The valuation of contingent claims markets

This article studies an agent's valuation of the right to trade in a complete contingent claims market. The proposed measure generalizes the Pratt (1964) risk premium, which captures the willingness to pay to replace a given risky wealth prospect with an actuarially equivalent, nonrisky wealth. Specifically, we define ageneralized risk premium to be the willingness to pay to trade at going market prices. If state prices are actuarially fair, the Pratt premium is obtained as a special case. We derive several properties of this generalized premium and note its relationship to the option price of a public project under uncertainty.     

Age,autos, and the value of a statistical life

The value of a statistical life (VSL) is used to assign a dollar value to the benefits of health and safety regulations. Many of those regulations disproportionately benefit older people, but most estimates of the VSL come from hedonic wage regressions with few older workers and no retirees. Using automobile purchase decisions, I estimate a VSL for individuals from the age of 18 up to the age of 85. Combining information on vehicle holdings and use, household attributes, used vehicle prices, crash test results, and yearly fatal accidents for each make, model, and vintage automobile, I calculate a separate willingness to pay for reduced mortality for different age groups. I find a significant inverted-U shape to the age-VSL function that ranges from $1.5 to $19.2 million (in 2009 dollars). The shape and magnitude of the vehicle-based age-VSL relationship corroborate labor market estimates and extend the age range of revealed preference evidence on the relationship between age and the VSL.     

Demand for health risk reductions: A cross-national comparison between the U.S. and Canada

Using a large stated preference survey conducted across the U.S. and Canada, we assess differences in individual willingness to pay (WTP) for health risk reductions between the two countries. Our utility-theoretic choice model allows for systematically varying marginal utilities for avoided future time in different adverse health states (illness-years, recovered/remission years, and lost life-years). We find significant differences between Canadian and U.S. preferences. WTP also differs systematically with age, gender, education, and marital status, as well as a number of attitudinal and subjective health-perception variables. Age profiles for WTP are markedly different across the two countries. Canadians tend to display flatter age profiles, with peak WTP realized at older ages.     

How Much Internalization of Nuclear Risk Through Liability Insurance?

An important source of conflict surrounding nuclear energy is that with a very small probability, a large-scale nuclear accident may occur. One way to internalize the associated financial risks is through mandating nuclear operators to have liability insurance. This paper presents estimates of consumers' willingness to pay for increased financial security provided by an extension of coverage, based on the 'stated choice' approach. A Swiss citizen with median characteristics may be willing to pay 0.14 US cents per kwh to increase coverage beyond the current CHF 0.7 billion (bn.) (US$ 0.47 bn.). Marginal willingness to pay declines with higher coverage but exceeds marginal cost at least up to CHF 4 bn.(US$ 2.7 bn.). An extension of nuclear liability insurance coverage therefore may be efficiency-enhancing.     

Average willingness to pay for disease prevention with personalized health information

Personal health related information modifies individuals’ willingness to pay for disease prevention programs inasmuch as it allows health status assessment based on intrinsic (instead of average) characteristics. In this paper, we examine the effect that personalized information about the baseline probability of disease has on the average willingness to pay for programs reducing either the probability of disease (self-protection) or the severity of disease (self-insurance). We show that such information raises the average willingness to pay for self-protection while it increases the average willingness to pay for self-insurance if health and wealth are complements (i.e. the marginal utility of wealth rises with health).     

Age, Health and the Willingness to Pay for Mortality Risk Reductions: A Contingent Valuation Survey of Ontario Residents

We present the results of a contingent valuation survey eliciting willingness to pay (WTP) for mortality risk reductions. The survey was self-administered using a computer by 930 persons in Hamilton Ontario aged 40 to 75. Visual and audio aides were used to enhance risk comprehension. Mean WTP figures for a contemporaneous risk reduction imply a value of a statistical life of approximately C$l.2 to C$3.8 million (1999 C$). Mean WTP is constant with age up to 70 years, and is about 30 percent lower for persons aged 70 and older. WTP is unaffected by physical health status, but is affected by mental health.     

Precautionary behavior and willingness to pay for a mortality risk reduction: Searching for the expected relationship

This paper examines within-sample correlation between six different precautionary behaviors and stated willingness to pay for a mortality risk reduction. The paper also shows estimates of the value of a statistical life based on seat belt and bicycle helmet use as well as based on the stated willingness to pay for a risk reduction in traffic mortality. Contrary to the theoretical expectations, no correlation is found between precautionary behavior and stated willingness to pay. One major explanation is that females and the elderly take more precaution, but state a lower WTP for a risk reduction. The estimates of VSL from the different approaches are $11.0 million, $5.0 million and $2.8 million from stated WTP, bicycle helmet use and seat belt use, respectively.

