Appendix Answers to Select Basic Problems A-5
bre44380_app_A1-A10 5 10/09/15 08:14 PM
CHAPTER 20
- Call; exercise; put; European.
- a. The exercise price of the put option.
b. The stock price. - Buy a call and lend the present value of the exercise
price. - (a) See Figure 3; (b) stock price − PV(EX) = 100 − 100/
1.1 = $9.09. - (a) Zero; (b) Stock price less the present value of the
exercise price. - a. All investors, however risk-averse, should value more
highly an option on a volatile stock. For both Exxon
Mobil and Google the option is valueless if final
stock price is below the exercise price, but the option
on Google has more upside potential.
b. American options can be exercised anytime.
However, we know that in the absence of dividends
the value of a call option increases with time to
maturity. So, if you exercised an American call
option early, you could needlessly reduce its value.
The investor is better off selling the Fava Farms call
than exercising it.
CHAPTER 21
- a. Using risk-neutral method,
(p × 20) + (1 − p)(− 16.7) = 1, p = .48.
Value of call =
(.48 × 8) + (.52 × 0)
_________________
1.01
= 3.8
- a. Direct costs of financial distress are the legal and
administrative costs of bankruptcy. Indirect costs
include possible delays in liquidation (Eastern Air-
lines) or poor investment or operating decisions
while bankruptcy is being resolved. Also the threat
of bankruptcy can lead to costs.
b. If financial distress increases odds of default, man-
agers’ and shareholders’ incentives change. This can
lead to poor investment or financing decisions.
c. See the answer to 5(b). Examples are the “games”
described in Section 18-3. - More profitable firms have more taxable income to
shield and are less likely to incur the costs of distress.
Therefore the trade-off theory predicts high (book) debt
ratios for more profitable companies. In practice the
more profitable companies borrow less. - When a company issues securities, outside investors
worry that management may have unfavorable informa-
tion. If so the securities can be overpriced. This worry
is much less with debt than equity. Debt securities
are safer than equity, and their price is less affected if
unfavorable news comes out later.
A company that can borrow (without incurring
substantial costs of financial distress) usually does so.
An issue of equity would be read as bad news by inves-
tors, and the new stock could be sold only at a discount
to the previous market price. - Financial slack is most valuable to growth companies
with good but uncertain investment opportunities. Slack
means that financing can be raised quickly for positive-
NPV investments. But too much financial slack can
tempt mature companies to overinvest. Increased bor-
rowing can force such firms to pay out cash to investors.
CHAPTER 19
- Market values of debt and equity are
D = .9 × 75 = $67.5 million
and E = 42 × 2.5 = $105 million. D/V = .39.
WACC = .09(1 − .35).39 + .18(.61) = .1325, or 13.25%. - (a) False; (b) True; (c) True.
- (a) True; (b) False, if interest tax shields are valued
separately; (c) True. - a. 12%, of course.
b. rE = .12 + (.12 − .075)(30/70) = .139;
WACC = .075(1 − .35)(.30) + .139(.70) = .112, or
11.2%. - No. The more debt you use, the higher rate of return
equity investors will require. (Lenders may demand
more also.) Thus there is a hidden cost of the “cheap”
debt: it makes equity more expensive.
Payoff
Stock
100 price
◗ FIGURE 3 Chapter 20, Problem 7.