A simultaneous discrete choice model of labor supply and wages for married women in Switzerland

A simultaneous model of female labor supply and wages is estimated. The labor supply model is formulated as a trichotomous discrete choice model in order to take into account the bimodal distribution of observed working hours. For women without observed wages the probability of choosing the observed work category is integrated over all values of the wage. The model is estimated using a sample of married women in Switzerland. The budget constraint is constructed by computing the disposable income for each hours point, taking into account the Swiss income tax system. The estimation results imply relatively modest wage elasticities of expected labor supply for working women. On the other hand the elasticity of the participation probability with respect to wages for nonworkers is twice as large. The magnitude of the income elasticities is comparable to other studies. The wage elasticities obtained with two alternative estimation procedures are considerably lower. These results show that wage elasticities crucially depend on how the problem of unobserved wages is solved.