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    Simon [email protected]

    Lecture 6: Derivatives &Behavioural Finance

    Financial Markets

    Institutions & InstrumentsFR1001

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    Introduction1. Derivatives

    Forwards and Futures Spot Markets

    Forward Markets

    Futures Markets

    Options Call options

    Put options

    Swaps

    Interest Rate Swaps Currency Swaps

    2. Behavioural Finance

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    Overview

    Derivatives are instruments whose value islinked to and derived from something else.

    The something else could be a security or an

    index. Examples:

    Commodities

    Interest rates

    Equities and equity indices

    Bonds

    Currencies

    Weather

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    Derivatives can be used for both hedging(reducing existing exposures) and speculation(deliberately taking new exposures).

    Derivative markets can also be thought of asreallocating risk from those who do not wish to

    bear it to those who do.

    Many derivatives involve significant amounts ofleverage. This can make them a very effective

    financial tool. It also helps explain whyderivatives have been involved in many of thelargest financial disasters!

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    Banks and hedge funds are major players in

    derivative markets.

    Derivatives are traded on both open outcry andelectronic exchanges, but electronic trading is

    gaining. Some of the largest exchanges are CBOT/CME

    and LIFFE. Exchanges compete for tradingvolume.

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    Major Types of Derivative

    Forward and Futures contracts

    Options contracts

    Call option Put option

    Swaps

    Currency swap Interest rate swap

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    Spot, Forward & Futures Contracts

    Spot Contract: an agreement between two partiesfor immediate delivery of an asset (by the seller) andimmediate payment of funds in return (by the buyer).

    Forward Contract: an agreement between twoparties at time t=0 to exchange a non-standardisedasset for cash at some future date. The details of theasset, price to be paid, and date are all set at t=0.

    Futures Contract: like a forward, but agreement attime t=0 is to exchange a standardised asset forcash at some standardised future date.Transactions occur in a centralised market.

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    Forward Contracts

    After entering a future or forward contract, theprice for delivery of the asset at maturity is fixed,regardless of what happens to spot prices in themeantime.

    For example, a Forward Rate Agreement (FRA)is a forward contract for loans that today fixes theinterest rate on a loan that will be made in the

    future. Other forwards are agreements to deliverparticular commodities in the future, at a pricespecified now.

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    Profit from aLong Forward Position

    Profit

    Price of Underlying

    at Maturity, STK

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    Profit from aShort Forward Position

    Profit

    Price of Underlying

    at Maturity, STK

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    Example 1

    A cocoa grower wants to remove uncertaintyabout the price he will receive when the crop isharvested. How should he hedge?

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    Example 2

    A producer of electronic goods needs to buy a100 tonnes of copper in six months time. Howshould she hedge?

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    Example 3

    A UK investor holds $100m of US equities.She is bullish on the performance of theequities, but fears that a fall in the dollar mightstill lead to losses. How should she hedge?

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    Trading in Forwards

    Hedging

    Speculation

    Arbitrage

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    Futures Contracts

    Just like a forward, a buyer of a futures contract (long

    position) incurs the obligation to pay the price agreedat the time the contract is purchased.

    Similarly, a seller of a futures contract(short position)incurs the obligation to deliver the underlying

    commodity at contract maturity.

    The exchange guarantees payment for both parties sothat counterparty default risk is not a concern.Principles will not normally know the opposing party in

    the contract unless delivery is arranged.

    To protect themselves, exchanges impose marginrequirements, position limits and daily marking tomarket.

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    Buyers and sellers of futures contracts must post aninitial margin, usually set at about 1%-5% of theface value of the contract.

    Losses will be deducted from investors marginaccounts. If futures prices move against them,they will be asked to top up their margin back to

    their original level (a margin call). The margin system is designed to ensure that

    investors cannot walk away from a deal if pricesmove against them!

    By contrast, on a forward contract, no cash is paid orreceived until contract maturity.

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    .

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    Forward vs Futures Contracts

    Private contract between 2 parties Exchange traded

    Non-standard contract Standard contract

    Usually 1 specified delivery date Range of delivery dates

    Settled at end of contract Settled daily

    FORWARDS FUTURES

    Some credit risk Virtually no credit risk

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    Options

    An option is a derivative instrument that providesthe holder (long position) with the right, but notthe obligation, to complete a transaction on the

    underlying asset at a specific price (strike price)during or at a specific period of time (expirationdate).

    If the holder of the option chooses to exercisehis right, the writer (short position) is obliged toact on it.

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    Call Option: gives the holder the right (but not

    the obligation) to purchase the underlyingsecurity at the agreed strike price. For this rightshe pays the writer an up-front fee known asthe call premium.

    Put Option: gives the holder the right (but notthe obligation) to sell the underlying security atthe agreed strike price. For this right she pays

    the writer an up-front fee known as the putpremium.

