g) max(0,40-Price) + max(0,Price-40)*2 - 14 - 6
h) (Price - 50)/3 + max(0,(55 - Price))*2/3 - 4*2/3
i) max(0, (Price-55))/2 + 30 - min (Price, 55)/2 - 5
g) European call with a strike price of $40 costs $7. European put with the same...
Assume the following premia: Strike $950 Call $120.405 93.809 84.470 71.802 51.873 Put $51.777 74.201 1000 1020 84.470 101.214 1050 1107 137.167 I 1) Suppose you invest in the S&P stock index for $1000, buy a 950-strike put, and sell a 1050- strike call. Draw a profit diagram for this position. What is the net option premium? 2) Here is a quote from an investment website about an investment strategy using options: One strategy investors apply is a "synthetic stock."...
You purchase a European put option on XYZ stock with strike price 50. What is the payoff to the option if XYZ stock is trading at 48 on the expiration day? You purchase a 1-year European call option on ABC stock with strike price 100. The option premium is $10. The effective annual interest rate is 10%, so that 100 dollars lent for 1 year will return 110 dollars. What is the PROFIT if ABC stock is trading at 111...
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...
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,...
Question 7: Consider a European call option and a European put option on a non dividend-paying stock. The price of the stock is $100 and the strike price of both the call and the put is $103, set to expire in 1 year. Given that the price of the European call option is $10.57 and the risk-free rate is 5%, what is the price of the European put option via put-call parity? Question 8: Suppose a trader buys a call...
A 6-month European call option with a strike price of $25 costs $2.24. A 6-month European put option with a strike price of $20 costs $1.31. a. Explain how a strangle can be created from these two options. b. Construct a table that shows the profit from the strategy. c. For what range of stock prices would the strategy lead to a profit.
A call option on a stock with a strike price of $60 costs $8. A put option on the same stock with the same strike price costs $6. They both expire in 1 year. (a) How can these two options be used to create a straddle? (b) What is the initial investment? (c) Construct a table showing how the payoff and profit varies with ST in 1 year, for the straddle that you constructed. Whenever you need to refer to...
A 1-year European put option on a stock with strike price of $50 is quoted as $7; a 1-year European call option on the same stock with strike price $30 is quoted as $5. Suppose you long one put and short one call (one option is on 100 share). a) Draw the payoff diagram for your put position and call position. (5 points) b) After 1-year, stock price turns out to be $45. What is your total payoff? What is...
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]...
. Consider a call and a put option, both with strike price of $30 and 3 months to expiration. The call trades at $5, the put price is $6, the interest rate is 0, and the price of the underlying stock is $29. (1) Suppose the stock does not pay dividends. Is there an arbitrage? If so, write down the sequence of trades and calculate the arbitrage profit you realize in 3 months. If not, explain why not. (2) Suppose...