is the world's best selling plane in its class. The company is noted for its innovative small
aircraft and is a good aspirant company.
Cessna is a well known manufacturer of small airplanes. The company produces business jets,
freight- and passenger-hauling utility Caravans, personal and small-business single engine pistons.

It may be a good aspirant company, however, its products could be considered too broad and
diversified since S&S Air produces only small personal airplanes.

3.

S&S is below the median industry ratios for the current and cash ratios. This implies the company
has less liquidity than the industry in general. However, both ratios are above the lower quartile, so
there are companies in the industry with lower liquidity ratios than S&S Air. The company may
have more predictable cash flows, or more access to short-term borrowing. If you created an
Inventory to Current liabilities ratio, S&S Air would have a ratio that is lower than the industry
median. The current ratio is below the industry median, while the quick ratio is above the industry
median. This implies that S&S Air has less inventory to current liabilities than the industry median.
S&S Air has less inventory than the industry median, but more accounts receivable than the
industry since the cash ratio is lower than the industry median.
The turnover ratios are all higher than the industry median; in fact, all three turnover ratios are
above the upper quartile. This may mean that S&S Air is more efficient than the industry.
The financial leverage ratios are all below the industry median, but above the lower quartile. S&S
Air generally has less debt than comparable companies, but still within the normal range.
The profit margin, ROA, and ROE are all slightly below the industry median, however, not
dramatically lower. The company may want to examine its costs structure to determine if costs can
be reduced, or price can be increased.
Overall, S&S Air’s performance seems good, although the liquidity ratios indicate that a closer look
may be needed in this area.


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C-6 CASE SOLUTIONS
Below is a list of possible reasons it may be good or bad that each ratio is higher or lower than the
industry. Note that the list is not exhaustive, but merely one possible explanation for each ratio.

Ratio
Current ratio
Quick ratio
Cash ratio
Total asset turnover

Inventory turnover
Receivables turnover

Good
Better at managing current
accounts.
Better at managing current
accounts.
Better at managing current
accounts.
Better at utilizing assets.

Better at inventory management,
possibly due to better procedures.
Better at collecting receivables.

Total debt ratio

Less debt than industry median
means the company is less likely
to experience credit problems.

Debt-equity ratio


Less debt than industry median
means the company is less likely
to experience credit problems.

Equity multiplier

Less debt than industry median
means the company is less likely
to experience credit problems.

TIE

Higher quality materials could be
increasing costs.

Cash coverage

Less debt than industry median
means the company is less likely
to experience credit problems.

Profit margin

The PM is slightly below the
industry median. It could be a
result of higher quality materials
or better manufacturing.
Company may have newer assets
than the industry.
Lower profit margin may be a

result of higher quality.

ROA
ROE

Bad
May be having liquidity problems.
May be having liquidity problems.
May be having liquidity problems.
Assets may be older and
depreciated, requiring extensive
investment soon.
Could be experiencing inventory
shortages.
May have credit terms that are too
strict. Decreasing receivables
turnover may increase sales.
Increasing the amount of debt can
increase shareholder returns.
Especially notice that it will
increase ROE.
Increasing the amount of debt can
increase shareholder returns.
Especially notice that it will
increase ROE.
Increasing the amount of debt can
increase shareholder returns.
Especially notice that it will
increase ROE.
The company may have more

difficulty meeting interest
payments in a downturn.
Increasing the amount of debt can
increase shareholder returns.
Especially notice that it will
increase ROE.
Company may be having trouble
controlling costs.

Company may have newer assets
than the industry.
Profit margin and EM are lower
than industry, which results in the
lower ROE.


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CHAPTER 4
PLANNING FOR GROWTH AT S&S AIR
1.

