Explain put–call parity is a model-independent relationship
Illustrates that the put–call parity is a model-independent relationship.
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Calls and puts with similar strike and expiration should have similar implied volatility. The attractiveness of put–call parity is that this is a model-independent relationship. In order to value a call on its own we require a model for the stock price, within particular its volatility. Very similar is true for valuing a put. Expect to value a portfolio having a long call and a short put, it may vice versa, no model is required. This model-independent relationship is few and far between in finance.
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What is Put–Call Parity?
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