Imprecise preferences and the WTP-WTA disparity

This article reports the results of a study designed to elicit willingness to pay (WTP) and willingness to accept (WTA) values for changes in the risk of nonfatal road injuries. We examine the possibility that individuals' preferences over combinations of wealth, risk, and safety are imprecise, and that this imprecision might result in the observed disparity between WTP and WTA measures of value. The results confirm that individuals' preferences for safety are significantly imprecise, but that this alone is insufficient to explain more than part of the disparity. Indeed, respondents' estimates of the minimum that they would be prepared to accept for a risk increase frequently exceed the maximum that they would be prepared to pay for an equivalent risk reduction.     

Is Transport Safety More Valuable in the Air?

Using a contingent valuation survey, people's willingness to pay for a given risk reduction is found to be much larger, consistently more than two times as large, when traveling by air compared to by taxi. Follow-up questions revealed that an important reason for this discrepancy is that many experience a higher mental suffering from flying, and that they are willing to pay to reduce this suffering. It was also consistently found that people are willing to pay more for a certain risk reduction if the original price was higher. Policy implications are discussed.     

The Value of Safety as Revealed in the Swedish Car Market: An Application of the Hedonic Pricing Approach

In this article the hedonic regression technique is used to estimate the value of traffic safety, using information from the Swedish market for automobiles. The results from the study show that the market price of an automobile is negatively correlated with its inherent risk level, i.e. Swedish car consumers pay a safety premium for safer cars. In comparison to previous Swedish stated-preference studies, this study reveals a lower willingness to pay for additional car safety, which might be a result of the interaction between government interventions and individual self-insurance and self-protection.JEL Classification: C51, D61, J28     

Effects of Disease Type and Latency on the Value of Mortality Risk

We evaluate the effects of disease type and latency on willingness to pay (WTP) to reduce environmental risks of chronic, degenerative disease. Using contingent-valuation data collected from approximately 1,200 respondents in Taiwan, we find that WTP declines with latency between exposure to environmental contaminants and manifestation of any resulting disease, at a 1.5 percent annual rate for a 20 year latency period. WTP to reduce the risk of cancer is estimated to be about one-third larger than WTP to reduce risk of a similar chronic, degenerative disease. The value of risk reduction also depends on the affected organ, environmental pathway, or payment mechanism: estimated WTP to reduce the risk of lung disease due to industrial air pollution is twice as large as WTP to reduce the risk of liver disease due to contaminated drinking water.     

Paying for Old Age: Can People on Lower Incomes Afford Domiciliary Care Costs?

The Labour government has made it clear that it will not countenance major changes in the financing of long–term care for older people in England and Wales. One consequence is that people on modest retirement incomes will continue to have to pay for elements of their care in their own homes. The government also implicitly assumes that people of working age, on average and below–average earnings, are expected to save in order to pay for long–term care. However, evidence about individuals' willingness and ability to save and to pay for long–term care is scanty. Accordingly, an interview survey of 100 people—today's and tomorrow's pensioners—was undertaken in June and July 2000. They were asked detailed questions about their financial circumstances, and about their ability to pay more towards their own health and social care costs, now and in the future. The results suggest that today's pensioners on average and lower incomes are experiencing difficulties in paying for care services in their own homes. Tomorrow's pensioners who are currently on average and lower incomes will struggle to pay for care services in their own homes. The results also support the view that people tend to overestimate their retirement incomes and do not understand how long–term care is financed. They think that the government can and should pay for long–term care.     

Does trust increase willingness to pay higher taxes to help the needy?

The article studies the causal effect of trust on the willingness to pay higher taxes to help the needy in a sample of 29 countries of Eastern and Southern Europe, and the former Soviet Union and Mongolia. It is hypothesized that interpersonal trust leads to a greater willingness to pay taxes to help the needy since (i) trust increases the likelihood of helping strangers; (ii) trust fosters solidarity and cooperation when working to solve common problems in society; and (iii) trust reduces suspicion with respect to the perceived misuse of redistributed money. Three key findings are that the more people trust each other, the more they are ready to support the welfare state; the effect of trust on welfare state support holds even in a contextual environment characterized by rather lower levels of trust and relatively underdeveloped systems of redistribution; and higher individual‐level trust fosters tax morale and helps deter tax evasion.     

The Coming of an Aged Society in Taiwan: Issues and Policies

For most advanced industrialized countries, an aging society has been a national issue since the 1970s. However, Taiwan was not aware of this issue until 1993, the year when the old‐age population reached 7.0%. As an aging nation under the definition of the United Nations, the Taiwanese government began to pay more attention to the aging population, and executed several policies in response to this demographic transition. First, this article examines Taiwan’s demographic transition from an aging society to an aged society, and its impacts. Second, it demonstrates the responses of Taiwan to the coming of an aged society and explores crucial issues that Taiwanese society is facing.     

