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The Determination of Fair Profits for the Property‐Liability Insurance Firm
Single period and dynamic valuation models in continuous time, under certainty and uncertainty, are developed for a property‐liability insurance contract to determine the “fair” (competitive) premium and underwriting profit. The intertemporal stochastic model assumes that the claim frequency and the price index of claim settlements are functions of a set of underlying state variables which follow a multivariate Wiener process. The competitive premium is shown to be proportional to the claim frequency and the price index for claim settlements at the time the policy is issued. The factor of proportionality varies directly with the claim settlement rate and the length of coverage, and inversely with the risk‐adjusted real interest rate on the dollar‐valued claim rate.
An Exploration of Competitive Signalling Equilibria with “Third Party” Information Production: The Case of Debt Insurance
In markets in which sellers know more about product quality than buyers, but cannot convey their superior information either by directly issuing costly signals of the Spence type or by successfully funding the production of information, I suggest another way in which the informational asymmetry problem can be resolved; a third party can produce the necessary information at a cost and use it to price a service consumed by the sellers. Buyers can then observe a seller's choice of service consumption level and be well informed in equilibrium. In this framework I construct a model in which a borrower's choice of insurance coverage signals its default probability to lenders, and explore the properties of the resulting signalling equilibrium in a variety of cases.
Rational Expectations and Risk Premia in Forward Markets: Primary Metals at the London Metals Exchange
This paper tests whether forward prices equal the traders' expectations of the future spot prices at maturity, under two different models of expectations formation: full information rational expectations and incomplete information mechanical forecasting rule. The tests are performed, over the period January 1970 through September 1980, on the forward markets for the primary metals—copper, tin, lead, and zinc‐traded in the London Metals Exchange. We find evidence consistent with the existence of time varying risk premia
Optimum Distribution‐Free Tests and Further Evidence of Heteroscedasticity in the Market Model
In this paper several powerful distribution‐free tests for heteroscedasticity are introduced and are used to test the hypothesis of constant variance in the market model. These tests are noted for their flexibility in specifying alternative hypotheses. It is found that the assumption of homoscedasticity is untenable for the majority of stocks analyzed. The implications of this finding for the efficient estimation of the parameters of the market model are also discussed
The Time‐Variance Relationship of Security Returns: Implications for the Return‐Generating Stochastic Process
Using a test statistic which specifically allows for parameter shifts over time, we investigate the time‐variance relationship of security returns. The null hypothesis of stationary and independent increments is rejected, and the existence of a complex short‐term reversal phenomenon is reported.
Debt Financing, Corporate Financial Intermediaries and Firm Valuation
In this paper we consider the role of financial intermediaries in the valuation of firms and projects. We show that security prices should reflect both used and unused debt capacity if some corporations can act as financial intermediaries and can capture the tax benefits of debt capacity unused by the operating firm. We also provide some reasons why the value of the firm might be increased if the financing and operating risks of the firm are separated and financial intermediaries issue debt rather than the unit operating the asset
The Effect of Errors in Variables on Tests for a Risk Premium in Forward Exchange Rates
Conventional tests for a risk premium in the price of forward exchange use the subsequently realized spot rate as a proxy for prior expectations. Use of this proxy creates a serious errors‐in‐variables problem which makes it difficult to reject the null hypothesis of zero risk premium. Use of a better proxy for expectations indicates the presence of a risk premium in the forward exchange rate of all countries analyzed.
Prologue to a Unified Portfolio Theory
Miller's Equilibrium, Shareholder Leverage Clienteles, and Optimal Capital Structure
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