Chapter 20

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1. Award: 10.00 points Problems? Adjust credit for all students. Use Figure 20.1 , which lists prices of various Microsoft options. Use the data in the figure to calculate the payoff and the profits for investments in each of the following December 17 expiration options, assuming that the stock price on the expiration date is $300. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. $ $ $ $ $ $ $ $ $ $ $ $ Payoff Profit or Loss a. Call option, X = $290 10.00 (7.25) b. Put option, X = $290 0.00 (11.72) c. Call option, X = $300 0.00 (11.75) d. Put option, X = $300 0.00 (16.25) e. Call option, X = $310 0.00 (7.62) f. Put option, X = $310 10.00 (12.05) Explanation: Cost Payoff Profit a. Call option, X = $290 $ 17.25 $ 10.00 $ −7.25 b. Put option, X = $290 11.72 0.00 −11.72 c. Call option, X = $300 11.75 0.00 −11.75 d. Put option, X = $300 16.25 0.00 −16.25 e. Call option, X = $310 7.62 0.00 −7.62 f. Put option, X = $310 22.05 10.00 −12.05 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
2. Award: 10.00 points Problems? Adjust credit for all students. Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock’s current price, S 0 , is $100, and a call option expiring in one year has an exercise price, X , of $100 and is selling at a price, C 0 , of $10. With $10,000 to invest, you are considering three alternatives. a. Invest all $10,000 in the stock, buying 100 shares. b. Invest all $10,000 in 1,000 options (10 contracts). c. Buy 100 options (one contract) for $1,000, and invest the remaining $9,000 in a money market fund paying 4% annual interest. What is your rate of return for each alternative for the following four stock prices in one year? In terms of dollar returns In terms of rate of return Complete this question by entering your answers in the tabs below. What is your rate of return for each alternative for the following four stock prices in one year? The total value of your portfolio in one year for each of the following stock prices is: Note: Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places. In terms of dollar returns In terms of rate of return Show less $ $ $ $ Price of Stock one year from Now Stock Price 80 100 110 120 a. All stocks (100 shares) 8,000 10,000 11,000 12,000 b. All options (1,000 options) 0 0 10,000 20,000 c. Bills + 100 options 9,360 9,360 10,360 11,360 Explanation: No further explanation details are available for this problem. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
2. Award: 10.00 points Problems? Adjust credit for all students. Suppose you think AppX stock is going to appreciate substantially in value in the next year. Say the stock’s current price, S 0 , is $100, and a call option expiring in one year has an exercise price, X , of $100 and is selling at a price, C 0 , of $10. With $10,000 to invest, you are considering three alternatives. a. Invest all $10,000 in the stock, buying 100 shares. b. Invest all $10,000 in 1,000 options (10 contracts). c. Buy 100 options (one contract) for $1,000, and invest the remaining $9,000 in a money market fund paying 4% annual interest. What is your rate of return for each alternative for the following four stock prices in one year? In terms of dollar returns In terms of rate of return Complete this question by entering your answers in the tabs below. What is your rate of return for each alternative for the following four stock prices in one year? The percentage return of your portfolio in one year for each of the following stock prices is: Note: Leave no cells blank - be certain to enter "0" wherever required. Negative amounts should be indicated by a minus sign. Round the "Percentage return of your portfolio (Bills + 100 options)" answers to 2 decimal places. In terms of dollar returns In terms of rate of return Show less $ $ $ $ Price of Stock one year from Now Stock Price 80 100 110 120 a. All stocks (100 shares) (20) % 0 % 10 % 20 % b. All options (1,000 options) (100) % (100) % 0 % 100 % c. Bills + 100 options (6.40) % (6.40) % 3.60 % 13.60 % Explanation: No further explanation details are available for this problem. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
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3. Award: 10.00 points Problems? Adjust credit for all students. The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, but you are convinced it is going to break far out of that range in the next six months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a six-month call option at an exercise price of $100 is $10. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a six-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price’s future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Required A Required B Complete this question by entering your answers in the tabs below. If the semiannual risk-free interest rate is 3%, what must be the price of a six-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.) Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Required A Required B $ Price of a six-month put option on P.U.T.T. stock 8.53 Explanation: a. From put-call parity: b. Purchase a straddle, i.e., both a put and a call on the stock. The total cost of the straddle is $10.00 + $8.53 = $18.53 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
3. Award: 10.00 points Problems? Adjust credit for all students. The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, but you are convinced it is going to break far out of that range in the next six months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a six-month call option at an exercise price of $100 is $10. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a six-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price’s future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Required A Required B Complete this question by entering your answers in the tabs below. What would be a simple options strategy to exploit your conviction about the stock price’s future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Note: Round your intermediate calculations and final answer to 2 decimal places. Required A Required B $ Strategy Straddle Price change for profit 18.53 Explanation: a. From put-call parity: b. Purchase a straddle, i.e., both a put and a call on the stock. The total cost of the straddle is $10.00 + $8.53 = $18.53 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50 per share for months, and you believe it is going to stay in that range for the next six months. The price of a 6-month put option with an exercise price of $50 is $4. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Required A Required B Complete this question by entering your answers in the tabs below. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money? (The stock pays no dividends.) Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Required A Required B Required C $ Price of a 6-month call option 4.73 Explanation: a. From put-call parity: b. Sell a straddle, i.e., sell a call and a put, to realize premium income of: $4.73 + $4 = $8.73 If the stock ends up at $50, both options will be worthless → profit will be $8.73. This is your maximum possible profit since, at any other stock price, you will have to pay off on either the call or the put. The stock price can move by $8.73 in either direction before your profits become negative. c. Buy the call, sell (write) the put, lend $50 ÷ (1.03) 1/2 The payoff is as follows: Position Immediate CF CF in 6 months S T < X S T > X Call (long) C = 4.73 0 S T − 50 Put (short) −P = −4.00 −(50 − S T ) 0 Lending position 50 ÷ 1.03 0.5 = 49.27 50 50 Total 50 S T S T By the put-call parity theorem, the initial outlay equals the stock price: S 0 = $50 In either scenario, you end up with the same payoff as you would if you bought the stock itself. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
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4. Award: 10.00 points Problems? Adjust credit for all students. The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50 per share for months, and you believe it is going to stay in that range for the next six months. The price of a 6-month put option with an exercise price of $50 is $4. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Required A Required C Complete this question by entering your answers in the tabs below. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Required A Required B Required C Show less Strategy Sell a straddle Amount 8.73 Stock price 8.73 Explanation: a. From put-call parity: b. Sell a straddle, i.e., sell a call and a put, to realize premium income of: $4.73 + $4 = $8.73 If the stock ends up at $50, both options will be worthless → profit will be $8.73. This is your maximum possible profit since, at any other stock price, you will have to pay off on either the call or the put. The stock price can move by $8.73 in either direction before your profits become negative. c. Buy the call, sell (write) the put, lend $50 ÷ (1.03) 1/2 The payoff is as follows: Position Immediate CF CF in 6 months S T < X S T > X Call (long) C = 4.73 0 S T − 50 Put (short) −P = −4.00 −(50 − S T ) 0 Lending position 50 ÷ 1.03 0.5 = 49.27 50 50 Total 50 S T S T By the put-call parity theorem, the initial outlay equals the stock price: S 0 = $50 In either scenario, you end up with the same payoff as you would if you bought the stock itself. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
