The present, subjective value of a delayed reward is a decreasing func
tion of the duration of the delay. This phenomenon is termed temporal
discounting. To determine whether the amount of the reward influences
the rate of temporal discounting, we had subjects choose between immed
iate and delayed hypothetical rewards of different amounts ($100, $2,0
00, $25,000, and $100,000 delayed rewards). As predicted by psychologi
cal models of the choice process, hyperbolic functions described the d
ecrease in the subjective value of the delayed reward as the time unti
l its receipt was increased (R(2)s from .86 to .99). Moreover, hyperbo
lic functions consistently provided more accurate descriptions of the
data than did exponential functions predicted by an economic model of
discounted utility. Rate of discounting decreased in a negatively acce
lerated fashion as the amount of the delayed reward increased, levelin
g off by approximately $25,000. These findings are interpreted in the
context of different psychological models of choice, and implications
for procedures to enhance self-control are discussed.