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) 20N(0.025)-19.7N(0.175)

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) 20N(0.025)-19.7N(0.175)

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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The price of a stock, which pays no dividends, is $30 and the strike price of a two-year European call option on the stock is $25. The risk-free rate is 8% (continuously compounded). Which of the following is a precise lower bound for the option such that there are arbitrage opportunities if the price is below the lower bound and no arbitrage opportunities if it is above the lower bound? Round your answer to 2 decimal places. a. $8.42 b. $8.76 c. $8.57 d. $8.70
The price of a stock, which pays no dividends, is $64 and the strike price of a one year European call option on the stock is $60. The risk-free rate is 3% (continuously compounded). What is the lower bound for the call option? A. $5.98 B. $5.77 C. $4.12 D. $2.17
A stock is selling today for $110. The stock has an annual volatility of 64 percent and theannual 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 ofthe 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
The following 1-year European call options are available on the stock of Vega International, whose stock is trading at €72.50: Strike Price Call Price (€) (€) 60 8.00 75 3.00 90 2.00 What is the maximum profit realised at maturity from a long butterfly spread created from these call options? Assume a risk-free rate of 5%.
Without using the Black‐Scholes model, compute the price of a European put option on a non‐dividend‐paying stock with the strike price is $70 when the stock price is $73, the risk‐free interest rate is 10% pa, the volatility is 40% pa, and the time to maturity is 6 months?
b. What is a lower bound for the price of a nine-month European put option on a non-dividendpaying stock when the stock price is $65, the strike price is $69, and the risk-free interest rate is5% per annum? c. What is a lower bound for the price of a nine-month European call option on a non-dividendpaying stock when the stock price is $75, the strike price is $70, and the risk-free interest rate is8% per annum?
When the non-dividend paying stock price is $20, the strike price is $20, the risk-free rate is 5%, the volatility is 20% and the time to maturity is 3 months which of the following is the price of a European put option on the stock? N(.) denotes standard normal distribution values. O 20N(-0.1)-20N(-0.2) 20N(-0.2)-20N(-0.1) O 19.7N(-0.2)-20N(-0.1) O None of these O 19.7N(-0.1)-20N (-0.2)
A two-year European call option is written on a stock whose current price is $20. The stock will pay a dividend of $1 three months from now and another $1 one and half years from now. The strike price is $18, and the riskfree interest rate is 5%. Then the tightest lower bound for the call option value is, 6. $1.8976 $1.535 $1.194 a. b. с. d. $1.7976. Six-month call options with strike prices of $25 and $30 cost $4 and $3 respectively. Then the maximum possible gain and loss from a bear spread 7. formed using the two calls are respectively $10 and infinity $10 and $10 $1 and $4 $4 and $1 $10 and $5 а. b. c. d. е. Twelve-month European put options with strike prices of $35, $30, and $25 cost $7, $3.5, and $2 respectively. Then the maximum possible gain and loss from a butterfly spread formed using the three puts are respectively 8. a. $4.5 and infinity b. $4.5 and $0.5 $0.5 and $4.5 $3 and $0.5 $10 and $4.5 c. d. е. 9. A three-month call with a strike price of $20 costs $1. A three-month…
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.
5) A certain non-dividend paying stock is trading at $50 and its volatility is o = 25%. The risk-free interest rate is 1.25% per anuum with continuous compounding. a) Use a two-step tree (At = .5) to compute the value of 1-year European put option with strike price of $50? b) What would it be the price if the put were to be American?
Suppose that an American put option with a strike price of $70.0 and maturity of 4.0 months costs $13.2. The underlying stock price equals 55. The continuously compounded risk-free rate is 8.5 percent per year. What is the potential arbitrage profit from buying a put option on one share of stock? 1.9783 no arbitrage profit available 3.8117 4.2693 1.80
What is the upper and lower bound for the price of an eight-month European call option on a non-dividend paying stock when the stock price is $45, the strike/exercise price is $37 and the risk-free interest rate is 3% per annum?

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