Joint estimation of discount rates and willingness to pay for public goods

We analyze willingness to pay (WTP) for environmental programs whose time periods of benefit and repayment differ, using a net present value framework that identifies parameters of both WTP and personal discount rates. Respondents to a contingent valuation survey focusing on protection of critical habitat buffer zones for the endangered Steller Sea Lion in Alaska were asked their willingness to pay for 1-, 5-, and 15-year repayment periods. We jointly estimate the personal discount rates and WTP via maximum likelihood, and compare with a model assuming a fixed, market discount rate.     

An exact relation between willingness to pay and willingness to accept

I present a simple and precise relationship between the willingness-to-pay and the willingness-to-accept, or equivalently between the compensating and equivalent variations following an exogenous welfare change. One can be computed given the other as a function of income.     

Semi-parametric discrete choice measures of willingness to pay

A semi-parametric discrete choice method is proposed to recover welfare measures from individual choice data. The proposed method is compared with the traditional binary choice models in an application to measure benefits of recreation trips.     

Actual averting expenditure versus stated willingness to pay

The purpose of this study is to perform a complete comparison of actual averting expenditure and stated willingness to pay measures, and to determine if the averting expenditure is a lower bound of the willingness to pay measured from contingent valuation experiment as suggested by literature. In addition to the single value comparison, Bootstrap, Krinsky and Robb, Jackknife, and Cameron are four simulation methods used to calculate confidence intervals for response function. Sample sizes of 100, 200, and 1000 are simulated 100 and 200 times respectively. A set of data with 540 households from a contingent policy referendum survey is employed for our purpose. Under a specific level of BOD improvement, a one-to-one single mean value comparison of the actual averting expenditure is greater than the mean willingness to pay from utility difference model. The empirical results are consistent with the theoretical expectation for expenditure difference that averting expenditure is a lower bound of willingness to pay generated from the contingent valuation method. A confidence interval, which contains the true mean willingness to pay at least 90% of the times, includes the actual averting expenditure as a lower bound of the mean willingness to pay as theory predicts.     

On the willingness to pay to reduce risks of small losses

While willingness to pay is a common concept to measure the benefit gained from a reduction in the probability of loss, it is still questionable how it is linked to risk aversion and risk elimination behaviors, and how it is affected by the presence of an exogenous source of risk. By focusing only on risks of small losses, this article sheds light on these three issues and provides new results on the determinants of the willingness to pay.      

Valuing climate protection through willingness to pay for biomass ethanol

This study uses a multi-part, split-sample contingent valuation method (CVM) and fair share (FS) survey to better understand the public's valuation of mitigating global climate change through its willingness to pay for biomass or “cellulosic” ethanol. In addition to a basic CVM question, a related scenario was developed that asked half of the survey respondents to state their fair share cost to lessen a potential food shortage in the next decade, also through the expanded use of cellulosic ethanol. Three alternative biomass feedstocks were assessed: farming residues, forestry residues and paper mill wastes, and municipal solid wastes. Overall a slightly larger proportion of respondents were WTP extra for cellulosic ethanol in the basic CVM scenario than in the FS scenario, though no significant differences were found in the WTP for the different feedstocks. Bid curve lognormal regression results for the two models were similar, supporting the idea that asking a FS rather than a conventional WTP question may be justifiable in some circumstances, such as in cases of a national emergency.     

The willingness to pay for mortality risk reductions in Mongolia

This paper reports results from a stated preference survey designed to estimate the willingness to pay for mortality risk reductions in Ulaanbaatar, Mongolia. The survey includes both contemporaneous and latent risk reductions of a magnitude typically achievable through clean air policy. The study is one of a series of national studies designed to provide comparable estimates around the world. One goal of this series is to build a more solid bridge for benefits transfer between developed and developing countries. The survey was conducted in winter 2010. Estimates of willingness to pay passed external and internal scope tests. Study results imply a value of statistical life of approximately $500,000 (based on a purchasing power parity exchange rate) for a contemporaneous 5-in-10,000 annual risk reduction.     

Schooling choices: Preferences, discount rates, and rates of return

This paper develops an empirical model to identify the structural parameters of schooling preferences and human capital production. Our model distinguishes between consumption and investment motives with regard to schooling. The results show that both motives matter. Preferences for schooling vary with social background and ability. Children from poorer social backgrounds and of lower ability have a lower preference for schooling. The discount rate that enters the net value of lifetime income varies with social background as well. The marginal rate of return to schooling decreases with ability and schooling. On average the marginal rate of return is 7.3 per cent, which can be contrasted with a `Mincerian' rate of return equal to 4.8 per cent. This indicates that the usual OLS estimate underestimates the true rate of return. First version received: November 1997/Final version received: February 1999     

Endogenous private safety investment and the willingness to pay for mortality risk reductions

When individuals cannot undertake safety-improving expenditures, the effect of an increase in the initial risk on the willingness to pay (WTP) for mortality risk reduction is positive because of the dead-anyway effect. When they can undertake safety-improving expenditures, the effect of an increase in the initial risk is governed by two effects: The dead-anyway effect which is positive and the high-payment effect which is negative. We treat the two types of risk-reducing expenditures, endogenous and exogenous, as inputs in a safety-improving technology function and find conditions that guarantee that the high-payment effect dominates.     

