The common stock of the R.U.I.T. Corporation has boon trading in a narrow price range for the past month, and you are convinced it is going to break far out of that range in the next three months. You do not know whether it will go up or down, however. The current price of the stock is
a. What would be a simple options strategy to exploit your conviction about the stock price’s future movements?
b. How far would the price have to move in either direction for you to make a profit on your initial investment?
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Essentials Of Investments
- 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 6 months. You do not know whether it will go up or down, however. The current price of the stock is $85 per share, and the price of a 6 month call option at an exercise price of $85 is $8.00. Required: a. If the semiannual risk-free interest rate is 4%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of $85? (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? Complete this question by entering your answers in the tabs below. Required A Required B If the semiannual risk-free interest rate is 4%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price…arrow_forwardThe common stock of the XYZ Co. has been trading in a narrow range around $40 per share for months, and you believe it is going to stay in that range for the next 3 months. The price of a 3-month put option with an exercise price of $40 is $3, and a call with the same expiration date and exercise price sells for $4. 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? O Buy the call, sell the put; lend the present value of $40. O Sell the call, buy the put; lend the present value of $40. O Buy the call, sell the put; borrow the present value of $40. O Sell the call, buy the put; borrow the present value of $40.arrow_forwardYou would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $109 at year- end. XYZ currently sells for $109. Over the next year the stock price will increase by 12% or decrease by 12%. The T-bill rate is 6%. Unfortunately, no put options are traded on XYZ Co. a. Suppose the desired put option were traded. How much would it cost to purchase? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Cost to purchase b. What would have been the cost of the protective put portfolio? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Cost of the protective put portfolio c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 109? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put. (Do not round…arrow_forward
- The common stock of the CGI Inc. has been trading in a narrow range around $35 per share for months, and you believe it is going to stay in that range for the next three months. The price of a three-month put option with an exercise price of $35 is $2, and a call with the same expiration date and exercise price sells for $3. Suppose you write a strap ( = write 2 calls and write 1 put with the same strike price) and the stock price winds up to be $37 at contract expiration. What was your net profit on the strap? A. $200 B. $300 C. $400 D. $500 E. $700arrow_forwardMomo, a fast-growing company, will make an earnings announcement three months from now. But you do not know whether it will be positive or negative (i.e., the stock price will go up or down). The current price of the stock is $30 per share. A three-month call with an exercise price of $30 costs $5. A put with the same exercise price and expiration date costs $5. a. What would be a simple options strategy to bet on the stock price volatility?arrow_forwardStock XYZ is currently trading at $75, and you are very bearish about the stock (you believe that the stock price is going to drop within the next two months). What action should you take, as a speculator, to gain from your expectation: short a call or put option and why?arrow_forward
- A share of stock with a beta of 0.70 now sells for $45. Investors expect the stock to pay a year-end dividend of $4. The T-bill rate is 5%, and the market risk premium is 8%. If the stock is perceived to be fairly priced today, what must be investors’ expectation of the price of the stock at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.)arrow_forwardYou would like to be holding a protective put position on the stock of XYZ Co. to lock in a guaranteed minimum value of $100 at year-end. XYZ currently sells for $100. Over the next year the stock price will increase by 10% or decrease by 10%. The T-bill rate is 5%. Unfortunately, no put options are traded on XYZ Co.a. Suppose the desired put option were traded. How much would it cost to purchase?b. What would have been the cost of the protective put portfolio?c. What portfolio position in stock and T-bills will ensure you a payoff equal to the payoff that would be provided by a protective put with X = 100? Show that the payoff to this portfolio and the cost of establishing the portfolio match those of the desired protective put.arrow_forwardStanton Company stock is trading for 50 in a two‑time period environment, so that each relevant time period is 6 months. The stock might increase by exactly 20% in just one period or perhaps in both periods. Of course, the stock might not increase in either period. If the stock price does not increase in a given period, it will decline by 16.67 percent in that particular period. One-year options with an exercise price equal to 60 are trading on this stock. The annual riskless rate of return equals 0. a. What is the value of a put in this environment? b. What is the probability (risk-neutral probability) implied in this framework that the Stanton Company stock price will exceed 40 when options expire?arrow_forward
- Suppose you believe that BVC Inc.’s stock price is going to decline from its current level of P92.50 sometime during the next 5 months. For P350.25 you could buy a 5-month put option giving you the right to sell 100 shares at a price of P94.00 per share. If you bought a 100-share contract for P350.25 and BVCl Inc.’s stock price actually dropped to P75.00, what would be your net profit (after transactions costs but before taxes)? Format: 1,111.11arrow_forwardThe current stock price of Johnson & Johnson (J&J) is $56, and the stock does not pay dividends. The instantaneous risk-free rate of return is 6%. The instantaneous standard deviation of J&J's stock is 25%. You want to purchase a put option on this stock with an exercise price of $50 and an expiration date 70 days from now. Assume 365 days in a year Using Black - Scholes, the put option should be worth today. Multiple Choice $0.36 $6.94 $6.58 $0.29arrow_forwardYou are cautiously bullish on the common stock of the Wildwood Corporation over the next several months. The current price of the stock is $64 per share. You want to establish a bullish money spread to help limit the cost of your option position. You find the following option quotes: Wildwoood Corp Underlying Stock price: $64.00 Expiration Strike Call Put June 59.00 9.90 2.70 June 64.00 5.20 4.40 June 69.00 2.70 8.90 Suppose you establish a bullish money spread with the puts. In June the stock's price turns out to be $66. Ignoring commissions, the net profit on your position is Multiple Choice $320 $200 Noxtarrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
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