An asset, currently priced at $200, is expected to have a market price 1 year from now

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An asset, currently priced at $200, is expected to have a market price 1 year from now given by $200S. Here, S is a random variable with density functionfs(s) $200 = - exp 1 (In(s) - 1) 2 0.2 2 for s  [0.1,6.1]

for some fixed constant a. Estimate the probability that the price 1 year from now will have increased by between 0% and 300%. You should use Simpson’s approach of order 16 in any numerical integrals.

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