ABC Inc stock is launching a new product tomorrow and a trader wishes to exploit this opportunity by holding options. The current stock price is trading at $30. The trader following the stock expects the news to cause the volatility over the next three months to be either 10% or 40%. He believes that there is a 30% chance of the first outcome and a 70% chance of the second outcome. The trader calculates the call prices for three-month options using 10% and 40% volatility. Then using the weighted-average price (from the two prices), the trader creates the implied volatilities. The output table is in the following: C Implied Volatility of the Weighted Average Price (of Columns A and B) 25.53 23.13 20.77 19.80 20.68 Strike price Call Price (calculated with 10% Vol) Call Price (calculated with 40% Vol) 24 26 6.519 4.358 6.943 5.224 28 30 32 34 2.341 0.867 0.195 0.025 0.002 3.765 2.598 1.716 1.087 0.661 22.67 24.6 36 O Discuss the characteristics of the options markets from the output table.

ABC Inc stock is launching a new product tomorrow and a trader wishes to exploit this opportunity by holding options. The current stock price is trading at $30. The trader following the stock expects the news to cause the volatility over the next three months to be either 10% or 40%. He believes that there is a 30% chance of the first outcome and a 70% chance of the second outcome. The trader calculates the call prices for three-month options using 10% and 40% volatility. Then using the weighted-average price (from the two prices), the trader creates the implied volatilities. The output table is in the following: C Implied Volatility of the Weighted Average Price (of Columns A and B) 25.53 23.13 20.77 19.80 20.68 Strike price Call Price (calculated with 10% Vol) Call Price (calculated with 40% Vol) 24 26 6.519 4.358 6.943 5.224 28 30 32 34 2.341 0.867 0.195 0.025 0.002 3.765 2.598 1.716 1.087 0.661 22.67 24.6 36 O Discuss the characteristics of the options markets from the output table.

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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Assume that the current stock price is $50 per share, that call options can be purchased with an exercise price of $60 per share, that bank loans can be obtained for a 10 percent nominal rate, and that at expiration of the option in three months, the stock will either be valued at $30 or $70. Show that it is possible to replicate the stock payoff by borrowing and buying a call option.
The current price of a non-dividend paying stock is $50. Use a two-step tree to value a European put option on the stock with a strike price of $50 that expires in 12 months. Each step is 6 months, the risk free rate is 5% per annum, and the volatility is 50%. What is the value of the option according to the two-step binomial model. Please enter your answer rounded to two decimal places (and no dollar sign).
Your broker has developed a list of firms, their betas, and the return he expects the stock to yield over the next twelve months (labeled "Expected Return"). You have estimated that the risk-free rate is 5% and the return to the market will be 12%. Assuming that CAPM is correct, which stock should you purchase? Expected Return 10.5% Delta Vanlines 1.25 13.0 % 1.60 16.0% Firm Beta Anderson, Inc. 0.90 Nathan's Bakeries Z-man Electronics O Delta Vanlines 1.90 19.0% All of the stocks, Anderson, Inc. O Nathan's Bakeries OZ-man Electronics
Suppose that you plan to invest in stock A, because you believe that stock A will appreciate in the next 6 months. The stock current price is $100, and a call option on stock A expiring in 6 months has an exercise price of $100 selling at $15 per option. And you have $7500 in hand to invest the following three strategies: A: Invest entirely in stock A. B: Invest entirely in call option on stock A. C: Buy call options the amount of calls is same as the number of shares we purchase in strategy A, and invest the remaining money in T-bills at interest rate whose annual interest rate is 10%. Suppose that the possible stock price are $90, $100, $110, and $120. (a) At expiration (after 6 months), compute the rates of return for each strategy given different possible stock prices. We don't consider the premium we’ve paid for holding call options in this case. (b) Given different stock price at expiration, which strategy would you like to choose? For example, if the stock price is $90, which…
Suppose you think WW stock is going to appreciate substantially in value over the next six months. The stock's current price is $30 and the call option expiring in six months has an exercise price, X, of $35 and is selling at a premium (option price), C, of $12. You invest $12,000 on 1,000 options (10 contracts, each for 100 shares). What is the rate of return if the stock price six months from now is $50? Show your work.
A call option is the right to buy stock at $50 a share. Currently the option has six months to expiration, the volatility of the stock (standard deviation) is 0.30, and the rate of interest is 10 percent. A) What is the value of the option according to the Black-Scholes model if the price of the stock is $45, $50, or $55? B) What is the value of the option when the price of the stock is $50 and the option expires in six months, three months, or one month? C) What is the value of the option when the price of the stock is $50 and the interest rate is 5 percent, 10 percent, or 15 percent?
The current stock price is $10. In each of the next two years, the stock price can either go up by $2 or go down by $2. The stock pays no dividends. The one-year risk-free interest rate is 5% and will remain constant during this two-year period. a) Using the Binomial Model of option pricing, calculate the price of a two-year call option on the stock with a strike price of $13. b) Using Risk Neutral valuation calculate the price of two-year put option on the stock with a strike price of $7.
The current price of a stock is $20. In 1 year, the price will be either $28 or $15. The annual risk-free rate is 7%. 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. Find the price of a call option on the stock that has a strike price is of $25 and that expires in 1 year. (Hint: Use daily compounding.) Assume 365-day year. Do not round intermediate calculations. Round your answer to the nearest cent.

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