期刊名称:CORE Discussion Papers / Center for Operations Research and Econometrics (UCL), Louvain
出版年度:2007
卷号:1
出版社:Center for Operations Research and Econometrics (UCL), Louvain
摘要:We propose an ob jective for the firm in a general model of production economies extending over
time under uncertainty and with incomplete markets. Trading in commodities and shares of stock
occurs sequentially on spot markets at all date-events. We derive the objective of the firm from the
assumption of initial-shareholders efficiency. Each shareholder is assumed to communicate to the
firm her marginal valuation of profits at all date events (expressed in terms of initial resources). In
defining her own marginal valuation of the firm¡¯s profits, a shareholder will take two elements into
consideration. To evaluate the direct impact of a change in dividends the shareholder uses her own
vector of marginal rates of substitution for revenue across date-events. In addition, the shareholder
will take into account the impact of future dividends on the firm¡¯s stock price when she trades shares.
To predict the effect on the stock price, she uses a (possibly different) state price process, her price
theory. The only restriction that we impose on consumers¡¯ price theories is that they should be
compatible with the observed equilibrium: given the equilibrium prices and production plans, a price
theory must satisfy a no-arbitrage condition. The firm computes its own shadow prices for profits at
all date-events by simply adding up the marginal valuations of all its initial shareholders. We prove
existence of an equilibrium.