Optimal dividend policy and growth option

We analyse the interaction between the dividend policy and the decision on investment in a growth opportunity of a liquidity constrained firm. This leads us to study a mixed singular control/optimal stopping problem for a diffusion that we solve quasi-explicitly by establishing a connection with an optimal stopping problem. We characterize situations where it is optimal to postpone the distribution of dividends in order to invest at a subsequent date in the growth opportunity. We show that uncertainty and liquidity shocks have an ambiguous effect on the investment decision.      

Mandatory Pensions and the Intensity of Adverse Selection in Life Insurance Markets

This article examines the impact of varying mandatory pensions on saving, life insurance, and annuity markets in an adverse selection economy. Under reasonable restrictions, we find unambiguous effects on market size, participation rates, and equilibrium prices. The degree of adverse selection, whether a market is active or inactive, and social welfare are analyzed.     

Risk Aversion and the Value of Risk to Life

The standard literature on the value of life relies on Yaari’s (1965) model, which includes an implicit assumption of risk neutrality with respect to life duration. To overpass this limitation, we extend the theory to a simple variety of preferences that are not necessarily additively separable. The enlargement we propose is relevant for the evaluation of life‐saving programs: current practice, we estimate, puts too little weight on mortality risk reduction of the young. Our correction exceeds in magnitude that introduced by the switch from the notion of number of lives saved to the notion of years of life saved.     

Economic evaluation of nivolumab for the treatment of second-line advanced squamous NSCLC in Canada: a comparison of modeling approaches to estimate and extrapolate survival outcomes

Background Lung cancer is the most common type of cancer in the world and is associated with significant mortality. Nivolumab demonstrated statistically significant improvements in progression-free survival (PFS) and overall survival (OS) for patients with advanced squamous non-small cell lung cancer (NSCLC) who were previously treated. The cost-effectiveness of nivolumab has not been assessed in Canada. A contentious component of projecting long-term cost and outcomes in cancer relates to the modeling approach adopted, with the two most common approaches being partitioned survival (PS) and Markov models. The objectives of this analysis were to estimate the cost-utility of nivolumab and to compare the results using these alternative modeling approaches.

Methods Both PS and Markov models were developed using docetaxel and erlotinib as comparators. A three-health state model was used consisting of progression-free, progressed disease, and death. Disease progression and time to progression were estimated by identifying best-fitting survival curves from the clinical trial data for PFS and OS. Expected costs and health outcomes were calculated by combining health-state occupancy with medical resource use and quality-of-life assigned to each of the three health states. The health outcomes included in the model were survival and quality-adjusted-life-years (QALYs).

Results Nivolumab was found to have the highest expected per-patient cost, but also improved per-patient life years (LYs) and QALYs. Nivolumab cost an additional $151,560 and $140,601 per QALY gained compared to docetaxel and erlotinib, respectively, using a PS model approach. The cost-utility estimates using a Markov model were very similar ($152,229 and $141,838, respectively, per QALY gained).

Conclusions Nivolumab was found to involve a trade-off between improved patient survival and QALYs, and increased cost. It was found that the use of a PS or Markov model produced very similar estimates of expected cost, outcomes, and incremental cost-utility.     

Complementarity and Substituability in Multiple-Risk Insurance Markets

We study imperfect competition between insurers in a multiple-risk environment. In the absence of asymmetric information, equilibria are efficient, and we determine the degrees of specialization under which the specialized insurers are able or unable to capture the surplus. We show in contrast that under adverse selection, specialization systematically prevents second-best efficiency. Concluding on the role of our notions of strategic complementarity/substituability on the tradeoff between efficiency and fairness of the allocation, we give indications on the desirable structure of the insurance industry.     

Corporate portfolio management

Summary We solve the optimal portfolio problem in continuous time from the point of view of a corporation, acting on behalf of risk neutral shareholders. Our model fits for example the case of a commercial bank. Risk aversion is generated endogenously by financial frictions, and increases when the value of the firm’s assets decrease. We find a remarkably simple investment policy: invest a multiple of the firm’s equity into the risky asset, keep the rest as cash reserves, and distribute dividends when the value of the firm exceeds some threshold. As a consequence, the firm locally behaves as a Von Neumann-Morgenstern investor with constant relative risk aversion.We thank three anonymous referees for their comments.     

Liquidity management with decreasing returns to scale and secured credit line

This paper examines the dividend and investment policies of a cash constrained firm, assuming a decreasing-returns-to-scale technology and adjustment costs. We extend the literature by allowing the firm to draw on a secured credit line both to hedge against cash-flow shortfalls and to invest/disinvest in a productive asset. We formulate this problem as a two-dimensional singular control problem and use both a viscosity solution approach and a verification technique to get qualitative properties of the value function. We further solve quasi-explicitly the control problem in two special cases.     

Storage and security of supply in the medium run

This paper analyzes the role of private storage in a market for a commodity (e.g. natural gas) whose supply is subject to the threat of an irreversible disruption. We focus on the medium term in which seasonality of demand and exhaustibility can be neglected. We characterize the price and inventory dynamics (accumulation, drainage and limit stocks) in a competitive equilibrium with rational expectations. We show the robustness of our results to alternative scenarios in which either a disruption has finite duration or the crisis is foreseen. During the crisis consumers may put pressure on the Government to intervene, but too severe antispeculative measures would inefficiently discourage storage. Practical solutions to this dilemma cause welfare losses that we characterize and quantify.     

The Consequences for a Monopolistic Insurance Firm of Evaluating Risk Better than Customers: The Adverse Selection Hypothesis Reversed

This article models a situation in which a monopolistic insurer evaluates risk better than its customers. The resulting equilibrium allocations are compared to the consequences of the standard adverse selection hypothesis. On the positive side, they exhibit the property that low-risk people are better covered than higher-risk people. On the normative side, the article shows that there are two reasons for avoiding excessive risk classification: one is the classical destruction of insurance possibilities, and the other comes from the distrustful atmosphere generated by new asymmetric information.