Applications of Fuzzy Regression in Actuarial Analysis

In this article, we propose several applications of fuzzy regression techniques for actuarial problems. Our main analysis is motivated, on the one hand, by the fact that several articles in the financial and actuarial literature suggest using fuzzy numbers to model interest rate uncertainty but do not explain how to quantify these rates with fuzzy numbers. Likewise, actuarial literature has recently focused some of its attention in analyzing the Term Structure of Interest Rates (TSIR) because this is a key instrument for pricing insurance contracts. With these two ideas in mind, we show that fuzzy regression is suitable for adjusting the TSIR and discuss how to apply a fuzzy TSIR when pricing life insurance contracts and property‐liability policies. Finally, we reflect on other actuarial applications of fuzzy regression and develop with this technique the London Chain Ladder Method for obtaining Incurred But Not Reported Reserves.     

Experiments Testing Multiobject Allocation Mechanisms

This paper reports the results of over 130 auctions conducted under controlled conditions to examine the robustness of several auction mechanisms to allocate multiple objects. The simultaneous discrete auction process used by the Federal Communications Commission to allocate Personal Communications licenses was contrasted with a sequential auction and a combinatorial auction over a variety of demand conditions. In test environments created to check only the minimum competency of the procedures, the simultaneous discrete auction process produces highly efficient allocations, approaching levels similar to those found with a continuous form of the auction, and it outperforms a sequential auction. However, in environments created to stress test the procedures, a combinatorial auction outperforms the simultaneous discrete auction.     

Pareto optimality in continuous-time OLG economies

The aim of this paper is the achievement of a complete characterization of the Pareto optimality of competitive equilibria for deterministic, pure exchange, continuous-time economies with a countable number of overlapping generations, where each consumer’s life-span consists in a bounded interval of time. For such an environment, we obtain separate sufficient and necessary conditions for Pareto optimality in the form of the Cass’ criterion, that is, in terms of the equilibrium prices. However, these conditions are not equivalent in general. Therefore, in order to get that equivalence we are compelled to impose certain restrictions, either on consumers’ lifetimes, assuming that all of them have the same longevity, or on the dynamic behaviour of relative intertemporal equilibrium prices. In both cases, we are able to derive a single condition that is sufficient and necessary for efficiency, thus achieving full characterizations.     

Multidimensionality and Renegotiation: Evidence from Transport-Sector Public-Private-Partnership Transactions in Latin America

Multidimensional auctions are a natural, practical solution when governments pursue more than one objective in their public-private-partnership transactions. However, multi-criteria auctions seem difficult to implement and vulnerable to corruption and opportunistic behavior of both parties involved. Using data from road and railway concessions in Latin America, the paper examines the probability of renegotiation in connection with the selected award criteria. It shows that auctioneers tend to adopt the multidimensional format when the need for social considerations, such as alleviation of unemployment, is high. But more renegotiations would likely happen when the multidimensional format is used. Good governance, particularly regulatory quality and anti-corruption policies, can mitigate the renegotiation problem.     

Explaining Differences in Milk Quota Values: The Role of Economic Efficiency

This article explores the relationship between milk quota values and economic efficiency in order to analyze government interventions in quota allocations among producers. For this purpose, we estimate quota values using a panel of Spanish dairy farms. Quota values are then decomposed into economic efficiency, price, and scale effects in order to assess the relative influence of these factors. We find that efficiency is important in explaining quota values but is uncorrelated with observable farm characteristics. This casts doubts on the government's ability to allocate quotas to efficient farms.     

The fragile capital structure of hedge funds and the limits to arbitrage

During a financial crisis, when investors are most in need of liquidity and accurate prices, hedge funds cut their arbitrage positions and hoard cash. The paper explains this phenomenon. We argue that the fragile nature of the capital structure of hedge funds, combined with low market liquidity, creates a risk of coordination in redemptions among hedge fund investors that severely limits hedge funds' arbitrage capabilities. We present a model of hedge funds' optimal asset allocation in the presence of coordination risk among investors. We show that hedge fund managers behave conservatively and even abstain from participating in the market once coordination risk is factored into their investment decisions. The model suggests a new source of limits to arbitrage.     

Dealing with demand forecasting games in transport privatization

Privatization has increased the number of players in the decision-making process for major transport investment decisions. The main argument of this paper is that this fragmentation is creating opportunities for strategic decision-making by each actor and that this is particularly obvious in the context of demand forecasting. This paper explores some of the specific causes and consequences of this new situation, including the perverse incentives, linked to the diversity of the objectives across the actors and to the risk allocation induced by the regulatory regime. It illustrates the issues and possible solutions from a wide range of modal and country experiences. In particular, it discusses the role of the newly independent sector regulators in reconciling these diverse goals and their limitations in view of the major information asymmetries problems they face.     

VALUING REAL OPTIONS: CAN RISK‐ADJUSTED DISCOUNTING BE MADE TO WORK?

This paper examines three alternative approaches to valuing real options: (1) the standard option pricing technique using "risk-neutral" probabilities; (2) the use of risk-adjusted discount rates; and (3) discounting certainty-equivalent values with a riskless discount rate. As suggested by the title, a question of particular interest is whether an approach based on risk-adjusted discount rates can be "made to work" for valuing options. The answer is yes. Indeed, the authors show that any of the three approaches will provide a correct valuation if properly employed.
Nevertheless, there are important differences in the information requirements associated with each of the three methods. Another important issue is the relative degree of difficulty in calculating the correct option value. When these two considerations are taken into account, the risk-neutral option pricing procedure generally proves to be the preferred method. It tends to be computationally more convenient—often much more convenient—and to require less information than either the risk-adjusted discounting or certainty-equivalent procedures.