Improved approximations for the aggregate claims distribution of a life insurance portfolio

Abstract

In an earlier paper the author derived a recursion formula which permits the exact computation of the aggregrate claims distribution in the individual life model. This exact procedure requires of course more computing time than approximative methods such as Kornya's algorithm, which seemed to be the best compromise between accuracy and computational effort. In the present paper it is shown that, to save time, the exact formula can be used in an approximative way and that the corresponding error bound is smaller than the one of the Kornya-type approximations.     

Simple binomial processes as diffusion approximations in financial models

A binomial approximation to a diffusion is defined as 'computationallysimple' if the number of nodes grows at most linearly in thenumber of time intervals. It is shown how to construct computationallysimple binomial processes that converge weakly to commonly employeddiffusions in financial models. The convergence of the sequenceof bond and European option prices from these processes to thecorresponding values in the diffusion limit is also demonstrated.Numerical examples from the constant elasticity of variancestock price and the Cox, Ingersoll, and Ross (1985) discountbond price are provided.     

Dynamic Seemingly Unrelated Cointegrating Regressions

We propose the parametric Dynamic Seemingly Unrelated Regression (DSUR) estimator for simultaneous estimation of multiple cointegrating regressions. DSUR is efficient when the equilibrium errors are correlated across equations and is applicable for panel cointegration estimation in environments where the cross section is small relative to the available time series. We study the asymptotic and small sample properties of the DSUR estimator for both heterogeneous and homogeneous cointegrating vectors. We then apply the method to analyse two long-standing problems in international economics. Our first application revisits the estimation of long-run correlations between national investment and national saving. Our second application revisits the question of whether the forward exchange rate is an unbiased predictor of the future spot rate.     

Linking Product Development Outcomes to Market Valuation of the Firm: The Case of the U.S. Pharmaceutical Industry*

The purpose of this research was to examine empirically the effects of new product development outcomes on overall firm performance. To do so, first product development and finance literature were connected to develop three testable hypotheses. Next, an event study was conducted in order to explore whether the changes in the stock market valuation of firms are influenced by the outcomes of efforts to develop new products. The pharmaceutical industry was chosen as the empirical context for the present study's analysis largely because the gate‐keeping role played by the Food and Drug Administration (FDA) provides a specific event date on which to focus the event study methodology. As such, this study's events were dates of public announcements of the FDA decisions to approve or to reject the New Drug Applications submitted by the sponsoring firms. Consistent with the efficient market hypothesis, this study's results show that market valuations are responsive strongly and cleanly to the success or failure of new product development efforts. Hence, one of this study's key results suggests that financial markets may be attuned sharply to product development outcomes in publicly traded firms. This study also finds that financial market losses from product development failures were much larger in magnitude than financial market gains from product development successes—indicating an asymmetry in the response of financial markets to the success and failure of new product development efforts. Hence, another implication of this study's results is that managers should factor in a substantial risk premium when considering substantial new development projects. The present study's results also imply that managers should refrain from hyping new products and perhaps even should restrain the enthusiasm that the financial community may build before the product fully is developed. The effect on firm value is severe when expectations about an anticipated new product are not fulfilled. Managers in effect should take care to build reasonable and realistic expectations about potential new products.     

Redistribution and Small Coalitions of Friends

When side marketing trade is perfect, linear taxation of retradeable commodities is the only scheme that survives attempts to arbitrage. In this paper, I discuss tax schemes when side trading is imperfect in the sense that commodities can only be re-exchanged within coalitions no larger than two people. In the framework of a two-class economy, I identify coalitions which might have an incentive to form and provide a characterisation for the Pareto-efficient tax scheme. The tax formula has a very simple form and strongly resembles the formula for the no-side-trade case. In a numerical exercise, the constraints imposed on policy by an imperfect side trading process are found to be almost as tough as those imposed by perfect side trading.