Understanding liquidity shortages during severe economic downturns

One feature of economic recessions is the appearance of aggregate liquidity shortages that can exacerbate the economic downturn. We develop a model in which the demand for liquidity arises suddenly in response to continued funding needs of partially completed investment projects whose outcomes are subject to idiosyncratic shocks and moral hazard. When the economy experiences an adverse aggregate productivity shock, incentive constraints that underlie equity contracts may bind, provided the shock is severe enough. In this case, credit-rationing appears, and the heightened demand for liquidity coincides with a greater reluctance to take on equity positions or deepen investments in on-going investment projects. The consequence is a reduction in new investment and termination of on-going projects due to a lack of liquidity, thereby worsening the economic slowdown.     

Revisiting the matching function

There is strong empirical evidence for Cobb–Douglas matching functions. We show in this paper that this widely found relation between matches on the one hand and unemployment and vacancies on the other hand can be the result of different underlying mechanisms. Obviously, it can be generated by assuming a Cobb–Douglas matching function. Less obvious, the same relationship results from a vacancy free-entry condition and idiosyncratic productivity shocks. A positive aggregate productivity shock leads to more vacancy posting, a shift of the idiosyncratic selection cutoff and thereby more hiring. We calibrate a model with both mechanisms to administrative German labor market data and show that idiosyncratic productivity for new contacts is an important driver of the elasticity of the job-finding rate with respect to the market tightness. Accounting for idiosyncratic productivity can explain the observed negative time trend in estimated matching efficiency and asymmetric business cycle responses to large aggregate shocks.     

Time preference and real investment

This paper studies the investment timing problem of an entrepreneur with a non-tradable real option with undiversifiable risk. We find that the time preference can have a significant impact on the risk attitude toward the idiosyncratic risk, which results from the wealth effect on the implied option value. If the agent is impatient (patient), an increase in idiosyncratic volatility increases (decreases) the agent’s value and delays (hastens) investment. This finding suggests several important implications and empirical predictions for investment decisions in private firms and public firms with concentrated ownership.     

House price risk and the hedging benefits of home ownership

Using a repeat-sales methodology, this paper finds that estimates of house price risk based on aggregate house price indices substantially underestimate the true size of house price risk. This is the result of the fact that aggregate house price indices average away the idiosyncratic volatility in house prices. Additional results show that the idiosyncratic risk exceeds the hedging benefits of home ownership. These results imply that for many home owners, owning a house may well add more price risk than it hedges away. These findings are based on a detailed dataset of individual housing transactions in the Netherlands.     

An effective hybrid variance reduction method for pricing the Asian options and its variants

In this paper, we propose a variance reduction method that combines importance sampling and control variates to price European Arithmetic Asian options and its variants (i.e., Asian options plus knock-in or knock-out options) under the Black-Scholes model. The numerical results show that the proposed methods are especially efficient under the following scenarios: in the money, low volatility, more sampling dates, and higher barrier thresholds.     

Optimal multiple stopping models of reload options and shout options

The reload provision in an employee stock option entitles its holder to receive one new (reload) option from the employer for each share tendered as the payment of strike upon the exercise of the stock option. The number of reloads allowed can be finite or infinite. The shout feature in a call option allows its holder to reset the option's strike price to the prevailing stock price upon shouting. We explore a symmetry relationship between the price functions of the employee reload options and shout call options. When the dividend yield of the underlying stock is zero, the value of the employee reload option can be expressed in terms of the price functions of a shout call option and a forward contract. For an employee reload option with an infinite number of allowable reloads, the payoff of the employee reload option can be related to the lookback feature of the stock price process. We also examine the optimal exercise policies of the multi-reload employee stock options. The behavior of the critical stock price at which the holder should exercise optimally is shown to depend on the relative magnitude of the dividend yield, interest rate and volatility. Our analysis of the multi-reload and multi-shout options contributes to the literature on optimal stopping policies of contingent claims with multiple stopping rights.     

