A call option pays off if the stock price at maturity is higher than the strike price and 0 payoff if the stock price at maturity is lower than the strike price
If the stock price ends up at $32
Payoff from 40 strike long call = 0
Payoff from 30 strike long call = 32-30 = $2
Payoff from two 35 strike short call = 0
Total payoff = $2
Highest payoff
Highest payoff
Payoff | ||||
Stock price | $40 strike long call | $30 strike long call | Two $35 strike short call | Total payoff |
25 | 0 | 0 | 0 | 0 |
26 | 0 | 0 | 0 | 0 |
27 | 0 | 0 | 0 | 0 |
28 | 0 | 0 | 0 | 0 |
29 | 0 | 0 | 0 | 0 |
30 | 0 | 0 | 0 | 0 |
31 | 0 | 1 | 0 | 1 |
32 | 0 | 2 | 0 | 2 |
33 | 0 | 3 | 0 | 3 |
34 | 0 | 4 | 0 | 4 |
35 | 0 | 5 | 0 | 5 |
36 | 0 | 6 | -2 | 4 |
37 | 0 | 7 | -4 | 3 |
38 | 0 | 8 | -6 | 2 |
39 | 0 | 9 | -8 | 1 |
40 | 0 | 10 | -10 | 0 |
41 | 1 | 11 | -12 | 0 |
42 | 2 | 12 | -14 | 0 |
43 | 3 | 13 | -16 | 0 |
44 | 4 | 14 | -18 | 0 |
45 | 5 | 15 | -20 | 0 |
Highest payoff from this position is $5
Lowest payoff from this position is $0
The expectations are that the stock price at maturity would stay between $30 and $40 ( Since there is a positive payoff)
Consider three call options on the same underlying stock and same expiration date. You buy the...
4- Consider two call options on the same underlying stock and same expiration date. You buy the call with X=40, and sell the call with X=50. What is the payoff from your position if the stock prices ends at $32? What is the highest payoff from this position? What is the lowest payoff from this position? When would you engage in such a position? PS: In all questions above X denotes the exercise price of the options, C=call premium, P=put...
You simultaneously write a put and buy a call, both with strike prices of $50, naked, i.e., without any position in the underlying stock. What are the expiration date payoffs to this position for stock prices of $40, $45, $50, $55, and $60? (Negative amounts should be indicated by a minus sign. Leave no cells blank- be certain to enter "0" wherever required. Omit the "S" sign in your response.) Stock Call Payoff Total Payof Price $40 $ $45 $...
Please explain the answer or steps. Thank you. 21. You write a call option with X S55 and buy a call with X $65. The options are on the same stock and have the same expiration date. One of the calls sells for $3; the other sells for $9. What is the break-even point for this strategy? A) $55 B) $60 CS61 (Ans: Higher the strike, lower the price of the call. Because S55 strike pays over [55 to infinity]...
6. The following table shows the premiums of European call and put options having the same underlying stock, the same time to expiration but different strike prices: StrikeCall Premium Put Premium $20 $23 $25 $3.59 $2.45 $1.89 $2.64 $4.36 $5.70 You use the above call and put options to construct an asymmetric butterfly spread with the following characteristics (i) The maximum payoff of 6 is attained when the stock price at expiration is 23 (ii) The payoff is strictly positive...
Microsoft (MSFT) + IMSETI Underlying stock price = $71.75 Expiration Strike Call Put June 16, 2017 70 2.02 0.24 June 16, 2017 72 0.67 0.90 June 16, 2017 74 0.132.37 70 July 7, 2017 July 7, 2017 July 7, 2017 72 2.400.58 1.15 1.32 0.42 2.59 74 Refer to Figure 15.1, which lists the prices of various Microsoft options. Use the data in the figure to calculate the payoff and the profit/loss for investments in each of the following July...
9. Derivatives | Three CALL options on a stock have the same expiration date and strike prices of $50, $55, and $60. The market prices are $3, $5, and $8, respectively. Explain how a butterfly spread can be created. Construct a table showing the profit from the strategy. What is the largest profit for this strategy at maturity?
g) European call with a strike price of $40 costs $7. European put with the same strike price and expiration date costs $6. Assume that you buy two calls and one put (strap strategy). Sketch the graph and write down functions of payoff and profit h) Consider a stock with a price of $50 and there is European put option on that stock with the strike of $55 and premium of $4. Assume that you buy 1/3 of a stock...
3. (10 pts) For each k e [0, 1,2,..., 301 the symbol S(k) denotes the price of the stock at time k. A European call option with strike 90 and expiration n- 30 costs 15. A European put option with strike 100 and expiration 30 costs 11. Both options have the same stock as their underlying security. What is the price of the security whose payoff structure is 7S (30) 630, if S(30) 100, S(30)-30, if 90 S(30) S 100,...
Suppose you buy 100 shares of Google stock which has a current price of $1,265.13 a share. You want to ensure that you do not lose more than $200 a share. Which of the following option strategies would allow you to do this? A. A covered call B. A naked call C. A protective put D. You cannot ensure that you will not have losses with stocks Suppose I buy 100 shares of AMD and want to limit my losses...
3. Consider two European put options with the same expiration dates and the same strike prices. The underlying assets of the two options are different. One option is for stock A whose current price is $50 and has the volatility of 30%. The other is for stock B whose current price is $45 and has the volatility of 25%. Both stock A and B will pay no dividends. The price of put A is always higher than the price of...