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Options Presentation for Corporate Finance at McGill (by The Jones')

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• London International Financial Futures and Options Exchange Chicago Board Options Exchange Boston Options Exchange NYSE Amex Options Montreal Exchange:
• Capping the down side and hedge your losses
• This simple formula is used specifically when the option is certain to finish in the money. When determining option values using this method, there are 4 main factors that need to be identified. The first factor is stock price ( S 0 ). If this increases then so does the value of the call. Next, if the exercise price (E) increases, then the value of the call goes down. If the time to expiration of the call (t) increases then the option will be worth more. Similarly, if the risk-free rate ( R f ) increases then the option value will also rise.
• . In this case, the greater the variance of the return on the underlying asset, the greater the value of the option. present value of the lower stock price (S 1- ) is invested in a risk free asset and then a ratio is calculated to determine the number of call options necessary for the sum to equate to the current stock price
• When using the One-period binomial model , we need to know the beginning asset value, the size of the 2 possible changes and the probabilities of each of these changes occurring. In knowing these values, we can calculate the expected value of the option in 1 period by adding the probability-weighted average of the payoffs in each state. This value would then need to be discounted at the risk free rate to determine the option’s value today.
• Mirror of Bullish Strategies
• Mirror of Bullish Strategies
• High Risk: no protection if stock moves down
• Difference in the costs of calls and puts will likely mean that the trader will not have the equal number of calls and puts, but the dollar amount must be virtually identical for the straddle to work as intended. A trader chooses an options straddle when he or she does not have a clear sense of which direction a given stock will move, but has a strong opinion that the stock’s volatility or movement will increase before the options expire.
• The owner of a long strangle makes a profit if the underlying price moves far enough away from the current price, either above or below. Thus, an investor may take a long strangle position if he thinks the underlying security is higly volatile, buy does not know which direction it will move. This position is a limited risk, since the most a purchaser may lose is the cost of both options. At the same time, there is unlimited profit potential.
• Mirror of Bullish Strategies
• Mirror of Bullish Strategies
• ### Options

1. 1. Introduction to Corporate Finance Options Prepared by Ying Pan Tong Niu Charlie Giurleo I.Murat Coskun
2. 2. <ul><li>Introduction </li></ul><ul><li>Basic concept </li></ul><ul><li>- History </li></ul><ul><li>- Current markets & Regulator </li></ul><ul><li>- Characteristics & Terminology </li></ul><ul><li>Types of Options </li></ul><ul><li>- Call options </li></ul><ul><li>- Put options </li></ul><ul><li>Valuation </li></ul><ul><li>- Payoff method </li></ul><ul><li>- Binomial tree method </li></ul><ul><li>Strategies </li></ul><ul><li>- Bullish strategy </li></ul><ul><li>- Bearish strategy </li></ul><ul><li>- Neutral strategy </li></ul><ul><li>Q&A & REWARDS! </li></ul>Options
3. 3. Options House selling at \$1M Option Contract @ \$10,000 Seller (Writer) Buyer (Holder)
4. 4. Options House now selling at \$2M (  ) Seller (Writer) Buyer (Holder) Scenario #1 Option Contract @ \$10,000 \$2,000,000 \$1,000,000 - \$10,000 \$990,000 (Profit)
5. 5. Options House now selling at \$100K (  ) Seller (Writer) Buyer (Holder) Scenario #2 Option Contract @ \$10,000 - \$10,000 (\$10,000) (Loss)
6. 6. <ul><li>- Ancient Greek philosopher and mathematician – Thales of Miletus </li></ul><ul><li>- Purchased the Right to rent numerous olive presses before a predicted increase in olive harvest </li></ul><ul><li>- Fortunately, his prediction was right </li></ul><ul><li>- Exercised his Right to rent out all presses! </li></ul>History Options
7. 7. <ul><li>Major markets over the world: </li></ul>Current Markets & Regulator <ul><li>In Canada, options are traded on the Montreal Exchange and are cleared through the Canadian Derivatives Clearing Corp(CDCC) </li></ul><ul><li>The CDCC stands between option buyers and option sellers (writers). </li></ul>Options
8. 8. <ul><li>Two parties: Seller (also called writer) </li></ul><ul><li>Buyer (also called holder) </li></ul><ul><li>- The seller sells an “Option” contract to the buyer, accepts a premium and assumes the obligation that is specified in the contract </li></ul><ul><li>- The buyer pays premium to the seller and gets the “option” or choice or right to buy the underlying asset from the seller during a particular period of time </li></ul>Option is a contract Options CALL PUT BUYER (Long) Right to Buy Right to Sell SELLER (Short) Obligation to Sell Obligation to Buy
