Mortgage Put Options and Real Estate Markets

In this paper we offer direct evidence that financial intermediation does impact underlying asset markets. We develop a specific observable symptom of a banking system that underprices the put option imbedded in non-recourse asset-backed lending. Using a dataset for 19 countries and over 500 real estate investment trusts, we find that, following a negative demand shock, the “underpricing” economies experience far deeper asset market crashes than economies in which the put option is correctly priced.

Abandonment Options and Information System Design

We study a principal-agent model of moral hazard in which the principal has an abandonment option. The option to abandon a project midstream limits a firm's downside risk. From a consumption (production) perspective, the option is clearly beneficial. However, from an incentive perspective, the option can be costly. Removing the lower tail of the project's underlying cash flow distribution also eliminates the information it contains about an agent's (unobservable) productive input. In addition, there is also the issue that the option holder cannot always (ex ante) commit to the precise circumstances under which the option will be exercised. These concerns introduce an interaction in the valuation of the abandonment option and information system. In particular, the manner in which information is coarsened and the direction of the flow of information are critical design parameters that affect option value.     

Real Options: Experimental Evidence

Empirical testing of the real options theory has been very limited. This is primarily due to various inherent problems with obtaining field data for many components of real options theory. This paper utilizes experimental methodology to generate the data. The advantage of the experimental approach is that it enables the investigator to generate reliable and replicable data in a controlled environment. The results of the experiment indicate that fundamental insights of real options theory are not evident to individual investors. The majority invested too early and thus failed to recognize the benefit of the option to wait. However, when the investors had to compete with others for the right to invest, their bids generally reflected the value of the embedded option. Furthermore, as predicted by the theory, their bids increased with greater uncertainty about future cash flows from the investment.     

Options trades,short sales and real earnings management

We study the link between measures of stock options’ volatility and firms’ real earnings management (RM). We hypothesise that RM causes uncertainty in the value of a firm’s common stock and, as a result, increases the volatility spread and skew of the firm’s options. Spread and skew proxy for investors’ uncertainty in the value of the options underlying a stock. Consistent with our hypothesis, we find an association between a firm’s use of RM, and the volatility spread and skew in the firm’s options, more precisely in its put options. We also study the link between short selling and the extent of RM but do not find a consistent relationship between the two.     

Stochastic integrals driven by fractional Brownian motion and arbitrage: a tale of two integrals

Recent research suggests that fractional Brownian motion can be used to model the long-range dependence structure of the stock market. Fractional Brownian motion is not a semi-martingale and arbitrage opportunities do exist, however. Hu and Øksendal [Infin. Dimens. Anal., Quant. Probab. Relat. Top., 2003, 6, 1–32] and Elliott and van der Hoek [Math. Finan., 2003 Elliott, RJ and van de Hoek, J. 2003. A general fractional white noise theory applications to finance. Math. Finan., 13: 301–330. [Crossref], [Web of Science ®] , [Google Scholar], 13, 301–330] propose the use of the white noise calculus approach to circumvent this difficulty. Under such a setting, they argue that arbitrage does not exist in the fractional market. To unravel this discrepancy, we examine the definition of self-financing strategies used by these authors. By refining their definitions, a new notion of continuously rebalanced self-financing strategies, which is compatible with simple buy and hold strategies, is given. Under this definition, arbitrage opportunities do exist in fractional markets.     

Real Options, (Dis)Investment Decision-Making and Accounting Measures of Performance

This paper suggests that a residual income-type measure of performance can be designed which supports optimal investment and disinvestment decision-making in a real options framework involving the options to wait before investing and to abandon. The measure has a number of advantages and disadvantages. Nonetheless, the balance of advantage versus disadvantage for the proposed measure must be set against the inadequacies of other competing measures of performance and associated organisational designs. Even if the measure of performance suggested is not regarded as practically useful, it has another general advantage – it can be used as a benchmark against which to evaluate other performance measures with regard to their support of optimal investment and disinvestment decision-making in a real options framework.     

Real Options, (Dis)Investment Decision-Making and Accounting Measures of Performance

This paper suggests that a residual income-type measure of performance can be designed which supports optimal investment and disinvestment decision-making in a real options framework involving the options to wait before investing and to abandon. The measure has a number of advantages and disadvantages. Nonetheless, the balance of advantage versus disadvantage for the proposed measure must be set against the inadequacies of other competing measures of performance and associated organisational designs. Even if the measure of performance suggested is not regarded as practically useful, it has another general advantage – it can be used as a benchmark against which to evaluate other performance measures with regard to their support of optimal investment and disinvestment decision-making in a real options framework.     

