ch18 derivatives and risk management
CHAPTER 18
Derivatives and Risk
Management
Derivative securities
Fundamentals of risk
management
Using derivatives
18-1
Are stockholders concerned about
whether or not a firm reduces the
volatility of its cash flows?
Not necessarily.
If cash flow volatility is due to
systematic risk, it can be
eliminated by diversifying
investors’ portfolios.
18-2
Reasons that corporations
engage in risk
management
Increase their use of debt.
Maintain their optimal capital budget.
Avoid financial distress costs.
Utilize their comparative advantages in
hedging, compared to investors.
Reduce the risks and costs of borrowing.
Reduce the higher taxes that result from
fluctuating earnings.
Initiate compensation programs to reward
managers for achieving stable earnings.
18-3
What is an option?
A contract that gives its holder the
right, but not the obligation, to
buy (or sell) an asset at some
predetermined price within a
specified period of time.
Most important characteristic of
an option:
It does not obligate its owner to take
action.
It merely gives the owner the right to
18-4
buy or sell an asset.
Option terminology
Call option – an option to buy a specified
number of shares of a security within some
future period.
Put option – an option to sell a specified
number of shares of a security within some
future period.
Exercise (or strike) price – the price stated in
the option contract at which the security can
be bought or sold.
Option price – the market price of the option
contract.
18-5
Option terminology
Expiration date – the date the option
matures.
Exercise value – the value of an option if it
were exercised today (Current stock price Strike price).
Covered option – an option written against
stock held in an investor’s portfolio.
Naked (uncovered) option – an option
written without the stock to back it up.
18-6
Option terminology
In-the-money call – a call option whose
exercise price is less than the current price of
the underlying stock.
Out-of-the-money call – a call option whose
exercise price exceeds the current stock price.
LEAPS: Long-term Equity AnticiPation
Securities are similar to conventional options
except that they are long-term options with
maturities of up to 2 1/2 years.
18-7
Option example
A call option with an exercise price of
$25, has the following values at these
prices:
Stock price
$25
30
35
40
45
50
Call option price
$3.00
7.50
12.00
16.50
21.00
25.50
18-8
Determining option
exercise value and option
premium
Stock Strike
Option
price
price
$25.00 $25.00
30.00 25.00
35.00 25.00
40.00 25.00
45.00 25.00
50.00 25.00
Exercise
value
$0.00
5.00
10.00
15.00
20.00
25.00
Option
price premium
$3.00
$3.00
7.50
2.50
12.00
2.00
16.50
1.50
21.00
1.00
25.50
0.50
18-9
How does the option premium
change as the stock price
increases?
The premium of the option price
over the exercise value declines as
the stock price increases.
This is due to the declining degree
of leverage provided by options as
the underlying stock price
increases, and the greater loss
potential of options at higher option
prices.
18-10
Call premium diagram
Option value
30
25
20
Market price
15
Stock
Exercise value
10
Price
5
5
10
15
20
25
30
35
40
45
50
18-11
What are the assumptions of the
Black-Scholes Option Pricing
Model?
The stock underlying the call option
provides no dividends during the call
option’s life.
There are no transactions costs for the
sale/purchase of either the stock or the
option.
kRF is known and constant during the
option’s life.
Security buyers may borrow any fraction
of the purchase price at the short-term,
risk-free rate.
18-12
What are the assumptions of the
Black-Scholes Option Pricing
Model?
No penalty for short selling and
sellers receive immediately full
cash proceeds at today’s price.
Call option can be exercised only
on its expiration date.
Security trading takes place in
continuous time, and stock prices
move randomly in continuous
time.
18-13
Which equations must be solved
to find the Black-Scholes option
price?
2
ln(P/X) [kRF t]
2
d1
σ t
d2 d1 - σ t
V P[N(d1 )] - Xe [N(d2 )]
-kRFt
18-14
value of a call option with P = $27, X
= $25,
kRF = 6%, t = 0.5 years, and σ2 =
0.11.
ln($27/$25
) [(0.06 0.11 )] (0.5)
2
d1
0.5736
(0.3317)(0
.7071)
d2 0.5736- (0.3317)(0
.7071)0.3391
From Table A - 5 in the textbook
N(d1 ) N(0.5736)0.5000 0.21680.7168
N(d2 ) N(0.3391)0.5000 0.13270.6327
18-15
Solving for option value
-kRFt
V P[N(d1)] - Xe
[N(d2 )]
-(0.06)(0.5
)
V $27[0.7168
] - $25e
[0.6327]
V $4.0036
18-16
How do the factors of the B-S
OPM affect a call option’s
value?
As the factor increases … Option value …
Current stock price
Increases
Exercise price
Decreases
Time to expiration
Increases
Risk-free rate
Increases
Stock return variance
Increases
18-17
What is corporate risk
management, and why is it
important to all firms?
Corporate risk management relates to
the management of unpredictable
events that would have adverse
consequences for the firm.
