Short-term eurocurrency rate behavior and specifications of cointegrating processes

This article presents empirical evidence on short-term behavior based on seven Eurocurrency market rates. Empirical analysis suggests that there is two-dimensional cointegration. First, the domestic short-term interest rate is cointegrated with longer-term interest rates within a particular country. Second, the domestic short-term interest rate is cointegrated with the comparable foreign short-term interest rate adjusted for the foreign exchange forward premium (discount). The empirical evidence confirms that an error-correction model combining both dimensional market-correcting processes better explains short-term interest rate movements.     

Empirical and public choice evidence for hyperbolic social discount rates and the implications for intergenerational discounting

The derivation of the correct discount rate for intergenerational projects in Cost Benefit Analysis is particularly contentious. Public choice has resulted in lower discretionary exponential discount rates for many intergenerational projects in Britain and the USA. This is shown to be strong indirect evidence that the true social discount rate may be a hyperbolic (rather than an exponential) function. There is also empirical evidence for this hypothesis. The hyperbolic nature of discounting is also a standard finding in the behavioural sciences. For intergenerational time frames hyperbolic discount rates should be employed together with exponential discount rates in cost-benefit sensitivity analyses.Sincere thanks to Maureen Cropper and Paul Portney for supplying their survey results and to Elaine Barrow and Phillip Judge for graphics assistance. Two anonymous referees also provided valuable comments.     

State prices,liquidity, and default

We show, in a monetary exchange economy, that asset prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank, through its effect on default and interest rates. Two agents trade goods and nominal assets to smooth consumption across periods and future states, in the presence of cash-in-advance financing costs that have effects on real allocations. We show that higher spot interest rates reduce trade and as a result increase state prices. Hence, states of nature with higher interest rates are also states of nature with higher risk-neutral probabilities. This result, which cannot be found in a Lucas-type representative agent model, implies that the yield curve is upward sloping in equilibrium, even when short-term interest rates are fairly stable and the variance of the (macroeconomic) stochastic discount factor is 0. The risk-premium in the term structure is, therefore, a monetary-cost risk premium.     

Discounting the Distant Future: An Experimental Investigation

We use a laboratory experiment to elicit discount rates over a 20-year time horizon using government savings bonds as a payment vehicle. When using a constant (exponential) discount rate function, we find an implied average discount rate of 4.9 %, which is much lower than has been found in previous experimental studies that used time horizons of days or months. However, we also find strong support for non-constant, declining discount rates for longer time horizons, with an extrapolated implied annual discount rate approaching 0.5 % in 100 years. There is heterogeneity in discount rates and risk preferences in that people with more optimistic beliefs about technological progress have higher discount rates. These findings contribute to the debate over the appropriate discount rate to use in comparing the long-term benefits of climate change mitigation to the more immediate costs.     

WAS LONDON THE CONDUCTOR OF THE INTERNATIONAL ORCHESTRA OR JUST THE TRIANGLE PLAYER? AN EMPIRICAL ANALYSIS OF ASYMMETRIES IN INTEREST RATE BEHA VIOUR DURING THE CLASSICAL GOLD STANDARD, 1876–1913

This paper analyses the interrelationships of official and private discount rates between seven European financial centres and in particular between London, Berlin, and Paris. Looking at the days and directions of all official discount rate changes in the seven centres, pairwise leads and lags are analysed. As to private discount rates, which seem to be stationary, correlations and coherencies are measured, multivariate Granger-causality tests are performed and impulse response functions are calculated. The paper shows that there are strong mutual feedbacks between interest rates in London, Paris, and Berlin, suggesting that the classical gold standard was a decentralized, multipolar system.     

Public investment and social risk-sharing

How the government uses market rates of return to discount risky public projects is intrinsic to the efficient allocation of capital and the choice of public investment policy. This paper shows that social discount rates for risk can be higher than, lower than, or equal to private rates. Previous analyses which argue for ‘one-sided’ rules where social discount rates are always lower or equal to private rates are shown to be inappropriate in general. The paper shows in a general model that the difference between the social value of a public project and its market value is determined by the social insurance value that the project has from improving risk-sharing relative to the market. Depending on the project and degree of market imperfection, this term can be positive, negative, or zero, explaining the different possibilities for the social evaluation of risk.     

