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Optimal Consumption with a Stochastic Income Stream

Econometrica 1974 42(2), 253
An infinite horizon consumption model is considered where the labor part of income is random. An upper bound on optimal consumption is obtained by considering the expected value of the optimal return function in the deterministic labor income case. This upper bound on consumption is easily shown to be lower than the value of optimal consumption in the case where the random labor income is replaced by its mean.

Do Investors Understand Really Dirty Surplus?

The Accounting Review 2011 86(1), 237-258
This study addresses whether firms’ share prices correctly reflect two accounting measures: dirty surplus and really dirty surplus. Dirty surplus is readily observable from the financial statements, but really dirty surplus, which arises from recognizing equity transactions such as employee stock option exercises at other than fair market value, is not. Findings show that dirty surplus and really dirty surplus are irrelevant for forecasting abnormal comprehensive income. However, findings also indicate that investors appear to undervalue really dirty surplus. Hedge returns are insignificant when portfolios are formed based on dirty surplus, but are significantly positive based on really dirty surplus. Really dirty surplus positive hedge returns are robust to a variety of sensitivity tests. Taken together, the findings are consistent with either investors over-valuing firms that have large negative really dirty surplus or really dirty surplus being correlated with an unmodeled risk factor.

The Valuation Implications of Employee Stock Option Accounting for Profitable Computer Software Firms

The Accounting Review 2002 77(4), 971-996
We use the Ohlson (1995, 1999) and Feltham and Ohlson (1999) valuation models to investigate the market's perception of the economic effect of employee stock options (ESOs) on firm value for a sample of 85 profitable computer software companies. Our results suggest that the market appears to value these firms' ESO expense not as an expense but as an intangible asset (even after controlling for the endogeneity bias arising from the mechanical relation between ESOs and the underlying stock prices). However, we also find a conflict between: (1) the positive manner in which investors appear to value ESO expense, and (2) the negative relation between current ESO expense and future abnormal earnings. This conflict not only could be an artifact of the restrictiveness of the abnormal earnings forecasting equation we estimate, but it also calls into question whether investors assess correctly the effect of ESOs on profitable software firm value.