Dynamic bond portfolio choice in a model with Gaussian diffusion regimes

This paper studies bond prices, intertemporal consumption and portfolio choice in a simple two-factor continuous-time regime-switching term structure model. The real interest rate and the expected inflation are modelled as an “extended” Ornstein-Uhlenbeck process, whose mean and variance shift randomly within a high-low Markovian regime. The prices of nominal and indexed bonds, the nominal and real term premia and the consumption-portfolio choice of a typical risk-averse investor are studied in the case in which the regime is observed.