Fundamentals Of Corporate Finance, 9th Edition
9th Edition
ISBN: 9781260052220
Author: Richard Brealey; Stewart Myers; Alan Marcus
Publisher: McGraw-Hill Education
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Chapter 23, Problem 14QP
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To discuss: The inferences from this instance.
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Consider two put options on different stocks. The table below reports the relevant information for both options:
Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium?
A.Put option Y B.Put option X
Use the data in the figure 20.1 and calculate thepayoff and the profits for investments in each ofthe following January expiration options, assumingthat the stock price on the expiration date is $125.a. Call option, X=$120b. Put option, X=$120c. Call option, X=$125d. Put option, X=$125e. Call option, X=$130f. Put option, X=$130
10.29. Calculate the intrinsic value and time value from the mid market (average of bid and ask) prices for the
September call options in Table 1.2. Do the same for the September put options in Table 1.3. Assume in
each case that the current mid market stock price is $316.00.
Chapter 23 Solutions
Fundamentals Of Corporate Finance, 9th Edition
Ch. 23 - Prob. 1QPCh. 23 - Prob. 2QPCh. 23 - Prob. 3QPCh. 23 - Prob. 4QPCh. 23 - Prob. 5QPCh. 23 - Prob. 6QPCh. 23 - Prob. 7QPCh. 23 - Prob. 8QPCh. 23 - Prob. 9QPCh. 23 - Prob. 10QP
Ch. 23 - Prob. 11QPCh. 23 - Prob. 12QPCh. 23 - Prob. 13QPCh. 23 - Prob. 14QPCh. 23 - Prob. 15QPCh. 23 - Prob. 16QPCh. 23 - Prob. 17QPCh. 23 - Prob. 18QPCh. 23 - Prob. 22QPCh. 23 - Prob. 23QPCh. 23 - Prob. 24QPCh. 23 - Prob. 25QPCh. 23 - Prob. 26QPCh. 23 - Prob. 27QPCh. 23 - Prob. 28QPCh. 23 - Prob. 29QPCh. 23 - Prob. 30QPCh. 23 - Prob. 31QP
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- Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265arrow_forwardUse the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26arrow_forwardWhich of the following positions in options benefit if the underlying stock price increases? Assume the options have several months remaining until the exercise date. a. Short position in call and long position in put b. Short position in both call and put c. Long position in a put d. Long position in call and short position in put e. Short position in a call f. Short position in a put g. Long position in a callarrow_forward
- You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock $72 price Exercise price = $70 Risk-free rate = deviation of Option maturity = 4 months Standard annual stock returns = Call price Put price 4.3% per year, compounded continuously = 61% per yeararrow_forwardYou are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock = $74 price Exercise price = $70 Risk-free rate = Option maturity = 4 months Standard deviation of annual stock returns 4.4% per year, compounded continuously Call price Put price = 62% per yeararrow_forwardYou are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock = $86 price Exercise price = $85 Risk-free rate = Option maturity = 4 months Standard deviation of 5% per year, compounded continuously annual stock returns = 62% per yeararrow_forward
- The following information is given about an Option on a stock: S(0)=$31, X=$34, rf=9%, variance (sigma squared)=20%, T=182.5 days, Dividend $1.75 in 45 days (1) Calculate the price of a European put option using the Black-Scholes pricing model (show all workings including d1, d2, N(d1), N(d2)) (2) Calculate the price of the corresponding European call option (hint: put call parity) (3) Suppose you feel that the put option is overpriced. What strategy should you use to exploit the apparent mispricing? (4) The market has entered a state of significant volatility, and you believe the implied volatility is incorrect. You believe it should be 10% higher. What trade would you undertake to exploit this arbitragearrow_forwardSuppose that call options on a stock with strike prices $100 and $106 cost $8 and $5, respectively. How can the options be (the profits from option positions and the total profit).arrow_forwardConsider the following options portfolio. You write an August expiration call option on IBM with exercise price $150. You write an August IBM put option with exercise price $145.a. Graph the payoff of this portfolio at option expiration as a function of IBM’s stock price at that time.b. What will be the profit/loss on this position if IBM is selling at $153 on the option expiration date? What if IBM is selling at $160? c. At what two stock prices will you just break even on your investment?d. What kind of “bet” is this investor making; that is, what must this investor believe about IBM’s stock price to justify this position?arrow_forward
- Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po P1 21 75 65 75 75 75 55 150 50 150 50 150 110 150 115 150 60 300 A B с с 20 75 P2 a. Rate of return b. Rate of return Required: Calculate the first-period rates of return on the following indexes of the three stocks (t=0 to t= 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. 22 % %arrow_forwardExcel Online Structured Activity: Black-Scholes Model Assume the following inputs for a call option: (1) current stock price is $29, (2) strike price is $36, (3) time to expiration is 5 months, (4) annualized risk-free rate is 4%, and (5) variance of stock return is 0.31. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.arrow_forwardNot Excel! Turn back to Figure 20.1 , which lists prices of various IBM options. Use the data in the figure tocalculate the payoff and the profits for investments in each of the following January expirationoptions, assuming that the stock price on the expiration date is $125.a. Call option, X 5 $120.b. Put option, X 5 $120.c. Call option, X 5 $125.d. Put option, X 5 $125.e. Call option, X 5 $130.f. Put option, X 5 $130. Not Excel!arrow_forward
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