All firms face risks, but the lower
those risks can be made, the more
valuable the firm, other things held
constant. Of course, risk reduction
has a cost.
18-18
Definitions of different
types of risk
Speculative risks – offer the chance of a gain
as well as a loss.
Pure risks – offer only the prospect of a loss.
Demand risks – risks associated with the
demand for a firm’s products or services.
Input risks – risks associated with a firm’s
input costs.
Financial risks – result from financial
transactions.
18-19
Definitions of different
types of risk
Property risks – risks associated with
loss of a firm’s productive assets.
Personnel risk – result from human
actions.
Environmental risk – risk associated
with polluting the environment.
Liability risks – connected with
product, service, or employee liability.
Insurable risks – risks that typically
can be covered by insurance.
18-20
What are the three steps
of corporate risk
management?
Identify the risks faced by the
firm.
2. Measure the potential impact of
the identified risks.
3. Decide how each relevant risk
should be handled.
1.
18-21
What can companies do to
minimize or reduce risk
exposure?
Transfer risk to an insurance company by
paying periodic premiums.
Transfer functions that produce risk to third
parties.
Purchase derivative contracts to reduce input
and financial risks.
Take actions to reduce the probability of
occurrence of adverse events and the
magnitude associated with such adverse
events.
Avoid the activities that give rise to risk.
18-22
What is financial risk
exposure?
Financial risk exposure refers to
the risk inherent in the financial
markets due to price fluctuations.
Example: A firm holds a portfolio
of bonds, interest rates rise, and
the value of the bond portfolio
falls.
18-23
Financial Risk
Management Concepts
Derivative – a security whose value is
derived from the values of other assets.
Swaps, options, and futures are used to
manage financial risk exposures.
Futures – contracts that call for the
purchase or sale of a financial (or real)
asset at some future date, but at a price
determined today. Futures (and other
derivatives) can be used either as highly
leveraged speculations or to hedge and
thus reduce risk.
18-24
Financial Risk
Management Concepts
Hedging – usually used when a price change
could negatively affect a firm’s profits.
Long hedge – involves the purchase of a futures
contract to guard against a price increase.
Short hedge – involves the sale of a futures
contract to protect against a price decline.
Swaps – the exchange of cash payment
obligations between two parties, usually
because each party prefers the terms of the
other’s debt contract. Swaps can reduce
each party’s financial risk.
18-25
How can commodity futures
markets be used to reduce input
price risk?
The purchase of a commodity
futures contract will allow a firm
to make a future purchase of the
input at today’s price, even if
the market price on the item has
risen substantially in the interim.
18-26
Derivatives and Risk
Management
Derivative securities
Fundamentals of risk
management
Using derivatives
18-1
Are stockholders concerned about
whether or not a firm reduces the
volatility of its cash flows?
Not necessarily.
If cash flow volatility is due to
systematic risk, it can be
eliminated by diversifying
investors’ portfolios.
18-2
Reasons that corporations
engage in risk
management
Increase their use of debt.
Maintain their optimal capital budget.
Avoid financial distress costs.
Utilize their comparative advantages in
hedging, compared to investors.
Reduce the risks and costs of borrowing.
Reduce the higher taxes that result from
fluctuating earnings.
Initiate compensation programs to reward
managers for achieving stable earnings.
18-3
What is an option?
A contract that gives its holder the
right, but not the obligation, to
buy (or sell) an asset at some
predetermined price within a
specified period of time.
Most important characteristic of
an option:
It does not obligate its owner to take
action.
It merely gives the owner the right to
18-4
buy or sell an asset.
Option terminology
Call option – an option to buy a specified
number of shares of a security within some
future period.
Put option – an option to sell a specified
number of shares of a security within some
future period.
Exercise (or strike) price – the price stated in
the option contract at which the security can
be bought or sold.
Option price – the market price of the option
contract.
18-5
Option terminology
Expiration date – the date the option
matures.
Exercise value – the value of an option if it
were exercised today (Current stock price Strike price).
Covered option – an option written against
stock held in an investor’s portfolio.
Naked (uncovered) option – an option
written without the stock to back it up.
18-6
Option terminology
In-the-money call – a call option whose
exercise price is less than the current price of
the underlying stock.
Out-of-the-money call – a call option whose
exercise price exceeds the current stock price.
LEAPS: Long-term Equity AnticiPation
Securities are similar to conventional options
except that they are long-term options with
maturities of up to 2 1/2 years.
18-7
Option example
A call option with an exercise price of
$25, has the following values at these
prices:
Stock price
$25
30
35
40
45
50
Call option price
$3.00
7.50
12.00
16.50
21.00
25.50
18-8
Determining option
exercise value and option
premium
Stock Strike
Option
price
price
$25.00 $25.00
30.00 25.00
35.00 25.00
40.00 25.00
45.00 25.00
50.00 25.00
Exercise
value
$0.00
5.00
10.00
15.00
20.00
25.00
Option
price premium
$3.00
$3.00
7.50
2.50
12.00
2.00
16.50
1.50
21.00
1.00
25.50
0.50
18-9
How does the option premium
change as the stock price
increases?
