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Mar 27, 2012 at 19:04 comment added Arthur B I'm not buying the model. The quantity demanded is available to the trader before he sets the price, it's very weird.
Mar 3, 2011 at 23:23 comment added John Let $V_{-1}$ be any arbitrary number, and let $P_{-1}=V_{-1}$. You are right that $P_t$ depends exactly on expectations about $P_{t+1}$. But I was hoping to find a solution for $P_t$ in terms of just the stochastic innovations driving the system, $x_{t+s}$ and $V_{t+s}$. I think the trick to this problem is that although the innovations to $V_t$ are exogenous, the innovations $x_{t+s}$ are not, because they depend on past prices, which in turn depend on future expectations. I think the solution must therefore involve some kind of equilibrium.
Mar 3, 2011 at 22:30 comment added BSteinhurst What initial conditions are you putting on $V$ and $P$? I.e. what is $V_{-1}$ and $P_{-1}$? Also, when your profit process includes the true version of the future why do you expect that the price process should not include some estimates of $P_{t+1}$?
Mar 3, 2011 at 20:28 history asked John CC BY-SA 2.5