Dynamic Agency and Investment Theory under Model Uncertainty

We extend dynamic agency and investment theory by incorporating model uncertainty. As concerns regarding model uncertainty induce a trade‐off between incentives and ambiguity sharing, the principal tends to delay the cash payout to the agent. We find model uncertainty lowers the firm value, the average q and marginal q, where q is defined as the ratio between a physical asset's market value and its replacement value. Furthermore, model uncertainty leads to insufficient investment, which provides an alternative explanation for under‐investment. Finally, the optimal pay‐performance sensitivity of the agent's continuation value to the firm's output is state dependent and exceeds the lower bound when it is close to the payout boundary.     

RISK‐AVERSION,OPTIMAL LEVERAGE AND THE INVESTMENT–UNCERTAINTY RELATION

We develop a partial equilibrium dynamic model in which firms are risk‐averse. We analyse the determinants of the investment–uncertainty relationship by means of numerical techniques. When firms can borrow ‘outside’ resources at the riskless rate, an increase in price volatility depresses investment for realistic parameter values. In our model, portfolio considerations play an important role. When the marginal revenue of capital becomes more uncertain, the risk‐averse firm's owners reduce their ‘short position’ in the risk‐free asset, thus diminishing the firm's debt level. The contraction in leverage reduces the expected returns on investment because the expected marginal revenue product is higher than the user cost of capital. In turn, the reduction in expected yields tends to depress investment.     

A NOTE ON THE QUANTILE FORMULATION

Many investment models in discrete or continuous‐time settings boil down to maximizing an objective of the quantile function of the decision variable. This quantile optimization problem is known as the quantile formulation of the original investment problem. Under certain monotonicity assumptions, several schemes to solve such quantile optimization problems have been proposed in the literature. In this paper, we propose a change‐of‐variable and relaxation method to solve the quantile optimization problems without using the calculus of variations or making any monotonicity assumptions. The method is demonstrated through a portfolio choice problem under rank‐dependent utility theory (RDUT). We show that this problem is equivalent to a classical Merton's portfolio choice problem under expected utility theory with the same utility function but a different pricing kernel explicitly determined by the given pricing kernel and probability weighting function. With this result, the feasibility, well‐posedness, attainability, and uniqueness issues for the portfolio choice problem under RDUT are solved. It is also shown that solving functional optimization problems may reduce to solving probabilistic optimization problems. The method is applicable to general models with law‐invariant preference measures including portfolio choice models under cumulative prospect theory (CPT) or RDUT, Yaari's dual model, Lopes' SP/A model, and optimal stopping models under CPT or RDUT.     

SHAREHOLDER RISK MEASURES

The aim of this paper is to put forward a new family of risk measures that could guide investment decisions of private companies. But at the difference of the classical approach of Artzner, Delbaen, Eber, and Heath and the subsequent extensions of this model, our risk measures are built to reflect the risk perception of shareholders rather than regulators. Instead of an axiomatic approach, we derive risk measures from the optimal policies of a shareholder value‐maximizing company. We study these optimal policies and the related risk measures that we call shareholder risk measures. We emphasize the fact that due to the specific corporate environment, in particular the limited shareholders' liability and the possibility to pay out dividends from cash reserves, these risk measures are not convex. Also, they depend on the specific economic situation of the firm, in particular its current cash level, and thus they are not translation invariant. This paper bridges the gap between two important branches of mathematical finance: risk measures and optimal dividends.     

Financialization and the non‐financial corporation: An investigation of firm‐level investment behavior in the United States

Changes in the portfolio and financing behavior of non‐financial corporations (NFCs) over the post‐1970 period in the U.S. economy point to the financialization of the NFC and raise the question of accompanying changes in fixed investment behavior. Using a firm‐level panel, this article econometrically investigates the relationship between financialization and investment, exploring the implications of changes in financing behavior, increasingly entrenched shareholder value norms and rising firm‐level demand volatility for NFC investment in the U.S. economy between 1971 and 2013. Shareholder value orientation is, in particular, identified as a characteristic of the post‐1970 U.S. economy associated with a statistically and economically significant decline in NFC investment rates. The stock of financial assets, conversely, is found to be a positive correlate of firm investment. The analysis also highlights key differences by firm size. In particular, shareholder value norms are found to primarily influence the investment behavior of large NFCs, while rising volatility most substantially impacts small firms.     

