Left-side Relatively Weak Increases in Risk and Their Comparative Statics

This paper proposes a new concept, a left-side relatively weak increase in risk (L-RWIR) order, that extends the definition of a relatively weak increase in risk (RWIR) order. We show that, for the class of linear payoffs, one can obtain an appealing comparative statics result for L-RWIR shifts imposing additional restrictions on risk preferences of a risk-averse decision maker.JEL classification: D81.revised version received October 10, 2003Acknowledgements The authors would like to thank an anonymous referee for insightful comments and useful suggestions.     

Numerical Computation of Equilibrium Bid Functions in a First-Price Auction with Heterogeneous Risk Attitudes

We use numerical methods to compute Nash equilibrium (NE) bid functions for four agents bidding in a first-price auction. Each bidderi is randomly assigned:r _i [0,r _max], where 1 –r _i is the Arrow-Pratt measure of constant relative risk aversion. Eachr _i is independently drawn from the cumulative distribution function (·), a beta distribution on [0,r _max]. For various values of the maximum propensity to seek risk,r _max, the expected value of any bidder's risk characteristic,E (r _i ), and the probability that any bidder is risk seeking,P (r _i > 1), we determine the nonlinear characteristics of the (NE) bid functions.     

Global financial crisis and dependence risk analysis of sector portfolios: a vine copula approach

We use regular vine (r-vine), canonical vine (c-vine) and drawable vine (d-vine) copulas to examine the dependence risk characteristics of three 20-stock portfolios from the retail, manufacturing and gold-mining equity sectors of the Australian market in periods before, during and after the 2008–2009 global financial crisis (GFC). Our results indicate that the retail portfolio is less risky than the manufacturing counterpart in the crisis period, while the gold-mining portfolio is less risky than both the retail and manufacturing sector portfolios. Both the retail and gold stocks display a higher propensity to yield positively skewed returns in the crisis periods, contrary to the manufacturing stocks. The r-vine is found to best capture the multivariate dependence structure of the stocks in the retail and gold-mining portfolios, while the d-vine does it for the manufacturing stock portfolio. These findings could be used to develop dependence risk- and investment risk-adjusted strategies for investment, rebalancing and hedging which more adequately account for the downside risk in various market conditions.     

Ex ante capital position,changes in the different components of regulatory capital and bank risk

We investigate the impact of changes in capital of European banks on their risk-taking behaviour from 1992 to 2006, a time period covering the Basel I capital requirements. We specifically focus on the initial level and type of regulatory capital banks hold. First, we assume that risk changes depend on banks’ ex ante regulatory capital position. Second, we consider the impact of an increase in each component of regulatory capital on banks’ risk changes. We find that, for highly capitalized, adequately capitalized and strongly undercapitalized banks, an increase in equity or in subordinated debt positively affects risk. Moderately undercapitalized banks tend to invest in less risky assets when their equity ratio increases but not when they improve their capital position by extending hybrid capital or subordinated debt. On the whole, our conclusions support the need to implement more explicit thresholds to classify European banks according to their capital ratios but also to clearly distinguish pure equity from hybrid and subordinated instruments.     

Expected utility inequalities: theory and applications

Suppose we know the utility function of a risk averse decision maker who values a risky prospect X at a price CE. Based on this information alone I develop upper bounds for the tails of the probabilistic belief about X of the decision maker. In the paper I also illustrate how to use these expected utility bounds in a variety of applications, which include the estimation of risk measures from observed data, option valuation, and the study of credit risk. I would like to thank John Cochrane, Tom Cosimano, Amanda Friedenberg, George Korniotis, Markus Brunermeier and Paul Schultz for helpful discussions and to participants at two Notre Dame seminars, at the 2006 Spring Midwest Economic Theory and International Economics Conference, and at the 2006 Australasian Meeting of the Econometric Society for their very useful comments. I began working on this project during a year-long visit to the Central Bank of Venezuela. I gratefully acknowledge their hospitality and financial support.     

The relation between two different notions of direct and indirect input requirements

Ki-Jun Jeong (1982) proposed to distinguish between the notion of direct and indirect input requirements to support a unit of final demand (r_f) and that to produce a unit of gross output (r_g) in the open input-output model. In this note the two notions are related by the relation r_f = r_gc₁₁, where c₁₁ is direct and indirect output requirements to support a unit of final demand, or c₁₁ = 1 + r_f.     