9. 9. <ul><li>Call Option (or Calls) : the right but not the obligation to buy an underlying asset during a particular period of time </li></ul><ul><li>Put Option (or Puts): the right but not the obligation to SELL an underlying asset during a particular period of time </li></ul><ul><li>A put option is the opposite of a call option </li></ul>Terminology Options
10. 10. <ul><li>Exercise the option: invoke the rights contracted </li></ul><ul><li>Exercising price (or striking price): the price at which the buyer can purchase or sell the underlying instrument </li></ul><ul><li>Expiration date: the date at which the rights to exercise the option cease to exist </li></ul><ul><li>Option premium: the price of an option </li></ul><ul><li>In-the-money, out-of-the-money: making a profit vs. not </li></ul>Terminology Options
11. 11. <ul><li>Trading Platform: </li></ul><ul><li>- Listed: openly traded in exchange market </li></ul><ul><li>- Over-the-counter: between two private parties </li></ul><ul><li>Exercise Types: </li></ul><ul><li>- American: the right could be exercised any date before the expiration date </li></ul><ul><li>- European: the right could be exercised only on the day of expiration date </li></ul><ul><li>Underlying assets : </li></ul><ul><li>- Usual assets, common shares, commodities, rare metals, interest rates, exchange rates, etc. </li></ul>Characteristics Options
12. 12. <ul><li>The buyer speculates the stock price will go up, then buy a call option by paying the option price (premium). If the stock price goes up during the expiration period, the buyer exercises the option and earns the profit. As illustrate in the table, the stock price goes up from \$80 to \$100, the call option buyer earns \$11(\$20 minus \$9 of option price ). </li></ul>Buying a call from the Buyer’s perspective Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 80 100 July C 9 20 11
13. 13. Payoff from the buying a call Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 80 100 July C 9 20 11
14. 14. <ul><li>The seller will get the premium whenever he/she sells a call option. If the stock price does not go up by the expiration, the call buyer will not exercise the option and the seller can get the premium as a net profit. </li></ul><ul><li>If the stock price goes up and the buyer exercises the option, then the seller have to assume the obligation to sell the stock with the exercise price and bear a loss which equal is to the buyer’s net profit. In the example above, \$11 is seller’s net loss and buyer’s net profit </li></ul>Selling a call from the Seller’s perspective Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 80 100 July C 9 20 11
15. 15. Payoff from writing a call. Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 80 100 July C 9 20 11
16. 16. <ul><li>The buyer speculates the stock price will go down, then buy a put option by paying the option price (premium). If the stock price goes down by the expiration, the buyer exercises the option and earns the profit. As illustrate in the table, the stock price goes down from \$85 to \$75, the call option buyer earns \$10 minus \$5 of option price and get \$5 net profit. </li></ul>Buying a put from the buyer’s perspective Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 85 75 Aug P 5 10 5
17. 17. Payoff from buying a put . Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 85 75 Aug P 5 10 5
18. 18. <ul><li>The seller will get the premium whenever he/she sells a put option. If the stock price does not go down by the expiration, the put buyer will not exercise the option and the seller can get the premium as a net profit. </li></ul><ul><li>If the stock price goes down and the buyer exercises the option, then the seller have to assume the obligation to sell the stock with the exercise price and bear a loss which equal to the buyer’s net profit. In the example above, \$5 is seller’s net loss and buyer’s net profit </li></ul>Selling a put from the seller’s perspective Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 85 75 Aug P 5 10 5
19. 19. Payoff from writing a put. Options Striking Price Stock Price Expiration Date P /C Option Price Option Value Net Profit 85 75 Aug P 5 10 5
20. 20. <ul><li>Call option value= Stock value - PV of the exercise price </li></ul><ul><li>5 key variables: </li></ul><ul><li>1) Current stock price ( S 0 ) </li></ul><ul><li>2) Exercise price of the option (E) </li></ul><ul><li>3) Time of expiration (t) </li></ul><ul><li>4) Risk free rate ( R f ) </li></ul><ul><li>5) Variance of return on stock </li></ul>Options C 0 =S 0 -E/(1+R f ) t
21. 21. <ul><li>You would like to purchase a 1 year call option for RBC stock- the exercise price = \$45 per share and the stock price is currently at \$70 and the risk free rate =2% and you speculate that the stock will be between \$60 and \$80 in 1 year. </li></ul><ul><li>What is the cost of the option? </li></ul>Options
22. 22. <ul><li>. </li></ul>Options t=0 t=1 E= \$45 S 0 =70 E=45 R f =2% Both speculated stock prices & t=1 are in the money, therefore: discount E 1 yr C 0 =S 0 -E/(1+R f ) t = 70- (45/1.02) 1 = 25.88 Therefore call option = \$25.88 S 0 =70
