You've decided that index put options are attractive to sell. For simplicity, assume the current S&P500 index level is 100 and the risk-free rate is 1%. You sell one S&P500 index European put option with a strike of 96 and a one-month maturity. The implied volatility of the option is 23% and the price is $1.048 (i.e., you receive this amount in cash from the option sale). You believe that the annual expected return of the S&P500 index will be 6% with a volatility of 18%. What is your expected return from your sale? 49.45%

You've decided that index put options are attractive to sell. For simplicity, assume the current S&P500 index level is 100 and the risk-free rate is 1%. You sell one S&P500 index European put option with a strike of 96 and a one-month maturity. The implied volatility of the option is 23% and the price is $1.048 (i.e., you receive this amount in cash from the option sale). You believe that the annual expected return of the S&P500 index will be 6% with a volatility of 18%. What is your expected return from your sale? 49.45%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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If you were to write a call option on XYZ (with a strike price of $100) AND also write a put option on XYZ (with a strike price of $100), each within six months maturity, what type of bet are you making? 1.XYZ will go up 2.XYZ will go down 3. Volatility of XYZ will increase 4. Volatility of XYZ will decrease
You are attempting to value a call option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $136 and a 50% chance of decreasing to $80. The risk-free rate of interest is 10%. Calculate the call option's value using the two-state stock price model. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. > Answer is complete but not entirely correct. Value of the call option $ 12.73 x
The price of a European call option on a non dividend paying stock with a strike price of $79 is $8. The stock price is $75, the continuously compounded risk-free rate (all maturities) is 4.50% and the time to maturity is one year. a. What is the price of a one year European put option on the stock with a strike price of $79? (Hint: Use the Put-Call Parity Formula).
Suppose a one-year European put option on a stock has an exercise price of $30 and oneyear European call option on the same stock has the same exercise price of $30. The call is worth 3$ and the put is worth 2$. If the one-year interest rate is 1.5%, what is the price of the underlying stock, assuming no arbitrage opportunity?
Optival’s stock is currently trading at $60 per share with a historical volatility of 20%. The risk-free rate is 4%. Consider a European call and put option on Optival’s stock with an exercise price of $55 that expires in 2 years. Use excel or a similar program to determine the option price using the Black-Scholes formula. (a): What is the value the European call and put option on Optival’s stock with a strike price of $60? (b): To the nearest cent, how much does the option value change for the following adjustments to the input values: ∆ in Call Value ∆ in Put Value ↑ stock price by $1 to $61 ↑ strike price by $1 to $56 ↑ the rF by 1% to 5% ↑ volatility by 1% to 21% ↑ time to maturity by 1 yr (c): Why does the value of the call increase by less than $1 when the stock price increases by $1? (d): To the nearest percent and holding all else constant, how high would the risk-free rate need to be for a 1 year increase in time to maturity to have a negative impact on the value of…
Suppose you buy a one-year European call option on Apple with an exercise price of $100 and sell a one-year put option with the same exercise price. The current stock price is $100, and the interest rate is 10%. Draw a position diagram showing the payoffs from your investments. How much will the combined position cost you?
Suppose you buy GM put for P3, which matures in two months with a strike price of P60. GM is currently trading at P62.75. If the stock price of GM falls to P57 on the expiration date of the option, the rate of return of your put is at what amount?
Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset ... what is the value of the call option? Call Option Price = $4.84 Call Option Price = $2.95 Call Option Price = $7.93 Call Option Price = $12.04
You are attempting to value a put option with an exercise price of $108 and one year to expiration. The underlying stock pays no dividends, its current price is $108, and you believe it has a 50% chance of increasing to $130 and a 50% chance of decreasing to $86. The risk-free rate of interest is 10%. Calculate the value of a put option with exercise price $108. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. X Answer is complete but not entirely correct. Value of a put option $ 107.50
Consider a put option whose underlying asset is a stock index with 6 months to expiration and a strike price of $1000. Suppose the risk-free interest rate for the six months is 2% and that the option’s premium is $74.20. (a) Find the future premium value in six months. (b) What is the buyer’s profit is the index spot price is $1100? (c) What is the buyer’s profit is the index spot price is $900 Only typed answer
Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset … what is the value of the call option?
A European call that will expire in one year is currently trading for $3. Assume the risk-free rate (based on continuous compounding) is 5%, the underlying stock price is $60 and the strike price is $55. a. Is there an arbitrage opportunity? b. Describe exactly what a trader should do to take advantage of the arbitrage opportunity assuming it exists. c. Determine the present value of the profit that the trader can earn assuming you identify an arbitrage opportunity. Use at least four decimal places for those questions that require a numerical answer.

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