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    Option Positions

    Long call

    Long put

    Short call Short put

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    Long Call on eBay

    Profit from buying one eBay European call option: optionprice = $5, strike price = $100, option life = 2 months

    30

    20

    10

    0-5

    70 80 90 100

    110 120 130

    Profit ($)

    Terminalstock price ($)

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    Short Call on eBay

    Profit from writing one eBay European call option: optionprice = $5, strike price = $100

    -30

    -20

    -10

    05

    70 80 90 100

    110 120 130

    Profit ($)

    Terminalstock price ($)

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    Long Put on IBM

    Profit from buying an IBM European put option: optionprice = $7, strike price = $70

    30

    20

    10

    0

    -770605040 80 90 100

    Profit ($)

    Terminal

    stock price ($)

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    Short Put on IBM

    Profit from writing an IBM European put option: optionprice = $7, strike price = $70

    -30

    -20

    -10

    7

    070

    605040

    80 90 100

    Profit ($)

    Terminalstock price ($)

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    Examples

    An airline has calculated that it will beprofitable as long as crude oil prices staybelow $120/barrel, but that it will lose $10m forevery dollar that prices rise above that. How

    should it hedge?

    I am generally bullish on XYZ company, but Ialso feel that the market is underestimating therisk of a sharp fall. What position should Itake?

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    Call Option Value Prior to Expiration

    Value intrinsic value

    (option (stock price - exercise price)

    premium) Before exercise

    price$12.50 Time Value

    $10.00 ($2.50)

    X = $50 S = $60 Stock Price

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    Option Valuation

    The Black-Scholes option pricing model isused to calculate the value of standard(vanilla) options based on certain

    assumptions: in particular about future

    volatility of the underlying asset. Increasedvolatility makes options more valuable.

    Exotic options may need more complex

    valuation models.

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    Swaps A swap is as an agreement between two parties

    to exchange assets and/or a series of cash flowsin the future

    Swaps can be thought of as a series of individualforward agreements stretching into the future.

    They are typically used for hedging rather thanspeculation. They are generally used to hedgeinterest rate (fixed vs. floating) and foreignexchange exposures.

    Swaps are OTC derivatives, and are highlycustomised to users needs. Many different typesexist.

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    Firm 1 Firm 2

    USD

    Assets

    GBP

    Liabilities

    GBP

    Assets

    USD

    Liabilities

    GBP

    USD

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    What Do Derivatives Achieve?

    Derivatives allow firms to hedge their risks cheaply

    and efficiently. They are also a very effective toolfor speculation.

    The sector is very innovative, with new derivatives

    being created in response to client need. But they can be controversial. The high gearing and

    complexity of some derivatives, sometimes coupledwith outright fraud, has led to some massive losses.

    Nick Leeson was just one example.

    They are a very powerful tool if used correctly, butdangerous if used badly!

    OTC D i ti O t t di

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    OTC Derivatives Outstanding(notional amount, $bn)

    Dec-04 Dec-07

    FX 29,289 56,238Forwards & swaps 23,174 43,490

    Options 6,115 12,748

    Interest rates 190,502 393,138

    FRAs 12,789 26,599

    Swaps 150,631 309,588Options 27,082 56,951

    Equity-linked 4,385 8,509

    Forwards and swaps 756 2,233

    Options 3,629 6,276

    Commodity 1,443 9,000

    CDS 6,396 57,894

    Unallocated 25,879 71,225

    Total 257,894 596,004

    Source: BIS

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    Summary

    Futures/forwards: agreements which obligetwo parties to buy/sell at a specified futuredate at a price agreed now.

    Options: give the holder the right to buy (call)or sell (put), but no obligation

    Swaps: a longer-term set of cashflow

    exchanges, typically to alter interest rate orFX risk.

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    BEHAVIOURAL FINANCE

    Why arent we as smart as we think we are?

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    So far we have considered how rational

    investors should behave. But it is not alwaysclear that investors do behave rationally. Inparticular it seems strange that we see so manyboom/bust cycles in asset prices.

    Behavioural finance is where finance andpsychology overlap. It seeks to identify areas inwhich people dont behave in the rational profit-

    maximising way that theory would suggest. Alarge number of effects has been identified,some of which overlap.

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    The endowment effect: we appear to put greatervalue on things that we already own compared to

    equally valuable items that we dont. In particular,we tend to fall in love with assets already in our

    portfolios.

    Confirmation bias: we tend to give more weight to

    evidence that supports our existing beliefs.

    Over-confidence: we underestimate uncertaintyand overestimate our own abilities.

    Attribution bias: we tend to interpret evidence inself-serving ways, eg. profitable investments weredue to our skill, but losses were due to bad luck.

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    Our objective may not be to maximise profit,but to minimise regret. We find it very hard to

    sell an asset at a loss, since this requires us toadmit we were wrong!

    More generally, prospect theory suggests that

    how we respond to choices is very sensitive tothe way in which they are presented to us (howthey are framed).

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    Herd behaviour: we have a strong instinct to

    conform, and have a tendency to believesomething when everyone else believes it too(social proof, group-think). For example,everyone knows that internet stocks really are

    worth P/E ratios over 100! Anchoring: the price of an asset begins to feel

    justified just because it has become familiar.

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    Behavioural finance is a relatively new andgrowing field. It has two key uses:

    It may help us understand market

    behaviour

    It is a useful test of our own behaviour:are we sure that we arent falling into

    any of these traps ourselves?

    Conclusion

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    Reading

    Derivatives

    Madura Ch 14 (first half)

    Bain/Howells 9.3 - 9.6

    Behavioural Finance:

    Nofsinger The Psychology of Investing