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(4) Let (, F, P) be the underlying probability space. Let W be a SBM. Define a process Y by YtW/t, t> 0, Yo=0.
(4) Let (, F, P) be the underlying probability space. Let W be a SBM. Define a process Y by YtW/t, t> 0, Yo=0. a. 3 pts Compute the covariance Cov(Ys, Y7). What is the distribution of the random variable (Ys, Y7)? b. 2 pts Verify whether process e(Y:-), t0, is a MTG with respect to the natural filtration of Y. c. 1 pts Compute E(Y5|F3) and E(Y3|F5), where (Ft, t 0) is the natural filtration of Y.
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An Introduction to the Mathematics of Financial Derivatives
Authors: Ali Hirsa, Salih N. Neftci
3rd edition
012384682X, 978-0123846822
