Enhanced equity-credit modelling for contingent convertibles

Contingent convertible (CoCo) bonds are characterized by forced equity conversion under either an accounting or regulatory trigger. The accounting trigger occurs when the capital ratio of the issuing bank falls below some contractual threshold. Under the regulatory trigger, sometimes called the point-of-non-viability (PONV) trigger, the regulatory authority may enforce equity conversion when the financial health of the bank deteriorates to certain distressed level. In this paper, we propose an equity-credit modelling of the joint process of the stock price and the capital ratio that integrates both a structural approach for the accounting trigger and a reduced-form approach for the PONV trigger of equity conversion. We also construct effective Fortet algorithms and finite difference schemes for numerical pricing of CoCo bonds under various forms of equity conversion pay-off. The pricing properties of CoCo bonds are examined under different assumptions for the state-dependent intensity of the PONV trigger, the contractual specifications and market conditions.     

Life insurance in a contingent claim framework: Pricing and regulatory implications

In this paper we develop a contingent claim model to evaluate the equity and liabilities of a life insurance company. The limited liability of shareholders is explicitly modelled. We focus on a specific type of life insurance policy—namely, the profit-sharing policy. In this policy, the policyholder is entitled to a guaranteed interest rate and a percentage of the company's yearly financial revenues. The implicit equilibrium interest rate and profit-sharing ratio are derived and analyzed. We finally discuss regulatory measures frequently encountered in the life insurance business such as rate ceilings, capital ratios, and asset restrictions.     

A structural framework for modelling contingent capital

This paper develops a structural model of contingent capital. In contrast to existing approaches we explicitly link the firm’s total payout to its cost of debt, leading to a total payout that is linear in—as opposed to proportional to—asset value. In the special case that asset value evolves as affine geometric Brownian motion we derive closed-form expressions for limiting (i.e. perpetual) bond values. The proposed model is flexible, so that it can be used to gauge the relative merits of different variations of contingent capital, and parsimonious, so that it is relatively easy to implement in practice. An empirical example using data from the Canadian banking sector is provided that illustrates how the model can generate insights into problems that are of interest to both regulators and issuers of contingent capital (e.g. what range of conversion prices would be consistent with regulatory guidelines, and how expensive is contingent debt over this range).     

A general framework for the derivation of asset price bounds: an application to stochastic volatility option models

We present a generalization of Cochrane and Saá-Requejo’s good-deal bounds which allows to include in a flexible way the implications of a given stochastic discount factor model. Furthermore, a useful application to stochastic volatility models of option pricing is provided where closed-form solutions for the bounds are obtained. A calibration exercise demonstrates that our benchmark good-deal pricing results in much tighter bounds. Finally, a discussion of methodological and economic issues is also provided.      

A general HJM framework for multiple yield curve modelling

We propose a general framework for modelling multiple yield curves which have emerged after the last financial crisis. In a general semimartingale setting, we provide an HJM approach to model the term structure of multiplicative spreads between FRA rates and simply compounded OIS risk-free forward rates. We derive an HJM drift and consistency condition ensuring absence of arbitrage and, in addition, we show how to construct models such that multiplicative spreads are greater than one and ordered with respect to the tenor’s length. When the driving semimartingale is an affine process, we obtain a flexible and tractable Markovian structure. Finally, we show that the proposed framework allows unifying and extending several recent approaches to multiple yield curve modelling.     

Valuation of general contingent claims: Existence,uniqueness, and comparisons of solutions

The Black-Scholes equation for the price u(x,t) of a call option for a single share of common stock with dividend policy d(x,t) is $\text{1}\text{2}\text{σ}{}^2\text{x}{}^2\text{u}{}_{\mathrm{xx}}\text{+(rx?d(x,t))u}{}_{\mathrm{x}}\text{?ru?u}{}_{\mathrm{t}}\text{=0, 0<x, 0<t<T}$, with boundary conditions u(x,0)=max(0,x?E), 0≤x, u(0,t)=0, 0≤t≤T.The coefficients are unbounded and the equation is not uniformly parabolic. We prove an existence (and recall a uniqueness) theorem for a class of equations with boundary conditions that includes the Black-Scholes equation. These may be used to show that an American option must, or will not, sell for the same price as a European option.     

Upfront versus rating contingent fees: Implications for rating quality

This paper theoretically investigates whether compensating a credit rating agency (CRA) with an upfront fee, rather than a rating contingent fee, can improve rating quality. I show that an upfront fee delivers the same rating quality as the rating contingent fee if the CRA sets its rating policy before the issuer solicits a rating, whereas it can potentially improve quality if the rating policy is set only after a rating is solicited. These results suggest that the “Franken Amendment” that has been removed from the Dodd-Frank Act might be crucial for the proposed upfront fee regime to improve rating quality.     

Sharing Demand Information in a Value Chain: Implications for Pricing and Profitability

While it is known that information exchange (IE) in a value chain improves resource coordination, scant attention has been paid to two issues. The first issue is the effect of relative bargaining strengths of the parties on whether and how IE will be implemented. The second issue is whether a resource-based costing system is adequate to motivate the implementation of information exchange. In this paper, we model a value chain consisting of a manufacturer and a retailer, where the retailer gets (private) demand information that has the potential of improving the manufacturers resource decisions. In this model, it is always beneficial for the value chain to implement IE. We show that in a monopsony or in a bilateral monopoly when the retailer has sufficient bargaining power, IE can be implemented if and only if the wholesale price compensates him for the loss of the information rent that he would get without IE. Using this model as the benchmark, we also examine other settings where the retailers have less bargaining power due to competition or size. In such settings, even though the retailers are better informed, the manufacturer can implement the IE regime costlessly and appropriate the information rent partially or fully. In effect, the manufacturer benefits both by improved resource coordination and by reduced payment for information rent. In all these settings, we find the retailer will not be motivated to adopt IE solely by a resource-based costing and pricing system.     

