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SME funding without banks?
(2017)
This paper studies a consumption-portfolio problem where money enters the agent's utility function. We solve the corresponding Hamilton-Jacobi-Bellman equation and provide closed-form solutions for the optimal consumption and portfolio strategy both in an infinite- and finite-horizon setting. For the infinite-horizon problem, the optimal stock demand is one particular root of a polynomial. In the finite-horizon case, the optimal stock demand is given by the inverse of the solution to an ordinary differential equation that can be solved explicitly. We also prove verification results showing that the solution to the Bellman equation is indeed the value function of the problem. From an economic point of view, we find that in the finite-horizon case the optimal stock demand is typically decreasing in age, which is in line with rules of thumb given by financial advisers and also with recent empirical evidence.
We study the general equilibrium implications of different fiscal policies on macroeconomic quantities, asset prices, and welfare by utilizing two endogenous growth models. The expanding variety model features only homogeneous innovations by entrants. The Schumpeterian growth model features heterogeneous innovations: "incremental" innovations by incumbents and "radical" innovations by entrants. The government levies taxes on labor income and corporate profits and supplies subsidies to consumption, capital investment, and investments in research and development by entrants and, if applicable, incumbents. With these models at hand, we provide new insights on the interplay of innovation dynamics and fiscal policy.
This paper studies a consumption-portfolio problem where money enters the agent's utility function. We solve the corresponding Hamilton-Jacobi-Bellman equation and provide closed-form solutions for the optimal consumption and portfolio strategy both in an infinite- and finite-horizon setting. For the infinite-horizon problem, the optimal stock demand is one particular root of a polynomial. In the finite-horizon case, the optimal stock demand is given by the inverse of the solution to an ordinary differential equation that can be solved explicitly. We also prove verification results showing that the solution to the Bellman equation is indeed the value function of the problem. From an economic point of view, we find that in the finite-horizon case the optimal stock demand is typically decreasing in age, which is in line with rules of thumb given by financial advisers and also with recent empirical evidence.
The publication of the Liikanen Group's final report in October 2012 was surrounded by high expectations regarding the implementation of the reform plans through the proposed measures that reacted to the financial and sovereign debt crises. The recommendations mainly focused on introducing a mild version of banking separation and the creation of the preconditions for bail-in measures. In this article, we present an overview of the regulatory reforms, to which the financial sector has been subject over the past years in accordance with the concepts laid out in the Liikanen Report. It becomes clear from our assessment that more specific steps have yet to be taken before the agenda is accomplished. In particular, bail-in rules must be implemented more consistently. Beyond the question of the required minimum, the authors develop the notion of a maximum amount of liabilities subject to bail-in. The combination of both components leads to a three-layer structure of bank capital: a bail-in tranche, a deposit-insured bailout tranche, and an intermediate run-endangered mezzanine tranche. The size and treatment of the latter must be put to a political debate that weighs the costs and benefits of a further increase in financial stability beyond that achieved through loss-bearing of the bail-in tranche.