General Equilibrium Asset Pricing under Regime Switching

We have investigated the asset pricing problem in a general equilibrium in an economy with two states. Based on the assumption of a CRRA utility function, we have derived a partial differential equation satisfied by the representative agent’s cost function. In the case when the representative agent doesn’t have intermediate consumption, we have found an explicit solution of the cost function. A closed-form expression for the riskless interest rate has been derived. We have also provided a partial differential equation satisfied by any contingent claim. Based on the stochastic discount factor computed, we have suggested an explanation for the equity premium puzzle.