Consider an economy with two dates (t=0,1) and three states at t=1. The following three assets...
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Consider an economy with two dates (t=0,1) and three states at t=1. The following three assets are traded: A Asset A has a payoff of x=(2,0,0) Asset B has a payoff of XB=(1,0,3) Asset C has a payoff of x=(2,2,4) at t 1. In other words, asset B pays off $1 in state 1, $0 in state 2, and $3 in state 3 at t=1. (a) Suppose the prices of asset A, B and C at t=0 are PA-1.90, PB-3.20 and pc-6.60 respectively. Explain whether there is an arbitrage. [6p] (b) (c) A put option on asset C with exercise price E=3 is traded. What is the price of this option at t=0? [3p] Design a portfolio with payoff (0,0,1) at t=1. What is the price of this portfolio at t=0? [4p] Consider an economy with two dates (t=0,1) and three states at t=1. The following three assets are traded: A Asset A has a payoff of x=(2,0,0) Asset B has a payoff of XB=(1,0,3) Asset C has a payoff of x=(2,2,4) at t 1. In other words, asset B pays off $1 in state 1, $0 in state 2, and $3 in state 3 at t=1. (a) Suppose the prices of asset A, B and C at t=0 are PA-1.90, PB-3.20 and pc-6.60 respectively. Explain whether there is an arbitrage. [6p] (b) (c) A put option on asset C with exercise price E=3 is traded. What is the price of this option at t=0? [3p] Design a portfolio with payoff (0,0,1) at t=1. What is the price of this portfolio at t=0? [4p]
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Solution a No there is no arbitrage The prices of the assets at t0 are ... View the full answer
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