Optimal Taxation of Risky Human Capital*

In a two‐period life‐cycle model with ex ante homogeneous households, earnings risk, and a general earnings function, we derive the optimal linear labor tax rate and optimal linear education subsidies. The optimal income tax trades off social insurance against incentives to work. Education subsidies are not used for social insurance, but they are only targeted at offsetting the distortions of the labor tax and internalizing a fiscal externality. Both optimal education subsidies and tax rates increase if labor and education are more complementary, because education subsidies indirectly lower labor tax distortions by stimulating labor supply. Optimal education subsidies (taxes) also correct non‐tax distortions arising from missing insurance markets. Education subsidies internalize a positive (negative) fiscal externality if there is underinvestment (overinvestment) in education because of risk. Education policy unambiguously allows for more social insurance if education is a risky activity. However, if education hedges against labor‐market risk, optimal tax rates could be lower than in the case without education subsidies.     

Perceived trade-off between education and sports career: evidence from professional football

To explore the attitudes towards risky career choices of young people in highly competitive environments, we surveyed almost 1000 football players in the youth academies of German professional clubs (Bundesliga), who must generally decide early in their careers whether or not to risk quitting school to focus solely on a professional football career. Based on the survey responses, we empirically analysed which factors influence these youths’ tendencies to choose a high-risk career option over a lower risk one. Our results seem to indicate that such risk taking in competitive environments can be explained by potential benefits expected from this decision, as well as judgments about the likelihood of achieving the desired career. Risk attitudes towards career choices vary by differences in individuals’ estimates of the potential benefits and in particular, in their own assessments of the likelihood of success, which is an important driver of risk acceptance. We also found that opportunity cost considerations influence risk acceptance: the better the low-risk option, the less willing the individual to give it up for a high-risk alternative. In addition, both national origin and level of cultural integration play a role in attitudes towards risky career choices, with reductions in the latter increasing the risk premium of quitting school.     

Self‐Directed Pensions: Gender,Risk, and Portfolio Choices*

In this paper, I investigate gender differences in financial risk‐taking from a new perspective, and I show that gender plays a different role across the risk distribution. To evaluate risk‐taking, I exploit portfolio choices following a reform that entitles almost the entire Swedish workforce to choose a risk profile for a part of their public‐pension contributions. The novel finding is that portfolio risk does not differ much between the men and women who choose less risky portfolios, while the men who choose risky portfolios take on significantly more risk than do the women who choose risky portfolios. The findings are robust to investors choosing the default alternative, chasing past returns, rebalancing, and different measures of risk‐taking.     

A test for the too-big-to-fail hypothesis for European banks during the financial crisis

Motivated by the theoretical prediction of the opportunistic behaviour of large banks that face expected public intervention, we test a full and a partial form of the too-big-to-fail (TBTF) hypothesis. The full form of the hypothesis implies the increase in the risk undertakings and profitability of banks that exceed a certain dimension; the partial form of the hypothesis implies only an augmented risk appetite of large banks compared to their smaller counterparts. The examined area is the European banking industry, whose behaviour is observed over the first wave of the present financial crisis (2007/09). The estimation of a quadratic fit that links change in a bank’s credit risk profile and profitability retention rates with a bank’s size suggests the existence of a partial form of the TBTF hypothesis. However, a more precise, local rolling windows estimation of the size sensitivities reveals that large banks – those whose liabilities exceed approximately 2% of the country of origin’s GDP (15% of our sample) – show an increase in credit risk profile and a superior capability of retaining higher ROA scores, vis-à-vis their smaller counterparts. With the caveats of our investigation, we interpret these results as evidence of a full form of the TBTF hypothesis.     

Background risk and the demand for state-contingent claims

Summary. We consider the demand for state-contingent claims, in the presence of an independent zero-mean, non-hedgeable background risk. An agent is defined to be generalized risk averse if he/she chooses a demand function for contingent claims with a smaller slope everywhere, given a simple increase in background risk. We show that the conditions for standard risk aversion, that is positive, declining absolute risk aversion and prudence, are necessary and sufficient for generalized risk aversion.Received: 13 February 2002, Revised: 10 February 2003, JEL Classification Numbers: D52, D81, G11. Correspondence to: Guenter FrankeWe are grateful to Louis Eeckhoudt, Christian Gollier, Harris Schlesinger and an unknown referee for valuable comments.     