To calculate the internal growth rate, we first need to find the ROA and the retention ratio, so:
ROA = NI / TA
ROA = $1,537,452 / $18,309,920
ROA = .0840 or 8.40%
b = Addition to RE / NI
b = $977,452 / $1,537,452
b = 0.64
Now we can use the internal growth rate equation to get:

Internal growth rate = (ROA × b) / [1 – (ROA × b)]
Internal growth rate = [0.0840(.64)] / [1 – 0.0840(.64)]
Internal growth rate = .0564 or 5.64%
To find the sustainable growth rate, we need the ROE, which is:
ROE = NI / TE
ROE = $1,537,452 / $10,069,920
ROE = .1527 or 15.27%
Using the retention ratio we previously calculated, the sustainable growth rate is:
Sustainable growth rate = (ROE × b) / [1 – (ROE × b)]
Sustainable growth rate = [0.1527(.64)] / [1 – 0.1527(.64)]
Sustainable growth rate = .1075 or 10.75%
The internal growth rate is the growth rate the company can achieve with no outside financing of any
sort. The sustainable growth rate is the growth rate the company can achieve by raising outside debt
based on its retained earnings and current capital structure.


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C-8 CASE SOLUTIONS
2.

Pro forma financial statements for next year at a 12 percent growth rate are:
Income statement
Sales
COGS
Other expenses
Depreciation
EBIT
Interest
Taxable income

Taxes (40%)
Net income

$ 34,159,350
24,891,530
4,331,600
1,366,680
$ 3,569,541
478,240
$ 3,091,301
1,236,520
$ 1,854,780

Dividends
Add to RE

$

675,583
1,179,197
Balance sheet

Assets
Current Assets
Cash
Accounts rec.
Inventory
Total CA

$


493,920
793,408
1,161,574
$ 2,448,902

Liabilities & Equity
Current Liabilities
Accounts Payable
$
Notes Payable
Total CL
$

995,680
2,030,000
3,025,680

Long-term debt

5,320,000

Fixed assets
Net PP&E

$ 18,057,088

Shareholder Equity
Common stock
Retained earnings

Total Equity

Total Assets

$ 20,505,990

Total L&E

$

$

350,000
10,899,117
$ 11,249,117
$ 19,594,787

So, the EFN is:
EFN = Total assets – Total liabilities and equity
EFN = $20,505,990 – 19,594,797
EFN = $911,193
The company can grow at this rate by changing the way it operates. For example, if profit margin
increases, say by reducing costs, the ROE increases, it will increase the sustainable growth rate. In
general, as long as the company increases the profit margin, total asset turnover, or equity multiplier,
the higher growth rate is possible. Note however, that changing any one of these will have the effect
of changing the pro forma financial statements.


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CHAPTER 4 C-9
3.

Now we are assuming the company can only build in amounts of $5 million. We will assume that the
company will go ahead with the fixed asset acquisition. To estimate the new depreciation charge, we
will find the current depreciation as a percentage of fixed assets, then, apply this percentage to the
new fixed assets. The depreciation as a percentage of assets this year was:
Depreciation percentage = $1,366,680 / $16,122,400
Depreciation percentage = .0848 or 8.48%
The new level of fixed assets with the $5 million purchase will be:
New fixed assets = $16,122,400 + 5,000,000 = $21,122,400
So, the pro forma depreciation will be:
Pro forma depreciation = .0848($21,122,400)
Pro forma depreciation = $1,790,525
We will use this amount in the pro forma income statement. So, the pro forma income statement will
be:
Income statement
Sales
COGS
Other expenses
Depreciation
EBIT
Interest
Taxable income
Taxes (40%)
Net income

$ 34,159,350
24,891,530
4,331,600

1,790,525
$ 3,145,696
478,240
$ 2,667,456
1,066,982
$ 1,600,473

Dividends
Add to RE

$

582,955
1,017,519


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C-10 CASE SOLUTIONS
The pro forma balance sheet will remain the same except for the fixed asset and equity accounts. The
fixed asset account will increase by $5 million, rather than the growth rate of sales.
Balance sheet
Assets
Current Assets
Cash
Accounts rec.
Inventory
Total CA

$


493,920
793,408
1,161,574
$ 2,448,902

Liabilities & Equity
Current Liabilities
Accounts Payable
$
Notes Payable
Total CL
$

995,680
2,030,000
3,025,680

Long-term debt

5,320,000

Fixed assets
Net PP&E

$ 21,122,400

Shareholder Equity
Common stock
Retained earnings

Total Equity

Total Assets

$ 23,571,302

Total L&E

$

$

350,000
10,737,439
$ 11,087,439
$ 19,433,119

So, the EFN is:
EFN = Total assets – Total liabilities and equity
EFN = $23,581,302 – 19,433,119
EFN = $4,138,184
Since the fixed assets have increased at a faster percentage than sales, the capacity utilization for
next year will decrease.


