Capitalization of the Property-Liability Insurance Industry: Overview

The 1990s witnessed an unprecedented decline in leverage ratios in the United States property-liability insurance industry. The premiums-to-surplus ratio, the most commonly used leverage ratio in the industry, fell from its historical average of 2.0 to less than 1.0 by the end of 2000; and the industry-wide capital-to-asset ratio increased from an historical average of about 25% to 35%. The international reinsurance industry also experienced significant capital increases and leverage declines during the 1990s (Cummins and Weiss, 2000).¹ These unusual trends raised widespread concerns that the property-liability insurance industry had become over-capitalized (The Economist, 1999; Bowers, 2001; Seifert, 2001). To investigate the growth in capitalization and its potential causes, the Conference on Capitalization in the Property-Liability Insurance Industry was held at the Wharton School in September 2000 under the joint sponsorship of the Wharton Financial Institutions Center and AON. Selected papers from the conference comprise this issue of the Journal of Financial Services Research (JFSR).     

A New Stochastic Duration Based on the Vasicek and CIR Term Structure Theories

The stochastic duration based on the Vasicek and CIR models is theoretically superior to Macaulay's duration. However, empirical tests on bond immunization performance have so far failed to show its superiority. Within the one-factor framework, this paper proposes to use a longer zero-curve yield instead of the original instantaneous interest rate as a proxy for the relevant risk source(s). We prove that the new duration becomes larger, increasing with bond maturity, than the original duration. Bond immunization using Belgian data shows that the new duration definitely beats the original duration and can in some cases outperform Macaulay's duration.     

中国财产保险市场结构、效率与绩效关系检验

运用B erger和Hannan(1993)模型对中国产险市场结构、效率与绩效关系实证检验得出,中国的产险市场既不是结构决定绩效,也不是效率决定绩效,市场力量假说和效率结构假说都不存在。但大企业存在一定程度的"安逸生活"特征。随着中国产险市场化的改革,产险市场将逐步从市场力量说向效率结构假设转化。     

The Market Valuation and Trading Volume Effects of the Creation of the Florida Hurricane Catastrophe Fund on Property-liability Insurers

The Florida Hurricane Catastrophe Fund was officially created in November, 1993. This study analyzes investor reactions during the creation of the Florida Hurricane Catastrophe Fund. We find significant share price reactions for four of six legislative events consistent with the predictions of the theory outlined. We use both a generalized least squares portfolio approach and Corrado's (1989) rank statistic, a nonparametric event study methodology, to arrive at our findings. Empirical analysis of trading volume corroborates the findings involving share price reactions. We also find that the market is able to discriminate between property-liability insurers on the basis of hurricane exposure and firm size.     

The Stability of Factor Models of Interest Rates

The daily term structure of interest rates is filtered to reducethe influence of cross-correlations and autocorrelations onits factors. A three-factor model is fitted to the filtereddata. We perform statistical tests, finding that factor loadingsare unstable through time for daily data. This finding is notdue to the presence of outliers nor to the selected number offactors. Such an instability problem can be solved when applyingthe factor analysis on multivariate scaled residuals, filteredusing a nonparametric technique based on functional gradientdescent.     

利率期限结构理论研究综述

本文主要对利率期限结构的理论研究做综述,以20世纪70年代初和90年代末为分界线,70年代以前称为传统的利率期限结构,主要以描述性研究为主;70年代以后称为现代利率期限结构,主要以随机模型研究为主;从20世纪90年代末,开始了两极分化发展。本文分为三个部分：第一部分对20世纪70年代之前传统利率期限结构的描述性理论作了概括;第二部分是现代利率期限结构的定量模型,包括均衡模型和无套利模型;第三部分则主要介绍20世纪90年代末以来的一些最新研究进展,包括市场模型和宏观金融模型等。     

Macroeconomic Implications of Term Structures of Interest Rates Under Stochastic Differential Utility with Non-Unitary EIS

This paper proposes a continuous-time term-structure model under stochastic differential utility with non-unitary elasticity of intertemporal substitution (EIS, henceforth) in a representative-agent endowment economy with mean-reverting expectations on real output growth and inflation. Using this model, we make clear structural relationships among a term structure of real and nominal interest rates, utility form and underlying economic factors (in particular, inflation expectation). Notably, we show that, if (1) the EIS is less than one, (2) the agent is comparatively more risk-averse relative to time-separable utility, (3) short-term interest rates are pro-cyclical, and (4) the rate of expected inflation is negatively correlated with the rate of real output growth and its expected rate, then a nominal yield curve can have a low instantaneous riskless rate and an upward slope.     

Terms Structure of Interest Rates and Implicit Options: The Case of Japanese Bond Futures

The quality option for Japanese Government Bond Futures contracts is analysed using a term structure approach based upon a two-factor Heath, Jarrow and Morton (1990b) model. The option value is found to be 0.12%–0.2% of par three months prior to delivery. Also, analysis of variance confirms that the quality option has a negative theta .     

