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%.

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%.

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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Suppose that the price of a stock today is at $25. For a strike price of K = $24 a 3-month European call option on that stock is quoted with a price of $2, and a 3-month European put option on the same stock is quoted at $1.5 Assume that the risk-free rate is 10% 3. per annum. (a) Does the put-call parity hold?
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.
Suppose a stock is priced at $75 at expiriry and the annual interest rate is 8 %. Determine the profit at expirity for the following one-year european call options: A $ 70-strike call with premium $ 9.91 ? A $ 75-strike call with premium $ 6.03 A $ 80-strike call with premium $ 4.64 ? ?
A 4-month European call option on a stock (with dividend) is currently selling for RM5. The price of the stock is RM64 and the strike price is RM60. The risk-free interest rate is 12% p.a. A dividend of RM0.80 is expected one month from now. Is there any arbitrage opportunities? Show your working. How much is the profit/loss if at maturity the price of the stock is higher than the strike price? How much is the profit/loss if at maturity the price of the stock is lower than the strike price?
Give typing answer with explanation and conclusion What is the lower bound for the price of a 7-month European call option on a non-dividend-paying stock when the stock price is $44.02, the strike price is $39, and the risk-free interest rate is 1.3% per annum? Report your answer in dollars and cents.
A non-dividend-paying stock, currently priced at GH¢125 per share, can either go up by GH¢25or down GH¢25 in a year. Consider a one-year European call option with a strike price ofGH¢135. The continuously-compounded risk-free interest rate is 8%. Use a one-period binomialmodel to determine the current price of the call option.
The price of a (non-dividend-paying) stock is $100 and the price of a 3-month European put option on the stock with a strike price of $100 is $5. The risk-free rate is 6% per annum. What is the price of a 3-month European call option with a strike price of $100?
What is the price of a European CALL option that is expected to pay a dividend of $2 in three months with the following parameters? s0 = $40d = $2 in 3 monthsk = $42 r = 10%sigma = 20%T = 0.5 years (required precision 0.01 +/- 0.01)
What is the price of a European put option on a non-dividend paying stock when thestock price is K69, the strike price is K70, the risk-free rate is 5% per annum, thevolatility is 35% per annum, and the time to maturity is 6 months?
What is the value of d, of a European call option on a non-dividend-paying stock when the stock price is $60, the strike price is $59, the risk-free interest rate is 5% per annum the volatility (Standard Deviation) is 30% per annum, and the time to maturity is three months? c=SN(d,)-Ke-N(₂) where and O√T OA02704 OB0.2167 *√T OC.0.3561 OD.0.1204
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)
The price of a (non-dividend) stock is $21 and the price of a 3-month European call option on the stock with a strike price of $20 is $2. The risk-free rate is 4% per annum with continuous compounding. What is the price of a 3-month European put option with a strike price of $20?

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