20-1 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Chapter Twenty Options, Corporate Securities and Futures 20-2 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan 20.1Options: The Basics 20.2Fundamentals of Option Valuation 20.3Valuing a Call Option 20.4BlackScholes Option Pricing Model 20.5Equity as a Call Option on the Firms Assets 20.6Types of Equity Option Contracts 20.7 Futures Contracts 20.8Term Structure of Interest Rates Summary and Conclusions Chapter Organisation 20-3 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Chapter Objectives Understand the key terminology associated with options. Outline the five factors that determine option values. Price call options using the BlackScholes option pricing model. Discuss the types of equity option contracts offered. Outline the types of warrants available to investors. Discuss the characteristics of future contracts. Understand the term structure of interest rates. 20-4 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Option Terminology Call option Right to buy a specified asset at a specified price on or before a specified date. Put option Right to sell a specified asset at a specified price on or before a specified date. European option An option that can only be exercised on a particular date (on expiry). American option An option that can be exercised at any time up to its expiry date. 20-5 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Option Terminology (contd) Striking price or exercise price The contracted price at which the underlying asset can be bought (call) or sold (put). Expiration date The date at which an option expires. Option premium The price paid by the buyer for the right to buy (call) or sell (put) an asset The price received by the seller for the obligation to sell (call) or buy (put) an asset. 20-6 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Option Terminology (contd) Exercising the option The act of buying or selling the underlying asset via the option contract. Option writer The writer of an option is the seller of the option. The writer is obligated to perform according to the terms of the option if and when an exercise is enforced. Option buyer The buyer of an option is the taker or holder of the option. The option buyer obtains the right conveyed by the option and only the option buyer has a right to exercise an option. 20-7 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Australian Options Market Contract Characteristics Expiration month The month in which the option expires. Option type All options are American options so that they can be exercised at any time prior to expiration. Contract size The standard contract size is 1000 shares. When a share on which there exists a traded option undergoes a capital issue (bonus issue, share split, etc.) an adjustment is made to one or more of the: Exercise price The number of options outstanding The number of shares to which each option contract relates. 20-8 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Australian Options Market Contract Characteristics (contd) Expiry The maturity date for an option series is the last Friday of the expiration month, or if not a business day, the next business day. Exercise price A new series is generally opened for trading approximately nine months prior to the expiration month. Exercise prices are set reasonably close to the prevailing market price of the underlying share. Additional exercise prices are added by the Exchange on an ad hoc basis depending upon price movements of the underlying share. 20-9 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan A Sample Newspaper Listing of Call Options 20-10 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Clearing and Margining Premium payable in full by buyer (taker) and credited to account of seller (writer) at time of trade. At the same time, seller must lodge a deposit with the Clearing House to ensure performance in the event of price movement adverse to the position of seller. Deposit levels vary depending on value of underlying shares and extent to which share price changes. The margin is comprised of two components: Premium margin Risk margin. Premium reflects the value of the contract and risk margin reflects amount by which the value could change in a day. 20-11 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Option Valuation S 1 = share price at expiration S 0 = share price today C 1 = value of call option on expiration C 0 = value of call option today E = exercise price on the option 20-12 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Value of Call Option at Expiration Option is out of the money. Option is in the money. 20-13 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Share price at expiration (S 1 ) Call option value at expiration (C 1 ) S 1 E S 1 > E Exercise price (E) 45 Value of Call Option at Expiration 20-14 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Call Option Boundaries Upper bounda call option will never be worth more than the share itself: C 0 S 0 Lower boundshare price cannot fall below 0 and to prevent arbitrage, the call value must be (S 0 E): The larger of 0 or (S 0 E) 20-15 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Call Option Boundaries (contd) Opportunities for riskless profits are called arbitrages. In a well organised market, significant arbitrages are rare. Option price = Intrinsic value + Time value. Intrinsic value: what the option would be worth if it were about to expire = lower bound Time value: the amount investors will pay for the possibility of making a profit. For example, XYZ shares are $5.00, exercise price is $4.75, and option price is $0.59 ($0.25 intrinsic value + $0.34 time value). 20-16 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Share price (S 0 ) Call price (C 0 ) Exercise price (E) 45 Lower bound C 0 S 0 E C 0 0 Upper bound C 0 S 0 Value of a Call Option Before Expiration 20-17 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Factors Determining Option Values The value of a call option depends on four factors: Share price Exercise price Time to expiration Risk-free rate. 20-18 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Another Factor to Consider? The above four factors are relevant if the option is to finish in the money. If the option can finish out of the money, another factor to consider is volatility. The greater the volatility in the underlying share price, the greater the chance the option has of expiring in the money. 20-19 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan The Factors that Determine Option Value 20-20 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan BlackScholes Option Pricing Model 20-21 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan BlackScholes Option Pricing Model (continued) Note: The risk-free rate, the standard deviation and the time to maturity must all be quoted using the same time units. 20-22 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleBlackScholes Option Pricing Model S 0 = $25 E = $20 R f = 8% = 30% t = 0.5 years 20-23 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleBlackScholes Option Pricing Model (continued) 20-24 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleBlackScholes Option Pricing Model (continued) From the cumulative normal distribution table: N(d 1 ) = N(1.34) = N(d 2 ) = N(1.13) = Therefore, the value of the call option is: 20-25 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Equity as a Call Option on the Firms Assets Equity can be viewed as a call option on the companys assets when the firm is leveraged. The exercise price is the value of the debt. If the assets are worth more than the debt when it becomes due, the option will be exercised and the shareholders retain ownership. If the assets are worth less than the debt, the shareholders will let the option expire and the assets will belong to the bondholders. 