Retailer's Response to Alternate Manufacturer's Incentives Under a Single‐Period,Price‐Dependent,Stochastic‐Demand Framework*

This article considers the joint development of the optimal pricing and ordering policies of a profit‐maximizing retailer, faced with (i) a manufacturer trade incentive in the form of a price discount for itself or a rebate directly to the end customer; (ii) a stochastic consumer demand dependent upon the magnitude of the selling price and of the trade incentive, that is contrasted with a riskless demand, which is the expected value of the stochastic demand; and (iii) a single‐period newsvendor‐type framework. Additional analysis includes the development of equal profit policies in either form of trade incentive, an assessment of the conditions under which a one‐dollar discount is more profitable than a one‐dollar rebate, and an evaluation of the impact upon the retailer‐expected profits of changes in either incentive or in the degree of demand uncertainty. A numerical example highlights the main features of the model. The analytical and numerical results clearly show that, as compared to the results for the riskless demand, dealing with uncertainty through a stochastic demand leads to (i) (lower) higher retail prices if additive (multiplicative) error, (ii) lower (higher) pass throughs if additive (multiplicative) error, (iii) higher claw backs in both error structures wherever applicable, and (iv) higher rebates to achieve equivalent profits in both error structures.     

关于住房融资证券化的必要性与设想

促进住房消费是我国政府为提高人民的生活质量和扩大内需而实施的重大举措。本文认为．启动与繁荣住房市场,有赖于住房金融业的发展,住房金融的间接融资是住房业生存与发展的双足,住房金融的直接融资则能为住房业发展插上双翅,因而提出了关于住房融资证券化的若干设想。     

Dynamic Pricing and Lead‐Time Policies for Make‐to‐Order Systems*

Make‐to‐order firms use different approaches for managing their lead‐times and pricing in the face of changing market conditions. A particular firm's approach may be largely dictated by environmental constraints. For example, it makes little sense to carefully manage lead‐time if its effect on demand is muted, as it can be in situations where leadtime is difficult for the market to gauge or requires investment to estimate. Similarly, it can be impractical to change capacity and price. However, environmental constraints are likely to become less of an issue in the future with the expanding e‐business infrastructure, and this trend raises questions into how to manage effectively the marketing mix of price and lead‐time in a more “friction‐free” setting. We study a simple model of a make‐to‐order firm, and we examine policies for adjusting price and capacity in response to periodic and unpredictable shifts in how the market values price and lead‐time. Our analysis suggests that maintaining a fixed capacity while using lead‐time and/or price to absorb changes in the market will be most attractive when stability in throughput and profit are highly valued, but in volatile markets, this stability comes at a cost of low profits. From a pure profit maximization perspective, it is best to strive for a short and consistent lead‐times by adjusting both capacity and price in response to market changes.     

A Framework for Estimating Benefits of Using Auctions in Revenue Management*

We develop a stochastic model to explore the benefits of incorporating auctions in revenue management. To the best of our knowledge the extant literature on modeling in revenue management has not considered auctions. We consider three models, namely, a traditional fixed price (non‐auction) model, a pure auction model, and a hybrid auction model and evaluate their revenue performance under a variety of conditions. The hybrid approach outperforms the other two in all 24 scenarios and yields an average revenue increase of 16.1% over the next best. A surprise finding is that there is no significant difference between the performance of the fixed price and pure auction approaches. A sensitivity analysis reveals that the relative superiority of the hybrid revenue management strategy is reasonably robust.     

Real Estate Taxation and Commercial Mortgage Underwriting

Recent disclosures about problem commercial real estate loans have exposed the underwriting process to intense scrutiny. This study focuses on mortgage loan underwriters of life insurance companies. After a review of the tax changes that affected commercial real estate from 1969 through 1988, the study tests how loan underwriters reacted to changes in tax benefits. To overcome the interdependent effects of interest rates and capitalization rates, a variation of the Black-Scholes pricing model is used to test the impact of changes in tax benefits. The results indicate that the underwriters do not fully incorporate the value of tax benefits in the underwriting decision. During the period of the largest tax benefits, 1982 to 1986, underwriters became more conservative and increased their equity requirements.     

套利定价模型在上海股票市场的有效性检验

文章以上海股票市场486家上市公司的数据为样本,对套利定价模型在我国证券市场的有效性进行了检验.实证结论表明:公司规模、市值与账面价值比以及市盈率对股票收益率没有显著影响,股票市场价格的变动是随机的,即套利定价模型在上海股票市场是无效的.     

THE EFFECTS OF VARIABLE AND FIXED TRANSACTION COSTS ON OPTIMAL INVESTMENT DECISIONS

This paper studies the impact of variable and fixed transaction costs on investment decisions under conditions of risk. The decision model is first formulated as a mixed-integer nonlinear program. The following subjects are then examined: the structure of the investment frontier facing the investor and the effects of transaction costs on this frontier, the impact of transaction costs on the investor's optimal investment strategy, and the conditions for the equilibrium structure of risky asset prices and risk-return relationships. The main finding is that the relaxation of the assumption of the absence of transaction costs eliminates some of the most unattractive implications of the classic capital asset pricing model (CAPM) while preserving the more attractive implications of this model. Also, our model provides explanations for some discrepancies between the theoretical CAPM and empirical findings and, therefore, is a step toward narrowing the gap between theory and practice.     

THE CAPITAL MARKET VALUE OF A MULTIPERIOD INVESTMENT WITH THE OPTION OF PREMATURE ABANDONMENT

Conventional approaches to determining optimal abandonment of a project under uncertainty either assume risk-neutrality or impose a mean-variance criterion. Risk-neutrality is unrealistic while the mean-variance criterion precludes determination of the optimal strategy without consideration of covariances of returns among projects. Further, the use of variance of present value as a risk measure may result in the “optimality” of a time 0 strategy that involves maintaining a position at time t that will be “suboptimal” and would not be maintained. The use of the multiperiod capital asset pricing model (CAPM) as a decision criterion is consistent with contemporary theory of market behavior and remedies the deficiencies of the mean-variance approach noted above. Computationally, the optimal strategy for abandonment, when the commitment must be made at time 0 (a lease, say), can be determined with little difficulty beyond that of mean-variance models. When time of abandonment can remain unspecified, the value of the prospect that abandonment will occur at the optimal time can be determined, though the technique necessary is considerably more complicated. In both cases, the marginal costs of commitments that limit discretion over abandonment can be determined and attributed to those commitments.     

Determining Optimal Selling Price and Lot Size When the Supplier Offers All-Unit Quantity Discounts*

This paper is concerned with finding the optimal price and lot size for a retailer purchasing a product for which the supplier offers all-unit quantity discounts. Demand for the product is assumed to be a decreasing function of price, and a procedure is developed for finding the optimal price and lot size for a class of demand functions. The procedure then is applied to two common demand functions: (1) the constant price-elasticity function, and (2) the linear demand function.     

价格上限下的高峰负荷电价效率比较研究

电价改革是电力市场化改革的核心,合理的电价应是电价水平和电价结构的有机结合。对不同价格上限形式下高峰负荷电价效率的比较分析表明,价格上限管制具有财务收支平衡的效应。与绝对价格上限管制相比,相对价格上限管制更具有优越性,在相对价格上限管制条件下制定的高峰负荷电价趋向于拉姆塞价格,能使社会福利尽可能最大化。同时,对于相对价格上限管制来说,无论是采用拉氏物价指数还是帕氏物价指数,管制所起的效率是完全相同的。