1. An investeor buys a ratio spread of 1-year European calls. He buys 1 call option with strike price 40 and sell 2 call options with strike price 50. Option prices are (Strike price, Call option premium) = (40, 10), (50, 5) (a) Draw its profit plot. Formulas and explains regarding your plot are required. (b) 45, 55, 65. Determine the investor's profit if the end price of the underlying stock is

1. An investeor buys a ratio spread of 1-year European calls. He buys 1 call option with strike price 40 and sell 2 call options with strike price 50. Option prices are (Strike price, Call option premium) = (40, 10), (50, 5) (a) Draw its profit plot. Formulas and explains regarding your plot are required. (b) 45, 55, 65. Determine the investor's profit if the end price of the underlying stock is

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Need help solving this, please explain kn detail if possible.
Suppose that a European call option to buy a share for $ 90.00 costs a . Under what circumstances will the SELLER of the option make a profit ? \$4.00 and is held until maturity . ( DRAW the GRAPH to show ALL answers ) b . when will the option be exercised ( at what price , show on graph ) ? c . What is the Maximum profit for SELLER and at what stock price ? d . What is the Maximum loss for SELLER and at what stock price ? e . What will be profit / loss for SELLER if St is 150 ?
A4)
Sarah purchases a call of CBA with exercise price $55 and sells a call of CBA with exercise price $50, both call options have the same expiration date. a. Draw the payoff diagram for her strategy as a function of the stock price at expiration. b. Draw the profit/loss diagram for this strategy as a function of the stock price at expiration. (hint: which option has a higher premium?).
2. Calculate the put premium according to put-call parity which gives no arbitrage opportunity. Explain what transaction would you do if the put premium is below/above the put premium you calculated. European call option premium: c = $2 Stock price today: So- $30 Life of option: T=0.5 Risk-free rate for maturity T with continous compounding: r= 8% Strike price: K= Decide on the K value yourself (carefully). No dividends paid during life of option.
A trader buys a European call for $1. The strike price is $30. Draw a diagram that shows the trader’s variation in profit as a function of the stock price at expiration.
Using put-call parity, if the price of an At-the-Money Call option maturing in 1 day is $3.14, what is the price of an of an At-the-Money Put option maturing in 1 day (give an approximation)? A. $0.95 B. $2.86 C. $3.14 D.$3.26
Consider a call option selling for $4 in which the exercise price is $50. Determine the value at expiration and the profile for a buyer if the price of the underlying at expiration is $55. Determine the value at expiration and the profile for a buyer if the price of the underlying at expiration is $48. 3.Determine the value at expiration and the profit for a seller if the price of the underling at expiration is $49 4.Determine the value at expiration and the profit for a seller if the price of the underling at expiration is $52. 5. Draw the payoff and profit and loss diagram for IV indicating break even, profit/loss, premium and strike price.
A trader buys a six-month European call option and sells a six-month European put option. The options have the same underlying asset and the same strike price K. Can you identify a forward contract that has the same payoff as the trader’s combined options position? Under what circumstances does the price of the call equal the price of the put? (HINT: In answering these questions you may find it helpful to draw charts of the payoffs or profits of the two positions.)
Let C be the price of a call option that enables its holder to buy one share of a stock at an exercise price K at time t; also, let P be the price of a European put option that enables its holder to sale one share or the stock for the amount K at time t. Let S be the price of the stock at time 0. Then, assuming that interest is continuously discounted at a nominal rate r, either S+P-C=Ke-rt or there is an arbitrage opportunity. Question: How do I verify that the strategy of selling one share of stock, selling one put option, and buying one call option always results in a positive win if S+P-C>Ke-rt ?
A trader buys a call option with a strike price of $45 and a put option with a strike price of $40. Both options have the same maturity. The call costs $4 and the put costs $5. Draw a diagram showing the variation of the trader’s profit with the asset price.
An investor buys a European call option at a price of 7.6 yuan. The stock price is 52 yuan and the strike price is 55 yuan. Under what circumstances will the investor make a profit ? Under what circumstances will the option be executed ? Draw a diagram of the relationship between investor profitability and stock price at maturity.

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