20-26 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Equity Option Contracts Types of equity option contracts offered in Australia: Exchange traded put and call options on company shares (called share options or stock options) Exchange traded long dated contracts issued by a financial institution to holders who can then trade them (called warrants in Australia) Over-the-counter options on company shares (called company options in Australia, but warrants on international markets) Convertible notes issued by companies, comprising both a debt and an equity component. 20-27 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Warrants Warrants are a financial instrument issued by banks and other financial institutions and are traded on the ASX. They are tradeable securities that give the holder the right to purchase the underlying security at a fixed price for a fixed period of time. Like options, there are both call and put warrants. Basically, warrants are long-term options. 20-28 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Warrants (continued) Types of warrants available: Equity warrants Fractional warrants Basket warrants Fully covered warrants Index warrants Instalment warrants Low exercise price warrants Endowment warrants Currency warrants. 20-29 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Company Options A company option is a security that gives the holder the right to purchase shares in a company at a specified price over a given period of time. Usually offered as a sweetener or equity kicker to a debt issue. These options are often detached and sold separately. 20-30 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Company Options versus Exchange Traded Options Company options have longer maturity periods and are often European-type options. Company options are issued as part of a capital- raising program and are therefore limited in number. The clearing house has no role in the trading of company options. Company options are issued by firms. 20-31 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Earnings Dilution Put and call options have no effect on the value of the firm. Company options do affect the value of the firm. Company options cause the number of shares on issue to increase when: the options are exercised the debts are converted. This increase does not lower the price per share but EPS will fall. 20-32 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Forward Contracts A contract where two parties agree on the price of an asset today to be delivered and paid for at some future date. Legally binding on both parties. Can be tailored to meet the needs of both parties. Positions: Longagrees to buy the asset at the future date Shortagrees to sell the asset at the future date. Can be used to reduce or eliminate uncertainty by setting a buying or selling price in advance. 20-33 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Futures Contracts An agreement between two parties to exchange a specified asset at a specified price at a specified time in the future. A futures contract is a special type of forward contract that is standardised and traded on an organised exchange. Do not need to own an asset to sell a future contract. Either buy before delivery or close out position with an opposite market position. 20-34 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Futures Markets Enable buyers and sellers to avoid risk in commodities (and other) markets with high price variability hedging. Deposit required by all traders to guarantee performance. Adverse price movements must be covered daily by further deposits called margins (marked to market). Futures also available for short-term interest rates, to protect against interest rate movements. 20-35 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Futures Quotes Commodity, exchange, size, quote units The contract size is important when determining the daily gains and losses for marking-to-market. Delivery month Open price, daily high, daily low, settlement price, change from previous settlement price, contract lifetime high and low prices, open interest The change in settlement price multiplied by the contract size determines the gain or loss for the day: Longan increase in the settlement price leads to a gain Shortan increase in the settlement price leads to a loss. 20-36 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleHedging with Wool Futures It is August and Jill Farmer expects to have 5000 kgs of wool to sell in December. Wool futures for December delivery are currently trading at 945 cents per kg. Jill would like to get a price close to that. One standardised contract equals 2500kg To lock in that price, Jill will need to sell two December futures delivery contracts now (August). The value of her open position will be: 5000kg x 945 cents = $47 250 20-37 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleHedging with Wool Futures (continued) It is now December. The price of wool at auction is 910 cents/kg and December wool futures are also selling for 910 cents/kg. What does Jill do? Jill will now need to close out her position by buying two December wool futures: 5000kg x 910 cents = $ This gives her a profit on futures of $1750. Jill will also sell her wool at auction: 5000kg x 910 cents = $ Her net proceeds are $ $ = $47 250, or 945 cents/kg, which is the price she wanted. 20-38 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan ExampleHedging with Wool Futures (continued) What if, in December, the price of wool at auction is 975 cents/kg and December wool futures are also selling for 975 cents/kg. What does Jill do this time? Jill will still need to close out her position by buying December wool futures: 5000kg x 975 cents = $ This time she has a loss on futures of $1500. Jill will also sell her wool at auction for $ kg x 975 cents = $ Net proceeds are $ 1500 = $47 250, or 945 cents/kg, which again is the price she wanted. 20-39 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Term Structure of Interest Rates Yield curve shows the different interest rates available for investments of different maturities, at a point in time. The relationship between interest rates of different maturities is called the term structure. 20-40 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Term Structure of Interest Rates 20-41 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Factors Determining the Term Structure Risk preferencesborrowers prefer long-term credit whereas lenders prefer short-term loans (explains upward-sloping yield curve only). Supply demand conditionssegmented capital markets can cause supply demand imbalances (explains all yield curve shapes). Expectations about future interest rates (most favoured explanation). 20-42 Copyright 2007 McGraw-Hill Australia Pty Ltd PPTs t/a Fundamentals of Corporate Finance 4e, by Ross, Thompson, Christensen, Westerfield & Jordan Summary and Conclusions Options takers have the right, but not the obligation to sell (puts) or buy (calls) ordinary shares at a given price during a specified period. Option writers have an obligation to sell (calls) or buy (puts) ordinary shares at a given price during a specified period. The value of any option depends only on five factors: The price of the underlying asset The exercise price The expiration date The interest rate on risk-free debt The volatility of the underlying assets value. A futures contract can be used to hedge prices.