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Chapter 9 – Index of Sample Problems

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Chapter16
•Raising Capital
McGraw-Hill/Irwin
Copyright В© 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter 16 – Index of Sample
Problems
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Slide # 02 - 03
Slide # 04 - 05
Slide # 06 - 07
Slide # 08 - 09
Slide # 10 - 11
Slide # 12 - 18
Slide # 19 - 20
Slide # 21 - 25
Slide # 26 - 30
Dutch auction
IPO allocations
Flotation costs
Rights – Number of shares needed
Rights – Number of rights
Rights – Value of a right
Dilution – Ownership
Dilution – Accounting and financial
Dilution – Portfolio value
The Financial life cycle of a firm
• Early-stage financing and venture capital
• Selling securities to public: cash offers, right
offers
• Initial public offering (IPO)
• Seasoned equity offering (SEO)
Underwriter
• Cash offers
• 1. Formulating the method used to issued the
securities
• 2. Pricing the new securities
• 3. Selling the new securities
• Syndicate
• Gross spread
Types of underwriting
• Firm commitment underwriting
• Best efforts underwriting
• Dutch auction underwriting ( uniform price
auction)
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Aftermarket
The green shoe provision
Lockup agreement
The Quiet period
• IPOs and underpricing
Seasoned equity offering
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Costs
1. gross spread
Other direct expense
Indirect expenses
Abnormal returns
Underpricing
Green shoe options
2: Dutch auction
The Samson Co. wants to sell 1,000 shares of stock. The shares
are to be sold in a Dutch auction. The following bids have been
received.
Bidder
Quantity
Price
A
200
$23
B
400
$21
C
600
$19
D
500
$18
How much will the company receive per share of stock sold?
3: Dutch auction
The Samson Co. wants to sell 1,000 shares of stock.
Bidder
A
B
C
D
Quantity
200
400
600
500
Price
$23
$21
$19
$18
Total Quantity
200
= 200
200 + 400
= 600
200 + 400 + 600 = 1,200
How much will the company receive per share of stock sold?
4: IPO Allocations
You have placed orders to purchase 100 shares of each of three
IPOs. Each IPO is priced at $10 a share. The number of shares you
are allocated and the market price at the end of the first day are:
Stock Shares allocated
Market price
A
100
$ 8.00
B
80
$11.00
C
20
$15.00
What is the amount of your total profit or loss on these stocks as
of the end of the first day of trading?
5: IPO allocations
Number of shares п‚ґ
(Ending price – Cost)
Profit or
Loss
100 п‚ґ ($ 8 - $10)
-$200
80 п‚ґ ($11 - $10)
$ 80
20 п‚ґ ($15 - $10)
$100
Total
-$ 20
6: Flotation costs
The Alpha Co. wants to raise $20 million to fund a new project.
The company estimates that it will spend $500,000 for
accounting, legal and other costs related to the issue. The
underwriting spread is 7.5 percent. The issue price of the stock
is $25 a share.
How many shares of stock does the Alpha Co. need to sell?
7: Flotation costs
T otal value of issue пЂЅ
$20,000,00 0 пЂ« $500,000
1 - .075
пЂЅ
$ 20 , 500 , 000
. 925
пЂЅ $ 22 ,162 ,162 (rounded)
Number of shares пЂЅ
$22,162,16 2
$25
пЂЅ 886 , 486 shares (rounded)
8: Rights – Number of shares
needed
Tell Me Why, Inc. wants to raise $6 million to develop a new website
designed for kids. The company has decided to do this through a
rights offering with a subscription price of $40. The current market
price of Tell Me Why, Inc. stock is $51.59 per share.
How many new shares of stock does the company need to sell?
Note:
The subscription price is less than the current market price.
This is necessary if a right is to have any value.
9: Rights – Number of shares
needed
Number of shares needed пЂЅ
$ 6 , 000 , 000
$ 40
пЂЅ 150 , 000 shares
10: Rights – Number of rights
Telephoto, Inc. wants to raise $12 million through a rights offering.
Each shareholder will receive one right for each share they own.
The subscription price has been set at $20. Currently, the company
has 1.5 million shares outstanding with a current market price of
$28.45 a share.
How many rights will be issued?
How many rights will be needed to purchase one new share of
stock in this offering?
11: Rights – Number of rights
The company will issue 1.5 million
rights since there are 1.5 million
shares of stock outstanding.
Number of shares needed пЂЅ
$12,000,00 0
$20
пЂЅ 600 , 000
Rights
needed for each new share пЂЅ
Old shares
New shares
пЂЅ
1,500,000
600,000
пЂЅ 2 .5
12: Rights – Value of a right
Kurt currently owns 4 shares of Ideals, Inc. These shares have a
market value of $36 each. Ideals just announced the details of a
new rights offering. The company will issue one right per share of
outstanding stock. The new shares in this offering are priced at
$20 plus 4 rights.
What is the value of one right?
13: Rights – Value of a right
Total invested пЂЅ (4 п‚ґ $36) пЂ« $20
пЂЅ $164
Cost per share пЂЅ
$164
пЂЅ
$ 164
4 пЂ«1
5
пЂЅ $ 32 . 80
Value of right пЂЅ $36.00 - $32.80
пЂЅ $3.20
14: Rights – Value of a right
Ex - rights price пЂЅ $20 пЂ« 4 rights
$ 32 . 80 пЂЅ $20 пЂ« (4 п‚ґ $3.20)
$ 32 . 80 пЂЅ $20 пЂ« $12.80
$ 32 . 80 пЂЅ $32.80
15: Rights – Value of a right
Alexander & Co. currently has a total firm value of $21.6 million.