4. Award: 10.00 points Problems? Adjust credit for all students. The common stock of the C.A.L.L. Corporation has been trading in a narrow range around $50 per share for months, and you believe it is going to stay in that range for the next six months. The price of a 6-month put option with an exercise price of $50 is $4. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month call option on C.A.L.L. stock at an exercise price of $50 if it is at the money? (The stock pays no dividends.) b. What would be a simple options strategy using a put and a call to exploit your conviction about the stock price’s future movement? What is the most money you can make on this position? How far can the stock price move in either direction before you lose money? c. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Required B Required C Complete this question by entering your answers in the tabs below. How can you create a position involving a put, a call, and riskless lending that would have the same payoff structure as the stock at expiration? What is the net cost of establishing that position now? Note: Enter all values as positive values. Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required. Required A Required B Required C Show less Position Immediate CF Call (long) 4.73 Put (short) 4.00 Lending position 49.27 Total 50.00 Explanation: a. From put-call parity: b. Sell a straddle, i.e., sell a call and a put, to realize premium income of: $4.73 + $4 = $8.73 If the stock ends up at $50, both options will be worthless → profit will be $8.73. This is your maximum possible profit since, at any other stock price, you will have to pay off on either the call or the put. The stock price can move by $8.73 in either direction before your profits become negative. c. Buy the call, sell (write) the put, lend $50 ÷ (1.03) 1/2 The payoff is as follows: Position Immediate CF CF in 6 months S T < X S T > X Call (long) C = 4.73 0 S T − 50 Put (short) −P = −4.00 −(50 − S T ) 0 Lending position 50 ÷ 1.03 0.5 = 49.27 50 50 Total 50 S T S T By the put-call parity theorem, the initial outlay equals the stock price: S 0 = $50 In either scenario, you end up with the same payoff as you would if you bought the stock itself. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
5. Award: 10.00 points Problems? Adjust credit for all students. You are a portfolio manager who uses options positions to customize the risk profile of your clients. In each case, what strategy is best given your client’s objective? Required: a. • Performance to date: Up 16%. Client objective: Earn at least 15%. Your forecast: Good chance of major market movements, either up or down, between now and end of the year. b. • Performance to date: Up 16%. Client objective: Earn at least 15%. Your forecast: Good chance of a major market decline between now and end of year. a. What strategy is best given your client’s objective? Long straddle b. What strategy is best given your client’s objective? Long put options Explanation: a. A long straddle produces gains if prices move up or down and limited losses if prices do not move. A short straddle produces significant losses if prices move significantly up or down. A bullish spread produces limited gains if prices move up. b. Long put positions gain when stock prices fall and produce very limited losses if prices instead rise. Short calls also gain when stock prices fall but create losses if prices instead rise. The other two positions will not protect the portfolio should prices fall. Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
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6. Award: 10.00 points Problems? Adjust credit for all students. An investor purchases a stock for $38 and a put for $0.50 with a strike price of $35. The investor also sells a call for $0.50 with a strike price of $40. What are the maximum possible profit and loss for this position? $ $ Maximum profit 2 Maximum loss 3 Explanation: Note that the price of the put equals the revenue from writing the call, net initial cash outlays = $38.00 Position S T < 35 35 ≤ S T ≤ 40 40 < S T Buy stock S T S T S T Write call ($40) 0 0 40 − S T Buy put ($35) 35 − S T 0 0 Total $ 35 S T $ 40 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
7. Award: 10.00 points Problems? Adjust credit for all students. Imagine that you are holding 5,000 shares of stock, currently selling at $40 per share. You are ready to sell the shares but would prefer to put off the sale until next year for tax reasons. If you continue to hold the shares until January, however, you face the risk that the stock will drop in value before year-end. You decide to use a collar to limit downside risk without laying out a good deal of additional funds. January call options with a strike price of $45 are selling at $2, and January puts with a strike price of $35 are selling at $3. Assume that you hedge the entire 5,000 shares of stock. Required: a. What will be the value of your portfolio in January (net of the proceeds from the options) if the stock price ends up at $30? b. What will be the value of your portfolio in January (net of the proceeds from the options) if the stock price ends up at $40? c. What will be the value of your portfolio in January (net of the proceeds from the options) if the stock price ends up at $50? $ $ $ a. Portfolio Value 170,000 b. Portfolio Value 195,000 c. Portfolio Value 220,000 Explanation: For $5,000 initial outlay, buy 5,000 puts, write 5,000 calls: Position S T = $30 S T = $40 S T = $50 Stock portfolio $ 150,000 $ 200,000 $ 250,000 Write call ( X = $45) 0 0 −$ 25,000 Buy put ( X = $35) $ 25,000 0 0 Initial outlay −$ 5,000 −$ 5,000 −$ 5,000 Portfolio value $ 170,000 $ 195,000 $ 220,000 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
8. Award: 10.00 points Problems? Adjust credit for all students. Assume a stock has a value of $100. The stock is expected to pay a dividend of $2 per share at year-end. An at-the-money European-style put option with one-year expiration sells for $7. If the annual interest rate is 5%, what must be the price of a 1-year at-the-money European call option on the stock? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. $ Call option 9.86 Explanation: The price of the call is $9.86. Using put call parity, solve for the call option’s price: C = S 0 PV ( X ) − PV (Dividends) + P = $100 − ($100 ÷ (1.05)) − ($2 ÷ (1.05)) + $7 = $9.86 Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
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9. Award: 10.00 points Problems? Adjust credit for all students. You buy a share of stock, write a 1-year call option with X = $10, and buy a 1-year put option with X = $10. Your net outlay to establish the entire portfolio is $9.50. Required: a. What is the payoff of your portfolio? b. What must be the risk-free interest rate? The stock pays no dividends. Note: Round your answer to 2 decimal places. a. Payoff 10 b. Risk-free rate 5.26 % Explanation: a. The following payoff table shows that the portfolio is riskless with time- T value equal to $10: Position S T ≤ 10 S T > 10 Buy stock S T S T Write call, X = $ 10 0 −(S T − 10) Buy put, X = $ 10 10 − S T 0 Total 10 10 b. Therefore, the risk-free rate is: ($10.00 ÷ $9.50) − 1 = 0.0526 = 5.26% Worksheet Difficulty: 2 Intermediate Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
10. Award: 10.00 points Problems? Adjust credit for all students. Netflux is selling for $100 a share. A Netflux call option with one month until expiration and an exercise price of $105 sells for $2 while a put with the same strike and expiration sells for $6.94. Required: a. What must be the market price of a zero-coupon bond with face value $105 and 1-month maturity? Note: Round your answer to 2 decimal places. b. What is the risk-free interest rate expressed as an effective annual yield? Note: Round your answer to 1 decimal place. $ a. Market price 104.94 b. Risk-free interest rate 0.7 % Explanation: a. According to put-call parity (assuming no dividends), the present value of a payment of $105 can be calculated using the options with one month expiration and exercise price of $105. Annualizing generates a risk-free rate of 0.7%: PV( X ) = S 0 + P − C PV($105) = $100 + $6.94 − $2 = $104.94 b. Effective Annual Yield (EAY): Worksheet Difficulty: 3 Challenge Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Problems - Algorithmic & Static References
11. Award: 10.00 points Problems? Adjust credit for all students. Required: a. You have just purchased the options listed below. Based on the information given, indicate whether the option is in the money, out of the money, or at the money, whether you would exercise the option if it were expiring today, what the dollar profit would be, and what the percentage return would be. Note: Enter “0” if there is no profit or return from not exercising the option. Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places. $ $ $ $ Company Option Strike Today's Stock Price In/Out of the Money? Premium Exercise? Profit Return ABC Call 10 10.26 In the money 1.10 Yes (0.84) (76.36) % ABC Put 10 10.26 Out of the money 0.95 No 0.00 0.00 % ABC Call 25 23.93 Out of the money 1.05 No 0.00 0.00 % ABC Put 25 23.93 In the money 2.25 Yes (1.18) (52.44) % b. Now suppose that time has passed and the stocks’ prices have changed as indicated in the table below. Recalculate your answers to part a. $ $ $ $ Company Option Strike Today's Stock Price In/Out of the Money? Premium Exercise? Profit Return ABC Call 10.00 11.23 In the money 1.10 Yes 0.13 11.82 % ABC Put 10.00 11.23 Out of the money 0.95 No 0.00 0.00 % ABC Call 25.00 27.00 In the money 1.05 Yes 0.95 90.48 % ABC Put 25.00 27.00 Out of the money 2.25 No 0.00 0.00 % Explanation: Call options will be in the money if the current stock price is greater than the strike price. If the call option is in the money you will always exercise the option. The profit on the option will be the difference between the stock price and the strike price less the premium paid. Finally, the total return will be profit divided by the premium paid for the option. Call options are out of the money if the stock price is less than the strike price which will then not be exercised and yield no profit or return. Put options will be in the money if the current stock price is less than the strike price. If the put option is in the money you will always exercise the option. The profit on the option will be the difference between the strike price and the stock price less the premium paid. Finally, the total return will be the profit divided by the premium paid for the option. Put options are out of the money if the stock price is more than the strike price which will then not be exercised and yield no profit or return. a. Company Option Strike Today's Stock Price In/Out of the Money? Premium Exercise? Profit Return ABC Call 10 $10.26 In the money 1.10 Yes −0.84 −76.36% ABC Put 10 $10.26 Out of the money 0.95 No 0.00 0.00% ABC Call 25 $23.93 Out of the money 1.05 No 0.00 0.00% ABC Put 25 $23.93 In the money 2.25 Yes −1.18 −52.44% b. Company Option Strike Today's Stock Price In/Out of the Money? Premium Exercise? Profit Return ABC Call 10 $11.23 In the money 1.10 Yes 0.13 11.82% ABC Put 10 $11.23 Out of the money 0.95 No 0.00 0.00% ABC Call 25 $27.00 Out of the money 1.05 No 0.95 90.48% ABC Put 25 $27.00 In the money 2.25 Yes 0.00 0.00% Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
