The effects of irreversibility on the timing and intensity of lumpy investment

This paper examines how changes in irreversibility of investment affect the timing and intensity of lumpy investment. We develop a continuous-time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring a partially reversible investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the instant when the investment option is exercised. We show that higher irreversibility of investment induces the firm to raise its optimal investment trigger, thereby deferring the undertaking of the project. Furthermore, we show that changes in irreversibility of investment have no impact on the firm's optimal investment intensity due to two opposing effects that exactly offset each other. Finally, we show that higher irreversibility of investment reduces the value of the investment option and, therefore, makes the firm less valuable.     

THE EFFECTS OF ABANDONMENT OPTIONS ON INVESTMENT TIMING AND INTENSITY

This paper examines how the presence of an abandonment option affects the timing and intensity of a firm’s investment. We develop a continuous‐time model wherein a firm is endowed with a perpetual option to invest in a project at any time by incurring an investment cost at that instant. The amount of the investment cost is directly related to the intensity of investment that is endogenously chosen by the firm at the investment instant. The project generates a stream of stochastic revenue flows with a concomitant stream of constant cost flows, both of which increase with the investment intensity. We show that allowing the firm to make an irreversible decision to abandon the project does not affect the firm’s optimal investment intensity if the investment cost is totally reversible. Otherwise, the option to abandon the project induces the firm to choose a lower level of investment intensity. Furthermore, we show that the presence of the abandonment option pushes down the firm’s optimal investment trigger, thereby hastening the undertaking of the project.     

The effects of abandonment options on operating leverage and forward hedging

This paper examines the behavior of the competitive firm under output price uncertainty when the firm is endowed with an abandonment option and has access to a forward market for its output. When the realized output price is less than its marginal cost, the firm optimally exercises its abandonment option and ceases production. The firm lets its abandonment option extinguish, thereby producing up to its capacity, only when the realized output price exceeds its marginal cost. The ex post exercising of the abandonment option as such convexifies the firm's ex ante profit with respect to the random output price. We show that neither the separation theorem nor the full-hedging theorem holds in the presence of the abandonment option. The firm under-hedges its output price risk exposure in the forward market wherein the forward price contains a nonpositive risk premium. When the set of hedging instruments is expanded to include options, we show that both the separation and full-hedging theorems are restored. We further show that the firm prefers options to forwards for hedging purposes when both types of contracts are fairly priced.     

Real options as a component of the market value of stocks: evidence from the Spanish Stock Market

This paper aims to examine how investors’ expectations about the value of a firm's real options are reflected in the price of its stocks. If the real-option approach is correct, then the efficient-market hypothesis predicts that stock prices will reflect the available information relative to the real options held by firms and their ability to identify, acquire, maintain and exercise them. The role of investment irreversibility, operating and financial flexibility, business and geographical diversification, and size are examined as indicators of a firm's real option strategy. The empirical analysis of a panel of 101 companies listed on the Spanish Stock Exchange during the period 1991–1997 provides evidence consistent with predictions. The market value of the real option portfolio is significantly and positively related to business diversification, asset irreversibility and operating leverage, and negatively related to size. In addition, financial leverage and geographical diversification are not significantly related to our proxies for the market value of real options. These results are robust even after controlling for industry, and alternative measures of investment flexibility and business diversification.     

Some reflections on technical progress in financing small firms ∗

Starting from a comparison of Josef Steindl's observations on the problems of the financing of small firms, with the implications of the Modigiani – Miller approach to financial structure, this paper investigates relationships between financial leverage and operating leverage by the application of option pricing theory to the value of a firm's debt. Drawing on possible differences between the second-hand break-up value and the present value of the flow of earnings from a firm's assets, it suggests linkages between production structure and firm financial structure. It then extends these results to resolving the problems of providing market financing for the creation and evolution of small firms in industrialized and transforming economies.     

Progressive taxation,tax exemption,and corporate liquidation policy

This paper develops a real options model of a firm that operates in continuous time with an infinite horizon. The firm receives stochastic profit flows that are subject to progressive taxation. Tax progression arises from an exogenously given tax exemption threshold that makes the average tax rate increase with the tax base. The firm possesses an option to liquidate its operation, which is optimally exercised when the firm's profit flow reaches an endogenously determined threshold level (the liquidation trigger) from above. We show that the firm's liquidation trigger under progressive taxation increases with either a reduction in the tax exemption threshold or an increase in the corporate income tax rate. Corporate income taxes are thus not neutral when tax schedules are progressive.     

