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The following are prices of options traded on Microsoft Corporation, which pays no dividends. Estimate the value of a three-month call, with a strike price of Using the inputs from the Black-Scholes model, specify how you would replicate this call. What is the implied standard deviation in this call?

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In reality, companies hardly change their valuations on a day-to-day basis, but their stock prices and valuations change nearly every second. This difficulty in reaching a consensus about correct pricing for any tradable asset leads to short-lived arbitrage opportunities. But a lot of successful investing boils down to a simple question of present-day valuation— what is the right current price today for an expected future payoff? Binominal Options Valuation In a competitive market, to avoid arbitrage opportunities, assets with identical payoff structures must have the same price.

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While no model is perfect, being aware of limitations can help in making informed trading decisions, rejecting outlier cases and avoiding costly mistakes that may result in huge losses. Underlying stock price, volatilityrisk-free rate, and dividend are unknown, and may change in short duration with high variance. This leads to high fluctuations in option prices. It does provide significant profit opportunities to experienced option traders or ones with luck on their side.

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