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12. Award: 10.00 points Problems? Adjust credit for all students. The table below contains information for an XRAY, Incorporated call option. XRAY common stock is currently selling for $39.00. Expiration Strike Last Volume Open Interest November 16.00 3.00 2,156 11,579 Required: a. Is the option in the money? Yes No b. What is the profit on this position? Note: Round your answer to 2 decimal places. $ Profit 23.00 c. Suppose that on the expiration date the stock’s price is $14.00. Will you exercise the call option? Yes No Explanation: a. A call option is in the money when the current market price of the stock is above the strike price of the call. In this case, the selling price of $39.00 is greater than the strike price of $16.00; therefore, the option is in the money. b. The profit on the position will be the difference between the selling price and the strike price when the option is exercised. In this case, the profit will be $39.00 − $16.00 = 23.00. c. If at expiration the stock price is $14.00, it is less than the strike price and you will therefore not exercise the option. The option will expire worthless. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
13. Award: 10.00 points Problems? Adjust credit for all students. One month ago you purchased a put option on the S&P500 Index with an exercise price of $900.00. Today is the expiration date, and the index is at $896.46. Required: a. Will you exercise the option? Yes No b. What will be your profit? Note: Enter “0” if there is no profit or return from not exercising the option. Round your answer to 2 decimal places. $ Profit 3.54 Explanation: a. You will exercise the put option if the current value of the index is less than the exercise price. You will not exercise if the index value is greater than the exercise price. b. If the option is exercised, the profit will be the difference between the current value of the index and the exercise price. Profit = $900.00 − $896.46 = $3.54 Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
14. Award: 10.00 points Problems? Adjust credit for all students. Several months ago you purchased a call option on a crude oil futures contract with an exercise price of $6,000.00. Today is the expiration date, and the futures price is $6,260.00. Required: a. Will you exercise the option? Yes No b. What will be your profit? Note: Enter “0” if there is no profit or return from not exercising the option. Round your answer to 2 decimal places. $ Profit 260.00 Explanation: a. You will exercise the call option on the futures contract if the futures price is greater than the exercise price. The option will not be exercised if the futures price is less than the exercise price, and the option will expire worthless. b. If the option on the futures contract is exercised, the profit will be the difference between the futures price and the exercise price. Profit = $6,260.00 − $6,000.00 = $260.00 Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
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15. Award: 10.00 points Problems? Adjust credit for all students. Suppose that you purchased a conventional call option on growth in Non-Farm Payrolls (NFP) with an exercise price of 207,500 jobs. The NFP conventional contract pays out $115 for every job created in excess of the exercise price. Required: a. What is the value of the option if job growth is 194,500? Note: Round your answer to the nearest dollar. $ Option value 0 b. What is the value of the option if job growth is 215,000? Note: Round your answer to the nearest dollar. $ Option value 862,500 Explanation: a. The value of the call option on the contract is $0 since the current job growth of 194,500 is less than the 207,500 job strike price. b. The call option will be exercised because 215,000 is greater than 207,500. The “profit” is 862,500 jobs. The value of the option will be the $115 for each of 7,500 jobs or $862,500 = ($115 × 7,500). Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
16. Award: 10.00 points Problems? Adjust credit for all students. On February 1, the put/call ratio was 0.645. On April 1, there are 193 put options and 256 call options outstanding on a stock. Calculate the put/call ratio for April 1. Note: Round your answer to 4 decimal places. Put/call ratio 0.7539 Explanation: The put/call ratio on April 1 equals 193 ÷ 256 = 0.7539. A rising put/call ratio is open to interpretation. Puts are purchased in anticipation of falling prices so some investors consider an increased put/call ratio bearish. These investors would be likely to sell when the ratio is 0.75. Others, called contrarians, believe that an increase in the put/call ratio indicates that the market is undervalued and that it would be a good time to buy. They expect that prices would rise soon to get to proper valuation levels. Worksheet Difficulty: 1 Basic Source: Investments (Bodie, 13e, ISBN 1266836322) > Chapter 20: Options Markets: Introduction > Chapter 20 Additional Algorithmic Problems References
1. Award: 10.00 points 2. Award: 10.00 points 3. Award: 10.00 points 4. Award: 10.00 points The price that the buyer of a call option pays to acquire the option is called the: strike price. exercise price. execution price. acquisition price. premium. The price that the buyer of a call option pays to acquire the option is called the premium. References Multiple Choice Difficulty: 1 Basic The price that the writer of a call option receives to sell the option is called the: strike price. exercise price. execution price. acquisition price. premium. The price that the writer of a call option receives to sell the option is called the premium. References Multiple Choice Difficulty: 1 Basic The price that the buyer of a put option pays to acquire the option is called the: strike price. exercise price. execution price. acquisition price. premium. The price that the buyer of a put option pays to acquire the option is called the premium. References Multiple Choice Difficulty: 1 Basic The price that the writer of a put option receives to sell the option is called the: premium. exercise price. execution price. acquisition price. strike price. The price that the writer of a put option receives to sell the option is called the premium. References Multiple Choice Difficulty: 1 Basic
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5. Award: 10.00 points 6. Award: 10.00 points 7. Award: 10.00 points 8. Award: 10.00 points The price that the buyer of a call option pays for the underlying asset if she executes her option is called the: strike price, only. exercise price, only. execution price, only. strike price or execution price. strike price or exercise price. The price that the buyer of a call option pays for the underlying asset if she executes her option is strike price or exercise price. References Multiple Choice Difficulty: 1 Basic The price that the writer of a call option receives for the underlying asset if the buyer executes her option is called the: strike price, only. exercise price, only. execution price, only. strike price or exercise price. strike price or execution price. The price that the writer of a call option receives for the underlying asset if the buyer executes her option is called the strike price or exercise price. References Multiple Choice Difficulty: 1 Basic The price that the buyer of a put option receives for the underlying asset if she executes her option is called the: strike price, only. exercise price, only. execution price, only. strike price or execution price. strike price or exercise price. The price that the buyer of a put option receives for the underlying asset if she executes her option is called the strike price or exercise price. References Multiple Choice Difficulty: 1 Basic The price that the writer of a put option receives for the underlying asset if the option is exercised is called the: strike price, only. exercise price, only. execution price, only. strike price or exercise price. None of the options are correct. The price that the writer of a put option receives for the underlying asset if the option is exercised depends on the market price at the time. References Multiple Choice Difficulty: 1 Basic