Pension Plan Funding,Technology Choice,and the Equity Risk Premium

In this paper, the impact of Lazear contracts with defined‐benefit pensions on aggregate technology composition and the aggregate risk premium is examined. In the presence of capital market constraints affecting workers, defined‐benefit pensions bias the economy towards risk‐free production. Leveraging the risky technology relaxes the constraints and results in more risky production and a fall in the aggregate risk premium. This effect holds with risky debt and low pension shortfall risk but breaks down with high pension shortfall risk. A key prediction is that as Lazear contracts become less common, risky production will increase and the aggregate risk premium will fall.     

On the uniqueness of subjective probabilities

Summary The purpose of this paper is twofold: First, within the framework of Savage (1954), we suggest axiomatic foundations for the representation of event-dependent preference relations over acts. This representation has the form of expectation of event-debendent utility with respect to non-unique subjective probabilities on the set of states. Second, we give an economic-theoretic motivation for selecting a unique probability distribution as an appropriate concept of subjective probabilities. However, unlike in Savage's theory, this notion of subjective probabilities does not necessarily represent the decisions-maker's belief regarding the likelihood of events.Our approach involves a departure from Savage's postulate P4, which guarantees the completeness of Savage's likelihood relation on the set of all events. Instead, we assume the existence of a finite partition of the set of states, {S ₁,...S _n}, such that, for events within each element of this partition P4 is satisfied. This weakening of Savage's axioms suffices for the existence of an expected event-dependent utility representation, but not for the uniqueness of the subjective probabilities.In many economic problems involving decision-making under uncertainty the existence of a unique probability is presumed and, in fact, is essential for the statement of the result. An example is Arrow's (1965) finding that all risk averse decision-makers will invest in a risky asset provided its expected rate of return exceeds that of an alternative risk-free asset. We show that a unique probability distribution can be chosen so as to render such results meaningful. Namely, any risk averse decision-maker will hold a positive position in the risky asset if and only if its expected rate of return with respect to the chosen probability exceeds that of the riskless asset.The research described in this paper began while the authors visited the Mathematisches Forschungsinstitut Oberwolfach, Germany. It was carried out in part while the second author visited the Santa Fe Institute in Sante Fe, New Mexico, USA and the Autonomous University of Barcelona, Spain. The second author would also like to acknowledge the financial support by NSF grant 911873.     

Psychiatric inpatient cost of care before and after admission at a residential subacute step-up/step-down mental health facility

Background: Residential step-up/step-down services provide transitional care and reintegration into the community for individuals experiencing episodes of subacute mental illness. This study aims to examine psychiatric inpatient admissions, length of stay, and per capita cost of care following the establishment of a step-up/step-down Prevention And Recovery Care (PARC) facility in regional Australia.

Methods: This was a pragmatic before and after study set within a participatory action research methodology. The target sample comprised patients at a PARC facility over 15?months. Six-month individual level data prior to study entry, during, and over 6-months from study exit were examined using patient activity records. Costs were expressed in 2015–2016AU$.

Results: An audit included 192 people experiencing 243 episodes of care represented by males (58%), mean age?=?39.3 years (SD?=?12.7), primarily diagnosed with schizophrenia (48%) or mood disorders (30%). The cost of 1?day in a psychiatric inpatient unit was found to be comparable to an average of 5 treatment days in PARC; the mean cost difference per-bed day (AU$1,167) was associated with fewer and shorter inpatient stays. Reduced use of inpatient facility translated into an opportunity cost of improved patient flow equivalent to AU$12,555 per resident (bootstrapped 95% CI?=?$5,680–$19,280). More noticeable outcomes were observed among those who stayed in PARC for longer during index admission (r_s = 0.16, p?=?0.024), who have had more and lengthy inpatient stays (r_s = 0.52, p?r_s = 0.69, p?p?Conclusion: Efforts should be directed toward the adoption of cost-effective alternatives to psychiatric inpatient facilities that provide comparable or improved patient outcomes.     

