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Problem 4. Consider the following arbitrage-free market [ 1 1 1 So = (1,c), D = 140 110 80 (a) (5 points) How many are

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Problem 4. Consider the following arbitrage-free market [ 1 1 1 So = (1,c), D = 140 110 80 (a) (5 points) How many are the primary assets of the market and how many are the states of the world?Is the market complete? (b) (6 points) If Co = ? and Po = are arbitrage-free prices for a call and a put option with exercise price K = 100 respectively. Find c. (c) (6 points) If Co = 50 is an arbitrage-free price for a call option with exercise price K = 70. Find c. (d) (8 points) If = 10 is an arbitrage-free price for a contingent claim with payoff X = (15, 12,9) at time T. Find c. = Problem 4. Consider the following arbitrage-free market [ 1 1 1 So = (1,c), D = 140 110 80 (a) (5 points) How many are the primary assets of the market and how many are the states of the world?Is the market complete? (b) (6 points) If Co = ? and Po = are arbitrage-free prices for a call and a put option with exercise price K = 100 respectively. Find c. (c) (6 points) If Co = 50 is an arbitrage-free price for a call option with exercise price K = 70. Find c. (d) (8 points) If = 10 is an arbitrage-free price for a contingent claim with payoff X = (15, 12,9) at time T. Find c. =

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