This paper shows that a competitive equilibrium exists in an exchange economy with incomplete financial markets where redundant assets are traded and the asset trading of each agent is subject to endogenous portfolio constraints. The set of budget-feasible portfolios need not be bounded in the...

Survival conditions ensure the presence of consumptions that cost less than the total contingent income of agents in general equilibrium models. These conditions are generally fulfilled in competitive equilibrium. This paper shows the existence of equilibrium for incomplete-market economies...

We derive the equilibrium interest rate and risk premiums using recursive utility with heterogeneity in a continuous time model. We solve the associated sup-convolution problem, and obtain explicit closed form solutions. The heterogeneous two-agent model is calibrated to the data of Mehra and...

We consider a sovereign wealth fund that invests broadly in the international financial markets. The influx to the fund has stopped. We adopt the life cycle model and demonstrate that the optimal spending rate from the fund is significantly less than the fund's expected real rate of return. The...

We present comprehensive evidence in support of giving liquidity equal standing to size, value/growth, and momentum as investment styles, as defined by Sharpe (1992). First, we show that financial market liquidity, as identified by stock turnover, is an economically significant indicator of...

Growth Optimal Portfolio (GOP) theory determines the path of bet sizes that maximize long-term wealth. How it is also known in practice GOP is too risky. We explain in this talk that the reason is in practice the investment horizon is finite and practitioners account for risk more explicitly. We...

Growth Optimal Portfolio (GOP) theory determines the path of bet sizes that maximize long-term wealth. This multi-horizon goal makes it more appealing among practitioners than myopic approaches, like Markowitz's mean-variance or risk parity. The GOP literature typically considers risk-neutral...

We propose an equilibrium framework within which to price financial securities written on non- tradable underlyings such as temperature indices. We analyze a financial market with a finite set of agents whose preferences are described by a convex dynamic risk measure generated by the solution of...

We propose several multivariate variance ratio statistics. We derive the asymptotic distribution of the statistics and scalar functions thereof under the null hypothesis that returns are unpredictable after a constant mean adjustment (i.e., under the Efficient Market Hypothesis). We do not...

We study mean-variance hedging under portfolio constraints in a general semimartingale model. The constraints are formulated via predictable correspondences, meaning that the trading strategy is restricted to lie in a closed convex set which may depend on the state and time in a predictable way....