A stock is trading at $69. You believe there is a 60% chance the price of the stock will increase by 20% over the next 3 months. You believe there is a 10% chance the stock will drop by 5%, and you think there is only 30% chance of a major drop in price of 60%. At-the-money 3-month puts are available at a cost of $840 per contract. What is the expected dollar profit for a writer of a naked put at the end of 3 months?
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- A stock is trading at $70. You believe there is a 70% chance the price of the stock will increase by 10% over the next 3 months. You believe there is a 10% chance the stock will drop by 10%, and you think there is only a 20% chance of a major drop in price of 40%. At-the-money 3-month puts are available at a cost of $850 per contract. What is the expected dollar profit for a writer of a naked put at the end of 3 months?You just purchased a share of stock in ABC Corporation, at a cost of $1,400. Your broker has indicated that there’s a 25% probability that the stock will end the year at a price of $1,000, a 60% probability that it will end at $2,000 is .60, and a 15% probability that it will end at $5,000. Calculate the mean, variance, and standard deviation for theinvestment’s end-of-year anticipated dollar value. In your view, is this a wise investment? Why or why not?You expect the price of a stock to increase by 20% in the following year, with a standard deviation of 30%. The stock currently trades at $50. You pursue a strategy of buying 100 shares of the stock on margin. The initial margin requirement is 50%. The annual interest on margin debt is 5% per year. (a) What is the expected return and standard deviation of your strategy? (assume there is no margin call.) (b) The maintenance margin is 30%. Six months after you establish your trade, you receive a margin call. What is the price of the stock when this happens?
- 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. $700Momo, 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. Buy three month call option @Strike price $30 ; pay premium $5 Buy three month put option @Strike price $30 ; pay premium $5 Total premium paid =$5+$5 = $10 b. Construct a table and a graph to show the profit/loss (P/L) from the option strategy.A year ago, you have short-sold 4000 shares of Stock Z, which was trading at $150 per share. After a year, Stock Z pays a yearly dividend of $4 per share, and the interest rate is 10%. What price would you get a margin call if the maintenance margin is 30%?
- The stock of Suncor Energy is currently trading for $36 per share. An investor expects the stock price to move up in the next two months, and decided to invest $7, 200 in this stock. If the investor invests all the money in the stock, how much is the profit or loss if the stock price in two months turns out to be i) 40 or ii) 32? If the investor invests all the money in call options with a strike price of $35 and price of the call is $2 per share, how much is the profit or loss if the stock price in two months turns out to be i) 40 or ii) 32?Stanton 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?The common stock of the P.U.T.T. Corporation has been 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 $100 per share, and the price of a 3-month call option at an exercise price of $100 is $10.a. If the risk-free interest rate is 10% per year, what must be the price of a 3-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?
- You recently purchased a stock that is expected to earn 33 percent in a booming economy, 13 percent in a normal economy, and lose 40 percent in a recessionary economy. There is a 15 percent probability of a boom and a 60 percent chance of a normal economy. What is standard deviation on this stock?Tesla is currently trading at $1009 per share. In the past calendar year, standard deviation of returns is 3.5 %. Suppose you buy 1500 shares today. Based on Value-at-Risk, what is the maximal loss at 99 % confidence interval for the next 10 days?You believe the price of Freeze Frame Co. stock is going to fall, so you short 1,000 shares at a price of $57. The initial margin is 55 percent. Ignore dividends. a. Construct the equity balance sheet for the original trade b. Construct equity balance sheets for a stock price of $52 per share c. What is your effective annual return if you cover your short position at this price in five months? d, What is your margin?