[This paper describes an environment in which government-issued currency is dominated in rate of return and in which there obtains a Modigliani-Miller theorem for government open market operations. Earlier Modigliani-Miller theorems for government finance have been stated for environments in which government-issued currency is not dominated in rate of return in equilibrium. Since government-issued currency is widely observed to be dominated in return, it is useful to study how Modigliani-Miller theorems hinge on absence of rate of return dominance.]

This paper describes an environment in which government-issued currency is dominated in rate of return and in which there obtains a Modigliani-Miller theorem for government open market operations. Earlier Modigliani-Miller theorems for government finance have been stated for environments in which government-issued currency is not dominated in rate of return in equilibrium. Since government-issued currency is widely observed to be dominated in return, it is useful to study how Modigliani-Miller theorems hinge on absence of rate of return dominance.