Window Double Barrier Options

This paper examines a path-dependent contingent claim called the window double barrier option, including standard but also more exotic features such as combinations of single and double barriers. Price properties and hedging issues are discussed, as well as financial applications.Explicit formulae are provided, along with simple techniques for theirimplementation. Numerical results show that they compare very favourablywith alternative pricing approaches in terms of accuracy and efficiency.     

Laboratory Evidence on How Managers Intuitively Value Real Growth Options

We asked 82 experienced managers to value, in effect, a set of real options, by taking decisions on invented case studies. The classic Black Scholes model should set an upper bound for rational valuations of these options (since it assumes a risk neutral discount rate, which may be optimistic). The managers valued their options erratically, and generally optimistically, though their responses to changes in moneyness, volatility and maturity tended to be in the 'correct' directions. Oil industry managers over-valued least, relative to Black-Scholes, and Brewery managers most. Questionnaires explored managers' perceptions of the real option parameters encountered in their workplaces.     

Skew Brownian Motion and Pricing European Options

Abstract

The volatility smile and systematic mispricing of the Black–Scholes option pricing model are the typical motivation for examining stochastic processes other than geometric Brownian motion to describe the underlying stock price. In this paper a new stochastic process is presented, which is a special case of the skew-Brownian motion of Itô and McKean. The process in question is the sum of a standard Brownian motion and an independent reflecting Brownian motion that is similar in construction to the stochastic representation of a skew-normal random variable. This stochastic process is taken in its exponential form to price European options. The derived option price nests the Black–Scholes equation as a special case and is flexible enough to accommodate stochastic volatility as well as stochastic skewness.     

Multiple State Property Options

Before taking strategic actions in property investments, consider the type and number of expansion, contraction and suspension alternatives and the future profit volatility. The optimal investment strategy for a current or prospective property owner should reflect the expected variability of future profits (rent times occupancy times units available), and current profits relative to threshold trigger profits for a variety of alternative states and actions. These alternatives include remaining idle, building and operating properties, expanding, contracting, suspending, reverting to normal service or reduced service capacity, or abandoning. A valuation model is developed for up to eight different options, each with a distinct trigger. Then numerical solutions show optimal profit triggers and valuations for each of these real options. Generally, increasing the number of options reduces the investment and abandonment triggers, and increases the values of the investment option and total option values, given these alternatives and parameters. The relevant parameters will depend on the investment context and feasible actions, but generally include interest rates, profit volatility, and irrecoverable costs of investment, expansion, contracting, suspension and abandonment. Generally increases in investment costs reduce the value of upward options, and increases the optimal triggers for exercising those options. Increases in expected profit volatility increase the value of all options, increases investment triggers and decreases abandonment triggers. These generic models may be appropriate for many contexts where the costs of changing states are partially irrecoverable, yet where management has some flexibility to alter scale, quality and pricing of assets and services.     

The Real Options Component and Market Value of Taiwan Technological Companies

Real options valuation has been applied in real investment extensively. However the empirical researches of real options components’ value are seldom studied. This study uses the panel data model to test whether the stock prices of Taiwan listed companies reflect investor’s expectations regarding the value of real options. This article demonstrates that investors cannot ignore the real options components when evaluating stock market value. The results also confirm that the proportion of a firm’s market value not due to assets-in-place is significantly and positively related to the variables of stock beta, skewness of stock returns, size, capital stock, and research and development. In addition, firms with lower firm life cycle have a higher real options value.     

Frictions, Heterogeneity and Optimality in Mortgage Modeling

The purpose of this article is to provide a unified framework for incorporating frictions into a theoretical options-pricing model (OPM) for mortgages. This article presents formulation for a frictions-adjustable mortgage model that integrates borrower heterogeneity while simultaneously preserving prepayment and default financial decisions. Our model demonstrates the flexibility of the OPM by simulating separate and concurrent effects of three categories of frictions on the mortgage and mortgage components. Researchers can use our example formulation to determine the effects of specific borrower characteristics on mortgage values without destroying the options theoretic framework.     