The company has decided to raise another $6 million through a
rights offering. The subscription price is $15 per new share
purchased. The company currently has 1.2 million shares
outstanding and will issue one right per outstanding share.
How many rights will be needed to purchase one new share?
What is the value of one right?
16: Rights – Value of a right
Number of shares needed пЂЅ
$6,000,000
$15
пЂЅ 400 , 000 shares
Number of rights needed пЂЅ
Old shares
New shares
пЂЅ
1, 200 , 000
400 , 000
пЂЅ3
17: Rights – Value of a right
Current
share price пЂЅ
$21,600,00 0
1,200,000
пЂЅ $ 18 . 00
Ex пЂ­ rights
price of stock пЂЅ
пЂЅ
$ 21 , 600 , 000 пЂ« $ 6 , 000 , 000
1, 200 , 000 пЂ« 400 , 000
$27,600,00 0
1,600,000
пЂЅ $ 17 . 25
Value of one right пЂЅ $18.00 - $17.25
пЂЅ $.75
18: Rights – Value of a right
Ex - rights price пЂЅ Subscripti
on price пЂ« 3 rights
$17.25 пЂЅ $15 пЂ« (3 п‚ґ $.75)
$17.25 пЂЅ $15 пЂ« $2.25
$17.25 пЂЅ $17.25
19: Dilution - Ownership
Tomas owns 3,500 shares of stock in Hot Tamales. The company
currently has 25,000 shares outstanding and is preparing to sell an
additional 10,000 shares to finance future expansion. Tomas is not
going to purchase any additional shares.
How will Tomas’ ownership position in Hot Tamales change as a
result of this new issue of stock?
20: Dilution - Ownership
Current
пЂЅ
position
3,500
пЂЅ 14 %
25,000
Future position
пЂЅ
3,500
25,000 пЂ« 10,000
пЂЅ 10 %
21: Dilution – Accounting and
financial
JKL, Inc. has compiled information on their current financial status
as seen in the table on the next slide. The company is analyzing
the financial impact of a proposed project. The project requires an
initial investment of $200,000 for fixed assets. This investment will
be funded by issuing additional shares of stock. The project has a
net present value of $100,000 and a price / earnings ratio equal to
that of the firm.
Given this information, can you complete the last column on the
next slide to show how the various values will change if the project
is implemented?
22: Dilution – Accounting and
financial
Current firm
Shares outstanding
Book value
Book value per share
Market value
Market value per share
Net income
200,000
$1 million
$5
$1.6 million
$8
$100,000
Return on equity
10%
Earnings per share
$.50
Earnings per share / Price
.0625
Price / Earnings per share
16
Price / Book
1.6
Firm with new project
23: Dilution – Accounting and
financial
Here are some questions to help you:
What will the book value of the company be if you add $200,000 of
fixed assets to the current book value?
What will the market value of the company be if you add $200,000
of fixed assets plus $100,000 from the net present value of the
project to the current market value?
How many shares of stock will need to be sold at the current
market price to raise the $200,000 needed to buy assets?
24: Dilution – Accounting and
financial
What is the market value per share?
If the market value per share, also called the price, is $8.4444 and
the price / earnings ratio is 16, what is the earnings per share?
If you multiply the earnings per share times the number of shares,
won’t you get the net income?
Isn’t the return on equity equal to the net income divided by the
book value?
25: Dilution – Accounting and
financial
Current firm
Firm with new project
200,000
225,000
$1 million
$1.2 million
$5
$5.3333
$1.6 million
$1.9 million
$8
$8.4444
$100,000
$118,755
Return on equity
10%
9.90%
Earnings per share
$.50
$.5278
Earnings per share / Price
.0625
.0625
Price / Earnings per share
16
16
Price / Book
1.6
1.58
Shares outstanding
Book value
Book value per share
Market value
Market value per share
Net income
26: Dilution – Portfolio value
You own 5,000 shares of ABC Co. This represents a 20%
ownership position. The current market price of ABC stock is $40 a
share.
By what percentage will your portfolio value change if the
company sells an additional 5,000 shares of stock at $38 a share
and you do not buy any?
27: Dilution – Portfolio value
Here are some questions to help you answer this problem:
How many shares of stock are currently outstanding?
What is the current value of the firm?
How many shares will be outstanding after the new issue is
released?
By how much will the value of the firm increase when the new
shares are sold?
28: Dilution – Portfolio value
How many shares of stock are currently outstanding?
5,000 п‚ё .20 = 25,000
What is the current value of the firm?
25,000 п‚ґ $40 = $1,000,000
How many shares will be outstanding after the new issue is
released?
25,000 + 5,000 = 30,000
By how much will the value of the firm increase when the new
shares are sold?
$1,000,000 + (5,000 п‚ґ $38) = $1,190,000
29: Dilution – Portfolio value
What is the new price per share?
What is your new portfolio value?
What was your original portfolio value?
What is the percentage change in the value of your portfolio?
30: Dilution – Portfolio value
What is the new price per share?
$1,190,000 п‚ё 30,000 = $39.6667
What is your new portfolio value?
5,000 п‚ґ $39.6667 = $198,333.50
What was your original portfolio value?
5,000 п‚ґ $40.00 = $200,000.00
What is the percentage change in the value of your portfolio?
Percentage
change in your portfolio
пЂЅ
$198,333.5 0 - $200,000
$200,000
пЂЅ пЂ­ . 0083
пЂЅ пЂ­ . 83 %
Chapter16
•End of Chapter 16
McGraw-Hill/Irwin
Copyright В© 2006 by The McGraw-Hill Companies, Inc. All rights reserved.
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