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9. Award: 10.00 points 10. Award: 10.00 points 11. Award: 10.00 points 12. Award: 10.00 points An American call option allows the buyer to: sell the underlying asset at the exercise price on or before the expiration date, only. buy the underlying asset at the exercise price on or before the expiration date, only. sell the option in the open market prior to expiration, only. sell the underlying asset at the exercise price on or before the expiration date and sell the option in the open market prior to expiration. buy the underlying asset at the exercise price on or before the expiration date and sell the option in the open market prior to expiration. An American call option may be exercised (allowing the holder to buy the underlying asset) on or before expiration; the option contract also may be sold prior to expiration. References Multiple Choice Difficulty: 1 Basic A European call option allows the buyer to: sell the underlying asset at the exercise price on the expiration date, only. buy the underlying asset at the exercise price on or before the expiration date, only. sell the option in the open market prior to expiration, only. buy the underlying asset at the exercise price on the expiration date, only. sell the option in the open market prior to expiration and buy the underlying asset at the exercise price on the expiration date. A European call option may be exercised (allowing the holder to buy the underlying asset) on the expiration date; the option contract also may be sold prior to expiration. References Multiple Choice Difficulty: 1 Basic An American put option allows the holder to: buy the underlying asset at the strike price on or before the expiration date. sell the underlying asset at the strike price on or before the expiration date. potentially benefit from a stock price increase. sell the underlying asset at the strike price on or before the expiration date and potentially benefit from a stock price increase. buy the underlying asset at the strike price on or before the expiration date and potentially benefit from a stock price increase. An American put option allows the buyer to sell the underlying asset at the strike price on or before the expiration date. References Multiple Choice Difficulty: 1 Basic A European put option allows the holder to: buy the underlying asset at the strike price on or before the expiration date. sell the underlying asset at the strike price on or before the expiration date. potentially benefit from a stock price increase. sell the underlying asset at the strike price on the expiration date. potentially benefit from a stock price increase and sell the underlying asset at the strike price on the expiration date. A European put option allows the buyer to sell the underlying asset at the strike price only on the expiration date. The put option also allows the investor to benefit from an expected stock price decrease while risking only the amount invested in the contract. References Multiple Choice Difficulty: 1 Basic
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13. Award: 10.00 points 14. Award: 10.00 points 15. Award: 10.00 points 16. Award: 10.00 points An American put option can be exercised: any time on or before the expiration date. only on the expiration date. any time in the indefinite future. only after dividends are paid. None of the options are correct. American options can be exercised on or before expiration date. References Multiple Choice Difficulty: 1 Basic An American call option can be exercised: any time on or before the expiration date. only on the expiration date. any time in the indefinite future. only after dividends are paid. None of the options are correct. American options can be exercised on or before expiration date. References Multiple Choice Difficulty: 1 Basic A European call option can be exercised: any time in the future. only on the expiration date. if the price of the underlying asset declines below the exercise price. immediately after dividends are paid. None of the options are correct. European options can be exercised at expiration only. References Multiple Choice Difficulty: 1 Basic A European put option can be exercised: any time in the future. only on the expiration date. if the price of the underlying asset declines below the exercise price. immediately after dividends are paid. None of the options are correct. European options can be exercised at expiration only. References Multiple Choice Difficulty: 1 Basic
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17. Award: 10.00 points 18. Award: 10.00 points 19. Award: 10.00 points 20. Award: 10.00 points To adjust for stock splits: the exercise price of the option is reduced by the factor of the split, and the number of options held is increased by that factor. the exercise price of the option is increased by the factor of the split, and the number of options held is reduced by that factor. the exercise price of the option is reduced by the factor of the split, and the number of options held is reduced by that factor. the exercise price of the option is increased by the factor of the split, and the number of options held is increased by that factor. None of the options are correct. To adjust for stock splits the exercise price of the option is reduced by the factor of the split and the number of options held is increased by that factor. References Multiple Choice Difficulty: 1 Basic All else equal, call option values are lower: in the month of May, only. for low dividend-payout policies, only. for high dividend-payout policies, only. in the month of May and for low dividend-payout policies. in the month of May and for high dividend-payout policies. All else equal, call option values are lower for high dividend payout policies. References Multiple Choice Difficulty: 1 Basic All else equal, call option values are higher: in the month of May, only. for low dividend-payout policies, only. for high dividend-payout policies, only. in the month of May and for low dividend-payout policies. in the month of May and for high dividend-payout policies. All else equal, call option values are higher for low dividend payout policies. References Multiple Choice Difficulty: 1 Basic The current market price of a share of COCA COLA stock is $50. If a call option on this stock has a strike price of $45, the call: is out of the money, only. is in the money, only. sells for a higher price than if the market price of COCA COLA stock is $40, only. is out of the money and sells for a higher price than if the market price of COCA COLA stock is $40. is in the money and sells for a higher price than if the market price of COCA COLA stock is $40. If the strike price on a call option is less than the market price, the option is in the money and sells for more than an out of the money option. References Multiple Choice Difficulty: 1 Basic
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21. Award: 10.00 points 22. Award: 10.00 points 23. Award: 10.00 points 24. Award: 10.00 points The current market price of a share of CSCO stock is $75. If a call option on this stock has a strike price of $70, the call: is out of the money, only. is in the money, only. sells for a higher price than if the market price of CSCO stock is $70, only. is out of the money and sells for a higher price than if the market price of CSCO stock is $70. is in the money and sells for a higher price than if the market price of CSCO stock is $70. If the strike price on a call option is less than the market price, the option is in the money and sells for more than an at the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of CSCO stock is $22. If a call option on this stock has a strike price of $20, the call: is out of the money, only. is in the money, only. sells for a higher price than if the market price of CSCO stock is $21, only. is out of the money and sells for a higher price than if the market price of CSCO stock is $21. is in the money and sells for a higher price than if the market price of CSCO stock is $21. If the strike price on a call option is less than the market price, the option is in the money and sells for more than a less in the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of Disney stock is $60. If a call option on this stock has a strike price of $65, the call: is out of the money, only. is in the money, only. can be exercised profitably, only. is out of the money and can be exercised profitably. is in the money and can be exercised profitably. If the strike price on a call option is more than the market price, the option is out of the money and cannot be exercised profitably. References Multiple Choice Difficulty: 1 Basic The current market price of a share of IBM stock is $76. If a call option on this stock has a strike price of $76, the call: is out of the money. is in the money. is at the money. is worthless. None of the options are correct. If the strike price on a call option is equal to the market price, the option is at the money. References Multiple Choice Difficulty: 1 Basic
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25. Award: 10.00 points 26. Award: 10.00 points 27. Award: 10.00 points 28. Award: 10.00 points The current market price of a share of MSI stock is $24. If a call option on this stock has a strike price of $24, the call: is out of the money. is in the money. is at the money. is worthless. None of the options are correct. If the strike price on a call option is equal to the market price, the option is at the money. References Multiple Choice Difficulty: 1 Basic The current market price of a share of ONB stock is $195. If a call option on this stock has a strike price of $195, the call: is out of the money. is in the money. is at the money. is worthless. None of the options are correct. If the strike price on a call option is equal to the market price, the option is at the money. References Multiple Choice Difficulty: 1 Basic A put option on a stock is said to be out of the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. An out of the money put option gives the owner the right to sell the shares for less than market price. References Multiple Choice Difficulty: 1 Basic A put option on a stock is said to be in the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. An in the money put option gives the owner the right to sell the shares for more than market price. References Multiple Choice Difficulty: 1 Basic
