Leverage, volatility and executive stock options

This paper studies how an optimal wage contract can be implemented using stock options, and derives the properties of the optimal contract with stock options. Specifically, we show how the exercise price and the size of the option grant should change in response to changes in exogenous parameters. First, for a fixed exercise price of executive stock options, the size of the option grant decreases in the riskiness of a desired investment policy, decreases in the volatility of return from the risky project, and increases in leverage. Second, for a fixed size of the option grant, the optimal exercise price of managerial stock options increases in the riskiness of a desired investment policy, increases in the volatility of return from the risky project, and decreases in leverage. Several empirical predictions are drawn from these conclusions regarding the pay-performance sensitivity of management compensation.     

Dynamic Volatility Trading Strategies in the Currency Option Market

The conditional volatility of foreign exchange rates can be predicted using GARCH models or implied volatility extracted from currency options. This paper investigates whether these predictions are economically meaningful in trading strategies that are designed only to trade volatility risk. First, this article provides new evidence on the issue of information content of implied volatility and GARCH volatility in forecasting future variance. In an artificial world without transaction costs both delta-neutral and straddle trading stratgies lead to significant positive profits, regardless of which volatility prediction method is used. Specifically, the agent using the Implied Stochastic Volatility Regression method (ISVR) earns larger profits than the agent using the GARCH method. Second, it suggests that the currency options market is informationally efficient. After accounting for transaction costs, which are assumed to equal one percent of option prices, observed profits are not significantly differentfrom zero in most trading strategies. Finally, these strategies offered returns have higher Sharpe ratio and lower correlation with several major asset classes. Consequently, hedge funds and institutional investors who are seeking alternative “marketneutral” investment methods can use volatility trading to improvethe risk-return profile of their portfolio through diversification. This revised version was published online in November 2006 with corrections to the Cover Date.     

To Invest or not to Invest: A real options approach to FDIs and tax competition

Foreign investment decisions of firms are often characterized by investment irreversibility, uncertainty, and the ability to choose the optimal timing of foreign investments. We embed these characteristics into a real option theory framework to analyze international competition among countries to attract mobile investments when firms, after the investment is sunk, can shift profit to low tax countries by transfer pricing. We find that an increase in the uncertainty of profit income reduces the equilibrium tax rates, whilst lower investment costs or larger profits, counteracts the negative fiscal externality of tax competition leading to higher equilibrium tax rates. JEL Code H25     

Dynamic Models of Investment Distortions

This paper studies the interaction between corporate financing decisions and investment decisions in a dynamic framework. When the production decision involves an expansion option, the firm trades off tax benefits of debt against two costs of debt financing, namely the investment distortion related to exercise of the expansion option and the loss of a valuable expansion opportunity if the firm defaults. The optimal capital structure is all equity for firms with more value in growth options (or intangible assets) and tends to involve debt financing for firms with more value in tangible assets. JEL Classification: D81, G13, G31, G32     

Option Momentum

This paper investigates the performance of option investments across different stocks by computing monthly returns on at-the-money straddles on individual equities. We find that options with high historical returns continue to significantly outperform options with low historical returns over horizons ranging from 6 to 36 months. This phenomenon is robust to including out-of-the-money options or delta-hedging the returns. Unlike stock momentum, option return continuation is not followed by long-run reversal. Significant returns remain after factor risk adjustment and after controlling for implied volatility and other characteristics. Across stocks, trading costs are unrelated to the magnitude of momentum profits.     

Capital budgeting, information timing, and the value of abandonment options

This paper investigates how an abandonment option influences the optimal timing of information in a sequential adverse selection capital budgeting model. While the divisional manager has imperfect private pre-contract information, headquarters can time whether the manager obtains perfect project information before (timely information) or after (delayed information) the contract is signed. In the absence of the abandonment option, headquarters favors timely (delayed) information if the investment costs are high (low). The presence of the abandonment option favors delayed information because under the timely information regime the value of the abandonment option is zero, whereas under the delayed information regime the value of the option is positive.     

Intra–day Behavior of Treasury Sector Index Option Implied Volatilities around Macroeconomic Announcements

If option implied volatility is an unbiased, efficient forecast of future return volatility in the underlying asset, then we should be able to predict its path around macroeconomic announcements from responses in cash markets. Regressions show that volatilities rise the afternoon before announcements that move cash markets, and that post–announcement volatilities return to normal as rapidly as cash prices do. Although implied volatilities are predictable, the Treasury options market is efficient since informed traders do not earn arbitrage profits once we account for trading costs.     