Tax Clientele Effects in the Term Structure of UK Interest Rates

This paper tests for tax clientele effects in the term structure of UK interest rates. Five empirical models of the term structure of interest rates, incorporating tax effects, are estimated with daily data covering the period 31 March, 1995 to 3 August, 1995. In May 1995, the British government announced its intention to eliminate the tax exemption on capital gains from government bonds, but subsequently in July 1995 backtracked on some of its initial proposals. This period therefore forms the basis of a crude natural experiment in the sense that it provides an opportunity to examine tax clientele effects 'before' and 'after' an event which should have levelled greatly the taxing of government bonds. The empirical analysis suggests large tax clientele effects. However, there is little evidence of tax-specific term structures of interest rates.     

The Term Structure of Interest Rates: Bounded or Falling?

This short paper resolves an apparent contradiction between Feldman's (1989) and Riedel's (2000) equilibrium models of the term structure of interest rates under incomplete information. Feldman (1989) showed that in an incomplete information version of Cox, Ingersoll, and Ross (1985), where the stochastic productivity factors are unobservable, equilibrium term structures are ``interior' and bounded. Interestingly, Riedel (2000) showed that an incomplete information version of Lucas (1978), with an unobservable constant growth rate, induces a ``corner' unbounded equilibrium term structure: it decreases to negative infinity. This paper defines constant and stochastic asymptotic moments, clarifies the apparent conflict between Feldman's and Riedel's equilibria, and discusses implications. Because productivity and growth rates are not directly observable in the real world, the question we answer is of particular relevance.     

Nominal Interest Rates and the News

This paper provides new estimates of the impact of monetary policy actions and macroeconomic news on the term structure of nominal interest rates. The key novelty is to parsimoniously capture the impact of news on all interest rates using a simple no‐arbitrage model. The different types of news are analyzed in a common framework by recognizing their heterogeneity, which allows for a systematic comparison of their effects. This approach leads to novel empirical findings. First, monetary policy causes a substantial amount of volatility in both short‐term and long‐term interest rates. Second, macroeconomic data surprises have small and mostly insignificant effects on the long end of the term structure. Third, the term‐structure response to macroeconomic news is consistent with considerable interest‐rate smoothing by the Federal Reserve. Fourth, monetary policy surprises are multidimensional while macroeconomic surprises are one‐dimensional.     

保险公司保障属性的衡量与影响因素分析

本文聚焦保险保障功能,提出保障属性的概念,并运用熵值法构建衡量保险公司保障属性的多指标综合评价模型,计算了保险公司的保障属性指数,并衡量了财险业、寿险业及保险业的保障属性,分析了导致保险公司保障属性差异的影响因素。研究表明,构建的保障属性综合评价模型具有一定的有效性。财险公司保障属性集中在高水平,外资和小型财险公司的保障属性明显较高。寿险公司间保障属性差异明显,外资和小型寿险公司的保障属性明显较高。保险行业的保障属性整体上在样本年显著增强。财险公司和寿险公司的保障属性受不同因素影响。整体上,公司年龄、学历结构、国有股份比例、董事长学历及是否兼任总经理等因素对两者有着共同的影响。     

Fiscal Multipliers under an Interest Rate Peg of Deterministic versus Stochastic Duration

This paper revisits the size of the fiscal multiplier. The experiment is a fiscal expansion under the assumption of a pegged nominal rate of interest. We demonstrate that a quantitatively important issue is the articulation of the exit from the policy experiment. If the monetary‐fiscal expansion is stochastic with a mean duration of T periods, the fiscal multiplier can be unboundedly large. However, if the monetary‐fiscal expansion is for a fixed T periods, the multiplier is much smaller. Our explanation rests on a Jensen's inequality type argument: the deterministic multiplier is convex in duration, and the stochastic multiplier is a weighted average of the deterministic multipliers. The quantitative difference in the two multipliers also arises in a model with capital, and in the baseline nonlinear model. However, the differences between the two are less pronounced in the nonlinear models. The errors from a linear approximation are much larger for the stochastic exit model then for the deterministic exit model.     

A Binomial Basis for the Cox, Ingersoll and Ross Model of the Term Structure of Interest Rates

The technical demands of the Cox, Ingersoll and Ross (1985a and 1985b) papers are such that they can only be mastered by those who have a good understanding of some deep mathematics and statistical concepts, including the techniques of continuous time stochastic calculus and the measure theory upon which it is based, the Kuhn-Tucker theory surrounding non-linear optimisation techniques as well as variational methods founded on solutions of non-linear differential equations. Hence, our purpose here is to formalise both investor preferences and the supply side which underscores the Cox, Ingersoll and Ross (1985b) 'square root' model of the term structure of interest rates in terms of some simple binomial filtration processes, thereby avoiding most of the intricate technical detail contained in the original papers. These procedures not only allow for a more focused evaluation of the model's underlying strengths and weaknesses but also provide a framework for assessing some of the strategies which the model makes available for hedging exposure against adverse interest rate movements.     

