We derive the optimal compensation contract in a principal-agent setting in which outcome is used to provide incentives for both effort and risky investments. To motivate investment, optimal compensation entails rewards for high as well as low outcomes, and it is increasing at the mean outcome...

Many U.S. corporate bonds are either callable or convertible. While callable bonds provide a higher coupon to bondholders in exchange for a firm's repurchase option of its claim, convertible bonds offer investors the option to exchange a firm's debt to equity. This paper analyzes the choice...

We analyze a firm's investment problem when it faces preemption risk and profits are convex in market profitability. In a setup where firms have asymmetric profit convexity, which we relate to firm quality, we show that this has interesting effects on valuation and the order of entry. The...

We solve a rich life-cycle model of household decisions involving consumption of perishable goods and housing services, habit formation for housing consumption, stochastic labor income, stochastic house prices, home renting and owning, stock investments, and portfolio constraints. In line with...

The observed hump-shaped life-cycle pattern in individuals' consumption cannot be explained by the classical consumption-savings model. The consensus explanation is that the hump is caused by constraints and unspanned risks. However, we explicitly show that the consumption hump naturally emerges...

We establish a powerful method to solve the life-cycle consumption choice problem of an individual facing biometric risks that are uninsurable. Problems of this type are notoriously hard to solve and closed-form solutions are unknown. The solution is obtained by optimizing over a parametrized...

Using a unique data set with detailed information on Danish households and their mortgages, we show that young and old households are more likely to use IO mortgages compared to middle-aged households. Young households use IO mortgages to postpone repayment to a period with higher income, old...

We show that the optimal consumption of an individual over the life cycle can have the hump shape (inverted U-shape) observed empirically if the preferences of the individual exhibit internal habit formation. In the absence of habit formation, an impatient individual would prefer a decreasing...