Generalised Geske--Johnson Interpolation of Option Prices

Abstract:  This paper describes four separate option types as special cases of Bermudans with general inter–exercise and time to final maturity. This produces a surface with European, finite American, infinite Bermudan and infinite American options as special cases. This allows Geske–Johnson (1984) two–point pricing to be extended to consider time–to–maturity as well as time–between–exercise opportunities. Due to their position on this 'map', infinite Bermudans are christened Arctic options and their pricing solution is presented. Numerical comparisons to benchmark methods are made for call prices under GBM although the results here hold for other processes and for both puts and calls when symmetry arguments are invoked.     

中国省际金融发展水平测度

长期以来,金融发展的度量问题往往被国内外学者所忽视。本文从省际层面对金融发展水平的测度问题进行研究,不但对全国及省际的金融发展指标进行了探讨,而且对各地区金融发展水平进行了估算与比较,最后提出了具有针对性的政策建议。     

Taxation on Land Value and Development When There Are Negative Externalities from Development

This article employs a real options framework to investigate the design of taxation on both land value and development in a competitive real estate market. We assume that developed properties reduce open space, and thereby harm urban residents. However, ignoring this negative externality, landowners will develop properties sooner than is socially optimal. A regulator can correct this tendency by imposing a positive tax on development or a negative tax on land value. Alternatively, the regulator can implement both instruments simultaneously, in which case an increase in the tax rate on development will be accompanied by an increase in the tax rate on land value, and vice versa.

The Structure of Chinese Urban Land Prices: Estimates from Benchmark Land Price Data

Taking the recent benchmark land prices published by the Chinese city governments, the paper estimates commercial and residential land price curves of Chinese cities using cross-sectional data, controlling for urban population size and income level. The urban land leasing price–distance relationship is estimated based on the argument that monocentric urban structure is representative for Chinese cities. Both population size and income level are found to positively affect urban land price and price–distance gradients. Commercial land prices are higher than residential land prices except in suburbs or outer central urban areas, where the land prices of different uses converge. In most situations, commercial use price gradients are larger than those of residential use.

Land Prices and Land Assembly in the CBD

There is substantial empirical evidence of price concavity in the parcel-size dimension across land-use types and across urban regions. This article examines the degree to which concavity varies between the Central Business District (CBD) and the rest of the urban area. The article provides strong empirical support that the degree of concavity within the CBD is lower than in the rest of the county. Although concavity may be the dominant pricing relationship throughout most urban areas, there is some evidence of the presence of a convex price structure within the urban center.     

House Prices, Fundamentals and Bubbles

Abstract:  This paper studies actual (real) house prices relative to fundamental (real) house values. Such a focus is warranted since housing constitutes a large fraction of most household portfolios, and its characteristics are such that, in contrast to what prevails in financial markets, arbitrage will be limited and hence correction toward 'true' value is likely to be a prolonged process. Using UK data and a time-varying present value approach, our results preclude the existence of an explosive rational bubble due to non-fundamental factors. We further find that intrinsic bubbles have an important role to play in determining actual house prices although price dynamics appear to impact, particularly in periods of strong deviation from fundamental value. Price dynamics are found to be driven by momentum behaviour.     

The Wealth Effects of Land Acquisition

We examine the wealth effects of land acquisition using on a unique set of public land auction data in Singapore. The results of our event study provide evidence of positive excess returns associated with announcements of successful land acquisition. The evidence also supports the hypothesis that the excess return is related positively to the ability of the successful bidder to create value from the development process. In addition, the magnitude of the excess gains is related positively to the level of uncertainty in a development and inversely to the propensity of the winning bidder engaging in non-wealth maximization activities.     

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.     

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.