Activity-Based Pricing in a Monopoly

In this article, I study the interaction between cost accounting systems and pricing decisions in a setting where a monopolist sells a base product and related support services to customers whose preference for support services is known only to them. I consider two pricing mechanisms—activity‐based pricing (ABP) and traditional pricing—and two cost‐accounting systems—activity‐based costing (ABC) and traditional costing, for support services. Under traditional pricing, only the base product is priced, whereas support services are provided free because detailed cost‐driver volume information on the consumption of support services by each customer is unavailable. Under ABP, customers pay based on the quantities consumed of both the base product and the support services because detailed cost‐driver volume information is available for each customer. Likewise, under traditional costing for support services the firm makes pricing decisions on cost signals that are noisier than they are under ABC. I compare the equilibrium quantities of the base product and support services sold, the information rent paid to the customers, and the expected profits of the monopolist under all four combinations of cost‐driver volume and cost‐driver rate information. I show that ABP helps reduce control problems, such as moral hazard and adverse selection problems, for the supplier and increases the supplier's ability to engage in price discrimination. I show that firms are more likely to adopt ABP when their customer base is more diverse, their customer support costs are more uncertain, their costing system has lower measurement error, and the variable costs of providing customer support are higher. Firms adopt ABC when their cost‐driver rates for support services under traditional costing are noisier measures of actual costs relative to their cost‐driver rates under ABC and when the actual costs of support services are inherently uncertain. I also show that cost‐driver rate information and cost‐driver volume information for support services are complements. Although the prior literature views ABC and activity‐based management (ABM) as facilitating better decision making, I show that ABC and ABP (a form of ABM) are useful tools for addressing control problems in supply chains.     

Performance management: a framework for management control systems research

This paper proposes a framework for analysing the operation of management control systems structured around five central issues. These issues relate to objectives, strategies and plans for their attainment, target-setting, incentive and reward structures and information feedback loops. Their central focus is on the management of organizational performance. Because the framework has been inductively developed, its application is `tested' against three major systems of organizational control, namely budgeting, economic value added and the balanced scorecard. In each case, neglected areas of development are exposed and fruitful topics for research identified. It is believed that the framework can usefully be developed further by its use in analysing other instances of management control systems practice, and that case-based, longitudinal studies provide the best route to this end.     

Labor Mobility: Implications for Asset Pricing

Labor mobility is the flexibility of workers to walk away from an industry in response to better opportunities. I develop a model in which labor flows make bad times worse for shareholders who are left with capital that is less productive. The model shows that firms face greater operating leverage by providing flexibility to mobile workers. I construct an empirical measure of labor mobility consistent with the model and document an economically significant cross‐sectional relation between mobility, operating leverage, and stock returns. I find that firms in mobile industries earn returns over 5% higher than those in less mobile industries.     

Dual Class Stock in Russia: Explaining a Pricing Anomaly

This paper studies the determinants of the unusually high and volatile price differential between common (voting) shares and preferred (nonvoting) shares in Russia's emerging stock market. It focuses on three potential explanations for the price spread between these two classes of stock: the control contest model of the voting premium, the inferior liquidity of preferred shares, and the risk of expropriation of preferred shareholders as a class. The regression analysis, based on data from 1997 to 2005, supports the control contest explanation and the liquidity argument. The hypothesis of expropriation of preferred shareholders as a class receives limited support, and only in the early period of the Russian stock market's development. The paper addresses the issue of structural breaks in the evolution of the price differential, related to the 1998 financial crisis and to improvements in investor protection in Russia in the early 2000s. It also provides new estimates of the magnitude of the private benefits of control in Russian companies.     

Pricing Residential Amenities: The Value of a View

This study provides estimates of the value of the view amenity in single-family residential real estate markets. A focus on Bellingham, Washington, a city with a variety of views, including ocean, lake, and mountain, allows for differentiation of the view amenity by both type and quality. Results from a hedonic model estimated for several recent years suggest that depending on the particular view, willingness to pay for this amenity is quite high. The highest-quality ocean views are found to increase the market price of an otherwise comparable home by almost 60%; the lowest-quality ocean views are found to add about 8%. For ocean views of all quality levels, the value of a view is found to vary inversely with distance from the water.     

Transfer Pricing as a Strategic Device for Decentralized Multinationals

A multinational firm sets the price that applies tointra-firm trade between the firm's affiliates at a central level,but delegates decisions about national prices (or quantities)to national affiliates. When these affiliates encounter competitionit is shown that delegation of authority and the nature of competitionchanges the role of the transfer price; it now becomes both atax saving and a strategic device. Comparative static resultsdevelop transfer pricing policies for affiliates encounteringCournot as well as Bertrand competition.     

Pricing Asian options in a semimartingale model

In this paper we studyy arithmetic Asian options when the underlying stock is driven by special semimartingale processes. We show that the inherently path dependent problem of pricing Asian options can be transformed into a problem without path dependence in the payoff function. We also show that the price is driven by a process with independent increments, Levy processes being a special case. This approach applies for both discretely or continuously options.