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.
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- Assume a stock with an option with the information as follows. • Stock purchased price was $113.• Call option on the stock was purchased at $4. • Call option has strike price at $115.• the stock price is $117on expiration date Please explain the Call Options Payoff Diagrams below, why it plot like this (please explain step by step) . Thank you for your answeringRefer to the stock options on Microsoft in the Figure 2.10. Suppose you buy a November expiration call option on 100 shares with the excise price of $140. Required: a-1. If the stock price at option expiration is $144, will you exercise your call?a-2. What is the net profit/loss on your position? (Input the amount as a positive value.)a-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) b-1. Would you exercise the call if you had bought the November call with the exercise price $135?b-2. What is the net profit/loss on your position? (Input the amount as a positive value.)b-3. What is the rate of return on your position? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)c-1. What if you had bought the November put with exercise price $140 instead? Would you exercise the put at a stock price of $140?c-2. What is the rate of return on your position? (Negative…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?
- A call option on a stock trading at $58 has an exercise price of $47. The call option is _____ Check all that apply A. in the money B. out of the money C. at the moneyAssume a stock is selling for GH¢48.50 with options available at 40, 50, and 60 strike prices.The 50 call option price is at 2.75.a. What is the intrinsic value of the 50 call?b. Is the 50 call in the money?c. Are the 40 and 60 call options in the money?Saved a. You have just purchased the options listed below. Based on the information given, indicate whether the option is in the money, out of the money, or at the money, whether you would exercise the option if it were expiring today, what the dollar profit would be, and what the percentage return would be. (Enter "O" if there is no profit or return from not exercising the option. Round your answer to 2 decimal places.) Today's Stock In/Out of the Company Option Strike Price Money? (Click to select) Premium Exercise? Profit Return eBook АВС Call 10 $10.26 1.06 (Click to select) v АВС Put 10 $10.26 0.91 (Click to select) v Print (Click to select) ABC Call 25 $23.93 1.01 (Click to select) v АВС Put 25 $23.93 In the money (Click to select) v eferences 2.21 Out of the money b. Now suppose that time has passed and the stocks' prices have changed as indicated in the table below. Recalculate your answers to part a. In/Out of the Money? (Click to select) Today's Stock Company Option Strike…
- Assume the stock’s future prices of stock A and stock B as the following distribution State Future Price Stock A Future price Stock B 1 $10 $7 2 $8 $9 If the time 1 price of stock A is $6, and the time 1 price of stock B is $5. And C1 represents the time 1 price of claim on state 1, C2 represents the time 1 price of claim on state 2 Use the information about stock prices and payoffs to Find the time 1 price C1 and C2. Find the risk–free rate of return, obtained in this market.A stock with a current market price of $50 has an associated put option priced at $6.5. This put option has an exercise price of $48. The put option has an intrinsic value of ______ and a time value of ______. Select one: a. $0; $4.5 b. -$2; $8.5 c. $2; $4.5 d. $2; $6.5 e. $0; $6.5Q.20 The risk manager of a large investment bank is reviewing the bank's investments in options contracts. He is particularly interested in call options contracts on shares of Hamilton Invest that the bank bought a few months ago. Hamilton Invest just unexpectedly announced that they would pay a USD 3 dividend per share in the sixth and twelfth months. The risk manager is concerned with the impact of dividends on the option's price. The risk- free rate is 5%, and the option has the following characteristics: A By how much will the price of the options change after the announcement of the dividends? Assume that N(d,) before and after the announcement of the dividend is 0.7654 and N(d₂) before and after the announcement of the dividend is 0.5489? B Strike price Expiration Underlying's Price Annual volatility The price of the option will increase by USD 3.32 USD 140 13 months USD 151 35% The price of the option will decrease by USD 3.32
- You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock = $74 price Exercise price = $70 Risk-free rate = Option maturity = 4 months Standard deviation of annual stock returns 4.4% per year, compounded continuously Call price Put price = 62% per yearA 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.3. Suppose that a June put option to sell a share for $60 costs $4 and is held until June. (a) short position) make a profit? Under what circumstances will the seller of the option (i.e., the party with a (b) Under what circumstances will the option be exercised? (c) depends on the stock price at the maturity of the option. Draw a diagram showing how the profit from a short position in the option