Develop a formula for the price of a call option and for, Engineering Mathematics

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Develop a formula for the price of a call option and for

Let an asset follow a Brownian motion

dS = μdt + σdW,

with µ and a constant. The constant interest rate is r. What process does S follow in the risk-neutral measure? Develop a formula for the price of a call option and for the price of a digital call option. What is the analogue of the Black-Scholes equation for this asset?

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Engineering Mathematics: Develop a formula for the price of a call option and for

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Engineering Mathematics: Develop a formula for the price of a call option and for

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