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CHAPTER 6
THE MBA DECISION
1.


Age is obviously an important factor. The younger an individual is, the more time there is for the
(hopefully) increased salary to offset the cost of the decision to return to school for an MBA. The
cost includes both the explicit costs such as tuition, as well as the opportunity cost of the lost salary.

2.

Perhaps the most important nonquantifiable factors would be whether or not he is married and if he
has any children. With a spouse and/or children, he may be less inclined to return for an MBA since
his family may be less amenable to the time and money constraints imposed by classes. Other factors
would include his willingness and desire to pursue an MBA, job satisfaction, and how important the
prestige of a job is to him, regardless of the salary.

3.

He has three choices: remain at his current job, pursue a Wilton MBA, or pursue a Mt. Perry MBA.
In this analysis, room and board costs are irrelevant since presumably they will be the same whether
he attends college or keeps his current job. We need to find the aftertax value of each, so:
Remain at current job:
Aftertax salary = $55,000(1 – .26) = $40,700
His salary will grow at 3 percent per year, so the present value of his aftertax salary is:
PV = C {1 – [(1 + g)/(1 + r)]t} / (r – g)]
PV = $40,700{[1 – [(1 +.065)/(1 + .03)]38} / (.065 – .03)
PV = $836,227.34
Wilton MBA:
Costs:
Total direct costs = $63,000 + 2,500 + 3,000 = $68,500
PV of direct costs = $68,500 + 68,500 / (1.065) = $132,819.25
PV of indirect costs (lost salary) = $40,700 / (1.065) + $40,700(1 + .03) / (1 + .065)2 = $75,176.00
Salary:

PV of aftertax bonus paid in 2 years = $15,000(1 – .31) / 1.0652 = $9,125.17
Aftertax salary = $98,000(1 – .31) = $67,620


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C-12 CASE SOLUTIONS
His salary will grow at 4 percent per year. We must also remember that he will now only work for 36
years, so the present value of his aftertax salary is:
PV = C {1 – [(1 + g)/(1 + r)]t} / (r – g)]
PV = $67,620{[1 – [(1 +.065)/(1 + .04)]36} / (.065 – .04)
PV = $1,554,663.22
Since the first salary payment will be received three years from today, so we need to discount this for
two years to find the value today, which will be:
PV = $1,544,663.22 / 1.0652
PV = $1,370,683.26
So, the total value of a Wilton MBA is:
Value = –$75,160 – 132,819.25 + 9,125.17 + 1,370,683.26 = $1,171,813.18
Mount Perry MBA:
Costs:
Total direct costs = $78,000 + 3,500 + 3,000 = $86,500. Note, this is also the PV of the direct costs
since they are all paid today.
PV of indirect costs (lost salary) = $40,700 / (1.065) = $38,215.96
Salary:
PV of aftertax bonus paid in 1 year = $10,000(1 – .29) / 1.065 = $6,666.67
Aftertax salary = $81,000(1 – .29) = $57,510
His salary will grow at 3.5 percent per year. We must also remember that he will now only work for
37 years, so the present value of his aftertax salary is:
PV = C {1 – [(1 + g)/(1 + r)]t} / (r – g)]
PV = $57,510{[1 – [(1 +.065)/(1 + .035)]37} / (.065 – .035)

PV = $1,250,991.81
Since the first salary payment will be received two years from today, so we need to discount this for
one year to find the value today, which will be:
PV = $1,250,991.81 / 1.065
PV = $1,174,640.20
So, the total value of a Mount Perry MBA is:
Value = –$86,500 – 38,215.96 + 6,666.67 + 1,174,640.20 = $1,056,590.90


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CHAPTER 6 C-13
4.

