Consider the following market model. A(0) = 10,A(1) = 12, S(0) = 30, and S(1) has...
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Consider the following market model. A(0) = 10,A(1) = 12, S(0) = 30, and S(1) has the following distribution S(1) = {40, with probability P p 30, with probability 1- p, where 0 < p < 1. 1. Argue that the model is arbitrage-free. 2. Consider an option maturing at t = 1 with the strike price K = 35. Prove that this option can be replicated and give its replicating portfolio. 3. Calculate the fair" price of this option (the price of this option such that the market ---constituted by stock, bonds, and this option--- is arbitrage free).\ Consider the following market model. A(0) = 10,A(1) = 12, S(0) = 30, and S(1) has the following distribution S(1) = {40, with probability P p 30, with probability 1- p, where 0 < p < 1. 1. Argue that the model is arbitrage-free. 2. Consider an option maturing at t = 1 with the strike price K = 35. Prove that this option can be replicated and give its replicating portfolio. 3. Calculate the fair" price of this option (the price of this option such that the market ---constituted by stock, bonds, and this option--- is arbitrage free).\
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To argue that the model is arbitragefree we need to show that there are no opportunities for riskfree profits In an arbitragefree market it is not pos... View the full answer
Related Book For
Understanding Basic Statistics
ISBN: 978-1111827021
6th edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
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