1. Chapter McGraw-Hill/Irwin Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 14 Options and Corporate Finance

2. 14-1 Key Concepts and Skills Understand the options terminology Be able to determine option payoffs and pricing bounds Understand the five major determinants of option value Understand employee stock options Understand the various managerial options Understand the differences between warrants and traditional call options Understand convertible securities and how to determine their value

3. 14-2 Chapter Outline Options: The Basics Fundamentals of Option Valuation Valuing a Call Option Employee Stock Options Equity as a Call Option on the Firm’s Assets Options and Capital Budgeting Options and Corporate Securities

4. 14-3 Option Terminology Call Put Strike or Exercise price Expiration date Option premium Option writer American Option European Option

5. 14-4 選擇權的特性 選擇權具有槓桿操作及損失有限的特性 例如 : 台積電現股股價 70 元 而標的為台積電, 履約價格 70 元, 權利期間 一個月之買權目前市價為 7 元

6. 14-5 選擇權的特性 選擇權具有槓桿操作及損失有限的特性 186130282090 11480211585 4330141080 -28-207575 -100-700070 -100-70-7-565 -100%$-70-14%$-10$60 報酬率損益報酬率損益 買進十個台積電買 權投資金額為 70 元 買進一股台積電現 股投資金額為 70 元 到期時股 價

7. 14-6 選擇權的特性 選擇權的報酬型態 — 以前述台積電買進 買權為例 損益 到期日股價 0 70 7 77

8. 14-7 選擇權的特性 選擇權的報酬型態 — 若為買進賣權 損益 到期日股價 0 70 7 63

9. 14-8 選擇權的特性 選擇權的報酬型態 — 若為賣出買權 損益 到期日股價 0 70 7 77

10. 14-9 選擇權的特性 選擇權的報酬型態 — 若為賣出賣權 損益 到期日股價 0 70 7 63

11. 14-10 選擇權的特性 選擇權與認購權證的異同 通常較長通常較短權利期間 無保證金制度賣方須繳保證金 保證金 制度 證交所期交所交易場所 認購權證或 認售權證 買權或賣權種類 認購 ( 售 ) 權證選擇權

12. 14-11 Stock Option Quotations Look at Table 14.1 in the book Price and volume information for calls and puts with the same strike and expiration is provided on the same line Things to notice Prices are higher for options with the same strike price but longer expirations Call options with strikes less than the current price are worth more than the corresponding puts Call options with strikes greater than the current price are worth less than the corresponding puts

13. 14-12 Option Payoffs – Calls The value of the call at expiration is the intrinsic value Max(0, S-E) If S<E, then the payoff is 0 If S>E, then the payoff is S – E Assume that the exercise price is $30

14. 14-13 Option Payoffs - Puts The value of a put at expiration is the intrinsic value Max(0, E-S) If S<E, then the payoff is E-S If S>E, then the payoff is 0 Assume that the exercise price is $30

15. 14-14 Work the Web Example Where can we find option prices? On the Internet, of course. One site that provides option prices is Yahoo Finance Click on the web surfer to go to Yahoo Finance Enter a ticker symbol to get a basic quote Follow the options link Check out “symbology” to see how the ticker symbols are formed

16. 14-15 選擇權契約

17. 14-16

18. 14-17 台指選擇權 (TXO) 行情表 (2003/10/09)

19. 14-18 台指選擇權 (TXO) 行情表 (2003/10/09)

20. 14-19 股票選擇權契約

21. 14-20

22. 14-21 台積電選擇權 (ADO) 行情表股票代碼 2330 (2003/10/09) 買 權買 權 履約價時間成交價買價賣價漲跌總量 50 －－－－－－ 55 －－－－－－ 60 －－－－－－ 6511:073.62.63.6 ▽1▽1 1 7012:260.410.370.52 ▽ 0.58 3 75 －－－－－－ 80 －－－－－－ 買 權買 權

23. 14-22 台積電選擇權 (ADO) 行情表股票代碼 2330 (2003/10/09) 履約價時間成交價買價賣價漲跌總量 50 －－－－－－ 55 －－－－－－ 60 －－－－－－ 6513:390.01 0.41 ▼ 0.1 3 7010:212.582.182.58 △1△1 1 75 －－－－－－ 80 －－－－－－ 賣 權賣 權

24. 14-23

25. 14-24

26. 14-25 Call Option Bounds Upper bound Call price must be less than or equal to the stock price Lower bound Call price must be greater than or equal to the stock price minus the exercise price or zero, whichever is greater If either of these bounds are violated, there is an arbitrage opportunity

27. 14-26 Figure 14.2

28. 14-27 A Simple Model An option is “in-the-money” if the payoff is greater than zero If a call option is sure to finish in-the- money, the option value would be C 0 = S 0 – PV(E) If the call is worth something other than this, then there is an arbitrage opportunity

29. 14-28 What Determines Option Values? Stock price As the stock price increases, the call price increases and the put price decreases Exercise price As the exercise price increases, the call price decreases and the put price increases Time to expiration Generally, as the time to expiration increases both the call and the put prices increase Risk-free rate As the risk-free rate increases, the call price increases and the put price decreases

