This paper aims to investigate the relationship among inflation, inflation uncertainty and government bond rates in the Greek economy in the last 19 years. The method adopted is the E-GARCH technique in order to capture the conditional variance of inflation shocks, while the VAR method is used with the purpose of examining any signs of granger causality issues.  Causality analysis shows a strong relationship between government bonds to inflation, between government bonds and inflation uncertainty, and between inflation and inflation uncertainty. Furthermore, generalized impulse response analysis is implemented which shows a strong causational relationship between government bonds-inflation and government bonds-inflation uncertainty.

In this paper we present a new continuous-time financial market model which is investigated to discuss the effectof time delay and market fraction of the fundamentalists on dynamics of asset prices. First, we analyze theglobal stability conditions of the fundamental steady state by constructing suitable Lyapunov functional. It is interesting to find the existence of the term of the feedback control, that is to say the new model has very good stability behaviours from the stable cycle or bifurcation. Second, numerical simulations show that the deterministic model is able to characterize long deviations of the market price from its fundamental price and stability behaviours observed in financial markets. It is the same to find that an increase in memory length not only can destabilize the market price, but also can stabilize an otherwise unstable market price, leading to stability switching as the memory length increases.