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29. Award: 10.00 points 30. Award: 10.00 points 31. Award: 10.00 points 32. Award: 10.00 points A put option on a stock is said to be at the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. A put option on a stock is said to be at the money if the exercise price is equal to the stock price. References Multiple Choice Difficulty: 1 Basic A call option on a stock is said to be out of the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. An out of the money call option gives the owner the right to buy the shares for more than market price. References Multiple Choice Difficulty: 1 Basic A call option on a stock is said to be in the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. An in the money call option gives the owner the right to buy the shares for less than market price. References Multiple Choice Difficulty: 1 Basic A call option on a stock is said to be at the money if: the exercise price is higher than the stock price. the exercise price is less than the stock price. the exercise price is equal to the stock price. the price of the put is higher than the price of the call. the price of the call is higher than the price of the put. A call option on a stock is said to be at the money if the exercise price is equal to the stock price. References Multiple Choice Difficulty: 1 Basic
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33. Award: 10.00 points 34. Award: 10.00 points 35. Award: 10.00 points 36. Award: 10.00 points The current market price of a share of LLY stock is $60. If a put option on this stock has a strike price of $55, the put: is in the money, only. is out of the money, only. sells for a lower price than if the market price of LLY stock is $50, only. is in the money and sells for a lower price than if the market price of LLY stock is $50. is out of the money and sells for a lower price than if the market price of LLY stock is $50. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an in the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of a stock is $80. If a put option on this stock has a strike price of $75, the put: is in the money, only. is out of the money, only. sells for a lower price than if the market price of the stock is $75, only. is in the money and sells for a lower price than if the market price of the stock is $75. is out of the money and sells for a lower price than if the market price of the stock is $75. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an at the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of a stock is $20. If a put option on this stock has a strike price of $18, the put: is out of the money, only. is in the money, only. sells for a higher price than if the strike price of the put option was $23, only. is out of the money and sells for a higher price than if the strike price of the put option was $23. is in the money and sells for a higher price than if the strike price of the put option was $23. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an in the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of MSI stock is $15. If a put option on this stock has a strike price of $20, the put: is out of the money, only. is in the money, only. can be exercised profitably, only. is out of the money and can be exercised profitably. is in the money and can be exercised profitably. If the strike price on a put option is more than the market price, the option is in the money. References Multiple Choice Difficulty: 1 Basic
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37. Award: 10.00 points 38. Award: 10.00 points 39. Award: 10.00 points 40. Award: 10.00 points The current market price of a share of TSCO stock is $75. If a put option on this stock has a strike price of $79, the put: is out of the money, only. is in the money, only. can be exercised profitably, only. is out of the money and can be exercised profitably. is in the money and can be exercised profitably. If the strike price on a put option is more than the market price, the option is in the money and can be profitably exercised. References Multiple Choice Difficulty: 1 Basic The current market price of a share of COCA COLA stock is $50. If a put option on this stock has a strike price of $45, the put: is out of the money, only. is in the money, only. sells for a lower price than if the market price of COCA COLA stock is $40, only. is out of the money and sells for a lower price than if the market price of COCA COLA stock is $40. is in the money and sells for a lower price than if the market price of COCA COLA stock is $40. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an in the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of CSCO stock is $75. If a put option on this stock has a strike price of $70, the put: is out of the money, only. is in the money, only. sells for a higher price than if the market price of CSCO stock is $70, only. is out of the money and sells for a higher price than if the market price of CSCO stock is $70. is in the money and sells for a higher price than if the market price of CSCO stock is $70. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an at the money option. References Multiple Choice Difficulty: 1 Basic The current market price of a share of CSCO stock is $22. If a put option on this stock has a strike price of $20, the put: is out of the money, only. is in the money, only. sells for a higher price than if the strike price of the put option was $25, only. is out of the money and sells for a higher price than if the strike price of the put option was $25. is in the money and sells for a higher price than if the strike price of the put option was $25. If the strike price on a put option is less than the market price, the option is out of the money and sells for less than an in the money option. References Multiple Choice Difficulty: 1 Basic
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41. Award: 10.00 points 42. Award: 10.00 points 43. Award: 10.00 points 44. Award: 10.00 points The current market price of a share of Disney stock is $60. If a put option on this stock has a strike price of $65, the put: is out of the money, only. is in the money, only. can be exercised profitably, only. is out of the money and can be exercised profitably. is in the money and can be exercised profitably. If the strike price on a put option is more than the market price, the option is in the money and can be exercise profitably. References Multiple Choice Difficulty: 1 Basic The current market price of a share of IBM stock is $76. If a put option on this stock has a strike price of $80, the put: is out of the money, only. is in the money, only. can be exercised profitably, only. is out of the money and can be exercised profitably. is in the money and can be exercised profitably. If the strike price on a put option is less than the market price, the option is in the money and can be profitably exercised. References Multiple Choice Difficulty: 1 Basic Lookback options have payoffs that: depend in part on the minimum or maximum price of the underlying asset during the life of the option. only depend on the minimum price of the underlying asset during the life of the option. only depend on the maximum price of the underlying asset during the life of the option. are known in advance. None of the options are correct. Lookback options have payoffs that depend in part on the minimum or maximum price of the underlying asset during the life of the option. References Multiple Choice Difficulty: 1 Basic Barrier options have payoffs that: have payoffs that only depend on the minimum price of the underlying asset during the life of the option. depend both on the asset's price at expiration and on whether the underlying asset's price has crossed through some barrier. are known in advance. have payoffs that only depend on the maximum price of the underlying asset during the life of the option. None of the options are correct. Barrier options have payoffs that depend both on the asset's price at expiration and on whether the underlying asset's price has crossed through some barrier. References Multiple Choice Difficulty: 1 Basic
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45. Award: 10.00 points 46. Award: 10.00 points 47. Award: 10.00 points 48. Award: 10.00 points Currency-translated options have: only asset prices denoted in a foreign currency. only exercise prices denoted in a foreign currency. payoffs that only depend on the maximum price of the underlying asset during the life of the option. either asset or exercise prices denoted in a foreign currency. None of the options are correct. Currency-translated options have either asset or exercise prices denoted in a foreign currency. References Multiple Choice Difficulty: 1 Basic Binary options: are based on two possible outcomes—yes or no. may make a payoff of a fixed amount if a specified event happens. may make a payoff of a fixed amount if a specified event does not happen. may make a payoff of a fixed amount if a specified event happens and are based on two possible outcomes—yes or no. All of the options are correct. Binary options are based on two possible outcomes—yes or no, may make a payoff of a fixed amount if a specified event happens, and may make a payoff of a fixed amount if a specified event does not happen. References Multiple Choice Difficulty: 1 Basic The maximum loss a buyer of a stock call option can suffer is equal to: the strike price minus the stock price. the stock price minus the value of the call. the call premium. the stock price. None of the options are correct. If an option expires worthless, all the buyer has lost is the price of the contract (premium). References Multiple Choice Difficulty: 1 Basic The maximum loss a buyer of a stock put option can suffer is equal to: the strike price minus the stock price. the stock price minus the value of the call. the put premium. the stock price. None of the options are correct. If an option expires worthless, all the buyer has lost is the price of the contract (premium). References Multiple Choice Difficulty: 1 Basic
