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Finance management cengage 2013 chapter 018

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• 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 1

Derivatives and Risk Management

Motives for Risk Management

Derivative Securities Using Derivatives

Chapter 18

Trang 2

Why 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 3

Reasons 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 4

What 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 5

Option 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 6

Option 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 7

Option 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 8

Option Example

• A call option with an exercise price of $25, has the following values at these prices:

Trang 9

Determining Option Exercise Value and Option

Premium

Stock Price Strike Price Exercise Value Option Price Premium Option

Trang 10

How 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 11

Call Premium Diagram

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What 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 13

Using 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 14

Use 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 15

Solving 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 16

Create a Riskless Hedge to Determine Value of a Call

Option

Ending Stock Price Strike Price

Call Option Value

Trang 17

Create 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 18

Create 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 19

Create 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 20

How do the factors of the B-S OPM affect a call

option’s value?

Trang 21

How do the factors of the B-S OPM affect a put

option’s value?

Trang 22

Forward 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 23

two parties, usually because each party prefers the terms of the other’s debt contract

– Fixed for floating

– Floating for fixed

Trang 24

Hedging 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 25

How 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 26

What 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 27

Definitions of Different Types of Risk

as a loss.

a firm’s products or services.

costs.

Trang 28

Definitions of Different Types of Risk

productive assets.

Trang 29

What are the three steps of corporate risk

management?

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