Real option analysis for effects of emission permit banking on investment under abatement cost uncertainty

The present paper analyzes the investment effects of emission trading scheme (ETS) when emission permits are bankable and there is technological uncertainty with regard to the abatement cost. A real option model is employed to accommodate irreversibility of investment and cost uncertainty. In the absence of abatement cost uncertainty, a bankable ETS reduces a firm's incentive for environmental investment, because the firm can utilize the banked permits for future compliance which act as substitutes for abatement investment. However, when cost uncertainty is prevalent, investment may reduce the opportunity cost of irreversible investment under the banking system, thereby increasing a firm's investment incentive. The condition is derived under which a bankable ETS provides higher investment incentives than a non-bankable ETS does.     

Irreversibility,mean reversion,and investment timing

This paper examines the effect of irreversibility on investment under mean reversion. We develop a continuous-time model wherein a risk-neutral firm is endowed with a perpetual option to invest in a project at any time by incurring a fixed investment cost at that instant. The project, once undertaken, generates a stream of cash flows that are governed by a mean-reverting stochastic process. The firm is then allowed to liquidate its project at any time to partially recover the fixed investment cost. The recovery rate of the fixed investment cost inversely gauges the degree of irreversibility of investment. Using a real options approach, we derive an analytical solution to the value of the firm that is analogous with an American compound option. We show that greater irreversibility of investment induces the firm to raise its investment trigger, thereby deferring the undertaking of the project. We further show that greater irreversibility of investment has a detrimental effect that makes the firm less valuable.     

Not Leverage but Change in Leverage Matters for Firms’ Future Growth: Evidence from Turkey's Top 1000

In the financial literature it is generally assumed that a firm's financial leverage is a good measure (proxy) of the firm's access to financing. In this study, it is argued that it is not the firm's debt (leverage), but the change in leverage that more accurately mirrors the firm's true likelihood to have access to external sources of financing. Applying a firm-type analysis and panel data techniques to data on the top 1000 private industrial companies of Turkey for the period 1997–2012, it is shown that it is the change in leverage ratio, not the level of leverage ratio itself that matters for the future firm growth, controlling for profitability, leverage and firm size.     

Progressive taxation and the intensity and timing of investment

This paper examines the effect of progressive taxation on a firm's investment intensity and timing decisions using a real options approach. The firm possesses a perpetual option to invest in a project at any instant by incurring an irreversible investment cost at that time. The amount of the irreversible investment cost determines the intensity of investment that augments the value of the project. Tax progression is specified in a particular case of a constant marginal tax rate with an exogenously given tax exemption threshold that makes the average tax rate increase with the tax base. We show that the firm's investment decisions are neutral to tax progression only when the exogenously given tax exemption threshold is sufficiently large. When tax neutrality does not hold, we show that progressive taxation has a perverse effect on investment intensity. Finally, we show that progressive taxation induces the firm to invest earlier as compared to the case under proportional taxation (i.e., in the absence of any tax exemption).     

Mutually exclusive investment with technical uncertainty

A firm, which faces technical uncertainty as in Pindyck (1993) can choose between two mutually exclusive investment projects, Projects 1 and 2. The added option to exercise Project 2 makes the firm less likely to exercise Project 1. An increase in the degree of technical uncertainty, the investment rate or the investment value upon completion for Project 2 encourages the firm to exercise Project 2 by increasing the trigger level of the expected cost of Project 2. This, however, ambiguously affects the firm's incentive to exercise Project 1, as the firm would rather implement Project 1 (2) in a region where the expected cost of Project 2 is relatively high (low).     

Optimal Investment and Financial Strategies under Tax‐Rate Uncertainty

Abstract. In this paper, we apply a real‐option model to study the effects of tax‐rate uncertainty on a firm's decision. In doing so, we depart from the relevant literature, which focuses on fully equity‐financed investment projects. By letting a representative firm borrow optimally, we show that debt finance not only encourages investment activities but can also substantially mitigate the effect of tax‐rate uncertainty on investment timing.     

RANDOM SHOCK UNCERTAINTY AND INVESTMENT REVERSIBILITY: REAL OPTION FRAMEWORK

This paper examines, in the presence of random shock, how changes in reversibility of investment affect a firm's optimal investment strategies including the investment timing (trigger) and quantity. Existing results do not consider random shock, where the quantity is independent of the degree of reversibility and the investment trigger is always decreasing with the degree of reversibility. In contrast, we show that with random shock, the quantity exhibits an inverse U‐shape, and the investment trigger is not always monotonically decreasing with the degree of reversibility. Additionally, we show that the firm undertakes a smaller quantity with random shock than without random shock for any degree of reversibility. Finally, we find that the presence of random shock decreases firm value, which implies that random shock is costly for firms.     