Options markets, self-fulfilling prophecies, and implied volatilities

This paper answers the following often asked question in option pricing theory: if the underlying asset's price does not satisfy a lognormal distribution, can market prices satisfy the Black-Scholes formula just because market participants believe it should? In complete markets, if the underlying asset's objective distribution is not lognormal, then the answer is no. But, in an incomplete market, if the underlying asset's objective distribution is not lognormal and all traders believe it is, then the answer is yes! The Black-Scholes formula can be a self-fulfilling prophecy. The proof of this second assertion consists of generating an economy where self-confirming beliefs sustain the Black-Scholes formula as an equilibrium. An asymmetric information model is provided, where the underlying asset's price has stochastic volatility and drift. This model is distinct from the existing pricing models in the literature, and it provides new empirical implications concerning Black-Scholes implied volatilities and the bid/ask spread. Similar to stochastic volatility models, this model is consistent with the implied volatility “smile” pattern in strike prices. In addition, it is consistent with implied volatilities being biased predictors of future volatilities.     

The Expected Return and Exercise Time of Merton-style Real Options

We analyse the rate of return and expected exercise time of Merton-style options (1973) employed in many real option situations where the possibility of exercise is both perpetual and American in nature. Using risk-neutral and risk-adjusted pricing techniques, Merton-style options are shown to have an expected return that is a constant percentage of the option value and independent of the proximity to the critical exercise boundary. Merton options thus remain at the same point on the Security Market Line, unlike European options whose position and rate of return change dynamically. We also present formulae for the expected time and discounted times to exercise and analyse the dependency of these variables on volatility.     

Call Options, Points, and Dominance Restrictions on Debt Contracts

We analyze the impact of a contract's length, callability, amortization, and original discount by arbitrage methods. Among instruments that are callable without penalty, longer instruments command a higher interest rate because the borrower possesses the option of repaying relatively more slowly. However, the rate on longer self-amortizing loans cannot be substantially larger than for shorter ones because the payments decrease with contract length. Bounds on the trade-off between points and rate for callable debt are characterized using the trade-off for noncallable debt and the property that the value of the prepayment option increases with the loan's interest rate.     

Pricing Commodity Spread Options with Stochastic Term Structure of Convenience Yields and Interest Rates

The purpose of this research is to provide a valuation formula for commodity spread options. Commodity spread options are options written on the difference of the prices (spread) of two commodities. From the aspect of commodity contingent claims, it is considered that commodity spread options are difficult to evaluate with accuracy because of the existence of the convenience yield. Hence, the model of the convenience yield is the key factor to price commodity spread options. We use the concept of future convenience yields to develop the model that enriches the stochastic behavior of convenience yield. We also introduce Heath-Jarrow-Morton interest rate model to the valuation framework. This general model not only captures the mean reverting feature of the convenience yield, but also allows us to handle a very wide range of shape that the term structure of convenience yield can take. Therefore our model provides various types of models. The numerical analysis presented in this paper provides some unique features of commodity spread options in contrast to normal options. These characteristics have never been addressed in previous studies. Moreover, it suggests that the existing model overprice commodity spread options through neglecting the effect of interest rates.     

Optimal Incentive Contracts for Loss‐Averse Managers: Stock Options versus Restricted Stock Grants

This paper provides an explanation for the widespread use of stock option grants in executive compensation. It shows that the optimal incentive contract for loss‐averse managers must contain a substantial portion of stock options even when it should consist exclusively of stock grants for “classical” risk‐averse managers. The paper also provides an explanation for the drastic increase in the risk‐adjusted level of CEO compensations over the past two decades and argues that more option‐based compensation should be used in firms with higher cash flow volatility and in industries with a higher degree of heterogeneity among firms.     

The Valuation of Executive Stock Options in an Intensity-Based Framework

This paper presents a general intensity-based framework to value executive stock options (ESOs). It builds upon the recent advances in the credit risk modeling arena. The early exercise or forfeiture due to voluntary or involuntary employment termination and the early exercise due to the executive's desire for liquidity or diversification are modeled as an exogenous point process with random intensity dependent on the stock price.Two analytically tractable specifications are given where the ESO value, expected time of exercise or forfeiture, and the expected stock price at the time of exercise or forfeiture are calculated in closed-form.