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In a one-period model, the share price starts at $12 and in one years time is either $24 or $6. Simple interest on USD is

In a one-period model, the share price starts at $12 and in one year’s time is either $24 or $6. Simple interest on USD is 20% per year.

(a) Construct a replicating portfolio for a one year call option with strike K = $15.
(b) Explain how The Law of One Price allows you to calculate the premium of the call option.
(c) Construct risk-neutral probabilities for the model for the share price and verify the risk-neutral value for the call option is the same as the value given by the replicating portfolio.

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Solution a To construct a replicating portfolio for a one year call option with strike K 15 we need to find a combination of the stock and the riskfree asset that will replicate the payoff of the call ... blur-text-image

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