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49. Award: 10.00 points 50. Award: 10.00 points 51. Award: 10.00 points 52. Award: 10.00 points The lower bound on the market price of a convertible bond is: its straight-bond value. its crooked-bond value. its conversion value. its straight-bond value and its conversion value. None of the options are correct. The lower bound on the market price of a convertible bond is its straight bond value or its conversion value. References Multiple Choice Difficulty: 1 Basic The potential loss for a writer of a naked call option on a stock is: limited. unlimited. increasing when the stock price is decreasing. equal to the call premium. None of the options are correct. If the buyer of the option elects to exercise the option and buy the stock at the exercise price, the seller of the option must go into the open market and buy the stock (in order to sell the stock to the buyer of the contract) at the current market price. Theoretically, the market price of a stock is unlimited; thus the writer's potential loss is unlimited. References Multiple Choice Difficulty: 2 Intermediate You write one LLY February 70 put for a premium of $5. Ignoring transactions costs, what is the break-even price of this position? $65 $75 $5 $70 None of the options are correct. $70 $5 = $65 References Multiple Choice Difficulty: 1 Basic You purchase one LLY 75 call option for a premium of $3. Ignoring transaction costs, the break-even price of the position is: $75. $72. $3. $78. None of the options are correct. $75 + $3 = $78 References Multiple Choice Difficulty: 1 Basic
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53. Award: 10.00 points 54. Award: 10.00 points 55. Award: 10.00 points 56. Award: 10.00 points You write one COCA COLA February 50 put for a premium of $5. Ignoring transactions costs, what is the break-even price of this position? $50 $55 $45 $40 None of the options are correct. $50 $5 = $45 References Multiple Choice Difficulty: 1 Basic You purchase one ONB 200 call option for a premium of $6. Ignoring transaction costs, the break-even price of the position is: $194. $228. $200. $211. None of the options are correct. $200 + $6 = $206 References Multiple Choice Difficulty: 1 Basic Call options on ONB-listed stock options are: issued by ONB Corporation, only. created by investors, only. traded on various exchanges, only. issued by ONB Corporation and traded on various exchanges. created by investors and traded on various exchanges. Options are merely contracts between buyer and seller and sold on various organized exchanges and the over-the-counter market. References Multiple Choice Difficulty: 2 Intermediate Buyers of call options _________ required to post margin deposits, and sellers of put options _________ required to post margin deposits. are; are not are; are are not; are are not; are not are always; are sometimes Buyers of call options pose no risk as they have no commitment. If the option expires worthless, the buyer merely loses the option premium. If the option is in the money at expiration and the buyer lacks funds, there is no requirement to exercise. The seller of a put option is committed to selling the stock at the exercise price. If the seller of the option does not own the underlying stock, the seller must go into the open market and buy the stock in order to be able to sell the stock to the buyer of the contract. References Multiple Choice Difficulty: 2 Intermediate
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57. Award: 10.00 points 58. Award: 10.00 points 59. Award: 10.00 points 60. Award: 10.00 points Buyers of put options anticipate the value of the underlying asset will _________, and sellers of call options anticipate the value of the underlying asset will _________. increase; increase decrease; increase increase; decrease decrease; decrease Cannot tell without further information The buyer of the put option hopes the price will fall to exercise the option and sell the stock at a price higher than the market price. Likewise, the seller of the call option hopes the price will decrease so the option will expire worthless. References Multiple Choice Difficulty: 2 Intermediate The Option Clearing Corporation is owned by: the Federal Reserve System. the exchanges on which stock options are traded. the major U.S. banks. the Federal Deposit Insurance Corporation. None of the options are correct. The exchanges on which options are traded jointly own the Option Clearing Corporation in order to facilitate option trading. References Multiple Choice Difficulty: 2 Intermediate A covered call position is: the simultaneous purchase of the call and the underlying asset. the purchase of a share of stock with a simultaneous sale of a put on that stock. the short sale of a share of stock with a simultaneous sale of a call on that stock. the purchase of a share of stock with a simultaneous sale of a call on that stock. the simultaneous purchase of a call and sale of a put on the same stock. Writing a covered call is a very safe strategy, as the writer owns the underlying stock. The only risk to the writer is that the stock will be called away, thus limiting the upside potential. References Multiple Choice Difficulty: 2 Intermediate According to the put-call parity theorem, the value of a European put option on a non-dividend paying stock is equal to: the call value plus the present value of the exercise price plus the stock price. the call value plus the present value of the exercise price minus the stock price. the present value of the stock price minus the exercise price minus the call price. the present value of the stock price plus the exercise price minus the call price. None of the options are correct. P 0 = C 0 S 0 + PV ( X ) + PV (Dividends) = C 0 S 0 + PV ( X ) References Multiple Choice Difficulty: 3 Challenge
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61. Award: 10.00 points 62. Award: 10.00 points 63. Award: 10.00 points 64. Award: 10.00 points A protective put strategy is: a long put plus a long position in the underlying asset. a long put plus a long call on the same underlying asset. a long call plus a short put on the same underlying asset. a long put plus a short call on the same underlying asset. None of the options are correct. If you invest in a stock and purchase a put option on the stock, you are guaranteed a payoff equal to the exercise price; thus the protection of the put. References Multiple Choice Difficulty: 2 Intermediate Suppose the price of a share of Google stock is $500. An April call option on Google stock has a premium of $5 and an exercise price of $500. Ignoring commissions, the holder of the call option will earn a profit if the price of the share: increases to $504. decreases to $490. increases to $506. decreases to $496. None of the options are correct. $500 + $5 = $505 (breakeven). The price of the stock must increase to above $505 for the option holder to earn a profit. References Multiple Choice Difficulty: 2 Intermediate Suppose the price of a share of ONB stock is $200. An April call option on ONB stock has a premium of $5 and an exercise price of $200. Ignoring commissions, the holder of the call option will earn a profit if the price of the share: increases to $204. decreases to $190. increases to $206. decreases to $196. None of the options are correct. $200 + $5 = $205 (breakeven). The price of the stock must increase to above $205 for the option holder to earn a profit. References Multiple Choice Difficulty: 2 Intermediate You purchased one Coca Cola March 50 call and sold one COCA COLA March 55 call. Your strategy is known as: a long straddle. a horizontal spread. a money spread. a short straddle. None of the options are correct. A money spread involves the purchase one option and the simultaneous sale of another with a different exercise price and same expiration date. References Multiple Choice Difficulty: 2 Intermediate
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65. Award: 10.00 points 66. Award: 10.00 points 67. Award: 10.00 points 68. Award: 10.00 points You purchased one Coca Cola March 50 put and sold one COCA COLA April 50 put. Your strategy is known as: a vertical spread. a straddle. a time spread. a collar. None of the options are correct. A time spread involves the simultaneous purchase and sale of options with different expiration dates, same exercise price. References Multiple Choice Difficulty: 2 Intermediate Before expiration, the time value of a call option is equal to: zero. the actual call price minus the intrinsic value of the call. the intrinsic value of the call. the actual call price plus the intrinsic value of the call. None of the options are correct. The difference between the actual call price and the intrinsic value is the time value of the option, which should not be confused with the time value of money. The option's time value is the difference between the option's price and the value of the option were the option expiring immediately. References Multiple Choice Difficulty: 2 Intermediate Which of the following factors affect the price of a stock option? The risk-free rate. The riskiness of the stock. The time to expiration. The expected rate of return on the stock. The risk-free rate, riskiness of the stock, and time to expiration. The risk-free rate, riskiness of the stock, and time to expiration are directly related to the price of the option; the expected rate of return on the stock does not affect the price of the option. References Multiple Choice Difficulty: 2 Intermediate All of the following factors affect the price of a stock option except: the risk-free rate. the riskiness of the stock. the time to expiration. the expected rate of return on the stock. None of the options are correct. The risk-free rate, riskiness of the stock, and time to expiration are directly related to the price of the option; the expected rate of return on the stock does not affect the price of the option. References Multiple Choice Difficulty: 2 Intermediate