Is Firm‐specific Return Variation a Measure of Information Efficiency?

The issue of whether firm‐specific return variation measures the private information reflected in stock returns or trading noise is controversial. Using a firm's geographic proximity to its investors as a proxy for a firm's private information, we investigate the relation between firm‐specific return variation and price informativeness. We find that firms located in metropolitan areas experience higher firm‐specific return variation and that holdings and trading by local institutional investors positively affect firm‐specific return variation. These findings suggest that higher firm‐specific return variation is indicative of more informative stock prices.     

MEAN–VARIANCE PORTFOLIO OPTIMIZATION WITH STATE‐DEPENDENT RISK AVERSION

The objective of this paper is to study the mean–variance portfolio optimization in continuous time. Since this problem is time inconsistent we attack it by placing the problem within a game theoretic framework and look for subgame perfect Nash equilibrium strategies. This particular problem has already been studied in Basak and Chabakauri where the authors assumed a constant risk aversion parameter. This assumption leads to an equilibrium control where the dollar amount invested in the risky asset is independent of current wealth, and we argue that this result is unrealistic from an economic point of view. In order to have a more realistic model we instead study the case when the risk aversion depends dynamically on current wealth. This is a substantially more complicated problem than the one with constant risk aversion but, using the general theory of time‐inconsistent control developed in Björk and Murgoci, we provide a fairly detailed analysis on the general case. In particular, when the risk aversion is inversely proportional to wealth, we provide an analytical solution where the equilibrium dollar amount invested in the risky asset is proportional to current wealth. The equilibrium for this model thus appears more reasonable than the one for the model with constant risk aversion.     

Bilateral ‘WTO‐Plus’ Free Trade Agreements: The WTO Trade Policy Review of Singapore 2004

The World Trade Organisation's 2004 Trade Policy Review of Singapore (WTO‐TPR Singapore 2004) depicts the small and outward‐oriented economy as one of the most open countries to international trade and investment. The review highlights the benefits of the outward‐oriented strategy that has enabled the Singapore economy to weather recent external shocks such as the Asian financial crisis to the SARS and to the recent unfavourable conditions in the Middle East. In particular, the report commended Singapore's efforts on its liberalisation of the services sector and its economic benefits to consumers and global trade. However, the WTO‐TPR Singapore 2004 highlights several key areas of concerns: (a) the commitment to multilateral agreements with the rising number of bilateral free trade agreements signed by Singapore and (b) the lack of growth of total factor productivity, a key indicator for long‐run efficiency of the economy. The paper addresses the above key concerns raised in the WTO's TPR of Singapore in terms of its commitment to global trade in terms of WTO‐plus bilateral FTAs, which intends to support a multilateral trading system, and its overall industrial strategies to raise its competitiveness.     

BUY‐LOW AND SELL‐HIGH INVESTMENT STRATEGIES

Buy‐low and sell‐high investment strategies are a recurrent theme in the considerations of many investors. In this paper, we consider an investor who aims at maximizing the expected discounted cash‐flow that can be generated by sequentially buying and selling one share of a given asset at fixed transaction costs. We model the underlying asset price by means of a general one‐dimensional Itô diffusion X , we solve the resulting stochastic control problem in a closed analytic form, and we completely characterize the optimal strategy. In particular, we show that, if 0 is a natural boundary point of X , e.g., if X is a geometric Brownian motion, then it is never optimal to sequentially buy and sell. On the other hand, we prove that, if 0 is an entrance point of X , e.g., if X is a mean‐reverting constant elasticity of variance (CEV) process, then it may be optimal to sequentially buy and sell, depending on the problem data.     

Rent‐to‐Own Pricing: Theory and Empirical Evidence

The rent‐to‐own (RTO) industry given its emphasis on subprime or, at least, financially constrained consumers is often seen as exploitative with excessive financing costs. This paper develops a rational‐expectations competitive equilibrium model to explore the pricing mechanism of an RTO agreement. The model accounts for the contract's embedded options and several bundled services. Using detailed transactional data, we infer how customers exercise these options to calibrate our model for several product categories, contractual lengths and payment periodicity. The resulting predictions provide a justification for the high financing costs observed in the marketplace.     

