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Stephen G. CECCHETTI • Kermit L. SCHOENHOLTZ
Chapter Nine
Derivatives: Futures,
Options, and Swaps
McGraw-Hill/Irwin
Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved.
Introduction
• The largely unseen links that OTC derivatives
created among global financial institutions
made the entire system vulnerable to the
weakest of those institutions.
• As a result of the systemic vulnerabilities posed by
OTC derivatives lead to phrases of “too big to fail.”
• Even before the 2007-2009 financial crisis,
stories dealing with the abuse of derivatives
abounded.
• Enron
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Introduction
• Although open to abuse, derivatives can be
extremely helpful financial instruments.
• They can reduce risk, allowing firms and
individual to enter into agreements that they
could not have otherwise.
• Derivatives can also be used an insurance
against future events.
• This chapter will provide an introduction to the
use and abuse of derivatives.
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The Basics: Defining Derivatives
• A derivative is a financial instrument whose
value depends on, is derived from, the value of
some other financial instrument, call the
underlying asset.
• Examples of assets include stocks, bonds, wheat,
snowfall, and stock market indexes like S&P 500.
• For example:
• A contractual agreement between two investors that
obligates one to make a payment to the other,
depending on the movement of interest rates over
the next year.
• An interest-rate futures contract
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The Basics: Defining Derivatives
•
Derivatives are different from outright
purchases because:
1.
Derivatives provide an easy way for investors to
profit from price declines.
2. In a derivatives transaction, one person’s loss is
always another person’s gain.
• Buyer and seller are like two people playing
poker.
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The Basics: Defining Derivatives
• While derivatives can be used to speculate, or
gamble on future price movements, they allow
investors to manage and reduce risk.
• Farmers use derivatives regularly to insure
themselves against fluctuations in the price of their
crops.
• The purpose of derivatives is to transfer risk
from one person or firm to another.
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The Basics: Defining Derivatives
• By shifting risk to those willing and able to
bear it, derivatives increase the risk-carrying
capacity of the economy as a whole.
• This improves the allocation of resources and
increase the level of output.
• The downside is that derivatives also allow
individuals and firms to conceal the true nature
of certain financial transactions.
• If stock-market analysts penalize companies for
obtaining funding in certain ways, derivatives allow
the companies to get exactly the same resources at
the same risk but under a different name.
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Forward and Futures
• A forward, or forward contract, is an agreement
between a buyer and a seller to exchange a
commodity or financial instrument for a
specified amount of cash on a prearranged
future date.
• Because they are customized, forward contracts
are very difficult to resell.
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Forward and Futures
• A future, or futures contract, is a forward
contract that has been standardized and sold
through an organized exchange.
• The contract specifies that the seller (short position)
will deliver some quantity of a commodity or
financial instrument to the buyer (long position) on
a specific date, called the settlement or delivery
date, for a predetermined price.
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Forward and Futures
• No payments are made when the contract is
agreed to.
• The seller/short position benefits from declines
in the price of the underlying asset.
• The buyer/long position benefits from
increases in the price of the underlying asset.
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Forward and Futures
• For example: a U.S. Treasury bond future
contract trades on the Chicago Board of Trade.
• The contract specifies the delivery of $100,000 face
value worth of 10-year, 6% coupon U.S. Treasury
bonds at any time during a given month, called the
delivery month.
• Table 9.1 show the prices and trading activity
for this contract on January 21, 2010.
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Forward and Futures
• The two parties to a futures contract each make
an agreement with a clearing corporation.
• The clearing corporation operates like a large
insurance company and is the counter party to
both sides of the transaction.
• They guarantee that the parties will meet their
obligations.
• This lowers the risk buyers and sellers face.
• The clearing corporation has the ability to
monitor traders and the incentive to limit their
risk taking.
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Margin Accounts and Marking to
Market
• The clearing corporation requires both parties
to a futures contract to place a deposit with the
corporation.
• This is called posting margin in a margin account.
• This guarantees when the contract comes due, the
parties will be able to meet their obligations.
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Margin Accounts and Marking to
Market
• The clearing corporation also posts daily gains
and losses on the contract to the margin
account of the parties involved.
• This is called marking to market.
• This is similar to what happens in a poker game at
the end of each hand - money is transferred from
the winner to the loser.
