Optimal consumption and sale strategies for a risk averse agent

In this article we consider a special case of an optimal consumption/optimal portfolio problem first studied by Constantinides and Magill and by Davis and Norman, in which an agent with constant relative risk aversion seeks to maximise expected discounted utility of consumption over the infinite horizon, in a model comprising a risk-free asset and a risky asset with proportional transaction costs. The special case that we consider is that the cost of purchases of the risky asset is infinite, or equivalently the risky asset can only be sold and not bought. In this special setting new solution techniques are available, and we can make considerable progress towards an analytical solution. This means we are able to consider the comparative statics of the problem. There are some surprising conclusions, such as consumption rates are not monotone increasing in the return of the asset, nor are the certainty equivalent values of the risky positions monotone in the risk aversion

Optimistic versus Pessimistic--Optimal Judgemental Bias with Reference Point

This paper develops a model of reference-dependent assessment of subjective beliefs in which loss-averse people optimally choose the expectation as the reference point to balance the current felicity from the optimistic anticipation and the future disappointment from the realisation. The choice of over-optimism or over-pessimism depends on the real chance of success and optimistic decision makers prefer receiving early information. In the portfolio choice problem, pessimistic investors tend to trade conservatively, however, they might trade aggressively if they are sophisticated enough to recognise the biases since low expectation can reduce their fear of loss

Moral hazard and dynamics of insider ownership stakes

In this paper, I analyze the ownership dynamics of N strategic risk-averse corporate insiders facing a moral hazard problem. A solution for the equilibrium share price and the dynamics of the aggregate insider stake is obtained in two cases: when agents can credibly commit to an optimal ownership policy and when they cannot commit (time-consistent case). In the latter case, the aggregate stake gradually adjusts towards the competitive allocation. The speed of adjustment increases with N when outside investors are risk-averse, and does not depend on it when investors are risk-neutral. Predictions of the model are consistent with recent empirical findings.Corporate insiders, moral hazard, ownership dynamics

Why Hedge? - A Critical Review of Theory and Empirical Evidence -

Finance theory does not provide a comprehensive framework for explaining risk management within the imperfect financial environment in which firms operate. Corporate managers, however, rank risk management as one of their most important objectives. Therefore, it is not surprising that papers on the question why firms hedge are mushrooming. This paper critically reviews this literature and analyses the implications for risk management practice. It is distinguished between two competing approaches to corporate hedging: equity value maximising strategies and strategies determined by managerial risk aversion. The first category suggests that managers act in the best interest of shareholders. They hedge to reduce real costs like taxes, costs of financial distress and costs of external finance or to replace home-made hedging by shareholders. The second category considers that managers maximise their personal utility rather than the market value of equity. Their hedging strategy, therefore, is determined by their compensation plan and reputational concerns. There is ambiguous empirical evidence on the dominant hedging motive. It depends on the environment in which firms operate (e.g. tax schedule) and on firm characteristics (e.g. capital intensity). In general, one can observe that (i) hedging taxable income is of minor importance, (ii) firms with a high probability of financial distress hedge more, (iii) companies with greater growth opportunities hedge more, (iv) managers with common stockholdings hedge more than managers with option holdings and (v) high ability managers hedge more than low ability managers. The total benefits of hedging are not the sum across the various motives. Therefore, a manager has to concentrate on a primary motive to implement an effective risk management programme: If his primary motive is to minimise corporate taxes, he will hedge taxable income. If his primary concern is to reduce the costs of financial distress and if he can faithfully communicate the firm?s true probability of default, his hedging strategy will focus on the market value of debt and equity. If hedging is prompted to reduce the demand for costly external finance, he will hedge cash flows. If the manager is concerned with his reputation, he will focus on accounting earnings. Once he has focused on a certain exposure, the manager has to decide whether he wants to minimise the volatility of this exposure or simply avoid large losses. -- Der Artikel gibt einen Literaturüberblick zur Fragestellung, warum Unternehmen Risikomanagement betreiben und analysiert die Umsetzung in der Unternehmenspraxis. Ausgehend von den Irrelevanzthesen von Modigliani/Miller wird gezeigt, daß die starke Betonung des Risikomanagements in Unternehmen auf zweierlei Arten erklärbar ist: Zum einen erhöht Hedging den Shareholder Value, da es Steuern, Bankrottkosten, die Kosten von externem Kapital und den Absicherungsbedarf von schlecht diversifizierten Aktionären verringern kann. Zum anderen kann Hedging den Nutzen von Managern erhöhen, soweit es einen Einfluß auf deren Vermögen oder Ruf hat. Was die Umsetzung der Hedging-Ziele in die Unternehmenspraxis anbetrifft, haben die Modelle unterschiedliche Konsequenzen bezüglich der Art und des Ausmaßes des abzusichernden Risikos.Risk Management,Hedging,Agency Theory,Shareholder Value

Cost Innovation: Schumpeter and Equilibrium. Part 1. Robinson Crusoe

Modifying a parallel dynamic programming approach to a simple deterministic economy, we consider the effect of an innovation in the means of production. The success of the innovation is assumed to depend on the availability of financing, locus of financial control, the amount of resources invested, and on a random event. The relationship between money and physical assets is critical. In this first part stress is laid on the innovation behavior of Robinson Crusoe in a premonetary economy, then on his actions in a monetary economy in partial equilibrium. Part 2 considers the closed monetary economy with several differentiated agents.Cost innovation, Schumpeter, Circular flow, Strategic market games

Auction Design with Loss Averse Bidders: The Optimality of All Pay Mechanisms

Auctioneers who have an indivisible object for sale and believe that bidders are risk neutral can find the recipe for an optimal auction in Myerson (1981); auctioneers who believe that bidders are loss averse can find it here: An optimal auction is an all pay auction with minimum bid, and any optimal mechanism is all pay

The changing nature of debt and equity; a financial perspective

Debt ; Securities ; Corporations - Finance