INTEREST RATE,DEBT, DISTRIBUTION AND CAPITAL ACCUMULATION IN A POST‐KALECKIAN MODEL

In the present paper we extend Lavoie's (Metroeconomica, 1995, vol. 46, pp. 146–177) ‘Minsky–Steindl’ model, building our analysis on a Kaleckian distribution and growth model which has already taken into account distribution effects of interest rate variations on the short‐run equilibrium. Into this model the effects of debt and debt services are explicitly introduced and the effects of interest rate variations on the short‐ and the long‐run equilibrium are derived. It is shown that the effects of interest rate variations on the endogenously determined equilibrium values of the model not only depend on the parameter values in the saving and investment functions but also on the interest elasticity of distribution and on initial conditions with respect to the interest rate and the debt–capital ratio.     

Adapting the Knowledge‐capital Model of the Multinational Enterprise to Trade and Investment in Business Services

At some conceptual level, trade in goods and services are not that much different. However, the speed at which trade and foreign investment in services is growing, along with the fact that the barriers to these activities are quite different from those for trade in goods, prompts us to take a more careful look. The paper begins with a general discussion about the various policies and technological constraints that impact foreign trade and the establishment of foreign commercial presence in intermediate business services. We then discuss which characteristics an accurate modelling approach must capture. Following that, we develop a model that allows for different regimes of trade and/or foreign affiliate production in services using Markusen's knowledge‐capital model. Simulations show that the pattern of service firm headquarters and office locations can differ considerably depending on whether it is trade, investment, or both that are either liberalised or become technologically feasible. Our results find that the welfare and factor‐price consequences are quite similar across the different scenarios.     

Decreasing Marginal Impatience and Capital Accumulation in a Two‐Country World Economy

This research is the first to examine dynamic general equilibrium in a growing two‐country economy under decreasing marginal impatience (DMI). The stability condition is shown to be more restrictive than in the case of an endowment economy and/or under increasing marginal impatience (IMI). By analyzing global‐economy adjustment to time preference shocks, international transfers and productivity shocks, equilibrium dynamics in the presence of DMI differ drastically from what is obtained when the standard IMI model is used. For example, in a country characterized by DMI, a positive productivity shock improves the country's welfare level and lowers its steady‐state time preference and, hence, the steady‐state interest rate. This leads to an increase in the neighbouring country's capital stock.     

MARKETS FOR INFLATION‐INDEXED BONDS AS MECHANISMS FOR EFFICIENT MONETARY POLICY

We consider a continuous‐time framework featuring a central bank, private agents, and a financial market. The central bank's objective is to maximize a functional, which measures the classical trade‐off between output and inflation over time plus income from the sales of inflation‐indexed bonds minus payments for the liabilities that the inflation‐indexed bonds produce at maturity. Private agents are assumed to have adaptive expectations. The financial market is modeled in continuous‐time Black–Scholes–Merton style and financial agents are averse against inflation risk, attaching an inflation risk premium to nominal bonds. Following this route, we explain demand for inflation‐indexed securities on the financial market from a no‐arbitrage assumption and derive pricing formulas for inflation‐linked bonds and calls, which lead to a supply‐demand equilibrium. Furthermore, we study the consequences that the sales of inflation‐indexed securities have on the observed inflation rate and price level. Similar to the study of Walsh, we find that the inflationary bias is significantly reduced, and hence that markets for inflation‐indexed bonds provide a mechanism to reduce inflationary bias and increase central bank's credibility.     

Optimal cash holdings under heterogeneous beliefs

This paper explores a one‐period model for a firm that finances its operations through debt provided by heterogeneous creditors. Creditors differ in their beliefs about the firm's investment outcomes. We show the existence of Stackelberg equilibria in which the firm holds cash reserves in order to provide incentives for pessimistic creditors to invest in the firm. We find interest rates and cash holdings to be complementary tools for increasing debt capacity. In markets with a high concentration of capital across a small interval of pessimistic creditors or by a few large creditors, cash holdings is the preferred tool to increase the debt capacity of the firm.     