• Doing this each day ensures that sellers always
have the resources to make delivery and buyers
can always pay.
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Margin Accounts and Marking to
Market
• If someone’s margin account falls below the
minimum, the clearing corporation will sell the
contracts, ending the person’s participation in
the market.
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Hedging and Speculating with Futures
• Futures contracts allow the transfer of risk
between buyer and seller through hedging or
speculation.
• In the example of the sale of a U.S. Treasury bond
future contract, the seller/short position benefits
from the price declines.
• The seller of the futures contract can guarantee
the price at which the bonds are sold.
• The purchaser wishes to insure against possible
price increases.
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Hedging and Speculating with Futures
• Buying a futures contract fixes the price that
the fund will need to pay.
• In this example, both sides use the futures contract
as a hedge - they are both hedgers.
• Producers and users of commodities employ
futures markets to hedge their risks as well:
farmers, mining companies, oil drillers, etc.
• They own the commodity outright, so they want to
stabilize revenue streams.
• Those buying want to reduce risk of fluctuations in
input costs.
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Hedging and Speculating with Futures
• Speculators are trying to make a profit.
• They bet on price movements.
• Sellers of futures are betting that prices will fall.
• Buyers of futures are betting that prices will rise.
• Futures contracts are popular tools for
speculation because they are cheap.
• An investor needs only a small amount to
invest - the margin - to purchase the future
contract.
• Margin requirements of 10% or less are common.
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Hedging and Speculating with Futures
• For our example of U.S. Treasury bonds
futures contracts, The Chicago Board of Trade
requires an initial margin of only $2,700 per
contract.
• This investment gives the investor the same returns
as the purchase of $100,000 worth of bonds.
• It is as if the investor borrowed the remaining
$97,300 without having to pay any interest.
• Speculators can use futures to obtain very
large amounts of leverage at a very low cost.
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• How can we make markets more robust?
• We can shift trading from over-the-counter
(OTC) markets to transactions with a
centralized counterparty (CCP).
• When trading OTC with many partners, a firm
can build up excessively large positions
without other parties being aware of the risk.
• A CCP has the ability, as well as the incentive,
to monitor the riskiness of its counterparties.
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• Standardization of contracts also facilitates
CCP monitoring.
• A CCP can refuse to trade with a risky client or
insist on a risk premium.
• A CCP also limits its own risk through
economies of scale.
• Most trades are offset against one another.
• Finally, CCPs have helped markets function
well even when traders cannot pay.
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Arbitrage and the Determinants of
Futures Prices
• On the settlement or delivery date, the price of
the futures contract must equal the price of the
underlying asset the seller is obligated to
deliver.
• If not, then it would be possible to make a risk-free
profit by engaging in offsetting cash and futures
transactions.
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Arbitrage and the Determinants of
Futures Prices
• The practice of simultaneously buying and
selling financial instruments in order to benefit
from temporary price differences is called
arbitrage the people who engage in it are called
arbitrageurs.
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Arbitrage and the Determinants of
Futures Prices
• If the price of a specific bond is higher in one
market than in another:
• The arbitrageur can buy at the low price and sell at
the high price.
• This increases demand in one market and supply in
another.
• The increase in demand raises price in that market.
• The increase in supply lowers price in the other
market.
• This continues until the prices are equal in both
markets.
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Arbitrage and the Determinants of
Futures Prices
• As long as there are arbitrageurs, on the day
when a futures contract is settled, the price of a
bond futures contract will be the same as the
market price - or spot price - of the bond.
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Arbitrage and the Determinants of
Futures Prices
• How is this done?
• The arbitrageur borrows at the current market
interest rate.
• These funds are used to buy a bond and sell a bond
futures contract.
• The interest owed on the loan and received from the
bond cancel out.
• The futures price must move in lockstep with the
market price of the bond.
F(t)= S(t)* (1+r)^(T-t), where future/forward, F(t),
will be found by compounding the present value
S(t) at time t to maturity T by the rate of risk-free
return r.
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Arbitrage and the Determinants of
Futures Prices
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Major Exchange for Future Contracts
• CME Group (formerly CBOT and CME) -- Currencies,
Various Interest Rate derivatives (including US Bonds);
Agricultural (Corn, Soybeans, Soy Products, Wheat,
Pork, Cattle, Butter, Milk); Index (Dow Jones
Industrial Average); Metals (Gold, Silver), Index
(NASDAQ, S&P, etc.)
