Finding Pareto Optimal Insurance Contracts

This paper deals with on-line computation—or step-wise learning—of Pareto optimal insurance contracts. Our approach tolerates that the loss distribution might be unknown, intractable, or not well specified. Thus we accommodate fairly inexperienced parties. Losses are here simulated or observed, one at a time, and they cause iterated revisions of the premium. The mechanical and global nature of probability calculus thereby yields to more tentative, myopic procedures, possibly closer to how humans operate or reason in face of risk. Sequential revisions may also reduce the expense of insurers' time and money in seeking sufficient statistics. Emphasized below is the remarkable simplicity and stability of the resulting adaptive procedures. Special attention goes to catastrophic risks, and to subsidized or competitive insurance.     

Another view on optimal design for estimating the point of extremum in quadratic regression

In this paper we illustrate how certain design problems can be simplified by reparametrization of the response function. This alternative viewpoint provides further insights than the more traditional approaches, like minimax, Bayesian or sequential techniques. It will also improve a practitioner’s understanding of more general situations and their “classical” treatment.     

Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher''s Commodity Points Revisited

We propose that analysis of purchasing power parity (PPP) and the law of one price should explicitly take into account the possibility of “commodity points”—thresholds delineating a region of no central tendency among relative prices, possibly due to lack of perfect arbitrage in the presence of transaction costs and uncertainty. More than 80 years ago, Heckscher stressed the importance of such incomplete arbitrage in the empirical application of PPP. We devise an econometric method to identify commodity points. Price adjustment is treated as a nonlinear process, and a threshold autoregression offers a parsimonious specification within which both thresholds and adjustment speeds are estimated by maximum likelihood methods. Our model performs well using post-1980 data, and yields parameter estimates that appear quite reasonable: adjustment outside the thresholds might imply half-lives of price deviations measured in months rather than years, and the thresholds correspond to popular rough estimates as to the order of magnitude of actual transport costs. The estimated commodity points appear to be positively related to objective measures of market segmentation, notably nominal exchange rate volatility.J. Japan Int. Econ.December 1997,11(4), pp. 441–479. Department of Economics, University of California, Berkeley, California 94720-3880; and Department of Economics, Northwestern University, Evanston, Illinois 60208-2600.     

OPTIONS AND EFFICIENCY IN MULTIDATE SECURITY MARKETS

This paper extends the work of Ross (1976; Q. J. Econ. (90)1, 75–89) to multidate security markets. First, we show that if a primitive security separates states at the terminal date, then there exist multiperiod European options on that security generating dynamically complete markets. Second, we show that if a primitive security conditionally separates states at the terminal date, then there exist multiperiod European options on that security generating generically dynamically complete markets provided that certain conditions hold. Third, we show that there are economies for which the minimum number of multiperiod European options on a primitive security generating generically dynamically complete markets is relatively large. Finally, we show that in these economies, a relatively small number of multiperiod European options on possibly different portfolio strategies of primitive securities generates generically dynamically complete markets.     

Contract modifications and the basis behavior of live cattle futures

The purpose of this study was to assess the basis behavior of the Live Cattle Futures contract at the Chicago Mercantile Exchange (CME) before and after the 1995 contract changes. Additionally, an alternative method of basis calculation utilizing weighted mean futures prices versus settlement futures prices was compared to determine which method provides a better representation of the basis level. Within a regression model with heteroskedascity error framework, we found that the level of nearby basis in the period after June 1995 has shifted lower and the average monthly open interest of net commercial long positions has substantially increased after the contract modifications. These empirical results are consistent with the notion that more long activity entered the market in response to the contract modifications. Additionally, an alternative (new) measure of basis calculation (cash price minus weighted mean futures price) produced similar results to two other commonly used measures. In conclusion, the 1995 contract changes have neither increased nor decreased the volatility of live cattle basis. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:557–590, 2004     

Fashion consumers and fashion problem recognition style

Consumer spending over the life span of today's 18‐ to 25‐year‐old emerging adults will reach into the $10 trillion range. Emerging adults are a powerful force in shaping demand for consumer products. The problem recognition styles associated with emerging adults can help marketers understand this group of consumers and provide insight into what kinds of products, services, and messages will appeal to them as lifelong consumers. The purpose of this study was to examine differences between men and women and among fashion consumer groups in fashion problem recognition style. Participants were a convenience sample of emerging adult consumers from one Midwestern university in the US, 136 men and 158 women who completed the Measure of Fashion Innovativeness and Opinion Leadership, Fashion Problem Recognition Style Scale, and provided demographic information. Both fashion followers and men reflected a need‐based approach to problem recognition. Both fashion change agents and women reflected a want‐based approach to problem recognition. Male fashion followers differed from all other groups in indicating a need‐based approach to problem recognition. This study built on previous work by examining differences in problem recognition style owing to fashion consumer group and gender. The basic premise behind problem recognition style was validated; that is, actual state (need‐based) vs. ideal state (want‐based) approaches to fashion problem recognition did relate to fashion consumer group membership and gender.