Problem 3. Consider a call option with 45-dollar strike price and a put option with 135-dollar strike price. Both options are on the same stock and have the same maturity date. If the stock price at expiration is S, then the Payoff for the call option is 12 dollars. If at the expiration date, the stock price is S + 1, then what is the Payoff of the put option?
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- A. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55? B. What type of option is this and how? C. With a delta of -.56, is this option ITM, ATM or OTM and how?An option is trading at $3.45. If it has a delta of .78, what would the price of the option be if the underlying increases by $.75? A. What would the price of the option be if the underlying decreases by $.55? B. What makes this a call option? C. With a delta of .78, is this option ITM, ATM or OTM and how?1. An option is trading at $5.26, has a delta of .52, and a gamma of .11. what would the delta of the option be if the underlying increases by $.75? What would the delta of the option be if the underlying decreases by $1.05? Explain.
- 4. Consider an exchange option. Suppose the initial prices (time 0) of the two stocks are S =S2 = 100 and a =0.40,. Suppose also that the returns on the stocks are uncorrelated. Assume no dividends and final maturity of the option is T = 2 year: (a) Using the closed-form expressions for the price of these options, identify the price of the exchange option when o = 0, a2 =0.20, ag =0.40, and @2 =0.60. (b) Is there a trend in the price? Intuitively, why is this the case?Suppose you write the following put option (1 option, not 1 contract containing 100 options). What is the payoff and profit at expiration if the stock price is $75? Put Strike Symbol 80 ABC210621C00040000 Last 3.32 a. payoff is -5.00; profit is 1.68 X b. payoff is -5.00; profit is 3.32 c. payoff is 0; profit is 0 d. payoff is -5.00; profit is -1.68 e. payoff is 0; profit is -3.32 Chg 1.473. A stock S(0) 100 will go up to 105 or down to 95 in one time step (time T). Suppose eT 1.025. What is the present value of a put option with strike K 99 and expiry T? = =
- parts c, d, e Suppose an investor is considering a multi option strategy on a stock with a currentprice of $100. The following strategy is called a strangle. The investor purchases a call optionwith a strike price of $110 for a premium of $5 and purchases a put option with a strike priceof $90 for a premium of $3.a) Draw a payout diagram for the strangle option strategy at expiration.b) Determine the breakeven points for the strangle option strategy.c) Suppose the stock price at expiration is $120. What is the profit for the strangle optionstrategy?d) Suppose the stock price at expiration is $85. What is the profit for the strangle optionstrategy?e) What is the investor speculating on with her option strategy?4. Consider a stock with a current price of S0 = $60. The value of the stock at time t = 1 can take one of two values: S1,u = $100, S1,d = $40. The price of a risk-free bond that pays out $1 in period t = 1 is $0.90. (a) Using a one-step binomial tree, write down the possible payoffs of a put option on stock S with strike K = $60 and maturity t = 1. (b) What is the price of this put option? (c) What is the price of a call option with strike K = $60 and maturity t = 1? Please use put-call parity to find the call price.Assume 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?
- Consider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option XLabel the following for this diagram: a. Name of options payoff b. Identify whether positive or negative premium c. Identify breakeven point d. What is the profit or loss when stock price is S60 at maturity e. Suppose you have this options position, should you exercise your right (if any) assuming that the stock price is $60 at maturity? Option Payoffs and Profits Long put $40 $20 $0 Option Payoff Option Profit Exerche Price $20 S40 $20 $40 S60 $80. Stock Price At Maturity Payoff and ProfitA PUT and a CALL option are written on a stock with a strikeprice of $60. The options are held until expiration. Suppose the stock price at expiration is $75. Call premium is $16 and Put premium is $3. The CALL option will ___ because the call is ___. But the PUT option will ___ because the put is ___, with a TIME VALUE of ___.a) Be exercised; in-the-money; not be exercised; out-of-the-money; zerob) not be exercised; out-of-the-money; be exercised; in-the-money; zeroc) Be exercised; in-the-money; not be exercised; out-of-the-money; 1d) Be exercised; in-the-money; be exercised; in-the-money; zeroe) None of the above is correct