• IntercontinentalExchange (ICE Futures Europe) formerly the International Petroleum Exchange trades
energy including crude oil, heating oil, natural gas and
unleaded gas
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Major Exchange for Future Contracts
• NYSE Euronext - which absorbed Euronext into which
London International Financial Futures and Options
Exchange or LIFFE (pronounced 'LIFE') was merged.
(LIFFE had taken over London Commodities Exchange
("LCE") in 1996)- softs: grains and meats. Inactive
market in Baltic Exchange shipping. Index futures
include EURIBOR, FTSE 100, CAC 40, AEX index.
• Tokyo Stock Exchange TSE (JGB Futures, TOPIX
Futures)
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Calls, Puts, and All That: Definitions
• Options are agreements between two parties.
• The seller is an option writer.
• A buyer is an option holder.
• A call option is the right to buy, “call away”, a
given quantity of an underlying asset at a
predetermined price, called the strike price (or
exercise price), on or before a specific date.
• A Jan. 2011 call option on 100 shares of IBM stock
at a strike price of 90 given the option holder the
right to buy 100 shares of IBM for $90 each day
prior to the 3rd Friday of Jan. 2011.
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Calls, Puts, and All That: Definitions
• The writer of the call option must sell the share
if and when the holder choose to use the call
option.
• The holder of the call is not required to buy the
shares - they have the option if it is beneficial.
• When the price rises to about $90, the option
holder can either call away the 100 shares by
exercising the option or sell the option.
9-32
Calls, Puts, and All That: Definitions
• When the price of the stock is above the strike
price of the call option, exercising the option is
profitable and the option is said to be in the
money.
• If the price of the stock exactly equals the
strike price, the option is said to be at the
money.
• If the strike price exceeds the market price of
the stock, it is termed out of the money.
9-33
Calls, Puts, and All That: Definitions
• A put option give the holder the right but not
the obligation to sell the underlying asset at a
predetermined price on or before a fixed date
• The writer of the option is obliged to buy the
shares should the holder choose to exercise the
option.
• A put option on IBM stock with a strike price of
$90 is the right to sell 100 shares at $90 per share.
• This is valuable if the price falls below $90.
9-34
Calls, Puts, and All That: Definitions
• The same terminology that is used to describe
calls, is also used to describe puts:
• In the money - profitable
• At the money - same price
• Out of the money - not profitable
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Calls, Puts, and All That: Definitions
• Although option scan be customized, most are
standardized and traded on exchanges.
• A clearing corporation guarantees the
obligations embodied in the option -- those of
the option writer.
• The options writer is required to post margin.
• The option holder incurs no obligation, so no
margin is needed.
9-36
Calls, Puts, and All That: Definitions
• There are two types of call and puts:
• American options can be exercised on any date
from the time they are written to the
expirations date.
• European options can be exercised only on the
day they expire.
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Using Options
• Options transfer risk from the buyer to the
seller, so can be used for both hedging and
speculation.
• For someone who wants to purchase an asset in
the future, a call option ensure that the cost of
buying the asset will not rise.
• For someone who plans to sell the asset in the
future, a put option ensures that the price at
which the asset can be sold will not go down.
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Using Options
• Options can be used for speculation as well.
• Say you think interest rates are going to fall.
• You can:
• Buy a bond but that’s expensive as you need
money.
• Buy a futures contract taking the long position - low
investment but high risk.
• Buy a call option that pays off only if the interest
rate falls - if you are wrong, only cost is the price of
the option.
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Using Options
•
The option writer can take a large loss, so
who does this?
1.
2.
Speculators willing to take the risk and bet that
prices will not move against them.
Dealers called market makers who engage in the
regular purchase and sale of the underlying asset.
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Using Options
• Market makers both
• Own the underlying asset so they can deliver it, and
• Are willing to buy the underlying asset so they have
it read to sell to someone else.
• If you own the underlying asset, writing a call
option that obligates you to sell it at a fixed
price is not that risky.
• Market makers write options to get the fees
from the buyer.
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Using Options
• Options are very versatile and can be bought
and sold in many combinations.
• They allow investors to get rid of risks they do
not want and keep the ones they do.
