The price of a European call option on a non-dividend-paying stock with a strike price of $14.50 is $1.55. The underlying stock's price is $14.00, the continuously compounded risk-free rate (all maturities) is 6.5% and the time to maturity is nine months. What is the price of a one-year European put option on the stock with a strike price of $13? $1.42 $1.36 O $2.09 $1.55

The price of a European call option on a non-dividend-paying stock with a strike price of $14.50 is $1.55. The underlying stock's price is $14.00, the continuously compounded risk-free rate (all maturities) is 6.5% and the time to maturity is nine months. What is the price of a one-year European put option on the stock with a strike price of $13? $1.42 $1.36 O $2.09 $1.55

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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Problem 1. Assume that the interest rate is 5%, contimuously compounded annually, and consider call and put options of both American and European style expiring in 6 months on non-dividend paying stock. For each of the following scenarios, check if you can find an arbitrage opportunity and, if you can, describe it: (i) The strike price of a European put option is $3 and the option is traded at $4. (ii) The shares are traded at $3 and the American call option is traded at $3.20.
Aa.1 The current price of stock XYZ is 100. In one year, the stock price will either be 120 or 80. The annually compounded risk-free interest rate is 10%. i. Calculate the no-arbitrage price of an at-the-money European put option on XYZ expiring in one year. ii. Suppose that an equivalent call option on XYZ is also trading in the market at a price of 10. Determine if there is a mis-pricing. If there is a mis-pricing, demonstrate how you would take advantage of the arbitrage opportunity.
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 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 spot price of a share of XYZ stock is $100. The annual risk-free continuously compounded interest rate is 0.07, and the stock pays no dividends. The annualized standard deviation of the continuously compounded stock return is 0.2. Find the price of a European call option on the stock with strike price $110 and that matures in 4 years.
You enter into a 1-year futures contract on a non-dividend paying stock when the stock price is $100 and the risk-free interest rate is 5% per annum. Six months later the stock price has fallen to $90, and the interest rate is 4% per annum. Which of the answers below is closest to the change in the futures price? Assume discrete compounding and discounting. Question 6Answer a. -12.34 b. -11.40 c. -10.00 d. -13.20
The one-year futures price on a particular stock-index portfolio is 2,620, the stock index currently is 2,600, the one-year risk-free interest rate is 2.0%, and the year-end dividend that will be paid on a $2,600 investment in the index portfolio is $25. Required: By how much is the contract mispriced? (Input the amount as positive value.) The futures price is its "proper" or parity value.
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
The current price of a non-dividend paying stock is $30. Use a two-step tree to value a European put 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 896, and u = 1.1 and d = 0.9. O $2.24 $2.44 $2.64 $2.84

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