Volatility swaps and volatility options on discretely sampled realized variance

Volatility swaps and volatility options are financial products written on discretely sampled realized variance. Actively traded in over-the-counter markets, these products are often priced by continuously sampled approximations to simplify the computations. This paper presents an analytical approach to efficiently and accurately price discretely sampled volatility derivatives, under a general stochastic volatility model. We first obtain an accurate approximation for the characteristic function of the discretely sampled realized variance. This characteristic function is then applied to price discrete volatility derivatives through either semi-analytical pricing formulae (up to an inverse Fourier transform) or an efficient Fourier-cosine series method. Numerical experiments show that our approximation is more accurate in comparison to the approximations in the literature. We remark that although discretely sampled variance swaps and options are usually more expensive than their continuously sampled counterparts, discretely sampled volatility swaps are more prone to be cheaper than the continuously sampled counterparts. An analysis is then provided to explain why this is the case in general for realistic contract specifications and reasonable model parameters.     

基于二叉树期权定价模型的房地产投资决策分析研究

将实物期权理论引入房地产投资决策过程中,分析了传统DCF法存在的缺陷和房地产投资的期权特性,建立了房地产投资项目的二叉树期权定价模型,并对该模型在实际投资中进行了案例分析。     

Options and earnings announcements: an empirical study for the European Options Exchange

In this paper we give an introduction in option pricing theory and explicitly specify the Black-Scholes model. Although market participants use this and similar models to price options, they violate one of the fundamental assumptions of the model. They do not set a constant value for the volatility of the underlying asset over time, but change the volatility even during a day. By means of event study methodology we investigate the volatility of the underlying asset and the volatility implicit in option prices around earnings announcements by firms. We find that the volatility in option prices increases before the announcement date and drops sharply afterwards. The volatility of the underlying stocks is higher only at the announcement dates and we do not observe a higher volatility around these dates. Hence, the constant volatility of the underlying asset, which is one of the assumptions in the Black-Scholes model, does not hold. However, the market seems to correctly anticipate the change in volatility, by correcting option prices.     

商业地产分期开发期权价值分析

开发企业采取分期开发方式,可以利用项目未知信息中蕴涵的机会给项目带来进一步选择的灵活性,以扩大项目价值。传统投资决策方法只适用于短期的、确定性高的一次性投资项目,而实物期权理论却是探讨分期开发投资的一种有效工具。采用Geske推导的复合看涨期权定价公式以及B-S简单看涨期权定价模型,构建分期开发期权价值计算模型,求解分期开发期权价值大小。该模型合理地评估了商业地产分期开发期权价值的大小,可以作为商业地产开发商进行投资决策的依据。     

The Fama-French model for estimating the cost of equity capital: The impact of real options of investment projects

We use the classic and modified Fama-French models to estimate the cost of capital of stock portfolios listed on selected markets. We compare four highly developed markets (US, EU, Japanese and global) and the Polish market as an alternative investment opportunity and a CEE emerging market. The performance of the applied procedures for estimating the cost of capital for company projects is examined and cost of capital is assessed with and without real option adjustment. We adjust the portfolios’ returns using the firms’ book-to-market ratios and idiosyncratic volatility as option proxies. The variability of cost of capital is evaluated using bootstrap methods. Our study shows a clear difference between bootstrapped distributions of cost of capital for the tested developed market and the Polish market portfolios. Wider confidence intervals of the estimated cost of capital of the studied Polish portfolios may result from political motivations in managing state-controlled companies. Our findings also indicate a clear difference between the cost of capital for tested portfolios with and without option adjustment. The widths of the estimated confidence intervals increase after option adjustment. The highest/lowest values of the cost of capital both with and without option adjustment are found for the US/Japanese market portfolios.     

Can idiosyncratic volatility help forecast stock market volatility?

This paper examines the predictive power of idiosyncratic volatility in the context of daily stock market volatility dynamics. Specifically, the relative performance of various models of market volatility is considered with respect to whether idiosyncratic volatility is excluded or included as an explanatory variable in such models. Using high frequency data covering the thirty stocks within the Dow Jones Industrial Average (DJIA) index, the results indicate that the inclusion of idiosyncratic volatility leads to significant in-sample and out-of-sample improvements in the fit of all the volatility models considered. These results are shown to be relatively robust to the loss function adopted by the forecaster, with reasonable forecast accuracy improvements available to such forecasters.     