He is somewhat correct. Calculating the future value of each decision will result in the option with
the highest present value having the highest future value. Thus, a future value analysis will result in
the same decision. However, his statement that a future value analysis is the correct method is wrong
since a present value analysis will give the correct answer as well.

5.

To find the salary offer he would need to make the Wilton MBA as financially attractive as the as the
current job, we need to take the PV of his current job, add the costs of attending Wilton, and the PV
of the bonus on an aftertax basis. So, the necessary PV to make the Wilton MBA the same as his
current job will be:
PV = $836,227.34 + 132,819.25 + 75,176.00 – 9,125.17 = $1,035,097.42
This PV will make his current job exactly equal to the Wilton MBA on a financial basis. Since his
salary will still be a growing annuity, the aftertax salary needed is:
PV = C {1 – [(1 + g)/(1 + r)]t} / (r – g)]
$1,035,097.42 = C {[1 – [(1 +.065)/(1 + .04)]36} / (.065 – .04)

C = $45,021.51
This is the aftertax salary. So, the pretax salary must be:
Pretax salary = $45,021.51 / (1 – .31) = $65,248.57

6.

The cost (interest rate) of the decision depends on the riskiness of the use of funds, not the source of
the funds. Therefore, whether he can pay cash or must borrow is irrelevant. This is an important
concept which will be discussed further in capital budgeting and the cost of capital in later chapters.


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CHAPTER 7
FINANCING S&S AIR’S EXPANSION
PLANS WITH A BOND ISSUE
A rule of thumb with bond provisions is to determine who benefits by the provision. If the company
benefits, the bond will have a higher coupon rate. If the bondholders benefit, the bond will have a
lower coupon rate.
1.

A bond with collateral will have a lower coupon rate. Bondholders have the claim on the collateral,
even in bankruptcy. Collateral provides an asset that bondholders can claim, which lowers their risk
in default. The downside of collateral is that the company generally cannot sell the asset used as
collateral, and they will generally have to keep the asset in good working order.

2.

The more senior the bond is, the lower the coupon rate. Senior bonds get full payment in bankruptcy
proceedings before subordinated bonds receive any payment. A potential problem may arise in that

the bond covenant may restrict the company from issuing any future bonds senior to the current
bonds.

3.

A sinking fund will reduce the coupon rate because it is a partial guarantee to bondholders. The
problem with a sinking fund is that the company must make the interim payments into a sinking fund
or face default. This means the company must be able to generate these cash flows.

4.

A provision with a specific call date and prices would increase the coupon rate. The call provision
would only be used when it is to the company’s advantage, thus the bondholder’s disadvantage. The
downside is the higher coupon rate. The company benefits by being able to refinance at a lower rate
if interest rates fall significantly, that is, enough to offset the call provision cost.

5.

A deferred call would reduce the coupon rate relative to a call provision with a deferred call. The
bond will still have a higher rate relative to a plain vanilla bond. The deferred call means that the
company cannot call the bond for a specified period. This offers the bondholders protection for this
period. The disadvantage of a deferred call is that the company cannot call the bond during the call
protection period. Interest rates could potentially fall to the point where it would be beneficial for the
company to call the bond, yet the company is unable to do so.

6.

A make-whole call provision should lower the coupon rate in comparison to a call provision with
specific dates since the make-whole call repays the bondholder the present value of the future cash
flows. However, a make-whole call provision should not affect the coupon rate in comparison to a

plain vanilla bond. Since the bondholders are made whole, they should be indifferent between a plain
vanilla bond and a make-whole bond. If a bond with a make-whole provision is called, bondholders
receive the market value of the bond, which they can reinvest in another bond with similar
characteristics. If we compare this to a bond with a specific call price, investors rarely receive the
full market value of the future cash flows.


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CHAPTER 7 C-15
7.

A positive covenant would reduce the coupon rate. The presence of positive covenants protects
bondholders by forcing the company to undertake actions that benefit bondholders. Examples of
positive covenants would be: the company must maintain audited financial statements; the company
must maintain a minimum specified level of working capital or a minimum specified current ratio;
the company must maintain any collateral in good working order. The negative side of positive
covenants is that the company is restricted in its actions. The positive covenant may force the
company into actions in the future that it would rather not undertake.

8.

A negative covenant would reduce the coupon rate. The presence of negative covenants protects
bondholders from actions by the company that would harm the bondholders. Remember, the goal of
a corporation is to maximize shareholder wealth. This says nothing about bondholders. Examples of
negative covenants would be: the company cannot increase dividends, or at least increase beyond a
specified level; the company cannot issue new bonds senior to the current bond issue; the company
cannot sell any collateral. The downside of negative covenants is the restriction of the company’s
actions.


9.

Even though the company is not public, a conversion feature would likely lower the coupon rate.
The conversion feature would permit bondholders to benefit if the company does well and also goes
public. The downside is that the company may be selling equity at a discounted price.

10. The downside of a floating-rate coupon is that if interest rates rise, the company has to pay a higher
interest rate. However, if interest rates fall, the company pays a lower interest rate.


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CHAPTER 8
STOCK VALUATION AT RAGAN, INC.
1.

The total dividends paid by the company were $126,000. Since there are 100,000 shares outstanding,
the total earnings for the company were:
Total earnings = 100,000($4.54) = $454,000
This means the payout ratio was:
Payout ratio = $126,000/$454,000 = 0.28
So, the retention ratio was:
Retention ratio = 1 – .28 = 0.72
Using the retention ratio, the company’s growth rate is:
g = ROE × b = .28(.72) = .1806 or 18.06%
The dividend per share paid this year was:
D0 = $63,000 / 50,000
D0 = $1.26
Now we can find the stock price, which is:
P0 = D1 / (R – g)

P0 = $1.26(1.1806) / (.20 – .1806)
P0 = $76.75

2.

Since Expert HVAC had a write off which affected its earnings per share, we need to recalculate the
industry EPS. So, the industry EPS is:
Industry EPS = ($0.79 + 1.38 + 1.06) / 3 = $1.08
Using this industry EPS, the industry payout ratio is:
Industry payout ratio = $0.40/$1.08 = .3715 or 37.15%
So, the industry retention ratio is
Industry retention ratio = 1 – .3715 = .6285 or 62.85%


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CHAPTER 8 C-17
This means the industry growth rate is:
Industry g = .1233(.6285) = .0775 or 7.75%
The company will continue to grow at its current pace for five years before slowing to the industry
growth rate. So, the total dividends for each of the next six years will be:
D1 = $1.26(1.1806) = $1.49
D2 = $1.49(1.1806) = $1.76
D3 = $1.76(1.1806) = $2.07
D4 = $2.07(1.1806) = $2.45
D5 = $2.45(1.1806) = $2.89
D6 = $2.89(1.0849) = $3.11
The stock price in Year 5 with the industry required return will be:
Stock value in Year 5 = $3.11 / (.1167 – .0775) = $79.54
This means the total value of the stock today is:

P0 = $1.149/1.1167 + $1.76/1.11672 + $2.07/1.11673 + $2.45/1.11674 + ($2.89 + 79.54) / 1.11675
P0 = $53.28
3.

Using the revised industry EPS, the industry PE ratio is:
Industry PE = $13.09 / $1.08 = 12.15
Using the original stock price assumption, Ragan’s PE ratio is:
Ragan PE (original assumptions) = $76.75 / $4.54 = 16.90
Using the revised assumptions, Ragan’s PE = $53.28 / $4.54 = 11.74
Obviously, using the original assumptions, Ragan’s PE is too high. The PE using the revised
assumptions is close to the industry PE ratio. Using the industry average PE, we can calculate a
stock price for Ragan, which is:
Stock price implied by industry PE = 12.15($4.32) = $55.18

4.

If the ROE on the company’s projects exceeds the required return, the company should retain
earnings and reinvest. If the ROE on the company’s projects is lower than the required return, the
company should pay dividends. This makes logical sense. Consider a company with a 10 percent
required return. If the company can keep retained earnings and reinvest those earnings at 15 percent,
shareholders would be better off since the dividends in future years would be more than needed for
the required return.


