Hello,I have been reading "A Survey of Behavioral Finance" by Barberis and Thaler, and everything was going fine until I got up to page 1076, when he describes an endowment economy. Could you guys help clarify this part? A copy of the paper may be found here:
http://badger.som.yale.edu/faculty/ncb25/ch18_6.pdf"... consider the following an endowment economy, which we come back to a number of times in this section. There are an infinite number of identical investors, and two assets: a risk-free assets in zero net supply, with gross return Rf(t) between time t and t+1, and a risky asset - the stock market - in fixed positive supply, with gross return R(t+1) between time t and t+1. The stock market is a claim to a perishable stream of dividends {Dt}, whereD(t+1)/D(t) = exp(g_D + sigma_D*eps(t+1))(sorry about my poor equation transcription capabilities...)And where each period's dividend can be thought of as one component of a consumption endowment C(t),C(t+1)/C(t) = exp(g_C + sigma_C*eta(t+1))...Investors choose consumption Ct and an allocation St to the risky asset to maximizeEo * sum over all t ( rho^t * C(t)^(1-gam) / (1 - gam))"this is a result that shows up repeatedly, and is modified at various points in the paper. The problem is I can't even understand how they came up with the equation (6) in the first place. If you have any references on this that are more tutorial in nature, or if you think you could help explain it, I would be most appreciative. Thanks so much!YoursRaj