Assume that interest rate is 0.02, growth rate of the Geometric Brownian Motion of the stock price is 0.03, and its volatility is 0.1. The current stock price is $100. If one independent sample from a standard normal distribution is 0.6, simulate the stock prices at t = 0.05 using the Euler-Maruyama scheme under the risk-neutral probability measure.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Assume that interest rate is 0.02, growth rate of the Geometric Brownian Motion of the stock price is 0.03, and its volatility is 0.1. The current stock price is $100. If one independent sample from a standard normal distribution is 0.6, simulate the stock prices at t = 0.05 using the Euler-Maruyama scheme under the risk-neutral probability measure.

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,