Does Option Compensation Increase Managerial Risk Appetite?

This paper solves the dynamic investment problem of a risk averse manager compensated with a call option on the assets he controls. Under the manager's optimal policy, the option ends up either deep in or deep out of the money. As the asset value goes to zero, volatility goes to infinity. However, the option compensation does not strictly lead to greater risk seeking. Sometimes, the manager's optimal volatility is less with the option than it would be if he were trading his own account. Furthermore, giving the manager more options causes him to reduce volatility.     

Investment in internet banking as a real option: theory and tests

This paper examines the optimal exercise of strategic real options to invest in Internet banking (IB) technology within a two-stage game, parameterized by the distribution of bank size and uncertainty over the profitability of investment, and empirically tests the results. The value of the strategic investment option to a strategically significant entrant into IB depends on both expected future profits as well as the variance of those profits. Expected profits to an entrant depend, in equilibrium, on its size, as measured by existing market share (concentration) or total assets, relative to its rivals. Conditional on the degree of uncertainty, larger banks should, as a consequence, exercise their options earlier than smaller banks, for purely strategic advantages, and act as market leaders in the provision of IB services. Like ordinary options, however, the value of the strategic investment option to both large and small banks increases in uncertainty, implying that early exercise will be more likely the more information is available about potential demand. We test these hypotheses on investment in IB services with data from a sample of 1618 commercial banks in the tenth Federal Reserve District during 1999. Consistent with our hypotheses, relative bank size, as measured by measures of concentration, and demographic information predictive of future demand both positively influence the probability of entry into IB in our sample.     

Heterogeneous beliefs and optimal ownership in entrepreneurial financing decisions

Our setting comprises one entrepreneurial firm with a growth opportunity seeking for external funding from a venture capitalist, where the entrepreneur and venture capitalist have homogeneous or heterogeneous beliefs about its growth prospects. We developed a real options model to determine the optimal ownership structure that triggers the simultaneous exercise of the growth option on the entrepreneurial firm by entrepreneurs and venture capitalists. Our results show that the more optimistic any of the parties is, the lower the post-money firm ownership that party will retain. However, optimism leads parties to delay their decision to invest in the entrepreneurial firm, by demanding higher profit triggers and investing only in more valuable entrepreneurial firms. The combination of these two effects leaves perceived returns on investment unchanged and not dependent on their own optimism.     

An Option-Based Operational Risk Management Model for Pandemics

Abstract

In this paper we employ the theory of real option pricing to address problems in the area of operational risk management. We develop a two-stage model to help firms determine the optimal suspension-reactivation triggers in the events of pandemics. In the first stage, we propose a regime-dependent epidemic model to simulate the spread of the virus, depending on whether the firm is active or inactive. In the second stage, we view the reactivation decision as a call option and the suspension decision as a put option, and use dynamic programming methods to obtain the optimal switching thresholds. Our method can be regarded as a quantitative implementation of the CDC’s instructions for pandemic preparation. We find that when they take the uncertainty of disease transmission into consideration, firms are more conservative about the decisions of suspension and reactivation. We also find that when firms incur switching costs, the suspension threshold increases with costs, whereas the reactivation threshold decreases with costs. By adopting disease control policies, firms can increase their values in both regimes.     

Return predictability and shareholders’ real options

This study re-interprets the properties of the residual income model by highlighting the shareholders’ abandonment (liquidation or adaptation) option. We estimate the value of this real option as an explicit component of abnormal earnings in the residual income model and test the improvement in valuation after incorporating it into the model. Relative to the traditional specification of the residual income model, this real options model has a stronger predictive power for future abnormal stock returns. We also find that the superior return predictability of the real options model is pronounced in the set of firms with a high probability of exercising liquidation options (for example, those with low profitability, low growth opportunities, high underlying asset volatility, and low intangible assets), which is consistent with the importance of shareholders’ abandonment option in equity valuation. The results are robust to extensive sensitivity checks.     

