3 The current price of a non-dividend paying stock is $100. Everythree months, it is expected to go up or down by 10% or 6%,respectively. The risk-free rate is 4% per year with continuouscompounding. Compute the price of a European call option withstrike price $98 and maturity six months written on the stock.15.68Consider a non-dividend paying asset that trades for $96. Overthe next six months, analysts expect that it could go up to $114or down to $86. Compute the price of an at-the-moneyEuropean put option expiring in six months. Assume that therisk-free rate is 6% per year with continuous compounding.Express your answer with two decimals.7.28

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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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A European call option and put option on a stock both have a strike price of $20 and an expiration date in nine months. Both sell for $3. The risk-free interest rate is 15% per annum, the current stock price is $19.75, and a $1 dividend is expected in one month. Identify the arbitrage opportunity open to a trader.
A 6-month European call option on a dividend-paying stock is cur- rently selling for $1.75. The stock price is $58.56, the strike price is $55, and a dividend of $1.20 is expected in 2 months and 5 months. The risk-free interest rate is 3% per annum for all maturities. (a) What opportunities are there for an arbitrageur? Detail your answer. (b) In this market a European put option with same strike price and maturity is also available for trading. Derive the no-arbitrage $3. price of the put option if the call option has a price of c = %3D (c) The European put option in the above section is trading at $3. What opportunities are there for an arbitrageur? Detail your answer.
The current price of a non-dividend paying stock is $30. Use a two-step tree to value a European call option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, the risk free rate is 8% per year with continuous compounding. What is the option price when u = 1.1 and d = 0.9? O $1.29 O $1.69 O $1.49 O None of these O $1.89 ◄ Previous Next ▸
A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. a. Calculate the fair price for a 1 year European call option with an exercise price of $95. b. Calculate how much the current stock price would need to change for the purchaser of the call option to break even in one year. c. Calculate the fair price for a 1 year European put option with an exercise price of $95. d. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. e. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). f. Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work using excel
A stock is selling today for $110. The stock has an annual volatility of 64 percent and the annual risk-free rate is 7 percent. c. Calculate the fair price for a 1 year European put option with an exercise price of $95. d. Calculate how much the current stock price would need to change for the purchaser of the put option to break even in one year. e. Calculate the level of volatility that would make a $95 call option sell for $30. (Use Goal Seek or Solver). f. Calculate the level of volatility that would make a $95 put option sell for $8. (Use Goal Seek or Solver). Please show work using excel
A one-month European call option on a non-dividend-paying stock is currently selling for $1. The stock price is $47, the strike price is $50, and the risk-free rate is 6% per annum (continuously compounded). What is the time value of a one-month European put on the same stock with the same strike price? A. $3.00 B. $3.75 C. $0.75 D. $0.00
The current price of a non-dividend paying stock is $100. Every three months, it is expected to go up or down by 9% or 5%, respectively. The risk-free rate is 4% per year with continuous compounding. Compute the price of a European call option with strike price $98 and maturity six months written on the stock.
The current price of a non-dividend-paying stock is$57.14and you expect the stock price to either go up by a factor of 1.152 or down by a factor of 0.868 over the next 0.5 years. A European call option on the stock has a strike price of$57and expires in 0.5 years. The risk-free rate is6%(annual, continuously compounded). 1. What is the option payoff if the stock price goes up? 2. What is the risk-neutral probability of an up movement?3.What is the value of the option?
When the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 6% per year with continuous compounding, the volatility is 30% and the time to maturity is 3 months which of the following is the price of a European call option on the stock? 19.7N(0.175)-20N (0.025) 19.7N(0.025)-20N (0.175) 20N(0.175)-19.7N(0.025) O 20N(0.025)-19.7N(0.175)
Suppose that an American put option with a strike price of $155.5 and maturity of 12.0 months costs $11.0. The underlying stock price equals 143. The continuously compounded risk-free rate is 6.5 percent per year. What is the potential arbitrage profit from buying a put option on one share of stock? O 12.401 1.5 no arbitrage profit available 11.943 1.6783
The current price of a non-dividend paying stock is $30. Use a two-step tree to value a put option on the stock with a strike price of $32 that expires in 6 months. Each step is 3 months, and in each step the stock price either moves up by 10% or moves down by 10%. Suppose that the risk free rate is 8% per annum with continuous compounding. 1) What should be the EUROPEAN put option price today? 2) If the option was an AMERICAN put option, what should be the price today? 3) If the volatility was given as 30%, how would the AMERICAN put option price change? Volatility is 30%,
The current price of a non-dividend paying stock is $60. Use a two-step tree to value an American put option on the stock with a strike price of $66 that expires in 2 years. Each step is 12 months, the risk free rate is 5% per annum, and the volatility is 30%. Which of the following is the closest to the option price? O $8.91 O $11.41 O $9.91 O $12.41

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