The Impact of Taxing Unemployment Insurance Benefits on Unemployment Duration and Post-unemployment Earnings

In 1979, unemployment insurance benefits became taxableincome for recipients with income above a specified threshold.Further legislation in 1982 lowered the income threshold. Thispaper uses the Continuous Wage and Benefit History (CWBH) database to evaluate the effects of the 1982 change on the compensatedduration of unemployment and post-unemployment earnings. The1982 episode is a particularly useful natural experimentbecause the treatment group (those newly subject to benefittaxation) is the middle income category and the two controlgroups (those whose benefits were already taxed and those whosebenefits still were not taxed) are the high and low income categories.If the two control groups show similar trends in unemploymentduration (or post-unemployment earnings) and the treatment groupshows a strikingly different pattern, this is compelling evidenceof a tax effect. The empirical results suggest that taxing unemploymentbenefits reduced the affected workers' mean compensated durationby more than a week, but did not have a statistically significanteffect on their post-unemployment earnings.     

Pricing Commodity Spread Options with Stochastic Term Structure of Convenience Yields and Interest Rates

The purpose of this research is to provide a valuation formula for commodity spread options. Commodity spread options are options written on the difference of the prices (spread) of two commodities. From the aspect of commodity contingent claims, it is considered that commodity spread options are difficult to evaluate with accuracy because of the existence of the convenience yield. Hence, the model of the convenience yield is the key factor to price commodity spread options. We use the concept of future convenience yields to develop the model that enriches the stochastic behavior of convenience yield. We also introduce Heath-Jarrow-Morton interest rate model to the valuation framework. This general model not only captures the mean reverting feature of the convenience yield, but also allows us to handle a very wide range of shape that the term structure of convenience yield can take. Therefore our model provides various types of models. The numerical analysis presented in this paper provides some unique features of commodity spread options in contrast to normal options. These characteristics have never been addressed in previous studies. Moreover, it suggests that the existing model overprice commodity spread options through neglecting the effect of interest rates.     

Keeping up with the Joneses: Changing Rating Standards and the Buildup of Capital by U.S. Property-Liability Insurers

There has been a net propensity over the last decade for the dominant rating agency of the U.S. insurance industry, A.M. Best, to downgrade property-liability insurers. This could reflect a general deteriorating credit worthiness of the industry or an increase in the performance thresholds Best's has deemed necessary to achieve a given rating class. Consistent with a recent study of corporate bond ratings, we find evidence there has been an increase in rating stringency. Specifically, we show pressure for insurers to maintain their existing ratings provides a plausible explanation of the dramatic buildup of capital in the industry during the 1990s. In addition, our analysis suggests Best's raised the bar in terms of the capital required to maintain the highest ratings differentially relative to the increase in standards they required for lower rated categories. The actual pattern of capital buildup across firms in different rating categories is consistent with an attempt by high quality firms to defend these ratings.     

The Term Structure of Implicit Discount Rates in Security Valuation

Abstract:   A reformulation of the residual income model is used to generate estimates of discount rates implicit in UK security prices. The terminal value of the infinite valuation model is incorporated into the coefficient on current earnings. By varying the length of the forecast horizon, different combinations of implicit discount rates are revealed that allow the estimation of time‐variant costs of equity. Results indicate no specific pattern of discount rates, thus revealing neither myopia on short‐term earnings nor excessive optimism on long(er)‐term earnings. Surprisingly, there is weak evidence that if any myopia exists, it is concentrated in larger and lower price‐earnings firms.     

Dynamic Relationship between Housing Values and Interest Rates in the Korean Housing Market

The goal of this study is to identify the long-term relationship between housing values and interest rates in the Korean housing market, using the cointegration test and spectral analysis. The result shows a long-term negative (–) equilibrium relationship between housing values and interest rates. Moreover, the Granger causality test for confirming the short-term dynamic relationship between these variables shows one-way causality from interest rate to the growth rate of housing values, while the transfer function model demonstrates concretely the causal structure of this relationship. These findings suggest that the interest rate adjustment policy in the Korean housing market can work very effectively and will contribute to forecasting the growth rate of future housing values. This study was supported from the 2003 Daegu University Research Fund     

公债的利率期限结构与成本管理

在理论上公债期限与公债利率是密切相关的,但是,由于流动性偏好理论的假设前提(有效市场假设)与现实不符,致使"公债期限越短、利息成本越低"的观点在实践中不一定成立.研究表明,只有政府在预测未来债券利率走势方面具有比市场更为优势的地位,它才能够通过期限选择降低债务成本.我国目前正满足这一要求,因而通过期限管理降低债务成本是完全可能的.