Optimal Investment and Consumption With Two Bonds and Transaction Costs

An agent can invest in a high-yield bond and a low-yield bond, holding either long or short positions in either asset. Any movement of money between these two assets incurs a transaction cost proportional to the size of the transaction. the low-yield bond is liquid in the sense that wealth invested in this bond can be consumed directly without a transaction cost; wealth invested in the high-yield bond can be consumed only by first moving it into the low-yield bond. the problem of optimal consumption and investment on an infinite planning horizon is solved for a class of utility functions larger than the class of power functions. Copyright 1991 Blackwell Publishers.