Output Euler equations (OEE) for the US deliver slope estimates that are not significantly different from zero. This finding is counterintuitive as it implies a zero elasticity of intertemporal substitution (EIS) and aggregate demand movements that are nonresponsive to the short-term real interest rate. This paper shows that failure to account for regime changes in the dynamics of the real interest rate is responsible for this result. Based on a joint specification for the OEE and the real interest rate in an unobserved components model framework with Markov-switching parameters, the means, variances, and degrees of persistence of the real interest rate are different for the periods 1966–1980, 1980–1985, and 1985–2015. Once these regime changes are taken into account, the EIS estimate is 0.1 and no longer statistically insignificant. This finding is robust to alternative measures of the output gap as well as different specifications for the natural real interest rate.

This paper considers certain applications of economics to actuarial work, concentrating on three issues of public interest. The background to the first two issues is the Government's encouragement of personal pensions particularly through stakeholder pensions. The paper shows how the use of an economics model enables investigations to be made, firstly on the demand for personal pensions by different income groups and secondly on the likely inequality of benefits between generations due to variations in the rates of return. The conclusion on the first issue is that personal pensions are of little benefit to low-earners, i.e. those the Government most wants to benefit, and recommends a way of rectifying this; the main conclusion on the second issue is that households will take action to mitigate much of the inequality. The third issue, that of estimating future rates of return, is one of key financial importance. The paper reviews relevant economic papers in this area and considers how the actuarial profession may improve communication with the economics discipline and with its members.

Following a contractionary monetary policy shock, the aggregate output decreases over time for six to eight quarters, while the real interest rate increases immediately and remains high for three quarters, which can hardly be replicated by models characterized by a standard consumption Euler equation. This paper adopts a segmented markets framework where some households are permanently excluded from financial markets. The aggregate output and the nominal interest rate are modeled as exogenous autoregressive processes, while the real interest rate is determined endogenously. For intermediate levels of market segmentation, the model is able to account for both the persistent decreasing path of the aggregate output and the persistent increase in the real interest rate which follow an unanticipated increase in the nominal interest rate. The sign, the size and the persistence of the responses of the real interest rate and the money growth rate are close to those in the data.

In this paper, we study the role of habit formation in accounting for the joint behavior of the real interest rate and consumption growth following a monetary policy shock. A VAR estimation on US data shows that following a contractionary monetary policy shock, the real interest rate exhibits a persistent increase while consumption growth drops persistently. As the standard permanent income model is known to be unable to replicate this co–movement for intertemporal substitution motives, we introduce habit persistence in consumption behavior. We test the implied Euler equation using a method of moments on conditional moments (IRF) obtained from the VAR model. Our estimates of the habit persistence parameter are similar to previous results in the literature. Further, we find empirical support in favor of habit formation as a relevant assumption to represent the joint behavior of the real interest rate and consumption growth following a monetary policy shock. Finally, we show that habit formation allows weakening the intertemporal substitution mechanism.