• Exercise value: the value of an option if it were exercised today Current stock price – Strike price.. Option Terminology Cont’dprice is less than the current price of the underlying
Trang 1Derivatives and Risk Management
Motives for Risk Management
Derivative Securities Using Derivatives
Chapter 18
Trang 2Why might stockholders be indifferent to whether a
firm reduces the volatility of its cash flows?
against various types of risk
leads to higher expected cash flows and/or a reduced WACC.
Trang 3Reasons That Corporations Engage in Risk
Management
• Reduced volatility reduces bankruptcy risk, which
enables the firm to increase its debt capacity.
• By reducing the need for external equity, firms can
maintain their optimal capital budget.
• Reduced volatility helps avoid financial distress costs.
• Managers have a comparative advantage in hedging
certain types of risk.
• Reduced volatility reduces the costs of borrowing.
• Reduced volatility reduces the higher taxes that result
from fluctuating earnings.
Trang 4What is an option?
obligation, to buy (or sell) an asset at some predetermined price within a specified period of time.
– It does not obligate its owner to take action.
– It merely gives the owner the right to buy or sell an asset.
Trang 5Option Terminology
shares of a security within some future period.
shares of a security within some future period.
option contract at which the security can be bought
or sold.
Trang 6Option Terminology (Cont’d)
• Expiration date: the date the option expires.
• 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.
Trang 7Option Terminology (Cont’d)
price is less than the current price of the underlying stock.
price exceeds the current stock price.
similar to normal options, but they are longer-term options with maturities of up to 2½ years.
Trang 8Option Example
• A call option with an exercise price of $25, has the following values at these prices:
Trang 9Determining Option Exercise Value and Option
Premium
Stock Price Strike Price Exercise Value Option Price Premium Option
Trang 10How does the option premium change as the
stock price increases?
value declines as the stock price increases.
provided by options as the underlying stock price increases, and the greater loss potential of options
at higher option prices.
Trang 11Call Premium Diagram
Trang 12What are the assumptions of the Black-Scholes
Option Pricing Model?
dividends during the call option’s life.
sale/purchase of either the stock or the option.
immediately full cash proceeds at today’s price.
stock prices move randomly in continuous time.
Trang 13Using the Black-Scholes Option Pricing Model
)]
[N(d Xe
)]
P[N(d V
t σ d
d
t σ
) t
( 2
r
ln(P/X) d
2
t r
1
-1 2
2 RF
+
=
Trang 14Use the B-S OPM to Find the Option Value of a Call
(0.3317)(0 0.5736
d
5736
0 7071)
(0.3317)(0
) 5 0
( 2
11
0 0.06
)
ln($27/$25 d
=
Trang 15Solving for Option Value
0036
4
$ V
] 6327
0 [ e
25
$ ]
7168
0 [ 27
$ V
)]
d ( N [ Xe
)]
d ( N [ P
V
) 5 0 )(
06 0 ( 2
Trang 16Create a Riskless Hedge to Determine Value of a Call
Option
Ending Stock Price Strike Price
Call Option Value
Trang 17Create a Riskless Hedge to Determine Value of a Call
Option
Step 1: Calculate the value of the portfolio at the end of 6
months (If the option is in-the-money, it will be sold.)
Ending Stock Price × 0.5
Ending Stock Value +
Ending Option Value =
Value
of Portfolio
Trang 18Create a Riskless Hedge to Determine Value of a Call
Option
Step 2: Calculate the PV of the riskless portfolio today.
86 4
$ PV
0296
1
5
$ PV
) r 1 (
value portfolio
Trang 19Create a Riskless Hedge to Determine Value of a Call
Option
Step 3: Calculate the cost of the stock in the portfolio.
$7.50
$15 0.5
price Stock
portfolio in
stock
of
% portfolio
in stock
of Cost
$ 50 7
$
portfolio
of PV stock
of Cost option
of Price
Trang 20How do the factors of the B-S OPM affect a call
option’s value?
Trang 21How do the factors of the B-S OPM affect a put
option’s value?
Trang 22Forward and Futures Contracts
commodity at a specific price on a future date and the counterparty agrees to make the sale There is physical delivery of the commodity.
contracts in which physical delivery of the underlying asset does not actually occur.
– Commodity futures
– Financial futures
Trang 23two parties, usually because each party prefers the terms of the other’s debt contract
– Fixed for floating
– Floating for fixed
Trang 24Hedging Risks
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.
Trang 25How can commodity futures markets be used to
reduce input price risk?
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.
Trang 26What is corporate risk management, and why is
it important to all firms?
management of unpredictable events that would have adverse consequences for the firm.
made, the more valuable the firm, other things held constant Of course, risk reduction has a cost.
Trang 27Definitions of Different Types of Risk
as a loss.
a firm’s products or services.
costs.
Trang 28Definitions of Different Types of Risk
productive assets.
Trang 29What are the three steps of corporate risk
management?