Option Profit and Loss Attribution and Pricing: A New Framework

This paper develops a new top-down valuation framework that links the pricing of an option investment to its daily profit and loss attribution. The framework uses the Black-Merton-Scholes option pricing formula to attribute the short-term option investment risk to variation in the underlying security price and the option's implied volatility. Taking risk-neutral expectation and demanding no dynamic arbitrage result in a pricing relation that links an option's fair implied volatility level to the underlying volatility level with corrections for the implied volatility's own expected direction of movement, its variance, and its covariance with the underlying security return.     

Equity value,implied cost of equity and shareholders’ real options

This study investigates the effects of shareholders’ real options on (i) firm financial performance and (ii) estimations of the implied cost of equity. After measuring the equity value of steady‐state operations using the residual income model, and the abandonment and expansion options using the Black‐Scholes option pricing model, I find that firms with a large expansion (abandonment) option value experience better (worse) financial performance than those with a small such value. I also find that ignoring these options results in a downward bias in implied cost of equity estimates by an average of 1.23 percentage points.     

Hedging the purchase of direct inputs in an inflationary environment

An important category of costs that management need to plan for and control are the costs associated with the purchase of direct inputs. Traditional operations management methodologies model this problem as requiring management to direct attention to the trade-off between inventory holding costs versus stock-out and back-ordering costs. However, when advance purchase agreements on inventory can be made management can purchase claims which do not give rise to holding costs and hence the traditional analysis of the problem requires augmentation. Working under the assumption of non-resellability of inventory, we show how advance purchase agreements can be cast within an options framework. This allows us to reinterpret the problem as determining the optimal hedge for accounting profit and hence provides constructive guidelines for financial managers concerned about the effects of input price volatility on accounting profit.     

Predictable dynamics in implied volatility surfaces from OTC currency options

Recent empirical studies report predictable dynamics in the volatility surfaces that are implied by observed index option prices, such as those prescribed by general equilibrium models. Using an extensive data set from the over-the-counter options market, we document similar predictability in the factors that capture the daily variation of surfaces implied by options on 25 different foreign exchange rates. We proceed to demonstrate that simple vector autoregressive specifications for the factors can help produce accurate out-of-sample forecasts of the systematic component of the surface at short horizons. Profitable delta-hedged positions can be set up based on these forecasts; however, profits disappear when typical transaction costs are taken into account and when trading rules on wide segments of the surface are sought.     

Real estate development as an option

Subject to legal limitations, the owner of undeveloped real estate can determine both the date and density at which to develop his property. Alternatively, he can abandon his property. The value of these options depends partly on the stochastic evolution through time of the operating revenues and construction costs of developed property. In this paper the option pricing problem is solved analytically and numerically for the optimal data and density of development, the optimal date of abandonment, and the resulting market values of the developed and undeveloped properties.     

The Distributional Efficiency of Alternative Regulatory Regimes: A Real Option Approach

This paper studies the effects of regulatory constraints on firm's irreversible investment decisions. The RPI–x rule is compared to a profit sharing rule, which increases the x factor in case profits go beyond a given level.When the firm has an option to delay investment, these rules have the same impact on investment choices. As profit sharing has a greater ability to extract rents, however, it is more efficient than the RPI–x rule.     

THE ECONOMIC VALUE OF USING REALIZED VOLATILITY IN FORECASTING FUTURE IMPLIED VOLATILITY

We examine the economic benefits of using realized volatility to forecast future implied volatility for pricing, trading, and hedging in the S&P 500 index options market. We propose an encompassing regression approach to forecast future implied volatility, and hence future option prices, by combining historical realized volatility and current implied volatility. Although the use of realized volatility results in superior performance in the encompassing regressions and out-of-sample option pricing tests, we do not find any significant economic gains in option trading and hedging strategies in the presence of transaction costs.     

Investment and Abandonment Decisions with Uncertain Price and Cost

We analyze firms' investment and abandonment decisions when both output price and investment cost change stochastically. The model allows for and makes endogenous the abandonment decision, thereby incorporating irreversibility. We show that the investment trigger may be much higher than the standard net present value rule suggests even when a substantial portion of the investment cost may be recovered. Further, we argue that the correlation between output price and investment costs significantly affects the effect of irreversibility on investment behavior. Empirical implications are discussed with extensive numerical illustrations, along with an application to the banking industry.