A liquidity-augmented capital asset pricing model

Using a new measure of liquidity, this paper documents a significant liquidity premium robust to the CAPM and the Fama–French three-factor model and shows that liquidity is an important source of priced risk. A two-factor (market and liquidity) model well explains the cross-section of stock returns, describing the liquidity premium, subsuming documented anomalies associated with size, long-term contrarian investment, and fundamental (cashflow, earnings, and dividend) to price ratios. In particular, the two-factor model accounts for the book-to-market effect, which the Fama–French three-factor model fails to explain.     

A forward started jump-diffusion model and pricing of cliquet style exotics

In this paper we present an alternative model for pricing exotic options and structured products with forward-starting components. As presented in the recent study by Eberlein and Madan (Quantitative Finance 9(1):27–42, 2009), the pricing of such exotic products (which consist primarily of different variations of locally/globally, capped/floored, arithmetic/geometric etc. cliquets) depends critically on the modeling of the forward–return distributions. Therefore, in our approach, we directly take up the modeling of forward variances corresponding to the tenor structure of the product to be priced. We propose a two factor forward variance market model with jumps in returns and volatility. It allows the model user to directly control the behavior of future smiles and hence properly price forward smile risk of cliquet-style exotic products. The key idea, in order to achieve consistency between the dynamics of forward variance swaps and the underlying stock, is to adopt a forward starting model for the stock dynamics over each reset period of the tenor structure. We also present in detail the calibration steps for our proposed model.     

A sequential pricing framework for corporate securities: The case of rating-trigger step-up/-down bonds

We develop a sequential pricing framework in a continuous time cash flow model allowing for repeated valuation of different cash flow claims. One claim is valued until a prespecified boundary is hit, which is subsequently used as the new valuation starting point for the next claim. This highly flexible pricing framework is applied to the pricing of rating-trigger step-up/-down corporate bonds, the coupon payments of which depend on the issuing company’s credit rating. We present a simple closed-form pricing solution for this type of bonds including both a step-up and step-down threshold, as well as a lower default boundary.     

Dynamic capital structure with callable debt and debt renegotiations

We consider a dynamic trade-off model of a firm's capital structure with debt renegotiation. Debt holders only accept restructuring offers from equity holders backed by threats which are in the equity holders' own interest to execute. Our model shows that in a complete information model in which taxes and bankruptcy costs are the only frictions, violations of the absolute priority rule (APR) are typically optimal. The size of the bankruptcy costs and the equity holders' bargaining power affect the size of APR violations, but they have only a minor impact on the choice of capital structure.     

An empirical analysis of corporate debt maturity structure

This paper provides an empirical investigation of the maturity structure of corporate debt. A dynamic model is estimated by GMM estimation procedure using data for an unbalanced panel of 429 non-financial UK firms over the period of 1983–96. The evidence provides strong support for the hypotheses that firms with more growth opportunities in their investment sets tend to have more shorter-term debt and firm size exerts a negative impact on debt maturity structure. The results also support the maturity-matching hypothesis that firms match the maturity structure of their debt to the maturity of their assets. There is less support for the view that firms use their debt maturity structure to signal information to the market. We do not find evidence for a negative correlation between taxes and debt maturity. Our results also suggest that firms have long-term target ratios and they adjust to the target ratio relatively fast, which might indicate that the costs of being away from target ratios are significant for firms.     

Time-varying managerial overconfidence and corporate debt maturity structure

We examine the impact of managerial overconfidence on corporate debt maturity. We build upon the argument that managerial overconfidence is likely to mitigate the underinvestment problem, which is often the major concern for long-term debt investors. Within this context, we hypothesise that managerial overconfidence increases debt maturity. Our empirical evidence, based on time-varying measures of overconfidence derived from computational linguistic analysis and directors’ dealings in their own companies’ shares, supports this hypothesis. Specifically, we find that the changes in both first person singular pronouns and optimistic tone are positively related to the change in debt maturity. Moreover, we find that the insider trading-based overconfidence of CEO, who is most likely to influence investment decision and thus the underinvestment problem, has a stronger impact on debt maturity than the overconfidence of other directors (e.g. CFO). Overall, our study provides initial evidence for a positive overconfidence-debt maturity relation via overconfidence mitigating the agency cost of long-term debt.     

A comparison of models for pricing interest rate derivative securities

This paper looks at the different approaches and different models that have been developed to value interest rate-dependent securities, providing a survey of pricing procedures which are based on mathematical models of the term structure. It can be viewed as a reference for the different interest rate models with explicit representations, where they exist, for prices of derivative instruments and an an analysis of their respective advantages and disadvantages.     

Managerial ability,information quality,and the design and pricing of corporate debt

We examine if managerial ability affects the efficiency of the contracting environment with lenders. We find that higher ability alters the balance of information-sensitive covenants demanded by outside investors, increases the issuance of bonds with longer maturity, and decreases the issuance of senior secured debt. We also document higher ability reduces the risk premium demanded by investors on information-sensitive debt. These results are collectively consistent with the premise that the mitigation of information risk is an important dimension of managerial ability that has a direct bearing on the structure and pricing of corporate debt.     