Convergence within the EU: Evidence from Interest Rates

The economic and political changes which are taking place in Europe affect interest rates. This paper develops a two-factor model for the term structure of interest rates specially designed to apply to EMU countries. In addition to the participant country's short-term interest rate, we include as a second factor a 'European' short-term interest rate. We assume that the 'European' rate follows a mean reverting process. The domestic interest rate also follows a mean reverting process, but its convergence is to a stochastic mean which is identified with the 'European' rate. Closed-form solutions for prices of zero coupon discount bonds and options on these bonds are provided. A special feature of the model is that both the domestic and the European interest rate risks are priced. We also discuss an empirical estimation focusing on the Spanish bond market. The 'European' rate is proxied by the ecu's interest rate. Through a comparison of the performance of our convergence model with a Vasicek model for the Spanish bond market, we show that our model provides a better fit both in-sample and out-of sample and that the difference in performance between the models is greater the longer the maturity of the bonds.
(J.E.L.: E43, C510).     

A NEW APPROACH TO ASSET INTEGRATION: METHODOLOGY AND MYSTERY

Abstract. This paper develops a new methodology to test financial market integration. Our technique is based on an intertemporal asset‐pricing model, and relies on estimating and comparing expected discount rates across asset markets. Expected discount rates are allowed to vary freely over time, constrained only by the fact that they are equal across assets. Assets are allowed to have very general risk characteristics, and are constrained only by a linear factor model of covariances with the discount rate over short time periods. We provide a variety of domestic and international empirical illustrations of our technique, and find surprisingly little evidence of integration.     

Fishermen's Discount Rates in ITQ Systems

In this paper the fishermen's planning and investment horizon is investigated using their discount rates. It is shown that one might calculate the implicit discount rate in an ITQ regulated fishery from the available information from the quota market. This gives information about how well the system is working. In particular, discount rates where ITQ systems are in operation initially were very high, before they started to decrease. This implies that it take some time to reap the full benefits of an ITQ system. It also gives arguments for not letting ITQs be perpetual property rights, and hence, enables more flexibility in the management system.     

Discount rates and shadow prices for public investment

This paper extends the Harberger–Sandmo–Drèze model for public discount rates to a many-good economy. It derives a formula for discount rates which are specific to each public enterprise or agency and used by them to discount future outputs and inputs evaluated at market prices. Such an approach is shown to be more efficient than that of simply using a single rate for all public projects. It is also more practical than asking each public firm to use second-best shadow prices in their analyses of investment projects.The general results are first provided; then, simple cases are considered and numerical examples presented to help interpret our formula and analyse its main determinants.     

The government's time discount rate: Choices and consequences in a dynamic framework

This paper considers a closed macroeconomy where the monetary authority pursues an inflation target and policy outcomes are the consequence of a Nash game between fiscal and monetary authorities. The specification of the macroeconomic framework is characterized by nonlinearities which lead to multiple equilibria with differing stability properties. Employing a calibrated model and simulations derived using the Mathematica package, the stability properties of the economy and the likely choice of equilibrium are examined. Within this framework, the dynamic consequences of different time discount rates for the fiscal authority are investigated, both in a world of certainty and also in a world of uncertainty. It is shown that, in a world of certainty, it will be optimal to choose the fiscal authority's time discount rate equal to the market rate of interest. However, depending on the degree of uncertainty in evaluating the time discount rates of consumers and of the fiscal authority, it may be appropriate to bias the fiscal authority's discount rate above or below the expected interest rate.     

Discounting in a world of limited growth

This paper explores the consequences fordiscounting of assuming limits to growth. One of the main determinants of the discount rate is the rate of economic growth. If growth rates decline in the future then the discount rate should not be constant but also decline over time. In fact, we would then need not a single discount rate but rather a variable discount schedule. This would imply higher present values for the distant future. The paper analyses how discount rates would vary with different assumptions about the patterns of growth and the pure rate of time preference.An earlier version of this paper was presented at the conference ECOLOGICAL ECONOMICS, Stockholm, August 1992. I am grateful for valuable comments from Partha Dasgupta, Gunnar Köhlin, Karl-Göran Mäler, Mike Young and two anonymous referees.     

Individual discount rates forecast county-level unemployment change

We use a national survey to estimate individuals’ discount rates for job creation in the community and test whether impatience for jobs is associated county-level unemployment change outcomes in subsequent years. Our results suggest that impatience for jobs is a possible forecast variable for future modelling efforts. To explore whether the impatience effect is general or simply limited to attitudes about local job creation, the same survey asked about discount rates for local amenity development and personal financial windfall. We find that job growth discount rates perform best for forecasting.     