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C-18 CASE SOLUTIONS
5.

Again, we will assume the results in Question 2 are correct. The growth rate of the company we

calculated in this question was the industry growth rate of 7.75 percent. Since the growth rate is:
g = ROE × b
If we assume the payout ratio remains constant, the ROE is:
.0775 = ROE(.72)
ROE = .1073 or 10.73%

6.

The most obvious solution is to retain more of the company’s earnings and invest in profitable
opportunities. This strategy will not work if the return on the company’s investment is lower than the
required return on the company’s stock.


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CHAPTER 9
BULLOCK GOLD MINING
1.

An example spreadsheet is:


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C-20 CASE SOLUTIONS
Note, there is no Excel function to directly calculate the payback period. We used “If” statements in
our spreadsheet. The IF statement we used is:
=IF(-D8>(D9+D10+D11+D12+D13+D14),"Greater than 6 years",IF(D>(D9+D10+D11+D12+D13),(5+(-D8-D9-D10-D11-D12-D13)/D14),IF(D8>(D9+D10+D11+D12),(4+(-D8-D9-D10-D11-D12)/D13),IF(-D8>(D9+D10+D11),(3+(-D8-D9D10-D11)/D12),IF(-D8>(D9+D10),(2+(-D8-D9-D10)/D11),IF(-D8>D9,(1+(-D8-D9)/D10),IF(D82.


Since the NPV of the mine is positive, the company should open the mine. We should note, it may
be advantageous to delay the mine opening because of real options, a topic covered in more detail in
a later chapter.

3.

There are many possible variations on the VBA code to calculate the payback period. Below is a
VBA program from />Function PAYBACK(invest, finflow)
Dim x As Double, v As Double
Dim c As Integer, i As Integer
x = Abs(invest)
i=1
c = finflow.Count
Do
x=x-v
v = finflow.Cells(i).Value
If x = v Then
PAYBACK = i
Exit Function
ElseIf x < v Then
P=i-1
Z=x/v
PAYBACK = P + Z
Exit Function
End If
i=i+1
Loop Until i > c
PAYBACK = "no payback"
End Function



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CHAPTER 10
CONCH REPUBLIC ELECTRONICS,
PART 1
This is an in-depth capital budgeting problem. The initial cash outlay at Time 0 is simply the cost of
the new equipment, $21,500,000. The sales each year are a combination of the sales of the new
PDA, the lost sales each year, and the lost revenue. In this case, the lost sales are 15,000 units of the
old PDA each year for two years at a price of $290 each. The company will also be forced to reduce
the price of the old PDA on the units they will still sell for the next two years. So, the total change in
sales is:
Sales = New sales – Lost sales – Lost revenue
Year 1 = (74,000 × $360) – (15,000 × $290) – [(80,000 – 15,000) × ($290 – 255)] = $20,015,000
Year 2 = (95,000 × $360) – (15,000 × $290) – [(60,000 – 15,000) × ($290 – 255)] = $28,275,000
Sales
New
Lost sales
Lost revenue
Net sales
VC
New
Lost sales

Sales
VC
Fixed costs
Depreciation
EBT
Tax

NI
+ Depreciation
OCF

Year 1
$26,640,000
–4,350,000
–2,275,000
$20,015,000

Year 2
$34,200,000
–4,350,000
–1,575,000
$28,275,000

Year 3
$45,000,000

Year 4
$37,800,000

Year 5
$28,800,000

$45,000,000

$37,800,000

$28,800,000


$11,470,000
–1,800,000
$9,670,000

$14,725,000
–1,800,000
$12,925,000

$19,375,000

$16,275,000

$12,400,000

$19,375,000

$16,275,000

$12,400,000

$20,015,000
9,670,000
4,700,000
3,072,350
$2,572,650
900,428
$1,672,223
3,072,350
$4,744,573


$28,275,000
12,925,000
4,700,000
5,265,350
$5,384,650
1,884,628
$3,500,023
5,265,350
$8,765,373

