A stock price is $30. An investor buys one call option contract on the stock with a strike price of $28and 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.

A stock price is $30. An investor buys one call option contract on the stock with a strike price of $28and 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.

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter5: Financial Options

Section: Chapter Questions

Problem 3Q

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A trader buys a call option on a share for K2. The stock price is K25 and the strike price is K20. State the circumstances under which the trader will make a profit. State the circumstances under which the option will be exercised. Draw a diagram in support of your answers above, showing the variation of the trader’s profit with the stock price at the maturity of the option.
Call options on a stock are available with strike prices of $15, $17.5 and $20 before expiration date. The call premiums for each are $4, $2 and $0.5 respectively. Explain how the options can be used to create a butterfly spread. A. Construct a table showing how profit varies with stock price for the butterfly spread. B. Plot the profit with stock price for the butterfly spread. List the profit formula for each trend.
An investor purchases a stock for $38 and a put for $.50 with a strike price of $35. The investor sells a call for $.50 with a strike price of $40. What is the maximum profit and loss for this position? Draw the profit and loss diagram for this strategy as a function of the stock price at expiration.
Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?
A speculative investor creates a portfolio of options written on the same underlying asset. He chooses to sell a put option with a strike of $100 and sell a call option also with a strike of $100. The two options have the same expiration. a. Sketch the payoff at maturity for a seller of a put option with a strike of $100. Carefully label the axes. b. Sketch the payoff at maturity for a seller of a call option with a strike of $100. Carefully label the axes. c. Sketch the payoff at maturity for the investor who sells both a call option and a put option each with a strike of $100. Carefully label the axes. The put option price is $14, and the price of the call option is $6. d. What is the profit at maturity for the speculative investor if the underlying asset at maturity is worth $100?
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 that both a call option and a put option have been written on a stock with an exerciseprice of $40. The current stock price is $42, and the call and put premiums are $3 and $0.75,respectively. Calculate the profit to positions of both the short call and the long put with an expiration day stock price of $43.
Suppose 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).
A stock has a price of $73, which can later be $77 or $69 with equal probabilities. The options with exercise price $77 are valued at $1.53 for the call and $1.73 for the put. a. Calculate the gains/losses/returns for the stock. b. Calculate the gain/losses/returns for a covered call and protective put portfolio.
Assume that the value of a call option using the Black-Scholes model is $8.94. The interest rate is 8 percent, and the time to maturity is 90 days. The price of the underlying stock is $47.38, and the exercise price is $45. Calculate the price of a put using the put-call parity relationship.
Suppose that put options on a stock with strike prices $18 and $20 cost $2 and $3.50, respectively. How can the options be used to create a bull spread? Construct atable that shows the profit and payoff for the spread.
Suppose that a trader writes three naked put option contracts, with each contract being on 100 shares of underlying stock. The option price is $3 on each share, the time to maturity is six months, and the strike price is $60. a. Write out the formula and draw the graph for the trader's profit on each put option on 1 share of stock. b. What is the margin requirement for the trader if the current stock price is $58? C. How would the answer to (b) change if the trader is buying instead of writing the options?