Reconciling sustainability, systems theory and discounting

Most definitions of sustainability imply that a system is to be maintained at a certain level, held within certain limits, into the indefinite future. Sustainability denies run-away growth, but it also avoids any decline or destruction. This sustainability path is hard to reconcile with the renewal cycle that can be observed in many natural systems developing according to their intrinsic mechanisms and in social systems responding to internal and external pressures. Systems are parts of hierarchies where systems of higher levels are made up of subsystems from lower levels. Renewal in components is an important factor of adaptation and evolution. If a system is sustained for too long, it borrows from the sustainability of a supersystem and rests upon lack of sustainability in subsystems. Therefore by sustaining certain systems beyond their renewal cycle, we decrease the sustainability of larger, higher-level systems. For example, Schumpeter's theory of creative destruction posits that in a capitalist economy, the collapse and renewal of firms and industries is necessary to sustain the vitality of the larger economic system. However, if the capitalist economic system relies on endless growth, then sustaining it for too long will inevitably borrow from the sustainability of the global ecosystem. This could prove catastrophic for humans and other species. To reconcile sustainability with hierarchy theory, we must decide which hierarchical level in a system we want to sustain indefinitely, and accept that lower level subsystems must have shorter life spans. In economic analysis, inter-temporal discount rates essentially tell us how long we should care about sustaining any given system. Economists distinguish between discount rates for individuals based on personal time preference, lower discount rates for firms based on the opportunity cost of capital, and even lower discount rates for society. For issues affecting even higher-level systems, such as global climate change, many economists question the suitability of discounting future values at all. We argue that to reconcile sustainability with inter-temporal discounting, discount rates should be determined by the hierarchical level of the system being analyzed.     

Consumer valuation of energy-saving features of residential air conditioners with hedonic and choice models

The promotion of energy-efficient appliances is necessary to reduce the energetic and environmental burden of the household sector. However, many studies have reported that a typical consumer underestimates the benefits of energy-saving investment on the purchase of household electric appliances. To analyze this energy-efficiency-gap problem, many scholars have estimated implicit discount rates that consumers use for energy-consuming durables. Although both hedonic and choice models have been used in previous studies, a comparison between the two models has not yet been made. This study uses point-of-sale data about Japanese residential air conditioners and estimates implicit discount rates with both hedonic and choice models. Both models demonstrate that a typical consumer underinvests in energy efficiency. Although choice models generally estimate a lower implicit discount rate than hedonic models, the latter models estimate the values of other product characteristics more consistently than choice models.     

Ramsey discounting calls for subtracting climate damages from economic growth rates

The Ramsey equation ties the utility discount rate and the elasticity of marginal utility of consumption together with per capita consumption growth rates to calculate consumption discount rates. For many applications, per capita consumption growth rates can be approximated with per capita output growth rates. That approximation does not work for climate change, which drives an ever-increasing and increasingly uncertain wedge between output and consumption growth. NAS (2017), in a central recommendation and illustrative example, conflates the two. The correct, consumption-based discounting method generally decreases consumption discount rates and, thus, increases the resulting Social Cost of Carbon Dioxide (SC-CO₂).     

Discounting and divergence of opinion

Agents impatience rate and their anticipations about the future of the economy, are two essential determinants of the equilibrium discount rate, as illustrated by the Ramsey formula. Heterogeneity in time preference rates and in anticipations is widely acknowledged. Our objective is to determine the equilibrium discount rate when this heterogeneity is taken into account. Among others we tackle the following questions: As an additional risk or uncertainty, can dispersion in agents' characteristics lead to lower discount rates? What is the asymptotic behavior of the discount rate in such a setting? More generally, what is the shape of the yield curve?     

Eliciting Individual Discount Rates

Controlled laboratory conditions using monetary incentives have been utilized in previous studies that examine individual discount rates, and researchers have found several apparently robust anomalies. We conjecture that subject behavior in these experiments may be affected by (uncontrolled) factors other than discount rates. We address some experimental design issues and report a new series of experiments designed to elicit individual discount rates. Our primary treatments include: (i) informing subjects of the annual and effective interest rates associated with alternative payment streams, and (ii) informing subjects of current market interest rates. We also test for the effect of real (vs. hypothetical) payments and for the effect of delaying both payment options (vs. offering an immediate payment option). The statistical analysis uses censored data techniques to account for the interactions between field and lab incentives. Each of the information treatments appears to reduce revealed discount rates. When both types of information are provided, annual rates in the interval of 15%–17.5% are revealed, whereas rates of 20%–25% are revealed in the control session. Each of the treatments also lowers the residual variance of subject responses.     

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.     

TURNPIKE PROPERTIES OF A MONEY‐IN‐THE‐UTILITY‐FUNCTION MODEL*

This study establishes the global stability of a long‐run stationary state in a money‐in‐the‐utility‐function model. The major finding is that the constant money supply rule results in a stable allocation and price system if consumers discount their future utilities sufficiently weakly. Nominal and real interest rates will be in the neighbourhood of the inverse of the consumers’ discount factor β^‐1.