A generalization of the Hull and White formula with applications to option pricing approximation

By means of Malliavin calculus we see that the classical Hull and White formula for option pricing can be extended to the case where the volatility and the noise driving the stock prices are correlated. This extension will allow us to describe the effect of correlation on option prices and to derive approximate option pricing formulas.A previous version of this paper has benefited from helpful comments by two anonymous referees.     

Real option pricing with mean-reverting investment and project value

In this work, we are concerned with valuing the option to invest in a project when the project value and the investment cost are both mean-reverting. Previous works on stochastic project and investment cost concentrate on geometric Brownian motions (GBMs) for driving the factors. However, when the project involved is linked to commodities, mean-reverting assumptions are more meaningful. Here, we introduce a model and prove that the optimal exercise strategy is not a function of the ratio of the project value to the investment V/I – contrary to the GBM case. We also demonstrate that the limiting trigger curve as maturity approaches traces out a nonlinear curve in (V, I) space and derive its explicit form. Finally, we numerically investigate the finite-horizon problem, using the Fourier space time-stepping algorithm of Jaimungal and Surkov [2009. Lev´y based cross-commodity models and derivative valuation. SIAM Journal of Financial Mathematics, to appear. http://www.ssrn.com/abstract=972837]. Numerically, the optimal exercise policies are found to be approximately linear in V/I; however, contrary to the GBM case they are not described by a curve of the form V*/I*=c(t). The option price behavior as well as the trigger curve behavior nicely generalize earlier one-factor model results.     

Optimal investment and production decisions and the value of the firm

We explore the effects of uncertainty on a firm that can respond by modifying its investment or production schedule (or both simultaneously) to variations in output price. Investment may increase capacity and/or reduce costs. We consider a firm with finite resources.Our model uses option theory instead of the more traditional net present value framework. One of the early papers using this approach is Brennan and Schwartz (1985) in which an investment project to extract a finite natural resource is valued. In that paper, the value of the firm is a function of two state variables, the finite resource to be extracted (output to be produced in the future) and the commodity spot price. In order to maximize firm value, the manager can respond by modifying one control variable, the production level. In our model we handle instead three state variables (spot price, resources, accumulated investment) and two control variables (production rate and investment rate), and solve numerically.We obtain both the value and the optimal policy of a firm that has investment projects that increase capacity and/or reduce costs and illustrate optimal policies as resources and available investments decrease over the life of the firm. Firms may start by only investing, then invest and produce, to end only producing.We thank Scott Wo, the referee and the editor for their comments and suggestions. Cortázar and Lowener acknowledge the financial support from FONDECYT and FONDER.     

High-speed rail transport valuation and conjecture shocks

In this paper, we derive the optimal investment policy in a high-speed rail transport (HSR) project. We assume that the source of uncertainty comes from the annual demand, and that it follows a geometric Brownian motion with jumps of random magnitude, occurring in random times, according to a Poisson process. We assess the impact of these shocks on the demand threshold, along with the investment opportunity value and option to differ. We consider several distributions for these jumps, and we compare with the no-jumps case. Numerical results are presented, showing the importance of assumptions about the underlying stochastic process.     

创新支持政策下自贸试验区企业多阶段研发投资动态决策分析

基于实物期权理论,构建自贸试验区企业多阶段研发投资动态决策模型,运用数值模拟方法,考量自贸试验区相关税收、补贴以及知识产权保护等创新支持政策对企业研发投资行为的影响。结果显示：相比传统投资决策方法,多阶段研发投资动态决策模型能更好地帮助企业根据市场环境变化动态调整研发投资策略,发掘政策红利;有助于政府及时调整与完善相关政策,激励与引导企业创新。鉴于此,需完善鼓励类产业目录、优化事中事后监管规则、健全知识产权保护机制、适时调整企业发展战略。     

互联网企业价值评估模型比较研究

基于互联网企业轻资产、高估值、迭代快以及风险大等特点,比较传统价值评估模型与Schwar-tz-Moon等实物期权价值评估模型,分别运用于评估案例企业泛微网络价值.结果发现,相较于传统现金流贴现模型,实物期权价值评估模型评估结果更接近于公司实际价值.三种实物期权模型敏感性分析表明:Schwartz-Moon模型评估误差最小,且模型稳健性最强,适用于不确定性高的互联网企业估值.     

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.     

保险资金不动产投资模式研究

本文首先对国际上保险资金进行不动产直接投资和间接投资的情况进行了概述,然后对保险资金不动产投资模式进行了归纳总结和案例分析。在此基础上,对我国目前保险资金不动产投资政策与模式进行了探讨。最后,针对我国保险资金不动产投资业务的发展提出了相关建议。     

Valuing long-term leases: The option to redevelop

Long-term leases on property are popular in many jurisdictions, both with private vendors and with local governments who want to retain future control over land use. A puzzling issue for vendors and purchasers has been how to value these leased properties relative to fee-simple properties. Simple present-value models suggest that there should be little difference between the price of fee-simple land and the price of long-term leases. Transaction prices in Canada on 80-year to 100-year residential leases, however, are 20 percent to 40 percent less than comparable fee-simple properties. We outline a financial model for valuing leased properties. The value of the option to upgrade or redevelop is considered. We show that the large part of the discount of leased properties from fee-simple properties can be explained by this option to redevelop.     

Valuing qualitative options with stochastic volatility

We find a closed-form formula for valuing a time-switch option where its underlying asset is affected by a stochastically changing market environment, and apply it to the valuation of other qualitative options such as corridor options and options in foreign exchange markets. The stochastic market environment is modeled as a Markov regime-switching process. This analytic formula provides us with a rapid and accurate scheme for valuing qualitative options with stochastic volatility.     

Financial Shocks and Corporate Investment in Emerging Markets

We examine how cross-firm and cross-country heterogeneity shapes the responses of corporate investment in emerging markets to changes in U.S. monetary policy and financial-market volatility, the latter proxying for uncertainty. We find that in response to increases in U.S monetary policy rates or financial-market volatility, financially weaker firms reduce investment by more than financially strong firms. We also show that firms with stronger balance sheets delay investment voluntarily when faced with higher uncertainty. Finally, we find that stronger macroeconomic fundamentals (lower public debt or higher international reserves) help to buffer corporate investment from increases in U.S. monetary policy rates.     

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.     

房地产市场运行及未来趋势展望

2011年在以限购为主的房地产调控政策作用下,市场需求受到抑制,商品房销售增速明显低于历史同期平均水平。保障性住房全年开工建设任务已经提前完成,受其拉动,房地产开发投资保持高位。当前,保障性住房建设全面展开,以限购为主的调控政策短期不会退出,并呈现向二三线城市扩大的趋势,一些前期房价上涨过快的城市降价促销愈演愈烈,商品房价格回调趋势明显。