We present evidence that the equity premium and the premium of value stocks over growth stocks are consistent in the 198296 period with a stochastic discount factor calculated as the weighted average of individual households' marginal rate of substitution with low and economically plausible values of the relative risk aversion coefficient. Since these premia are not explained with an SDF calculated as the per capita marginal rate of substitution with a low value of the RRA coefficient, the evidence supports the hypothesis of incomplete consumption insurance. We also present evidence that an SDF calculated as the per capita marginal rate of substitution is better able to explain the equity premium and does so with a lower value of the RRA coefficient, as the definition of asset holders is tightened to recognize the limited participation of households in the capital market.

This study theoretically and empirically examines altruistic and joy-of-giving motivations underlying contributions to charitable activities. The theoretical analysis shows that in an economy with an infinitely large number of donors, impurely altruistic preferences lead to either asymptotically zero or complete crowd-out. The paper then establishes conditions on preferences that are sufficient to yield zero crowd-out in the limit. These conditions are fairly weak and quite plausible. An empirical representation of the model is estimated using a new 198692 panel of donations and government funding from the United States to 125 international relief and development organizations. Besides directly linking sources of public and private support, the econometric analysis controls for unobserved institution-specific factors, institution-specific changes in leadership, year-to-year changes in need, and expenditures by related organizations. The estimates show little evidence of crowd-out from either direct public or related private sources. Thus, at the margin, donations to these organizations appear to be motivated solely by joy-of-giving preferences. In addition to addressing the basic question of motives behind charitable giving, the results help explain the existing disparity between econometric and experimental crowd-out estimates.