(Adapted from Bjork (2004).) Define the process y = (yt) by yt = z4 t , where...

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(Adapted from Bj¨ork (2004).) Define the process y = (yt) by yt = z4 t , where z = (zt) is a standard Brownian motion. Find the dynamics of y. Show that

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Show that E[yt] E[z4 t ] = 3t2, where E[ ] denotes the expectation given the information at time 0.

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