Suppose you own a call option on a stock with a strike price of $20 that expires today. The price of the underlying stock is $15. You exercise the option and immediately sell the stock. Please show a calculation of the value of your position.
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- Suppose that a March call option to buy a share for $50 costs $2.50 and is held until March. The holder of the option will gain if the price of the stock is above 52.50 in March. True or False?Calculate the profit or loss per share of stock to an investor who buys a call option on a stock whose price is K90 but a call option exercise price if K100 if the stock price at expiration is K105. Calculate the profit or loss for a purchaser of a put option with the same exercise price and expiration?Suppose that a June call option to buy a share for $65 costs $3.5 and is held until June. Under what circumstances will the holder of the option make profit Under what circumstances will the option be exercised? Draw a diagram showing how the profit on a long position in the option depends on the stock price at the maturity of the option.
- Suppose you own a put option that gives you the right to sell 300 shares of Brad’s Drink to another investor for $28 per share anytime during the next six months. Brad’s Drink stock currently sells for $29 per share. Should you exercise the option and sell the stock to the option writer (seller) if the stock price stays at $29 per share? Why?speculator may write a put option on stock with an exercise price of $15 and earn a $3 premium only if he thought A-the stock price would rise above $18 or fall below $12. B-the stock price would stay above $15. C-the stock price would stay below $12. D-the stock price would fall below $18.You have written a call option on Walmart common stock. The option has an exercise price of $81, and Walmart’s stock currently trades at $79. The option premium is $1.60 per contract. a. How much of the option premium is due to intrinsic value versus time value? b. What is your net profit if Walmart’s stock price decreases to $77 and stays there until the option expires? c. What is your net profit on the option if Walmart’s stock price increases to $87 at expiration of the option and the option holder exercises the option?
- A collar is established by buying a share of stock for $50, buying a 6-month put option with exercise price $45, and writing a 6-month call option with exercise price $55. On the basis of the volatility of the stock, you calculate that for a strike price of $45 and expiration of 6 months, N(d1) = .60, whereas for the exercise price of $55, N(d1) = .35.a. What will be the gain or loss on the collar if the stock price increases by $1?b. What happens to the delta of the portfolio if the stock price becomes very large?c. What happens to the delta of the portfolio if the stock price becomes very small?An investor buys a stock for $40 per share and simultaneously sells a call option on the stock with an exercise price of $42 for a premium of $3 per share. Ignoring the dividends and transaction costs, what is the maximum profit the writer of this covered call can earn if the position is held to expiration?You have taken a long position in a call option on IBM common stock. The option has an exercise price of $176 and IBM’s stock currently trades at $180. The option premium is $5 per contract. What is your net profit on the option if IBM’s stock price increases to $190 at expiration of the option and you exercise the option? What is your net profit if IBM’s stock price decreases to $170?
- Suppose you own a put option that gives you the right to sell 300 shares of Brad’s Drink to another investor for $28 per share anytime during the next six months. Brad’s Drink stock currently sells for $29 per share. Should you exercise the option if the stock's price increases to $33? What would be your gain (loss) if you bought the stock at $33 and then exercised the option?In follow an Ito process with >0, a stock is worth $80 today, if the price of an option that pays the holder $2 exactly the first time the stock price reaches $200, what is the price of an option? Show all calculation.A stock price is $30. An investor buys one call option contract on the stock with a strike price of $28 and sells a call option contract on the stock with a strike price of $27. The market prices of the options are $2 and $1.7, respectively. The options have the same maturity date. Describe the investor’s position and the possible gain/loss he will get (taking into account the initial investment). Make a graph of your gain/loss.