• Finally, options allow investors to bet that
prices will be volatile.
• Table 9.3 summarizes options.
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9-43
• Corporations work hard to appear profitable.
• Financial statements can be misleading.
• Never trust a statement unless it meets
regulatory standards.
• The more open a company is in its financial
accounting, the more likely that it is honest.
• Diversification reduces risk.
9-44
Pricing Options: Intrinsic Value and
the Time Value of the Option
•
An option has two parts:
1. Intrinsic value - the value of the option if it is
exercised immediately, and
2. Time value of the option - the fee paid for the
option's potential benefits.
Option price = Intrinsic value + time value of the option
Call Option Intrinsic Value = Underlying Stock's
Current Price – Call Strike Price
Put Option Intrinsic Value = Put Strike Price –
Underlying Stock's Current Price
Time Value = Option Price – Intrinsic Value
9-45
Pricing Options: Intrinsic Value and
the Time Value of the Option
• We can calculate the time value of the option
by calculating the expected present value of the
payoff.
• For a call option, we take the probability of a
favorable outcome (a higher price), times the
payoff.
• Increasing the standard deviation of the stock price,
an increase in volatility, increases the option’s time
value.
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General Considerations
• Calculating the price of an option and how it
might change means developing some rules for
figuring out its intrinsic value and time value.
• Remember the value of any financial
instrument depends on:
•
•
•
•
The size of the promised payment,
The timing of the payment,
The likelihood that the payment will be made, and
The circumstances under which the payment will be
made.
9-47
General Considerations
• The most important thing to remember is that a
buyer is not bound to exercise the option.
• Because the options can either be exercised or
expire worthless, we can conclude that the
intrinsic value depends only on what the holder
receives if the option is exercised.
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General Considerations
• For an in-the-money call, or the option to buy,
the intrinsic value to the holder is the market
price of the underlying asset minus the strike
price.
• If the call is at the money or out of the money,
it has no intrinsic value.
• Similarly, the intrinsic value of a put, or the
option to sell, equals the strike price minus the
market price of the underlying asset, or zero which ever is greater.
9-49
General Considerations
• Prior to expiration, there is always the chance
that the price of the underlying asset will move
making the option valuable.
• This potential benefit is represented by the option’s
time value.
• The longer the time to expiration, the bigger
the likely payoff when the option does expire
and, thus, the more valuable it is.
9-50
General Considerations
• The likelihood that an option will pay off
depends on the volatility, or standard
deviation, of the price of the underlying asset.
• The more variability there is in the asset’s price, the
more chance it has to move into the money.
• Therefore the option’s time value increases with
volatility in the price of the underlying asset.
• Increased volatility has no cost to the option holder
- only benefits.
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General Considerations
• The bigger the risk being insured, the more
valuable the insurance, and the higher the price
investors will pay.
• The circumstances under which the payment is
made have an important impact on the option’s
time value.
• Table 9.4 summarizes the factors affecting the
value of options.
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General Considerations
9-53
• The price of a company’s stock could
skyrocket or the company could go bankrupt.
• Generally employees are not allowed to sell
their stock options for a set period of time and
may need to stay with the firm to exercise
them.
• If taking stock options means a lower salary,
then you are paying for them and should think
hard about that offer.
• Investing in the same company that pays your
salary is risky.
9-54
The Value of Options: Some
Examples
• Table 9.5 shows the prices of IBM puts and
calls on January 22, 2010, reported on the Wall
Street Journal’s website.
• Panel A shows the prices of options with
different strike prices but the same expiration
date, April 2010.
• Panel B shows the prices of options with
different expiration dates but with the same
strike price.
9-55
The Value of Options: Some
Examples
• What can we discover?
• At a given price of the underlying asset and time to
expiration, the higher the strike price of a call
option, the lower its intrinsic value and the less
expensive the option.
• At a given price of the underlying asset and time to
expiration, the higher the strike price of a put
option, the higher the intrinsic value and the more
expensive the option.
9-56
The Value of Options: Some
Examples
• What can we discover (cont.)?
• The closer the strike price is to the current price of
the underlying asset, the larger the option's time
value.
• Deep in-the-money options have lower time value.
• The longer the time to expiration at a given strike
price, the higher the option price.
9-57
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HWs
• 1, 4 and 12
9-59