A comparison of empirical models used to infer the willingness to pay in contingent valuation

The essence of the contingent valuation method consists of creating a hypothetical market where respondents are asked about their willingness to pay (WTP) for a non-market good. Different empirical models can be formulated to estimate the expected WTP of a sample of respondents and, then, through aggregation, the social valuation of the good is inferred.This paper outlines the relevance of the distributional assumptions when estimating mean WTP. Several parametric and non-parametric methods are discussed and applied to calculate the existence value of a natural space. Results show that WTP is extremely sensitive to the empirical model used.First version received: November 2002 / Final version received: January 2004     

Debt policy, corporate taxes, and discount rates

This paper applies the standard risk-neutral valuation framework to tax shields generated by dynamic debt policies. We derive a partial differential equation (PDE) for the value of the debt tax shield. For a class of dynamic debt policies that depend on the asset's free cash flows, value, and past performance, we obtain closed-form solutions for the PDE. We also derive the tax-adjusted cost of capital for free cash flows and analyze the conditions under which the weighted average cost of capital is an appropriate discount rate. Finally, we derive closed-form solutions for equity betas, which differ from the formulas that have traditionally been used to lever and unlever equity betas.     

Altruistic, egoistic and biospheric values in willingness to pay (WTP) for wildlife

We attempt to measure general attitudes and ethical beliefs towards preservation, as well as the importance of each of the three considered value orientations (biospheric, egoistic and altruistic) in WTP estimates. In the present study, we apply the GAC scale to a contingent valuation exercise for the recovery of the common murre (Uria aalge) in Galicia (Spain). Up to now, only a few studies in the field of environmental and ecological economics have analyzed value orientations under the Environmental Concern (EC) framework, obtaining mixed results. In the present work, we conclude that ethical aspects affect the individuals decision making process, and that value orientations play an important role in the pro-environmental attitude formation. These value orientations affect willingness to pay (WTP) estimates for environmental goods.     

Empirical measures of factors affecting social rates of discount

Economists have long considered possible divergences between private and social rates of time preferences. In this paper, we investigate factors hypothesized to affect this potential divergence. Results indicate that time preferences of individuals may be influenced by: 1. whether the resource in question is publicly or privately managed (respondents tend to have lower rates of time prefernce for publicly managed resources); and 2. the type of good being managed (respondents tend to have lower rates of time preference for income derived from a forest than for income derived from a portfolio of stocks and bonds). Additional factors which may influence the revealed rate of time preference include the pattern of benefits derived over time and various personal characteristics of the respondent. Although numerous methodological problems cloud the issues, our results suggest that capital markets may fail to aggregate utility over individuals and between goods, and that it may therefore be appropriate for governments to consider using lower rates of discount than the private sector, and to vary the rate used according to the type of good being evaluated.     

Complementarity of willingness to pay and cost heterogeneity under vertical product differentiation: A welfare analysis

Due to the fact that a consumer’s willingness to pay differs between segments, many unregulated industries are price constrained, although the specific costs of market segments also differ. If the product quality is endogenously chosen, we find that third-degree price discrimination increases welfare if a sufficiently pronounced complementarity between the willingness to pay and variable cost heterogeneity is given. This is due to the fact that the monopolist’s incentive for employing a pronounced price dispersion strategy is directly influenced by the consumers’ willingness to pay for the quality of a product. With endogenous product quality, the paper shows that the standard welfare result of third-degree price discrimination compared to uniform monopoly pricing (e.g. that total welfare and consumer surplus both fall if total output does not rise) can be only reversed given the complementarity is sufficiently pronounced.     

Individual discount rates: a meta-analysis of experimental evidence

Experimental Economics - A key parameter estimated by lab and field experiments in economics is the individual discount rate—and the results vary widely. We examine the extent to which this...     

Comparing consumers’ preferences and willingness to pay for non-GM oil using a contingent valuation approach

A contingent valuation method is used in this paper to compare Chinese and Japanese consumers’ preferences and willingness to pay for non-GM vegetable oil. An often ignored issue—the scale factor in a discrete choice model—is explicitly considered, and parameter equality for different data sets is formally tested before reaching a conclusion. Results indicate that in these two countries consumers’ attitude factors and demographic traits have significantly different effects on their purchase intentions, and on average, Japanese consumers are willing to pay a much higher premium for non-GM vegetable oil than Chinese consumers.