Suppose the following for European options:Stock price $943-month call options with strike price $973-month put option with strike price $981-year risk-free rate is 3%.The put option is trading ot $5 and there is an identical call option that is trading for $4. The arbitrage gain thatcan be made is equal to:O a. $2.00b. $0.27Oc. $3.00O d. $1.27O e $227

Here, Stock Price is $94 3 month call option strike price is $97 3 month put option strike price is…

Suppose the following for European options: Stock price $94 3-month call options with strike price $97 3-month put option with strike price $98 l-year risk-free rate is 3%. The put option is trading at $5 and there is an identical call option that is trading for $4. The arbitrage gain that can be made is equal to: O a. $2.00 b. $0.27 Oc. $3.00 Od $1.27 O $2.27

Suppose the following for European options: Stock price $94 3-month call options with strike price $97 3-month put option with strike price $98 l-year risk-free rate is 3%. The put option is trading at $5 and there is an identical call option that is trading for $4. The arbitrage gain that can be made is equal to: O a. $2.00 b. $0.27 Oc. $3.00 Od $1.27 O $2.27

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.
Give typing answer with explanation and conclusion 5. A European call option on Home Depot stock has a strike price of $160 and expires in 0.9 years. Home Depot stock has a current market price of $165.99 and the risk-free rate is 4%. What must be the minimum price of the option?
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
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%.
European plain vanilla call options with strikes 30 and 35 on the same non- dividend paying asset with spot price $ 35 are trading for $ 11.50 and $ 7, respectively. Does arbitrage exist, and if so, how do you take advantage of it?
2. Calculate the put premium according to put-call parity which gives no arbitrage opportunity. Explain what transaction would you do if the put premium is below/above the put premium you calculated. European call option premium: c = $2 Stock price today: So- $30 Life of option: T=0.5 Risk-free rate for maturity T with continous compounding: r= 8% Strike price: K= Decide on the K value yourself (carefully). No dividends paid during life of option.
1. Black-Scholes. A European call style option is made for a security currently trading at $ 55 per share with volatility .45. The term is 6 months and the strike price is $ 50. The prevailing no-risk interest rate is 3%. What should the price per share be for the option?
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
Q.3 Determine the risk-neutral value for a European put option (for a FLB (First Local Bank) share) that expires in eight months. The strike price is R500 and the current price is R650. The interest rate is 11%, and the volatility of the security is 0.026.
You use a forward binominal tree to price options on a futures contract. You are given: i) The period is 1 year ii) The volatility of the futures price is 30% iii) The initial futures price is 100 iv) The continuously compounded risk-free rate is 3% Calculate the price of a one-year 110-strike European call option on the futures contract. A. 8.68 B 9.13 C 10.32 D 11.54 E 12.06
(a) The table below gives information about European options with a maturity date of 6 months. Type Of option Strike Price Call 65 Call 58 Put 65 Premium 5 8 4 (i) Devise the payoff profile of the hedging strategy from the above for an investor betting on an increase in the stock price and calculate the payoff if the stock price increases to $66 after 6 months. (8 marks) (ii) Suppose that another investor expects a big stock price movement but is not sure of the direction. She however bets that the downward movement is more likely. Devise the corresponding trading strategy and calculate the payoff if the stock price is $55 after 6 months. (8 marks) (b) By analysing the pay off profiles of a protective put strategy and a straddle, discuss in what ways these strategies shield the investor from potential losses.
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…

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