On the Relation between Discounting of Climate Change and Edgeworth-Pareto Substitutability

To justify substantial carbon emission reductions, recent literature on cost-benefit analysis of climate change suggests discounting environmental quality at a lower discount rate than the standard consumption discount rate. Recent literature also shows that a theoretical foundation for such a lower environmental discount rate requires rising willingness-to-pay for environmental quality (WTP). A widely believed better alternative is however to adjust instead future environmental benefits for rising WTP and to discount those benefits at the consumption discount rate. According to this latter approach, rising WTP is usually assumed not to change the consumption discount rate itself. Assuming environmental resource scarcity, the present paper shows that an unchanged consumption discount rate is however, by and large, only an appropriate assumption in the knife-edge case in which environmental quality and goods consumption are neither substitutes nor complements in the Edgeworth-Pareto sense (substitutes, respectively, complements in the Edgeworth-Pareto sense implies the marginal utility of goods consumption to be decreasing, respectively, increasing in environmental quality)

Discount Coupons: Beyond the Price Discount Effect

Paper included in Proceedings from the Promotion in the Marketing Mix: What Works, Where and Why, NEC-63 Conference, Toronto, Canada, 1994. Ellen Goddard and Daphne Taylor, editors, pp.42-52.Consumer/Household Economics, Demand and Price Analysis,

Properties of the Social Discount Rate in a Benthamite Framework with Heterogeneous Degrees of Impatience

This paper derives the properties of the discount rate that should be applied to a public-sector project when the affected population has heterogeneous degrees of impatience. We show that, for any distribution of discount rates, the social discount rate has the following properties: it decreases over time, it is lower than the average of the discount rates in the population, and it converges to the discount rate of the most patient individual in the economy. These properties hold for both constant and decreasing individual discount rates. Finally, we evaluate how changes in the distribution of individual discount rates affect the social discount rate.social discount rate; hyperbolic discounting; cost-benefit analysis

Foreign currency returns and systematic risks

The decomposition of the market return into its cash-flow and discount-rate news driven components reveals that excess returns on low forward discount currency portfolios load positively on "good" news about the stock market's discount rates while high forward discount currencies load negatively on this news. Average currency portfolio returns are hence explained by different sensitivities to discount-rate news. A two-beta version of the CAPM, distinguishing between cash-flow and discount-rate betas, is able to price both currency and stock portfolio returns at the same time. Finally, we find that the relation between stock market news and foreign currency returns varies across the two either discount-rate news or both discount-rate and cash-flow news driven stock market booms of the past two decades.Currency returns, cash-flow news, discount-rate news, market return, UIP

General time consistent discounting

Modeling inter-temporal choice is a key problem in both computer science and economic theory. The discounted utility model of Samuelson is currently the most popular model for measuring the global utility of a time-series of local utilities. The model is limited by not allowing the discount function to change with the age of the agent. This is despite the fact that many agents, in particular humans, are best modelled with age-dependent discount functions. It is well known that discounting can lead to time-inconsistent behaviour where agents change their preferences over time. In this paper we generalise the discounted utility model to allow age-dependent discount functions. We then extend previous work in time-inconsistency to our new setting, including a complete characterisation of time-(in)consistent discount functions, the existence of sub-game perfect equilibrium policies where the discount function is time-inconsistent and a continuity result showing that “nearly” time-consistent discount rates lead to “nearly” time-consistent behaviour

Discount rate policies of five Federal Reserve Chairmen

This paper investigates the discount rate policies of five Federal Reserve chairmen: Martin, Burns, Miller, Volcker and Greenspan. Both in terms of the reasons given for making discount rate changes and the frequency of discount rate changes, the discount rate policies of Martin and Greenspan were very similar, as were those of Burns and Volcker. The discount rate policy of Chairman Miller differed from either of these groups. Measured by the money market's response to discount rate changes, the discount rate policy of Burns and Volcker was the most effective and Miller's the least effective. Evidence is presented that suggests that the differential response is due to the fact that the discount rate policy of Burns and Volcker provided the market with more complete information than that of Martin and Greenspan. The evidence also supports critics of the Federal Reserve's discount rate policy prior to the early 1960s.Discount ; Board of Governors of the Federal Reserve System (U.S.)

Stochastic discount factors

The valuation process that economic agents undergo for investments with uncertain payoff typically depends on their statistical views on possible future outcomes, their attitudes toward risk, and, of course, the payoff structure itself. Yields vary across different investment opportunities and their interrelations are difficult to explain. For the same agent, a different discounting factor has to be used for every separate valuation occasion. If, however, one is ready to accept discounting that varies randomly with the possible outcomes, and therefore accepts the concept of a stochastic discount factor, then an economically consistent theory can be developed. Asset valuation becomes a matter of randomly discounting payoffs under different states of nature and weighing them according to the agent's probability structure. The advantages of this approach are obvious, since a single discounting mechanism suffices to describe how any asset is priced by the agent.Comment: 12 pages. To appear in the "Encyclopedia of Quantitative Finance

Discounting and Divergence of Opinion

The objective of this paper is to adopt a general equilibrium model and determine the socially efficient discount factor, risk free rate and discount rate when there are heterogeneous anticipations about the growth of the economy as well as heterogeneous time preference rates. Among others we tackle the following questions. Is the socially efficient discount factor an arithmetic average of the individual subjectively anticipated discount factors? More generally, can the Arrow-Debreu prices, the risk free rates, the subjectively expected socially efficient discount factors and discount rates be obtained as an average of the individual subjectively anticipated ones? Can beliefs dispersion be analyzed as a sort of additional risk or uncertainty leading to possibly lower discount rates? Is it socially efficient, when diversity of opinion is taken into account, to reduce the discount rate per year for more distant horizons? If so, what is the trajectory of the decline?discount rate, risk free rate