The premium of the option price
over the exercise value declines as
the stock price increases.
This is due to the declining degree
of leverage provided by options as
the underlying stock price
increases, and the greater loss
potential of options at higher option
prices.
18-10
Call premium diagram
Option value
30
25
20
Market price
15
Stock
Exercise value
10
Price
5
5
10
15
20
25
30
35
40
45
50
18-11
What are the assumptions of the
Black-Scholes Option Pricing
Model?
The stock underlying the call option
provides no dividends during the call
option’s life.
There are no transactions costs for the
sale/purchase of either the stock or the
option.
kRF is known and constant during the
option’s life.
Security buyers may borrow any fraction
of the purchase price at the short-term,
risk-free rate.
18-12
What are the assumptions of the
Black-Scholes Option Pricing
Model?
No penalty for short selling and
sellers receive immediately full
cash proceeds at today’s price.
Call option can be exercised only
on its expiration date.
Security trading takes place in
continuous time, and stock prices
move randomly in continuous
time.
18-13
Which equations must be solved
to find the Black-Scholes option
price?
2
ln(P/X) [kRF t]
2
d1
σ t
d2 d1 - σ t
V P[N(d1 )] - Xe [N(d2 )]
-kRFt
18-14
value of a call option with P = $27, X
= $25,
kRF = 6%, t = 0.5 years, and σ2 =
0.11.
ln($27/$25
) [(0.06 0.11 )] (0.5)
2
d1
0.5736
(0.3317)(0
.7071)
d2 0.5736- (0.3317)(0
.7071)0.3391
From Table A - 5 in the textbook
N(d1 ) N(0.5736)0.5000 0.21680.7168
N(d2 ) N(0.3391)0.5000 0.13270.6327
18-15
Solving for option value
-kRFt
V P[N(d1)] - Xe
[N(d2 )]
-(0.06)(0.5
)
V $27[0.7168
] - $25e
[0.6327]
V $4.0036
18-16
How do the factors of the B-S
OPM affect a call option’s
value?
As the factor increases … Option value …
Current stock price
Increases
Exercise price
Decreases
Time to expiration
Increases
Risk-free rate
Increases
Stock return variance
Increases
18-17
What is corporate risk
management, and why is it
important to all firms?
Corporate risk management relates to
the management of unpredictable
events that would have adverse
consequences for the firm.
All firms face risks, but the lower
those risks can be made, the more
valuable the firm, other things held
constant. Of course, risk reduction
has a cost.
18-18
Definitions of different
types of risk
Speculative risks – offer the chance of a gain
as well as a loss.
Pure risks – offer only the prospect of a loss.
Demand risks – risks associated with the
demand for a firm’s products or services.
Input risks – risks associated with a firm’s
input costs.
Financial risks – result from financial
transactions.
18-19
Definitions of different
types of risk
Property risks – risks associated with
loss of a firm’s productive assets.
Personnel risk – result from human
actions.
Environmental risk – risk associated
with polluting the environment.
Liability risks – connected with
product, service, or employee liability.
Insurable risks – risks that typically
can be covered by insurance.
18-20
What are the three steps
of corporate risk
management?
Identify the risks faced by the
firm.
2. Measure the potential impact of
the identified risks.
3. Decide how each relevant risk
should be handled.
1.
18-21
What can companies do to
minimize or reduce risk
exposure?
Transfer risk to an insurance company by
paying periodic premiums.
Transfer functions that produce risk to third
parties.
Purchase derivative contracts to reduce input
and financial risks.
Take actions to reduce the probability of
occurrence of adverse events and the
magnitude associated with such adverse
events.
Avoid the activities that give rise to risk.
18-22
What is financial risk
exposure?
Financial risk exposure refers to
the risk inherent in the financial
markets due to price fluctuations.
Example: A firm holds a portfolio
of bonds, interest rates rise, and
the value of the bond portfolio
falls.
18-23
Financial Risk
Management Concepts
Derivative – a security whose value is
derived from the values of other assets.
Swaps, options, and futures are used to
manage financial risk exposures.
Futures – contracts that call for the
purchase or sale of a financial (or real)
asset at some future date, but at a price
determined today. Futures (and other
derivatives) can be used either as highly
leveraged speculations or to hedge and
thus reduce risk.
18-24
Financial Risk
Management Concepts
Hedging – usually used when a price change
could negatively affect a firm’s profits.
Long hedge – involves the purchase of a futures
contract to guard against a price increase.
Short hedge – involves the sale of a futures
contract to protect against a price decline.
Swaps – the exchange of cash payment
obligations between two parties, usually
because each party prefers the terms of the
other’s debt contract. Swaps can reduce
each party’s financial risk.
18-25
How can commodity futures
markets be used to reduce input
price risk?
The purchase of a commodity
futures contract will allow a firm
to make a future purchase of the
input at today’s price, even if
the market price on the item has
risen substantially in the interim.
18-26