Bank credit risk,grain production and the Indian economy

ABSTRACT

We generate measures of banking risk across Indian states and examine the relationship between banking risk and economic production in India. We find that banking risk co-moves with total grain production (TPG) and real gross domestic product (RGDP). The long-term impact of banking risk differs across Indian states. Ten states are negatively affected while one state maintains growth in RGDP. Likewise, the results show that six states are negatively affected while two states maintain growth in TPG. Banking risk is found to induce a larger decline in TPG than in RGDP at the national and state levels. Overall, banking risk shocks induce negative effects on both TPG and RGDP.     

Jeremy Bentham and Adam Smith on the usury laws: a ‘Smithian’ reply to Bentham and a new problem

Adam Smith justified the contemporary usury laws and was severely criticised by Bentham and most modern writers with the important exception of J.M. Keynes. We argue that pace Bentham, Smith did not intend to preclude loan financing of all ‘risky’ ventures and give a ‘monopoly’ to safe investments and did not neglect the potential emergence of black credit markets. Yet Smith ought to have modified his position independently of Bentham's criticism, considering a marked rise in the rate at which governments borrowed in the late 1770s.     

DO PSYCHOLOGICAL SHOCKS AFFECT FINANCIAL RISK TAKING BEHAVIOR? A STUDY OF U.S. VETERANS

Traditional economic theories assume that individuals are endowed with certain risk preferences that are unaltered by experiences. However, recent evidence indicates that macroeconomic shocks do have an effect on an individual's willingness to take financial risks. In the context of investment decisions, we examine empirically whether an individual's risk preferences are affected by other types of traumatic life experiences. Using a unique proprietary data set, we investigate whether personal traumatic experiences—such as the combat experiences of veterans—have long‐term effects on financial risk‐taking behavior. We find that having experienced combat decreases the probability of investing in risky assets. Key policy implications are noted. (JEL G11, D14)     

The role of legal status in influencing bank financing and new firm growth

We provide an empirical assessment of the suggestion, based on Severo (2012), to use a systemic liquidity risk index (SLRI) for estimating liquidity premia that could be charged on large banks as a compensation for the implicit liquidity support obtained from public authorities (Blancher et al., 2013). To this end we compute, over the period January 2004–December 2012, a parsimonious and fully documented SLRI. We also investigate its statistical significance in explaining the level and variability of stock returns for a group of large international banks across the subprime and the Eurozone sovereign debt crises. Main findings are two: our more parsimonious SLRI is close to Severo’s but provides a stronger signal of liquidity stress and recovery episodes; we consistently fail to detect, within and across the two crises, a stable group of banks among the global systemically important ones listed by the Financial Stability Board.     

Association between glycemic control and short-term healthcare costs among commercially insured diabetes patients in the United States

Abstract

Objectives:

Glycemic control, measured by HbA_1c, is well known to be a risk marker for long-term costly diabetes-related complications. The relationship between HbA_1c and short-term costs is unclear. This study investigates how HbA_1c is correlated to short-term diabetes-related medical expenses.

Methods:

Patients with diabetes with an HbA_1c reading ≥6% between April and September 2007 were identified from a large US managed-care organization. Healthcare utilization data was obtained during the subsequent 12-month period. Multivariate analyses were performed to estimate the correlation between HbA_1c and diabetes-related healthcare costs.

Results:

In all, 34,469 and 1,837 patients with type 2 and type 1 diabetes, respectively, were identified with an HbA_1c reading ≥6% (mean HbA_1c: 7.4% and 7.9%). The majority of patients with type 1 diabetes were treated with insulin, while most patients with type 2 diabetes were treated with metformin. The multivariate analysis showed that several characteristics, including HbA_1c, significantly correlate with diabetes-related medical costs for both patients with type 1 and type 2 diabetes. A 1-percentage-point increase in HbA_1c will, on average, lead to a 6.0% and 4.4% increase in diabetes-related medical costs for type 1 and type 2 diabetes, respectively. This corresponds to an annual cost increase of $445 and $250 for patients with type 1 and type 2 diabetes, respectively.

Limitations:

Retrospective data analyses inherently associated with selection bias which can only partly be adjusted by statistical techniques. Furthermore, the study population is not necessarily representative of the general population and there can be isolated coding or data errors in the dataset.

Conclusions:

These results suggest that tighter glycemic control is associated with short-term cost benefits for patients with diabetes. This supplements conventional wisdom that HbA_1c affects risk of long-term complications and long-term costs.