a.
To draw: A payoff graph for the above said strategy at the option expiration date.
Introduction:
Payoff graph: It is supposed to be a graphical representation of potential outcomes of a strategy. The vertical axis depicts the
b.
To draw: A profit graph for the above said strategy.
Introduction:
Profit graph: It can also be called as risk graph. Profit graph is supposed to be visual depiction on possible outcomes of an options strategy on a graph. On the vertical axis, the profit/loss is depicted whereas the horizontal axis depicts the underlying stock price on expiration date.
c.
To compute: The break-even point for the above said strategy. Also, state whether the investor is bullish or bearish on the stock.
Introduction:
Bull spread: It is a concept used in the trading of options. It is supposed to be a bullish vertical spread options strategy where profit can be earned only when there is a moderate increase in the underlying asset’s price.
Bear spread: It is a concept used in the trading of options. Normally, an investor buys a contract with a high strike price and sells a contract when the strike price is low. By doing this, there is a chance to earn more profit with a decrease in price.
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- In 1973, Fischer Black and Myron Scholes developed the Black-Scholes option pricing model (OPM). (1) What assumptions underlie the OPM? (2) Write out the three equations that constitute the model. (3) According to the OPM, what is the value of a call option with the following characteristics? Stock price = 27.00 Strike price = 25.00 Time to expiration = 6 months = 0.5 years Risk-free rate = 6.0% Stock return standard deviation = 0.49arrow_forwardSuppose that you sell for 8 dollars a call option with a strike price of 45 dollars, and you sell for 13 dollars each two put options with a strike price of 55 dollars. What is the minimum stock price at the exercise date that will result in you breaking even? Don't use Excel and chatgptarrow_forwardSuppose 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?arrow_forward
- A trader creates a bear spread by selling a six-month put option with a $25 strike price for $1.51 and buying a six-month put with a $29 stir price for $4.75. At what stock price will the strategy break even ?arrow_forwardYou 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?arrow_forwardA 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 $26 at maturity?arrow_forward
- You use the Black-Scholes-Merton model for a put option on a stock. You calculate N(d1) = 0.60 and N(d2) = 0.56. a) What is the delta of the put option? b) You short 100 put options. How would you hedge your delta exposure using the underlying stock? How many shares would you need to buy or sell?arrow_forwardAn investor wants to follow a spread strategy by buying a put for 6$ with a strike price of 95$ and writing a put for 4$ with a strike price of 90$. a. Draw the graph of strategy payoffs and profits b. Find the equilibrium price of this strategy (the equilibrium price is the market price of the stock where the profit is 0) c. What is the maximum profit and loss from this strategy?arrow_forwardAn investor buys a stock if price rises 5% from the 250-day low and shorts a stock if price falls 5% from the 250-day high. What is this strategy called? Will it work if the market is efficient? Explain whyarrow_forward
- Consider a call option whose maturity date is T and strike price is K. At any time t < T, is it always the case that the call option's price must be greater than or equal to max(St – K,0), where St is the stock price at t? (Your answer cannot be more than 30 words. Answers with more than 30 words will not be graded.)arrow_forwardOne day, Alice and Bob observe the following option prices (assume no bid-ask spread and r=0): 95C@6.30, 105C@3.10, 110C@1.00. Alice says that one can make some guaranteed profit by buying one 95C, selling three 105C and buying two 110C. But Bob says he read that writing (selling) call options exposes one to the risk of unlimited loss. Draw the PNL diagram for the spread suggested by Alice to see who is correct.arrow_forwardSuppose that put options on a stock with strike prices $18 and $20 cost $2 and $3.50, respectively. How can the options be used to create a bull spread? Construct atable that shows the profit and payoff for the spread.arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning