Predicting the equity market with option-implied variables

We comprehensively analyze the predictive power of several option-implied variables for monthly S&P 500 excess returns and realized variance. The correlation risk premium (CRP) and the variance risk premium (VRP) emerge as strong predictors of both excess returns and realized variance. This is true both in- and out-of-sample. Our results also reveal that statistical evidence of predictability does not necessarily lead to economic gains. However, a timing strategy based on the CRP leads to utility gains of more than 5.03% per annum. Forecast combinations provide stable forecasts for both excess returns and realized variance, and add economic value.     

Asymptotic results for the risk process based on marked point processes

Abstract

In this paper asymptotic properties for the risk process will be studied when the number of risk units tends to infinity. The paper extends asymptotic properties for the classical risk process to more general processes. In the classical risk process the claim amounts are assumed independent and identically distributed, and the claim number process is a homogeneous Poisson process.

The key tool is point process theory with associated martingale theory. The results are illustrated by examples.     

Uncertain Climate Change in an Intergenerational Planning Model

A three-generation planning model incorporating uncertain climate change is developed. Each generation features a production activity based on capital and an exhaustible resource. An irreversible climate change may occur in period two or three, reducing the productivity for this and the remaining generation. The model is solved by stochastic dynamic programming. If the climate impact and climate change probability is constant, the optimal period one (and two) resource extraction is larger than for the reference case of climate stability. If, however, climate impact and climate change probability increases with increased aggregate resource use, this result is reversed.     

A new estimator for trade costs and its small sample properties

This paper discusses the estimation of parameters of a traditional transportation model, as it is typically present in so-called Takayama–Judge type spatial price equilibrium models. In contrast to previously used estimation methods, observations of regional prices as well as of trade costs are used in a direct estimation of the first order conditions. The proposed method uses bi-level programming techniques to minimize a weighted least squares criterion under the restriction that the estimated parameters satisfy the Kuhn–Tucker conditions for an optimal solution of the transport model. A penalty function and a smooth reformulation are used to iteratively approximate the complementary slackness conditions. Monte-Carlo simulations are used to trace out some properties of the estimator and compare it with a traditional calibration method. The analysis shows that the proposed technique estimates prices as well as trade costs more precisely than the traditional calibration method. It is suggested to apply the same method to a range of linear and quadratic models.     

The impact of culture and ecology on cooperation in a common-pool resource experiment

Context affects decision-making in many ways. In this paper we explore differences in cooperation behaviour between communal farmers in Namibia and South Africa, who share the same ethnic origin but have had different historical and ecological constraints. We report on a series of field experiments based on a common-pool resource model. Our experimental design is framed according to the grazing situation in semi-arid rangelands. Dependent on the behaviour in previous rounds, participants are facing different states of resource availability with varying need to cooperate, coordinate and to be patient. While only 4% of the grazing areas in South Africa remain in good quality, Namibians achieve a level of 42%. We analyse the different experimental states and find that Namibians behave in all states more cooperatively. We argue that the large difference between the two regions is due to a combination of different historical developments and ecological preconditions: Namibian resource users have a longer experience in cooperative resource management and intact traditional norms. Moreover, the real-life payoffs to cooperation are higher in Namibia stemming from ecological factors.     

Optimal portfolio allocation under the probabilistic VaR constraint and incentives for financial innovation

We characterize the investor’s optimal portfolio allocation subject to a budget constraint and a probabilistic VaR constraint in complete markets environments with a finite number of states. The set of feasible portfolios might no longer be connected or convex, while the number of local optima increases exponentially with the number of states, implying computational complexity. The optimal constrained portfolio allocation may therefore not be monotonic in the state–price density. We propose a type of financial innovation, which splits states of nature, that is shown to weakly enhance welfare, restore monotonicity of the optimal portfolio allocation in the state-price density, and reduce computational complexity. We are grateful to Ken Kavajecz and seminar participants at Harvard Business School, London School of Economics, Maastrict University, ZEI Bonn, and Danske Bank Symposium on Asset allocation and Value-at-Risk: Where Theory Meets Practice for comments on an earlier version of this paper. We also benefitted from the suggestions of two anonymous referees. Our papers can be downloaded from www.RiskResearch.org.     

Stock index dynamics and derivatives pricing with stochastic interest rates

The paper analyzes the equilibrium valuation of stock index derivatives in an economy with stochastic interest rates and with a representative agent having time-additive power utility. The equilibrium short interest rate dynamics and the equilibrium term structure of interest rates are described by an affine one-factor term structure model. In equilibrium the value of the stock index is a non-trivial function of the short interest rate. The paper investigates the consequences of the induced stock index dynamics for the theoretical spreads between index forward prices and index futures prices and the consequences for the valuation of options on stock index futures.The paper was written while the author was a visiting scholar at Department of Finance, Kellogg Graduate School of Management, Northwestern University. I thank for helpful comments and suggestions from Gurdip Bakshi, Avi Bick, Menachem Brenner (the editor), Zhiwu Chen, San-Lin Chung, Mark Fisher, Andreas Höger, Marti Subrahmanyam, two anonymous referees, and participants at the Western Finance Association meeting in San Diego, the European Financial Management Association meeting in Istanbul, the European Finance Association meeting in Vienna, and the Center of Analytical Finance workshop at University of Aarhus. Financial support from the Danish Natural Science and Social Science Reasearch Councils is gratefully acknowledged.     

Environmental quality indicators: Background,principles and examples from Norway

The need for a simple and general overview of the development in the state of the environment has led to work on environmental indicators in several countries and international organizations. Except for the basic common requirement of providing an overview, the works vary a great deal with regard to final aim, target groups, classification and, hence, choice of indicators. This paper gives an overview of the work carried out in the Central Bureau of Statistics of Norway within this field, with emphasis on the basic principles behind the choice of indicators. A hierarchical system of indicator sets is proposed, and examples of indicators are presented. Also, a brief overview of work carried out elsewhere is included.     

Hedging Equity-Linked Life Insurance Contracts

Abstract

This paper examines a portfolio of equity-linked life insurance contracts and determines risk-minimizing hedging strategies within a discrete-time setup. As a principal example, I consider the Cox-Ross-Rubinstein model and an equity-linked pure endowment contract under which the policyholder receives max(S_T , K) at time T if he or she is then alive, where S_T is the value of a stock index at the term T of the contract and K is a guarantee stipulated by the contract. In contrast to most of the existing literature, I view the contracts as contingent claims in an incomplete model and discuss the problem of choosing an optimality criterion for hedging strategies. The subsequent analysis leads to a comparison of the risk (measured by the variance of the insurer’s loss) inherent in equity-linked contracts in the two situations where the insurer applies the risk-minimizing strategy and the insurer does not hedge. The paper includes numerical results that can be used to quantify the effect of hedging and describe how this effect varies with the size of the insurance portfolio and assumptions concerning the mortality.     

Demographic determinants of incident experience and risk perception: do high-risk groups accurately perceive themselves as high-risk?

This paper analyzes demographic determinants of incident experience and risk perception, as well as the relationship between the two, for eight different risk domains. Analyses were conducted by merging the results of a Swedish population-based survey, which includes approximately 15,000 individuals, with demographic and socio-economic register data. Being male was associated with higher incident experience yet a lower risk perception for nearly all risk domains. Lower socioeconomic status was associated with higher incident experience for falls, and being a victim of violence but lower incident experience for road traffic accidents. Lower socioeconomic status was also associated with higher risk perception for falls. On aggregate, ranking the different domains, respondents’ risk perception was in almost perfect correspondence to the ranking of actual incident experience, with the exception that the risk of being a victim of violence is ranked higher than indicated by actual incident experience. On a demographic group level, men and highly educated respondents perceive their risks to be lower than what is expected considering their actual incident experience.