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69. Award: 10.00 points 70. Award: 10.00 points 71. Award: 10.00 points 72. Award: 10.00 points The value of a stock put option is positively related to the following factors except: the time to expiration. the strike price. the stock price. All of the options are correct. None of the options are correct. The time to expiration and strike price are positively related to the value of a put option; the stock price is inversely related to the value of the option. References Multiple Choice Difficulty: 2 Intermediate The value of a stock put option is positively related to: the time to expiration, only. the strike price, only. the stock price, only. the time to expiration and the strike price. All of the options are correct. The time to expiration and strike price are positively related to the value of a put option; the stock price is inversely related to the value of the option. References Multiple Choice Difficulty: 2 Intermediate You purchase one September 50 put contract for a put premium of $2. What is the maximum profit that you could gain from this strategy? $4,800 $200 $5,000 $5,200 None of the options are correct. 50 × $100 $2 × 100 = $4,800 (if the stock falls to zero). References Multiple Choice Difficulty: 2 Intermediate You purchase one June 70 put contract for a put premium of $4. What is the maximum profit that you could gain from this strategy? $7,000 $400 $7,400 $6,600 None of the options are correct. 70 × $100 $4 × 100 = $6,600 (if the stock falls to zero). References Multiple Choice Difficulty: 2 Intermediate
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73. Award: 10.00 points 74. Award: 10.00 points 75. Award: 10.00 points You purchase one ONB March 200 put contract for a put premium of $6. What is the maximum profit that you could gain from this strategy? $20,000 $20,600 $19,400 $19,000 None of the options are correct. 200 × $100 $6 × 100 = $19,400 (if the stock falls to zero). References Multiple Choice Difficulty: 2 Intermediate The following Stock option price quotations were taken from the Wall Street Journal . Microsoft (MSFT) Underlying Price: 295.71 Expiration Strike Call Put 1-October-2021 290 9.43 3.63 1-October-2021 300 3.60 7.82 1-October-2021 310 1.08 15.28 17-December-2021 290 17.25 11.72 17-December-2021 300 11.75 16.25 17-December-2021 310 7.62 22.05 The premium on one October 290 call contract is: $9.43. $3.63. $943.00. $58.00. None of the options are correct. $9.43 × 100 = $943 Price quotations are per share; however, option contracts are standardized for 100 shares of the underlying stock; thus, the quoted premiums must be multiplied by 100. References Multiple Choice Difficulty: 2 Intermediate The following price quotations on Microsoft were taken from the Wall Street Journal . Microsoft (MSFT) Underlying Price: 295.71 Expiration Strike Call Put 1-October-2021 290 9.43 3.63 1-October-2021 300 3.60 7.82 1-October-2021 310 1.08 15.28 17-December-2021 290 17.25 11.72 17-December-2021 300 11.75 16.25 17-December-2021 310 7.62 22.05 The premium on one Microsoft December 310 put contract is: $22.05. $7.62. $2,205. $762. None of the options are correct. $22.05 × 100 = $2,205. Price quotations are per share; however, option contracts are standardized for 100 shares of the underlying stock; thus, the quoted premiums must be multiplied by 100. References Multiple Choice Difficulty: 2 Intermediate
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76. Award: 10.00 points 77. Award: 10.00 points 78. Award: 10.00 points 79. Award: 10.00 points The following price quotations on Microsoft were taken from the Wall Street Journal. Microsoft (MSFT) Underlying Price: 295.71 Expiration Strike Call Put 1-October-2021 290 9.43 3.63 1-October-2021 300 3.60 7.82 1-October-2021 310 1.08 15.28 17-December-2021 290 17.25 11.72 17-December-2021 300 11.75 16.25 17-December-2021 310 7.62 22.05 The premium on one Microsoft December 290 put contract is: $8.875. $1,172.00. $412.50. $158.00. None of the options are correct. $11.72 × 100 = $1,172. Price quotations are per share; however, option contracts are standardized for 100 shares of the underlying stock; thus, the quoted premiums must be multiplied by 100. References Multiple Choice Difficulty: 2 Intermediate Suppose you purchase one WFM May 100 call contract at $5 and write one WFM May 105 call contract at $2. The maximum potential profit of your strategy is _________, if both options are exercised. $600 $500 $200 $300 $100 If price is $105 Payoff = ($105 $100) × 100 = $500 Profit = $500 + ($2 $5) × 100 = $200 References Multiple Choice Difficulty: 3 Challenge Suppose you purchase one WFM May 100 call contract at $5 and write one WFM May 105 call contract at $2. If, at expiration, the price of a share of WFM stock is $103, your profit would be: $500. $300. zero. $200. None of the options are correct. If price is $103 Payoff 100 = ($103 − $100) × 100 = $300 Profit = $300 + ($2 $5) × 100 = $0 References Multiple Choice Difficulty: 3 Challenge Suppose you purchase one WFM May 100 call contract at $5 and write one WFM May 105 call contract at $2. The maximum loss you could suffer from your strategy is: $200. $300. zero. $500. None of the options are correct. ($2 $5) × 100 = $300 References Multiple Choice Difficulty: 3 Challenge
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80. Award: 10.00 points 81. Award: 10.00 points 82. Award: 10.00 points 83. Award: 10.00 points Suppose you purchase one WFM May 100 call contract at $5 and write one WFM May 105 call contract at $2. What is the lowest stock price at which you can break even? $101 $102 $103 $104 None of the options are correct. x = $103. References Multiple Choice Difficulty: 3 Challenge You buy one Loews June 60 call contract and one June 60 put contract. The call premium is $5 and the put premium is $3. Your strategy is called: a short straddle. a long straddle. a horizontal straddle. a covered call. None of the options are correct. Buying both a put and a call, each with the same expiration date and exercise price, is a long straddle. References Multiple Choice Difficulty: 2 Intermediate You buy one Loews June 60 call contract and one June 60 put contract. The call premium is $5 and the put premium is $3. Your maximum loss from this position could be: $500. $300. $800. $200. None of the options are correct. ( $3 $5) × 100 = $800 References Multiple Choice Difficulty: 2 Intermediate You buy one Loews June 60 call contract and one June 60 put contract. The call premium is $5 and the put premium is $3. At expiration, you break even if the stock price is equal to: $52. $60. $68. either $52 or $68. None of the options are correct. Call: $60 + ($5) + $3 = $68 (break-even); Put: $3 + $60 + ( $5) = $52 (break-even); Thus, if price increases above $68 or decreases below $52, a profit is realized. References Multiple Choice Difficulty: 3 Challenge
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84. Award: 10.00 points 85. Award: 10.00 points 86. Award: 10.00 points 87. Award: 10.00 points The put-call parity theorem: represents the proper relationship between put and call prices. allows for arbitrage opportunities if violated. may be violated by small amounts, but not enough to earn arbitrage profits, once transaction costs are considered. All of the options are correct. None of the options are correct. The put-call parity relationship states the relationship between put and call prices, which, if violated, allows for arbitrage profits; however, these profits may disappear once transaction costs are considered. References Multiple Choice Difficulty: 2 Intermediate Some more "traditional" assets have option-like features; some of these instruments include: callable bonds, only. convertible bonds, only. warrants, only. callable bonds and convertible bonds. All of the options are correct. All of the above-mentioned instruments have option like features. References Multiple Choice Difficulty: 1 Basic Financial engineering: is the custom designing of securities or portfolios with desired patterns of exposure to the price of the underlying security, only. primarily takes place for the institutional investor, only. primarily takes places for the individual investor, only. is the custom designing of securities or portfolios with desired patterns of exposure to the price of the underlying security and primarily takes place for the institutional investor. is the custom designing of securities or portfolios with desired patterns of exposure to the price of the underlying security and primarily takes places for the individual investor. Financial engineering is the customization of new securities, primarily for institutional investors. References Multiple Choice Difficulty: 1 Basic A collar with a net outlay of approximately zero is an options strategy that: combines a put and a call to lock in a price range for a security, only. uses the gains from sale of a call to purchase a put, only. uses the gains from sale of a put to purchase a call, only. combines a put and a call to lock in a price range for a security and uses the gains from sale of a call to purchase a put. combines a put and a call to lock in a price range for a security and uses the gains from sale of a put to purchase a call. The collar brackets the value of a portfolio between two bounds. References Multiple Choice Difficulty: 1 Basic
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88. Award: 10.00 points 89. Award: 10.00 points 90. Award: 10.00 points 91. Award: 10.00 points Top Flight Stock currently sells for $53. A one-year call option with strike price of $58 sells for $10, and the risk-free interest rate is 5.5%. What is the price of a one-year put with strike price of $58? $10.00 $12.12 $16.00 $11.98 $14.13 C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $10 + $58 ÷ 1.055 − $53 = $11.98 References Multiple Choice Difficulty: 3 Challenge HighFlyer Stock currently sells for $48. A one-year call option with strike price of $55 sells for $9, and the risk-free interest rate is 6%. What is the price of a one-year put with strike price of $55? $9.00 $12.89 $16.00 $18.72 $15.60 C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $9 + ($55 ÷ 1.06) − $48 = $12.89 References Multiple Choice Difficulty: 3 Challenge ING Stock currently sells for $38. A one-year call option with strike price of $45 sells for $9, and the risk-free interest rate is 4%. What is the price of a one-year put with strike price of $45? $9.00 $12.89 $16.00 $18.72 $14.27 C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $9 + ($45 ÷ 1.04) − $38 = $14.27 References Multiple Choice Difficulty: 3 Challenge A callable bond should be priced the same as: a convertible bond. a straight bond plus a put option. a straight bond plus a call option held by the issuing firm. a straight bond plus warrants. a straight bond plus a call option held by the bondholder. A callable bond is the equivalent of a straight bond sale by the corporation and the concurrent issue of a call option by the bond buyer. References Multiple Choice Difficulty: 2 Intermediate