Corporate financial policy with pension accounts: an extension of the Modigliani–Miller theorem

We build a model of an incomplete market economy with a firm, which we apply to the study of corporate financial policies with pension accounts. We show that prior to ERISA, even though the sponsoring firm's integral financial policy is neutral for its market value, it may affect the economy by creating a pension call option. On the other hand, in the post‐ERISA periods, the firm's financial policy is not only neutral for its value but also has no real effect on the economy. Thus, the Modigliani–Miller theorem is valid in this sense.     

Optimal size, optimal timing and optimal financing of an investment

Corporate investment is an important determinant of economic well-being. The existing literature identifies optimal investment size and timing without the possibility of debt financing, as well as the effect of debt financing on investment timing without the option to choose investment size. This paper contributes to the literature by identifying the optimal size, optimal timing and optimal financing for an investment when the firm controls all three decisions (as it usually does in practice). The investment size and investment trigger are generally positively related: when investment is delayed (accelerated) it is larger (smaller) in size, thus the overall effect on investment is ambiguous. However, when tax rate or bankruptcy cost is increased, the trigger rises and size falls, hence the effect on investment is unambiguously negative. The effect of debt financing on investment depends on the amount of debt used; with the optimal amount of debt, investment is delayed relative to the no-debt case, and this delay can be economically significant; however, the investment, when eventually made, will be larger in size. Overall, it is not appropriate to ignore either the firm’s ability to choose investment size or its option to use debt financing, when modeling the investment decision.     

Export Flexibility And Currency Hedging*

This article studies the behavior of an export‐flexible firm under exchange rate uncertainty. We show that the separation theorem holds if selling exclusively in the domestic market is suboptimal even under the most unfavorable spot exchange rate. Otherwise, the firm's optimal output depends on its preferences and on the underlying uncertainty. We further show that the full‐hedging theorem holds only when the firm always finds it optimal to sell its entire output in the foreign market. Otherwise, export flexibility introduces a convexity into the firm's foreign exchange risk exposure, which calls for the use of currency options for hedging purposes.     

On the optimality of funding and hiring/firing according to stochastic demand: The role of growth and shutdown options

We examine the firm's investment and hiring/firing policy under stochastic demand with potential reversibility. We evaluate in particular the values of both investment and hiring/firing growth and shutdown options not only for the standard Cobb–Douglas production function but also when taking account of the natural upper bound on the output due to the demand level. For this latter purpose, we use results about average of options provided in Shackleton and Wojakowski (2007). As a by-product, we extend the approach of Tserlukevich (2008) by introducing the employment level to analyze in particular the optimality of the financial structure and leverage. Our approach allows us to get a quasi-explicit solution of the optimal firm's value that can be deeply analyzed. Such results can potentially explain the interest for flexible contractual arrangements with capital and labor firm's structure.     

Network externality and incentive to invest in network security

Breaches of network security can result in substantial losses for businesses. A game theory-based model is developed to investigate in the short run how network externality influences the optimal strategy of competing online firms producing homogenous services to invest in NS. A firm's self-protect rate and survival probability against NS security incidents differ depending on its related investment decisions. The incentive of a firm to invest in NS is derived, and the impact of the survival probability and the effect of the number of firms investing in NS on a firm's incentive to invest in NS are also analyzed. Policy implications drawn from the study are provided at the end the work.     

Liquidity default,liquidity management and smooth dividends policy

Our article models liquidity financing constraints with the real options framework. By conducting a comprehensive investigation of the effects of shocks to liquidity constraints on the firm’s optimal investment, financing and dividend policies, our model highlights the importance of liquidity management and extends the liquidity management approach to hedge liquidity default risk. We find that being concerned about liquidity default risk will significantly change a firm’s behaviours, including those related to investment and the optimal capital structure. A firm that is concerned about its liquidity default risk will become more cautious: it will choose to delay investment and have higher leverage when internal liquidity is very low, but choose earlier investment and lower leverage when liquidity is high enough. The dividends policy can alleviate risks from both the external market and internal project volatility and provides an alternative explanation for the ‘smooth dividends policy puzzle’ commonly reported in empirical research.     

Market Size and the Survival of Foreign‐owned Firms*

We develop a general equilibrium model with heterogeneous firms and foreign direct investment cost uncertainty and investigate the survival of foreign‐owned firms. The survival probabilities of foreign‐owned firms depend on firm‐level characteristics, such as productivity, and host country characteristics, such as market size. We show that a foreign‐owned firm will be less likely to be shut down when its parent firm's productivity is higher and its indigenous competitors are less productive. Although a larger market size will always reduce the survival probability of indigenous firms, it can lead to a higher survival probability for foreign‐owned firms if their parent firms are sufficiently productive.