战略投资决策中的实物期权思维方式

在现代市场经济条件下 ,传统投资决策方法已不适应由于环境的不确定性而产生的动态战略投资管理的需要。本文旨在通过对实物期权思维方式的介绍 ,说明它在企业战略投资决策思考中的应用     

Relative pricing of binary options in live soccer betting markets

Live soccer betting markets differ from other binary options markets in that all fundamental information is observable, the options mature in less than two hours and the markets are highly liquid. This study presents a new method for the identification of hidden information in market prices. The method is based on two independent Poisson distributions and on a numerical algorithm for the aggregation of all market price information into one rational number. The method is applied to an empirical dataset of real time market prices in 29,413 soccer games. The results indicate that the method selects the most profitable markets and allows for a significant improvement in average investment returns.     

Uncertain dynamics,correlation effects,and robust investment decisions

We analyze a firm׳s investment problem when the dynamics of project value and investment cost are uncertain. We provide an explicit solution using a robust method for an ambiguity averse firm taking this into account. Ambiguity aversion regarding a common risk factor impacts differently than ambiguity aversion regarding investment cost residual risk. Correlation between project value and investment cost matters; ambiguity aversion regarding common risk can decrease the investment probability only if correlation is positive. Ambiguity aversion regarding residual risk always increases the investment probability. When only project value is risky, volatility can monotonically decrease the investment threshold; this does not hold with the multiple prior method.     

Supply constraints and housing market dynamics

Although the volatility of house prices is often ascribed to demand-side factors, constraints on housing supply have important and little-studied implications for housing dynamics. I illustrate the strong relationship between the volatility of house prices and the regulation of new housing supply. I then employ a dynamic structural model of housing investment to investigate the mechanisms underlying this relationship. I find that supply constraints increase volatility through two channels: First, regulation lowers the elasticity of new housing supply by increasing lags in the permit process and adding to the cost of supplying new houses on the margin. Second, geographic limitations on the area available for building houses, such as steep slopes and water bodies, lead to less investment on average relative to the size of the existing housing stock, leaving less scope for the supply response to attenuate the effects of a demand shock. My estimates and simulations confirm that regulation and geographic constraints play critical and complementary roles in decreasing the responsiveness of investment to demand shocks, which in turn amplifies house price volatility.     

用实物期权增进供应链效率

将金融期权的思想和方法运用到企业经营实力，拓展和深化了期权思想的应用领域，而基于期权思想的供应链整体绩效改进的研究正日益引起理论界和企业界的关注。面对动态、复杂和激励的竞争态势，实物期权在投资决策中已经获得了相当程度的应用，但在供应链模型的应用中仍然缺少具有一般性、可操作的范式。因此，实物期权将更紧密的参与到企业战略制定过程，并被提升到战略管理的高度。论文对实物期权发展历程，理论界以及实务界对实物期权研究和应用情况进行了梳理，并总结了期权思想在供应链风险管理和整体设计中的研究进展。     

Incomplete markets, ambiguity, and irreversible investment

The problem of irreversible investment with idiosyncratic risk is studied by interpreting market incompleteness as a source of ambiguity over the appropriate no-arbitrage discount factor. The maxmin utility over multiple priors framework is used to model and solve the irreversible investment problem. Multiple priors are modeled using the notion of κ‐ignorance. This set-up is used to analyze finitely lived options. For infinitely lived options the notion of constant κ‐ignorance is introduced. For these sets of density generators the corresponding optimal stopping problem is solved for general (in-)finite horizon optimal stopping problems driven by geometric Brownian motion. It is argued that an increase in the set of priors delays investment, whereas an increase in the degree of market completeness can have a non-monotonic effect on investment.     

Evidence of irreversibility in the UK property market

The real options approach to valuation of property investment suggests that various sources of uncertainty about future returns on investment have important effects on irreversible property investment decisions. Our aim in this study has been to examine how investment decisions at three main stages of the property development/investment processes respond to different sources of uncertainty. Based on the methodology developed by Episcopos (1995), the neo-classical proposition of Hartman-Abel that predicts a positive investment-uncertainty relationship is tested against that proposed by the real option theory. It is interesting to note that our empirical findings are generally consistent with the prediction of the real option theory that uncertainty increases the option value to wait for the arrival of new information thus decreasing the current investment activities. In periods of high volatility, we would expect investors in the property market to be more prudent and scale down their investment exposure to market volatility compared with periods of a relatively stable market environment.