CONNECT WITH LEARNSMART FOR BODIE: ESSE
CONNECT WITH LEARNSMART FOR BODIE: ESSE
11th Edition
ISBN: 2819440196246
Author: Bodie
Publisher: MCG
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Chapter 15, Problem 24PS

A put option with strike price 3 00 on the Acme options exchange sells for $ 2 . To your amazement, a put on the firm with the same expiration selling on the Apex options exchange but with strike price $ 62 also sells for $ 2 . If you plan to hold the options position until expiration, devise a zero-net-investment arbitrage strategy to exploit the pricing anomaly. Draw the profit diagram at expiration for your position. LO 15 1

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The stock price of Google is $32. The price of an American call option with strike price $32 and a six-month expiration date is $5 and the price of the corresponding Amertican put option (same maturity and expiration date) is $6. The risk-free interest rate is 5%. Are these prices compatible with the absence of arbitrage opportunities? Why? O1. No, because the put-call parity relationship suggests that ct - Pt = St - K exp(-Ro (T-t)) and this is not satisfied in this case. O II. Yes, because the price of the American put option is greater than the price of the American call option violating the inequality conditions defining the put-call parity relationship. O II. No, because the put-call parity relationship for American options suggests that St - Ks t - Pt s St - K exp(-Ro (T-t)). O V.It depends on whether the stock pays dividends or not.
The hedge ratio of an at-the-money call option on IBM is 0.36. The hedge ratio of an at-the-money put option is -0.64. What is the hedge ratio of an at-the-money straddle position on IBM? (Negative answer should be indicated by a minus sign. Round your answe to 2 decimal places.) Hedge ratio
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.
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What Is Arbitrage Trading? [Episode 559]; Author: Option Alpha;https://www.youtube.com/watch?v=pqn3bQvexp0;License: Standard Youtube License