$45,000,000
19,375,000
4,700,000
3,760,350
$17,164,650
6,007,628
$11,157,023
3,760,350
$14,917,373

$37,800,000
16,275,000
4,700,000
2,685,350
$14,139,650
4,948,878
$9,190,773
2,685,350
$11,876,123


$28,800,000
12,400,000
4,700,000
1,919,950
$9,780,050
3,423,018
$6,357,033
1,919,950
$8,276,983


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C-22 CASE SOLUTIONS

NWC
Beg
End
NWC CF

$0
4,003,000
–$4,003,000

$4,003,000
5,655,000
–$1,652,000

$5,655,000

9,000,000
–$3,345,000

$9,000,000
7,560,000
$1,440,000

$7,560,000
0
$7,560,000

$741,573

$7,113,373

$11,572,373

$13,316,123

$15,836,983

Net CF

BV of equipment = ($21,500,000 – 3,072,500 – 5,265,350 – 3,760,350 – 2,685,350 – 1,919,950)
BV of equipment = $4,796,650
Taxes on sale of equipment = (BV – MV)(tC) = (4,796,650 – 4,100,000)(.35) = $243,828
CF on sale of equipment = $4,100,000 + 243,828 = $4,343,828
So, the cash flows of the project are:
Time
0

1
2
3
4
5
1.

Cash flow
–$21,500,000
741,573
7,113,373
11,572,373
13,316,123
20,180,810

The payback period is:
Payback period = 3 + ($2,072,683 / $13,316,123)
Payback period = 3.156 years

2.

The profitability index is:
Profitability index = [($741,573 / 1.12) + ($7,113,373 / 1.122) + ($11,572,373 / 1.123) +
($13,316,123 / 1.124) + ($20,180,810 / 1.125)] / $21,500,000
Profitability index = 1.604

3.

The project IRR is:
IRR: –$21,500,000 = $741,573 / (1 + IRR) + $7,113,373 / (1 + IRR)2 + $11,572,373 / (1 + IRR)3 +

$13,316,123 / (1 + IRR)4 + $20,180,810 / (1 + IRR)5
IRR = 27.62%

4.

The project NPV is:
NPV = –$21,500,000 + $741,573 / 1.12 + $7,113,373 / 1.122 + $11,572,373 / 1.123 +
$13,316,123 / 1.124 + $20,180,810 / 1.125
NPV = $12,983,611.62


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CHAPTER 11
CONCH REPUBLIC ELECTRONICS,
PART 2
1.

Here we want to examine the sensitivity of NPV to changes in the price of the new PDA. The
calculations for sensitivity to changes in price are similar to the original cash flows. The only
difference is that we will change the price of the PDA. We will use a price of $370 per unit, but
remember that the price we choose is irrelevant: The final answer we want, the sensitivity of NPV to
a one dollar change in price will be the same no matter what price we use. The projections with the
new prices are:
The sales figure for the first two years will be the sales of the new PDA, minus the lost sales of the
existing PDA, minus the lost dollar sales from the price reduction of the existing PDA, or:
Sales = New sales – Lost sales – Lost revenue
Year 1 sales = (74,000 × $370) – (15,000 × $290) – [(80,000 – 15,000) × ($290 – 255)]
Year 1 sales = $20,755,000
Year 2 sales = (95,000 × $370) – (15,000 × $290) – [(60,000 – 15,000) × ($290 – 255)]

Year 2 sales = $29,225,000
Sales
New
Lost sales
Lost revenue
Net sales
VC
New
Lost sales

Year 1
$27,380,000
4,350,000
2,275,000
$20,755,000

Year 2
$35,150,000
4,350,000
1,575,000
$29,225,000

Year 3
$46,250,000

Year 4
$38,850,000

Year 5
$29,600,000


$46,250,000

$38,850,000

$29,600,000

$11,470,000
1,800,000
$9,670,000

$14,725,000
1,800,000
$12,925,000

$19,375,000

$16,275,000

$12,400,000

$19,375,000

$16,275,000

$12,400,000


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