A one-month European put option on a non-dividend-paying stock is currently selling for $2.50. The stock price is $47, the strike price is $50, and the risk-free interest rate is 6% per annum. What opportunities, if any, are there for an arbitrageur? no opportunities; the put is fairly priced. an arbitrage strategy exists that could generate profit with a present value of at least $0.25. An arbitrageur should lend $49.50 for one month, buy the stock, and write the put option An arbitrageur should borrow $47.00 for one month, sell the stock, and write the put option

A one-month European put option on a non-dividend-paying stock is currently selling for $2.50. The stock price is $47, the strike price is $50, and the risk-free interest rate is 6% per annum. What opportunities, if any, are there for an arbitrageur? no opportunities; the put is fairly priced. an arbitrage strategy exists that could generate profit with a present value of at least $0.25. An arbitrageur should lend $49.50 for one month, buy the stock, and write the put option An arbitrageur should borrow $47.00 for one month, sell the stock, and write the put option

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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Optival’s stock is currently trading at $60 per share with a historical volatility of 20%. The risk-free rate is 4%. Consider a European call and put option on Optival’s stock with an exercise price of $55 that expires in 2 years. Use excel or a similar program to determine the option price using the Black-Scholes formula. (a): What is the value the European call and put option on Optival’s stock with a strike price of $60? (b): To the nearest cent, how much does the option value change for the following adjustments to the input values: ∆ in Call Value ∆ in Put Value ↑ stock price by $1 to $61 ↑ strike price by $1 to $56 ↑ the rF by 1% to 5% ↑ volatility by 1% to 21% ↑ time to maturity by 1 yr (c): Why does the value of the call increase by less than $1 when the stock price increases by $1? (d): To the nearest percent and holding all else constant, how high would the risk-free rate need to be for a 1 year increase in time to maturity to have a negative impact on the value of…
Suppose that a European call option to buy a share for $ 90.00 costs a . Under what circumstances will the SELLER of the option make a profit ? \$4.00 and is held until maturity . ( DRAW the GRAPH to show ALL answers ) b . when will the option be exercised ( at what price , show on graph ) ? c . What is the Maximum profit for SELLER and at what stock price ? d . What is the Maximum loss for SELLER and at what stock price ? e . What will be profit / loss for SELLER if St is 150 ?
The share price of your favourite company is currently traded at a price of £80 and interest is compounded continuously at rate 3.7% per year. Assume that the share evolves according to a discrete time LogNormal process with time measured in years, 0.15 and volatility o = 0.24 drift µ . You decide to buy a European call option with a strike price of £84 and an expiration date of two years from now. What is the no-arbitrage price for this option? State your answer to the nearest pence. Do not enter the pound sign. =
Consider a European call on Amazon Stock (AMZN) that expires in one period. The current stock price is $100, the strike price is $120, and the risk-free rate is 5%. Assume AMZN stock will either go up to $140 or down to $80. Construct a replicating portfolio using shares of AMZN stock and a position in a risk-free asset ... what is the value of the call option? Call Option Price = $4.84 Call Option Price = $2.95 Call Option Price = $7.93 Call Option Price = $12.04
You think that there is an arbitrage opportunity on the market. The current stock price of Wesley corp. is $20 per share. A one- year put option on Wesley corp. with a strike price of $18 sells for $3.33, while the identical call sells for $7. The one-year risk- free interest rate is 8%. Assuming that the put option is fairly priced, compute the fair price of the call option and explain what you must do to exploit this arbitrage opportunity and what will be your gain.
The price of a stock, which pays no dividends, is $30 and the strike price of a three-year European call option on the stock is $27. 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. Question 12Answer a. $8.76 b. $8.42 c. $8.57 d. $8.70
The risk-free rate is 8% per annum with continuous compounding. The price of stock CPU is $30. CPU currently does not pay a dividend. You use a two-step tree to price a European put on CPU with a strike price of $32. The option expires in six months. If you estimate that u=1.1 and d=0.9, what is the price of your put? A.$1.50 B.$2.24 C.$1.88 D.$2.56
The spot price of a non-dividend paying stock is recorded as ₺100 at the close of the day. You estimate that this price is equally likely to go up by 11.1% or go down by 10% every two months and observe that the continuously compounded annual risk-free rate is 20% per year across all maturities. Use a multistep binomial tree together with the risk-neutral valuation approach to compute the theoretical price of a European put option written on this stock with a strike price of ₺80 and exactly six months until expiration
Suppose that the invester of GMO has an extra cash reserveof $700,000 to invest. The interest rate is 1.49% per year in the United States and 6.47% per year in Mexico. Currently, the spotexchange rate is 19.780 Pesos per dollar and the one-year forwardrate is €19.790 per dollar. The investor does not wishto bear any exchange risk. Assess how he can construct an arbitrage portfolio based on your calculation.
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
Suppose that a stock price is currently 49 dollars, and it is known that one month from now, the price will be either 8 percent higher or 8 percent lower. Find the value of an American call option on the stock that expires one month from now, and has a strike price of 51 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 7 percent.

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