Willingness to accept equals willingness to pay for labor market estimates of the value of a statistical life

Our research clarifies the conceptual linkages among willingness to pay for additional safety, willingness to accept less safety, and the value of a statistical life (VSL). We present econometric estimates using panel data to analyze the VSL levels associated with job changes that may affect the worker’s exposure to fatal injury risks. Our baseline VSL estimates are $7.7 million and $8.3 million (Y$2001). There is no statistically significant divergence between willingness-to-accept VSL estimates associated with wage increases for greater risks and willingness-to-pay VSL estimates as reflected in wage changes for decreases in risk. Our focal result contrasts with the literature documenting a considerable asymmetry in tradeoff rates for increases and decreases in risk. An important implication for policy is that it is reasonable to use labor market estimates of VSL as a measure of the willingness to pay for additional safety.     

Probabilistic Insurance

Probabilistic insurance is an insurance policy involving a small probability that the consumer will not be reimbursed. Survey data suggest that people dislike probabilistic insurance and demand more than a 20% reduction in the premium to compensate for a 1% default risk. While these preferences are intuitively appealing they are difficult to reconcile with expected utility theory. Under highly plausible assumptions about the utility function, willingness to pay for probabilistic insurance should be very close to willingness to pay for standard insurance less the default risk. However, the reluctance to buy probabilistic insurance is predicted by the weighting function of prospect theory. This finding highlights the potential role of the weighting function to explain insurance.     

The impact of social security reform on the labor market: The case of Colombia

This paper simulates the effects of three increasingly bolder reforms in the Colombian social protection system: the equalization of salaried and self-employed labor contributions; the removal of payroll taxes, parafiscales; and the complete delinking of social protection benefits from labor status. We collect nationally representative information concerning individual willingness to pay for several packages of social security benefits; identify and quantify – for the first time – three specific distortions caused by existing social security and social assistance systems; and simulate the gains that social protection reforms would bring about in terms of reduced labor distortions. We find that workers in Colombia, regardless of occupation, have a very similar willingness to pay for the full insurance package – below 20% of their labor earnings – and very similar valuation of social protection services – about 50% below par. Labor distortions are large, as expected from very high labor costs, but we quantify an implicit formality tax and informality subsidy ranging between 2 and 27 percent of different representative workers’ earnings. Critically, the long-discussed reforms in Colombia – including the elimination of parafiscales – will not reduce substantially the multiple distortions in its labor market.     

Adolescents with an entity theory of personality are more vigilant to social status and use relational aggression to maintain social status

The present research proposed that one social‐cognitive root of adolescents' willingness to use relational aggression to maintain social status in high school is an entity theory of personality, which is the belief that people's social status‐relevant traits are fixed and cannot change. Aggregated data from three studies (N = 882) showed that first‐year high school adolescents in the United States who endorsed more of an entity theory were more likely to show cognitive and motivational vigilance to social status, in terms of judgments on a novel social categorization task and reports of goals related to demonstrating social status to peers. Those with an entity theory then showed a greater willingness to use relational aggression, as measured by retrospective self‐reports, responses to a hypothetical scenario, and a choice task. Discussion centers on theoretical and translational implications of the model and of the novel measures.     

Flexibility,endogenous risk,and the protection premium

We introduce two types of protection premia. The unconstrained protection premium, ^u, is the individual's willingness to pay for certain protection efficiency given flexibility to adjust optimally the investment in protection. The constrained protection premium, ^c, measures willingness to pay for certain protection efficiency given no flexibility to adjust the investment in protection. ^u depends on tastes and wealth as well as protection technology whereas ^c depends only on technology. We show that ^c cannot exceed ^u and develop necessary conditions for ^c=^u. Optimal protection for an individual with decision flexibility may be larger or smaller than that desired under no flexibility.Journal Paper No. J-15504 of the Iowa Agriculture and Home Economics Experiment Station, Ames, Iowa. Project No. 3048.     

Entitlement and the efficiency-equality trade-off: an experimental study

When randomly assigning participants to experimental roles and the according payment prospects, participants seem to receive “manna from heaven.” In our view, this seriously questions the validity of laboratory findings. We depart from this by auctioning off player roles via the incentive compatible random price mechanism thus avoiding the selection effect of competitive second price auctions. Our experiment employs the generosity game where the proposer chooses the size of the pie, facing an exogenously given own agreement payoff, and the responder is the residual claimant. We find that entitlement crowds out equality seeking and strengthens efficiency seeking. More generally, we find that inducing entitlement for the roles in which participants find themselves makes a difference. Interpreting participants’ willingness to pay for their role as their aspiration level further allows to test satisficing and explore “mutual satisficing.” We find that responder participants apparently do not anticipate proposer generosity in aspiration formation.