a
To draw: A payoff graph to depict the portfolio in which a call option is written at strike price $195 and a put option is written at an exercise price of $190 in the month of January.
Introduction:
Payoff graph: It is supposed to be a graphical representation of potential outcomes of a strategy. The vertical axis depicts the profit/loss on option expiration day while the horizontal axis depicts the underlying asset price on expiration day.
b.
To compute: The profit or loss on the position where IBM sells an option at $198 and $205 on expiry date and after effect of selling at $160.
Introduction:
Strangle strategy: It is a situation where the investor has control over both call option and put option of the same asset. These options have different strike prices with the same expiry date. An investor makes use of this strategy when he/she is not sure about the increase or decrease in price.
c.
To evaluate: The break-even point of investment at two stock prices.
Introduction:
Break-even point on investment: This specifies when an investment will start generating a positive return. This can be computed easily with simple mathematics.
d.
To analyze: The kind of betting the investor is making and the belief of investor to justify the stock price.
Introduction:
Strangle strategy: It is a situation where the investor has control over both call option and put option of the same asset. These options have different strike prices with the same expiry date. An investor makes use of this strategy when he/she is not sure about the increase or decrease in price.
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- A call option with X = $50 on a stock currently priced at S = $55 is selling for $10. Using a volatility estimate of σ = .30, you find that N(d1 ) = .6 and N(d2 ) = .5. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than .30? Explain.arrow_forwardUse the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $34, (3) time to expiration is 6 months, (4) annualized risk-free rate is 7%, and (5) variance of stock return is 0.09. Do not round intermediate calculations. Round your answer to the nearest cent.arrow_forwardUse the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $38, (3) time to expiration is 7 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.36.arrow_forward
- You are evaluating a put option based on the following information: P = Ke-H•N(-d,) – S-N(-d,) Stock price, So Exercise price, k = RM 11 = RM 10 = 0.10 Maturity, T= 90 days = 0.25 Standard deviation, o = 0.5 Interest rate, r Calculate the fair value of the put based on Black-Scholes pricing model. Cumulative normal distribution table is provided at the back.arrow_forwardUse the Black-Scholes Model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $35, (3) time toexpiration is 4 months, (4) annualized risk-free rate is 5%, and (5) varianceof stock return is 0.25.arrow_forwardAssume the following inputs for a call option: (1) current stock price is $31, (2) strike price is $35, (3) time to expiration is 2 months, (4) annualized risk-free rate is 3%, and (5) variance of stock return is 0.25. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.arrow_forward
- Consider the following portfolio. You write a put option with exercise price 90 and buy a put option on the same stock with the same expiration date with exercise price 95.a. Plot the value of the portfolio at the expiration date of the options.b. On the same graph, plot the profit of the portfolio. Which option must cost more?arrow_forwardAssume the following inputs for a call option: (1) current stock price is $23, (2) strike price is $28, (3) time to expiration is 5 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.3. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.arrow_forwardGiven the following information, predict the put option's new price after the stock's volatility changes. Initial put option price = $6 Initial volatility = 25% Vega = 13 New volatility = 18% (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂rarrow_forward
- Put together a Black–Scholes option calculator in Excel to answer the following.(a) What is the call-option value withS0 = $45, K = $48, r = 6%, T = 15 months,and volatility = 40%?(b) What is the put-option value withS0 = $60, K = $65, r = 6%, T = 18 months,and volatility = 20%?(c) What is the put-option value withS0 = $38, K = $40, r = 6%, T = 3 months,and volatility = 60%?(d) What is the call-option value withS0 = $100, K = $95, r = 8%, T = 3 years,and volatility = 40%?arrow_forwardConsider a certain butterfly spread on American International Group stock (AIG): this is a portfolio that is long one call at $50, long one call at $70, and short 2 calls at $60. Assume expiration of all options s at the same timet=T. (@) Graph the payoff of this portfolio at expiration T as a function of the stock price ST of AIG. (b) If today the calls cost $13.10, $5.00, and $1.00 for the strikes at 50, 60, and 70, respectively, what will be the profit or loss (PnL) from buying this spread if the stock turns out to be trading at S5 at time T2 at $35? Assume the risk-free rate is 0%,arrow_forwardA call option with X = $55 on a stock priced at S = $60 is sells for $12. Using a volatility estimate of σ = 0.35, you find that N(d1) = 0.7163 and N(d2) = 0.6543. The risk-free interest rate is zero. Is the implied volatility based on the option price more or less than 0.35?arrow_forward
- Intermediate Financial Management (MindTap Course...FinanceISBN:9781337395083Author:Eugene F. Brigham, Phillip R. DavesPublisher:Cengage Learning