30. 14-29 What about Variance? When an option may finish out-of-the-money (expire without being exercised), there is another factor that helps determine price The variance in underlying asset returns is a less obvious, but important, determinant of option values The greater the variance, the more the call and the put are worth If an option finishes out-of-the-money, the most you can lose is your premium, no matter how far out it is The more an option is in-the-money, the greater the gain The owner of the option gains from volatility on the upside, but don’t lose anymore from volatility on the downside

31. 14-30 Table 14.2

32. 14-31 Employee Stock Options Options that are given to employees as part of their benefits package Often used as a bonus or incentive Designed to align employee interests with stockholder interests and reduce agency problems Empirical evidence suggests that they don’t work as well as anticipated due to the lack of diversification introduced into the employees’ portfolios The stock isn’t worth as much to the employee as it is to an outside investor because of the lack of diversification – this suggests that options may work in limited amounts, but not as a large part of the compensation package

33. 14-32 Equity: A Call Option Equity can be viewed as a call option on the company’s assets when the firm is leveraged The exercise price is the face value of the debt If the assets are worth more than the debt when it comes due, the option will be exercised and the stockholders retain ownership If the assets are worth less than the debt, the stockholders will let the option expire and the assets will belong to the bondholders

34. 14-33 負債到期時的股東權益價值 公司價值 (V) E=V  B E=0 B (E) 0

35. 14-34 負債到期時的負債價值 D=B B D=V 公司價值 (V) (D) 0

36. 14-35 Capital Budgeting Options Almost all capital budgeting scenarios contain implicit options Because options are valuable, they make the capital budgeting project worth more than it may appear Failure to account for these options can cause firms to reject good projects

37. 14-36 實質選擇權 實質選擇權 (Real Option) ，乃探討投資方案 中具有各種選擇權的特質，可以在投資計畫 進行期間，隨時擴充、縮減、轉換、或放棄 該計畫的權利。 可解決在傳統資本預算評估技術中，如 NPV 法存在之缺失。 擴張的 NPV ＝傳統 NPV ＋實質選擇權價值

38. 14-37 Timing Options We normally assume that a project must be taken today or forgone completely Almost all projects have the embedded option to wait A good project may be worth more if we wait A seemingly bad project may actually have a positive NPV if we wait due to changing economic conditions We should examine the NPV of taking an investment now, or in future years, and plan to invest at the time that the project produces the highest NPV

39. 14-38 Example: Timing Options Consider a project that costs $5000 and has an expected future cash flow of $700 per year forever. If we wait one year, the cost will increase to $5500 and the expected future cash flow will increase to $800. If the required return is 13%, should we accept the project? If so, when should we begin? NPV starting today = -5000 + 700/.13 = 384.62 NPV waiting one year = (-5500 + 800/.13)/(1.13) = 578.62 It is a good project either way, but we should wait until next year

40. 14-39 Managerial Options Managers often have options after a project has been implemented that can add value It is important to do some contingency planning ahead of time to determine what will cause the options to be exercised Some examples include The option to expand a project if it goes well The option to abandon a project if it goes poorly The option to suspend or contract operations particularly in the manufacturing industries Strategic options – look at how taking this project opens up other opportunities that would be otherwise unavailable

41. 14-40 Warrants A call option issued by corporations in conjunction with other securities to reduce the yield required on the other securities Differences between warrants and traditional call options Warrants are generally very long term They are written by the company and exercise results in additional shares outstanding The exercise price is paid to the company, generates cash for the firm and alters the capital structure Warrants can normally be detached from the original securities and sold separately Exercise of warrants reduces EPS, so warrants are included when a firm reports “diluted EPS”

42. 14-41 Convertibles Convertible bonds (or preferred stock) may be converted into a specified number of common shares at the option of the bondholder The conversion price is the effective price paid for the stock The conversion ratio is the number of shares received when the bond is converted Convertible bonds will be worth at least as much as the straight bond value or the conversion value, whichever is greater

43. 14-42 Valuing Convertibles Suppose you have a 10% bond that pays semiannual coupons and will mature in 15 years. The face value is $1000 and the yield to maturity on similar bonds is 9%. The bond is also convertible with a conversion price of $100. The stock is currently selling for $110. What is the minimum price of the bond? Straight bond value = 1081.44 Conversion ratio = 1000/100 = 10 Conversion value = 10*110 = 1100 Minimum price = $1100

44. 14-43 Other Options Call provision on a bond Allows the company to repurchase the bond prior to maturity at a specified price that is generally higher than the face value Increases the required yield on the bond – this is effectively how the company pays for the option Put bond Allows the bondholder to require the company to repurchase the bond prior to maturity at a fixed price Insurance and Loan Guarantees These are essentially put options

45. 14-44 Quick Quiz What is the difference between a call option and a put option? What is the intrinsic value of call and put options and what do the payoff diagrams look like? What are the five major determinants of option prices and their relationships to option prices? What are some of the major capital budgeting options? How would you value a convertible bond?

46. Chapter McGraw-Hill/Irwin Copyright © 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 14 End of Chapter