P and time are integral dimensions of virtually any decision. To treat them together, we consider the prospect of receiving outcome x with a probability p at time t. We define risk and time distance, and show that if these two distances are traded off linearly, then preferences are characterized by three functions: a value function, a probability discount rate function, and a psychological dist...

In this investigation, we test whether temporal discounting is domain-specific (i.e., compared to other people, can an individual have a relatively high discount rate for one type of reward but a relatively low discount rate for another?), and we examine whether individual differences in the types of rewards one finds tempting explain domain-specificity in discount rates. Adults discounted dela...

This article considers a new concept of social optimum for an economy populated by agents with heterogeneous discount factors. It is based upon an approach that constrains decision rules to be temporally consistent: these are stationary and unequivocally ruled by the state variable. For agents who differ only in their discount factors and have equal weights in the planner’s objective, the tempo...

We assess the impact of institutions on Chinese firms’ corporate investment in an investment Euler equation framework. We allow the variables measuring institutions to affect the rate at which firm managers discount future investment payoffs. Applying generalized method of moments estimators to large samples of Chinese firms, we estimate the stochastic discount rates derived from actual investm...

A Flexible Test for Present Bias and Time Preferences Using Land-Lease Contracts When agents have present bias, they discount more between now and the next period than between period t (> 1) and t + 1. How fast the future discount rate (evaluated today) decays is an empirical question. We show that the discount function can be non-parametrically identified with contracts that specify payments t...

A recent survey by Brookshire, et. al., (2006) suggests that forensic economists are mixed in their use of current versus historical data to estimate future net discount rates.1 Typically the choice is between a long-term average or simply the current prevailing rate.2 Cushing and Rosenbaum (2006) proposed an estimator that optimally uses the information in the past behavior of net discount rat...