You use the Black-Scholes-Merton model for a put option on a stock. You calculate N(d1) = 0.60 and N(d2) = 0.56. a) What is the delta of the put option? b) You short 100 put options. How would you hedge your delta exposure using the underlying stock? How many shares would you need to buy or sell?
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You use the Black-Scholes-Merton model for a put option on a stock. You calculate N(d1) = 0.60 and N(d2) = 0.56. a) What is the delta of the put option? b) You short 100 put options. How would you hedge your delta exposure using the underlying stock? How many shares would you need to buy or sell?
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- You use the Black-Scholes-Merton model for a put option on a stock. You calculate N(d1) = 0.60 and N(d2) = 0.56. a) What is the delta of the put option? Solution for A = -0.40 b) You short 100 put options. How would you hedge your delta exposure using the underlying stock? How many shares would you need to buy or sell?Based on Torelli’s scenarios, what is the mean return of GMS stock? What is the standard deviation of the return of GMS stock? 2. After a cursory examination of the put option prices, Torelli suspects that a good strategy is to buy one put option A for each share of GMS stock purchased. What are the mean and standard deviation of return for this strategy?Using just a call option (which controls 100 shares) with a delta of 0.5 and the underlying stock, how might you put on a delta neutral position that is long volatility?
- You write a put option with X = 100 and buy a put with X = 110. The puts are on the same stock and have the same expiration date.a. Draw the payoff graph for this strategy.b. Draw the profit graph for this strategy.c. If the underlying stock has positive beta, does this portfolio have positive or negative beta?You have a portfolio of options on the same underlying as follows. Each option controls 100 shares. Long 1 call ∆ ±0.5 Short 5 calls ∆ ±0.8 Short 2 puts ∆ ±0.4 b) A traded option exists with a ∆ 0.45. This option controls 100 shares. What position in this traded option would make your portfolio delta neutral?Using just a put option (which controls 100 shares) with a delta of -0.75 and a position in the underlying stock, how might you put on a delta neutral position that is long volatility?
- You have a portfolio of options on the same underlying as follows. Each option controls 100 shares. Long 1 call ∆ ±0.5 Short 5 calls ∆ ±0.8 Short 2 puts ∆ ±0.4 c) Explain how volatility skew would affect a trader who buys a bull call spread.Which of the following is not a determinant of the value of a call option in the Black-Scholes model? A. The interest rate. B. The exercise price of the stock. C. The price of the underlying stock. D. The beta of the underlying stock. Need typed answer only.Please give answer within 45 minutesSuppose that put options on a stock with strike prices $66 and $75 cost $3 and $5, respectively. How can the options be used to create (a) a bull spread and (b) a bear spread? For what range of future stock prices will the bear spread strategy be profitable. Is the profit for the bear spread strategy limited? If so, how much and at what price range? At what price range will you exercise the long position from the bear spread strategy? At what range of future stock prices will the bear spread strategy lead to a loss? What is the maximum loss that you can incur from bear spread strategy and at what price range?
- A butterfly spread is a position in three options on the same underlying stock with different strikes. An investor buys one call with a strike K1 = 22, sells two calls with a strike K2 = 24 and buys one call with a strike K3 = 26. What is the payoff of the butterfly spread, if the stock price equals $26 at maturity?Suppose you construct a strategy based on options on a stock that is currently selling for $100. The strategy is as follows: Buy one call option having an exercise price of $95. Sell two calls having an exercise price of $100. Buy one call option having an exercise price of $105. All of the options are written on the same stock and all have the same expiration date. Compute the payoff (the dollars you receive) from this strategy at the expiration date for each of the following alternative stocks prices: $90, $95, $98, $100, $102, $105, and $110. What additional information would be required to determine whether your strategy had been profitable? What is the name of this strategy?A non – dividend – paying stock with a current price of $52, the strike price is $50, the risk free interest rate is 12% pa, the volatility is 30% pa, and the time to maturity is 3 months? a) Calculate the price of a call option on this stock b) What is the price of a put option price on this stock? c) Is the put-call parity of these options hold?