We use the cointegration technique to reexamine the contending lapse rate hypotheses: the emergency fund hypothesis and the interest rate hypothesis. We find that the unemployment rate affects the lapse rate in both the long and short run, whereas the interest rate causes variations in the lapse rate mainly in the long run. This evidence seems to be in favor of the emergency fund hypothesis. However, according to the impulse response analysis of the estimated error-correction model, the interest rate overwhelms the unemployment rate on the overall impact on the dynamics of lapse rate. In other words, the interest rate hypothesis is favored against the emergency fund hypothesis in the sense that the interest rate is more economically significant than the unemployment rate in explaining the lapse rate dynamics. Copyright The Journal of Risk and Insurance.
Estimating the duration gap of a life insurer demands the knowledge on the durations of liabilities and assets. The literature analyzed the durations of assets extensively but rendered limited analyses on the durations of insurance liabilities. This article calculated the reserve durations for individual policies and estimated the duration of the aggregate reserves. The results showed that the duration of the policy reserve might be negative and/or have a large figure. They further revealed an interesting pattern of the reserve duration with respect to the policy's time to maturity. A term structure with abnormal durations, however, does not result in an abnormal duration of the aggregate reserves. Copyright (c) The Journal of Risk and Insurance, 2009.
In this article, we examine how the policy-year structures of expense ratios and surrender rates affect the distributions of policy reserves. Our results show that a convex expense ratio curve, though reduces the mean and the uncertainty of reserves, could make the beneficial impact of surrenders on insurers become detrimental. Our results also show that the convexity of the surrender rate curve is favorable to insurers while the volatilities of surrender rates are unfavorable. We further find that neglecting the policy-year structures of surrender rates and expense ratios may result in overestimation of the mean and the uncertainty of reserves. Copyright (c) The Journal of Risk and Insurance, 2009.
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