23. 23. <ul><li>You would like to purchase a 1 year call option for RBC stock- the exercise price = \$45 per share and the stock price is currently at \$70 </li></ul><ul><li>The risk free rate =2% and you speculate that the stock will be between \$40 and \$80 in 1 year. </li></ul><ul><li>What is the cost of the option? </li></ul>Options
24. 24. <ul><li>Call option calculation </li></ul><ul><li>S 0 =70, E=45, R f =2% & t=1 therefore: </li></ul><ul><li>The option can finish out of the \$ and be worth 0 at expiration or in the \$ and be worth \$35 </li></ul><ul><li>When the stock finishes at \$80, our risk-free asset pays \$40, leaving us \$40 short. Each option is worth \$35 in this case, so we need \$40/\$35 = 1.14options to match the payoff on the stock. </li></ul>Options
25. 25. <ul><li>We must now invest \$40 in a risk free asset and in 1.14call options </li></ul>Options
26. 26. Options For this case assume a 50% probability for both outcomes Call option calculation S 0 =70, E=45, R f =2% & t=1 therefore:
27. 27. Options Therefore value of call option is \$17.16
28. 28. Options <ul><li>Develops tailored to investor characteristics </li></ul><ul><li>Multiple variables that matter in the strategy: </li></ul><ul><ul><li>Investment Goals </li></ul></ul><ul><ul><li>Anticipation on the underlying asset movement </li></ul></ul><ul><ul><li>Risk Level </li></ul></ul><ul><li>Widely used for hedging (as an insurance tool) </li></ul><ul><li>Numerous established strategies out there </li></ul>
29. 29. Options
30. 30. Options <ul><li>Types: </li></ul><ul><li>Bullish Strategies </li></ul><ul><li>Bearish Strategies </li></ul><ul><li>Neutral Strategies </li></ul>
31. 31. Options <ul><li>- Trader expects underlying asset price to go up - Assess: how high & time frame </li></ul><ul><li>Most bullish strategy </li></ul><ul><ul><li>Example: Simple Call Buying Strategy </li></ul></ul><ul><li>Moderate: target price for the bull run & utilize bull spreads to reduce cost </li></ul><ul><ul><li>Maximum profit is capped </li></ul></ul><ul><ul><li>Example: Bull Call Spread & Bull Put Spread </li></ul></ul><ul><li>Mildly bullish strategies: make money as long as the underlying stock price does not go down by the expiration date </li></ul><ul><ul><li>Example: Writing Out-of-the-Money Covered Calls </li></ul></ul>
32. 32. Options <ul><li>- Trader expects underlying asset price to go down - Assess: how low & time frame </li></ul><ul><li>Most bearish strategy </li></ul><ul><ul><li>Example: Simple Put Buying Strategy </li></ul></ul><ul><li>Moderate: target price for the expected decline & utilize bear spreads to reduce cost </li></ul><ul><ul><li>Maximum profit is capped </li></ul></ul><ul><ul><li>Example: Bear Call Spread & Bear Put Spread </li></ul></ul><ul><li>Mildly bullish strategies: make money as long as the underlying stock price does not go up by the expiration date </li></ul>
33. 33. Options <ul><li>- Trader does not know what movement to expect for the underlying asset price </li></ul><ul><li>Also called non-directional strategies: profit does not depend on underlying asset price going up or down </li></ul><ul><li>Correct neutral strategy to employ depends on the expected volatility of the underlying stock price </li></ul><ul><li>Examples: </li></ul><ul><ul><li>Straddle: position in a call & a put at the same strike & expiration </li></ul></ul><ul><ul><li>Strangle: simultaneous buying or selling of out-of-the-money put & call with same expirations yet different strike prices </li></ul></ul><ul><ul><li>Butterfly: buy in-the-money and out-of-the-money call & sell two at the money calls or vice versa </li></ul></ul><ul><ul><li>Guts: sell in the money put and call </li></ul></ul>
34. 34. Q & A Options
35. 35. <ul><li>a) the obligation to BUY an underlying asset during a particular period of time </li></ul><ul><li>b) the right to BUY an underlying asset during a particular period of time </li></ul><ul><li>c) the right to SELL an underlying asset during a particular period of time </li></ul><ul><li>d) the obligation to SELL an underlying asset during a particular period of time </li></ul>A call option is: Options
36. 36. <ul><li>a) 2 only </li></ul><ul><li>b) 3 only </li></ul><ul><li>c) both 1&4 </li></ul><ul><li>d) both 2&3 </li></ul>What should a trader who believes that a stock's price will decrease do? 1) buy a call 2) buy a put 3) write a call 4) write a put Options
37. 37. <ul><li>a) American option </li></ul><ul><li>b) European option </li></ul><ul><li>c) Bermuda option </li></ul><ul><li>d) all of these above </li></ul>Which of the following option(s) could ONLY be exercised on the date of expiration? Options
38. 38. <ul><li>a) the market to go up in movement </li></ul><ul><li>b) the long call to overlap the short call </li></ul><ul><li>c) the underlying asset to go up in movement </li></ul><ul><li>d) the prices of bovine animals to go up in the near future </li></ul>Which of the following best completes the below statement? An option trader exercises a bullish strategy when he/she expects… Options