A Dynamic Growth Model with Equity for Guarantee Swap and Asymmetric Information*

We develop an endogenous dynamic growth model in which a financially constrained firm optimizes the entrance timing and financing structure in different information exposure scenes. An innovation financing tool called equity‐for‐guarantee swap is introduced to solve the dilemma of financing constraints. The productivity of the firm is a random variable following a two‐point distribution and its value can be observed in advance by the entrepreneur but not by the insurer. Our main goal is to fix the fair guarantee cost with asymmetry information and examine how the cost differs from the one under the same situation except with symmetric information. We solve a Nash equilibrium of the game between the entrepreneur and the insurer and specify the condition to determine whether a separating equilibrium or pooling one will be achieved. We find that at the separating equilibrium, the high‐profit firm will sacrifice a profit to send a signal for the purpose of separating itself from the low‐profit one by increasing the latter's mimicking cost. The pooling equilibrium occurs when the insurer can not distinguish the firm's type and therefore, the insurer demands the same guarantee cost for all firms.     

THE INCENTIVES OF HEDGE FUND FEES AND HIGH‐WATER MARKS

Hedge fund managers receive a large fraction of their funds' profits, paid when funds exceed their high‐water marks. We study the incentives of such performance fees. A manager with long‐horizon, constant investment opportunities and relative risk aversion, chooses a constant Merton portfolio. However, the effective risk aversion shrinks toward one in proportion to performance fees. Risk shifting implications are ambiguous and depend on the manager's own risk aversion. Managers with equal investment opportunities but different performance fees and risk aversions may coexist in a competitive equilibrium. The resulting leverage increases with performance fees—a prediction that we confirm empirically.     

Quantitative Evaluation of the Determinants of Export and FDI: Firm‐level Evidence from Japan

Using firm‐level data for Japan, this paper examines the determinants of the export and foreign direct investment (FDI) decision. We contribute to the literature by employing a mixed logit model, i.e. a multinomial logit model with random intercepts and random coefficients, to incorporate any unobserved firm heterogeneity and by paying special attention to the quantitative significance of the determinants. We find that while the impact of productivity on the export and FDI decision is positive and statistically significant, it is economically negligible. The effect of firm size, credit constraints and information spillovers from experienced firms is also small in magnitude. A quantitatively dominant determinant of the export and FDI decision is instead the prior status of firms in terms of internationalisation. In addition, the use of the mixed logit model enables us to find a substantial role of unobserved firm characteristics in internationalisation of the firm. These findings suggest that entry costs to foreign markets, which substantially vary in size across firms, play an important role in the export and FDI decision. In addition, given that the negligible effect of productivity and the dominant effect of prior status appear to be more prominent in Japan than in some other countries, this study helps highlight the uniqueness of Japanese firms.     

Distribution‐constrained optimal stopping

We solve the problem of optimal stopping of a Brownian motion subject to the constraint that the stopping time's distribution is a given measure consisting of finitely many atoms. In particular, we show that this problem can be converted to a finite sequence of state‐constrained optimal control problems with additional states corresponding to the conditional probability of stopping at each possible terminal time. The proof of this correspondence relies on a new variation of the dynamic programming principle for state‐constrained problems, which avoids measurable selections. We emphasize that distribution constraints lead to novel and interesting mathematical problems on their own, but also demonstrate an application in mathematical finance to model‐free superhedging with an outlook on volatility.     

Impact of directed‐to‐consumers marketing strategies on firm market value

The objective of this paper is to analyse the impact of different directed‐to‐consumers marketing strategies on firm market value. To that end, we follow a microeconometric approach that consists of formulating a model whose dependent variable is an indicator of market value, that is to say, Tobin's Q, whilst the independent variables take the form of a number of different marketing strategies. This model is estimated by using an unbiased survey carried out in the year 2000 to executives working in 405 North‐American firms. The empirical results indicate that the most effective marketing strategies are, in this order, the ability to rapidly develop new products and services, the importance of both providing customized products and goods of high quality and finally, customer loyalty.