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92. Award: 10.00 points 93. Award: 10.00 points 94. Award: 10.00 points 95. Award: 10.00 points Asian options differ from American and European options in that: they are only sold in Asian financial markets. they never expire. their payoff is based on the average price of the underlying asset. they are only sold in Asian financial markets and they never expire. they are only sold in Asian financial markets and their payoff is based on the average price of the underlying asset. Asian options have payoffs that depend on the average price of the underlying asset during some period of time. References Multiple Choice Difficulty: 1 Basic Trading in "exotic options" takes place primarily: on the New York Stock Exchange. in the over-the-counter market. on the American Stock Exchange. in the primary marketplace. None of the options are correct. There is an active over-the-counter market for exotic options. References Multiple Choice Difficulty: 2 Intermediate Consider a one-year maturity call option and a one-year put option on the same stock, both with strike price $45. If the risk-free rate is 4%, the stock price is $48, and the put sells for $1.50, what should be the price of the call? $4.38 $5.60 $6.23 $12.26 None of the options are correct. C 0 = S 0 + P 0 X ÷ (1 + r f ) = $48 + $1.50 − ($45 ÷ 1.04) = $6.23 References Multiple Choice Difficulty: 3 Challenge Consider a one-year maturity call option and a one-year put option on the same stock, both with strike price $100. If the risk-free rate is 5%, the stock price is $103, and the put sells for $7.50, what should be the price of the call? $17.50 $15.26 $10.36 $12.26 None of the options are correct. C 0 = S 0 + P 0 X ÷ (1 + r f ) = $103 + $7.50 − ($100 ÷ 1.05) = $15.26 References Multiple Choice Difficulty: 3 Challenge
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96. Award: 10.00 points 97. Award: 10.00 points 98. Award: 10.00 points 99. Award: 10.00 points Derivative securities are also called contingent claims because: their owners may choose whether to exercise them. a large contingent of investors holds them. the writers may choose whether to exercise them. their payoffs depend on the prices of other assets. contingency management is used in adding them to portfolios. The values of derivatives depend on the values of the underlying stock, commodity, index, etc. References Multiple Choice Difficulty: 1 Basic You purchased a call option for $3.45 17 days ago. The call has a strike price of $45, and the stock is now trading for $51. If you exercise the call today, what will be your holding-period return? If you do not exercise the call today and it expires, what will be your holding-period return? 173.9%, 100% 73.9%, 100% 57.5%, 173.9% 73.9%, 57.5% 100%, 100% If the call is exercised the gross profit is $51 $45 = $6. The net profit is $6 $3.45 = $2.55. The holding period return is $2.55 ÷ $3.45 = 0.739 (73.9%). If the call is not exercised, there is no gross profit and the investor loses the full amount of the premium. The return is 100%. References Multiple Choice Difficulty: 1 Basic An option with an exercise price equal to the underlying asset's price is: worthless. in the money. at the money. out of the money. theoretically impossible. This is the definition of "at the money." The option has a market value and may increase in value if there are favorable price movements in the underlying asset before the expiration date. References Multiple Choice Difficulty: 1 Basic To the option holder, put options are worth _________ when the exercise price is higher; call options are worth _________ when the exercise price is higher. more; more more; less less; more less; less It doesn't matter—they are too risky to be included in a reasonable person's portfolio. The holder of the put would prefer to sell the asset to the writer at a higher exercise price. The holder of the call would prefer to buy the asset from the writer at a lower exercise price. References Multiple Choice Difficulty: 1 Basic
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100. Award: 10.00 points 101. Award: 10.00 points 102. Award: 10.00 points 103. Award: 10.00 points What happens to an option if the underlying stock has a 2-for-1 split? There is no change in either the exercise price or in the number of options held. The exercise price will adjust through normal market movements; the number of options will remain the same. The exercise price would become one-half of what it was, and the number of options held would double. The exercise price would double, and the number of options held would double. There is no standard rule—each corporation has its own policy. This is similar to what happens to the underlying stock. References Multiple Choice Difficulty: 1 Basic What happens to an option if the underlying stock has a 3-for-1 split? There is no change in either the exercise price or in the number of options held. The exercise price will adjust through normal market movements; the number of options will remain the same. The exercise price would become one-third of what it was, and the number of options held would triple. The exercise price would triple, and the number of options held would triple. There is no standard rule—each corporation has its own policy. This is similar to what happens to the underlying stock. References Multiple Choice Difficulty: 1 Basic Suppose that you purchased a call option on the S&P 100 Index. The option has an exercise price of 1,680, and the index is now at 1,720. What will happen when you exercise the option? You will have to pay $1,680. You will receive $1,720. You will receive $1,680. You will receive $4,000. You will have to pay $4,000. When an index option is exercised, the writer of the option pays cash to the option holder. The amount of cash equals the difference between the exercise price of the option and the value of the index. In this case, you will receive 1,720 1,680 = 40 times the $100 multiplier, or $4,000. In other words, you are implicitly buying the index for 1,680 and selling it to the call writer for 1,720. References Multiple Choice Difficulty: 2 Intermediate Suppose that you purchased a call option on the S&P 100 Index. The option has an exercise price of 1,700, and the index is now at 1,760. What will happen when you exercise the option? You will have to pay $6,000. You will receive $6,000. You will receive $1,700. You will receive $1,760. You will have to pay $7,000. When an index option is exercised, the writer of the option pays cash to the option holder. The amount of cash equals the difference between the exercise price of the option and the value of the index. In this case, you will receive 1,760 1,700 = 60 times the $100 multiplier, or $6,000. In other words, you are implicitly buying the index for 1,700 and selling it to the call writer for 1,760. References Multiple Choice Difficulty: 2 Intermediate
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104. Award: 10.00 points 105. Award: 10.00 points 106. Award: 10.00 points 107. Award: 10.00 points A stock is currently selling for $47. The price of a $50 strike call with a 6-month expiration is selling for $2.20. If the interest rate is 4%, what is the price of the put option? $5.41 $4.23 $3.36 $2.26 None of the options are correct. C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $2.20 + $50 ÷ (1.04) 0.5 − $47 = $4.23 References Multiple Choice Difficulty: 3 Challenge A stock is currently selling for $32. The price of a $30 strike call with a 6-month expiration is $3.10. If the interest rate is 3%, what is the price of the put option assuming no dividend is paid? $0.66 $1.15 $1.36 $1.56 None of the options are correct. C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $3.10 + $30 ÷ (1.03) 0.5 − 32 − 0 = $0.66 References Multiple Choice Difficulty: 3 Challenge A dividend paying stock is currently selling for $32. The price of a $30 strike call with a 6-month expiration is $3.10. If the interest rate is 3%, what is the price of the put option assuming the dividend is paid in 6 months and is $0.50? $0.66 $1.15 $1.36 $1.56 None of the options are correct. C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $3.10 + $30 ÷ (1.03) 0.5 − $32 + $0.50 ÷ (1.03) 0.5 = $1.15 References Multiple Choice Difficulty: 3 Challenge A dividend paying stock is currently selling for $47. The price of a $50 strike call with a 6 month expiration is selling for $2.20. If the interest rate is 4%, what is the price of the put option assuming a dividend is paid in 6 months and is $1.20? $5.41 $4.23 $3.36 $2.26 None of the options are correct. C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $2.20 + $50 ÷ (1.04) 0.5 − $47 + $1.20 ÷ (1.04) 0.5 = $5.41 References Multiple Choice Difficulty: 3 Challenge
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108. Award: 10.00 points A dividend paying stock is currently selling for $96. The price of a $95 strike call with a 3-month expiration is selling for $2.15. If the interest rate is 3%, what is the price of the put option assuming a dividend is paid in 3 months and is $0.80? $4.41 $3.23 $2.36 $1.24 None of the options are correct. C 0 + X ÷ (1 + r f ) = S 0 + P 0 P 0 = C 0 + X ÷ (1 + r f ) − S 0 = $2.15 + $95 ÷ (1.03) 0.25 − $96 + $0.80 ÷ (1.03) 0.25 = $1.24 References Multiple Choice Difficulty: 3 Challenge
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