Optimal capital structure under corporate and personal taxation

In this paper, a model of corporate leverage choice is formulated in which corporate and differential personal taxes exist and supply side adjustments by firms enter into the determination of equilibrium relative prices of debt and equity. The presence of corporate tax shield substitutes for debt such as accounting depreciation, depletion allowances, and investment tax credits is shown to imply a market equilibrium in which each firm has a unique interior optimum leverage decision (with or without leverage-related costs). The optimal leverage model yields a number of interesting predictions regarding cross-sectional and time-series properties of firms' capital structures. Extant evidence bearing on these predictions is examined.     

The optimal trading and pricing of securities with asymmetric capital gains taxes and transaction costs

This article explores the optimal trading and pricing of taxablesecurities with asymmetric capital gains taxes and transactioncosts. In the long-term region, investors realize all gainsbelow some critical cutoff level, which we derive analytically.In the short-term region, investors defer all gains and, dependingupon the time remaining in the short-term region, may also defersmall losses. Contrary to common intuition, deferral of short-termlosses can be optimal even without transaction costs. The valueof tax timing is considerably higher under the optimal tradingstrategy than under alternative strategies previously analyzed.The impact of offset rules is also explored.     

Option pricing in a lognormal securities market with discrete trading: A comment

In a recent paper Lee et al. derive a pricing formula which is significantly different from that of Black and Scholes. Their derivation is inconsistent due to their failure to recognize that the rate of return of an option written on an asset whose rate of return is lognormally distributed will not be lognormally distributed.     

Option pricing in a lognormal securities market with discrete trading

This paper derives a call option valuation equation assuming discrete trading in securities markets where the underlying asset and market returns are bivariate lognormally distributed and investors have increasing, concave utility functions exhibiting skewness preference. Since the valuation does not require the continouus time riskfree hedging of Black and Scholes, nor the discrete time riskfree hedging of Cox, Ross and Rubinstein, market effects are introduced into the option valuation relation. The new option valuation seems to correct for the systematic mispricing of well-in and well-out of the money options by the Black and Scholes option pricing formula.     

Capital gains tax and the capital asset pricing model

This paper develops a version of the Capital Asset Pricing Model that views dividend imputation as affecting company tax and assumes differential taxation of capital gains and ordinary income. These taxation issues aside, the model otherwise rests on the standard assumptions including full segmentation of national capital markets. It also treats dividend policy as exogenously determined. Estimates of the cost of equity based on this model are then compared with estimates based on the version of the CAPM typically applied in Australia, which differs only in assuming equality of the tax rates on capital gains and ordinary income. The differences between the estimates can be material. In particular, with a high dividend yield, allowance for differential taxation can result in an increase of two to three percentage points in the estimated cost of equity. The overall result obtained here carries over to a dividend equilibrium, in which firms choose a dividend policy that is optimal relative to the assumed tax structure.     

An intertemporal capital asset pricing model with heterogeneous expectations

This paper extends the intertemporal capital asset pricing model (ICAPM) to integrate the heterogeneous trading behavior of three groups of investors; rational utility maximizers, positive feedback, or momentum, traders, and fundamental traders. Using several contemporary fundamental factors to proxy for the latter of these investors’ trading patterns, the interaction of these three groups of investors is explored in the G-7 markets using monthly stock market prices. There is no evidence that positive feedback traders are present in the sample data. Fundamental traders are however observable. This finding suggests that although positive feedback traders may drive stock prices in the short-run, as is typically observed in higher frequency data, fundamental traders likely play a role in pushing prices back to their fundamental value in the longer-run.     

A computational study on general equilibrium pricing of derivative securities

This paper analyses the accuracy of replicating portfolio methods in predicting asset prices. In a two-period, general equilibrium model with incomplete financial markets and heterogeneous agents, a computational study is conducted under various distributional assumptions. The focus is on the price of a call option on an underlying risky asset. There is evidence that the value of the (approximate) replicating portfolio is a good approximation for the general equilibrium price for CRRA preferences, but not for CARA preferences. Furthermore, there is strong evidence that the introduction of the call option reduces market incompleteness, but that the price of the underlying asset is unchanged. There is, however, inconclusive evidence on the welfare effects of the option. The author thanks Dolf Talman, Andrew Somerville, an anonymous referee, and an Associate Editor for helpful comments. Research funding from the Irish Research Council for the Humanities and Social Sciences is gratefully acknowledged.     

Pricing securities with multiple risks: A case of exchangeable debt

Building on the work of Das and Sundaram (2007), we develop a widely applicable model to price securities subject to interest rate, equity, and default risks and use it to price exchangeable bonds. The extension features a trivariate recombining lattice instead of the original model’s bivariate recombining lattice. We also show how to estimate some critical non-observable inputs to implement the model by using current market data so that the model’s prices reflect current market information. We test the model on a sample of exchangeable bonds to determine the model’s empirical performance. Besides exchangeable bonds, we can also use the model to price securities such as reverse exchangeable bonds, bonds exchangeable to indexes, and bonds exchangeable to commodities.     

Options pricing under the one-dimensional jump-diffusion model using the radial basis function interpolation scheme

This paper will demonstrate how European and American option prices can be computed under the jump-diffusion model using the radial basis function (RBF) interpolation scheme. The RBF interpolation scheme is demonstrated by solving an option pricing formula, a one-dimensional partial integro-differential equation (PIDE). We select the cubic spline radial basis function and adopt a simple numerical algorithm (Briani et al. in Calcolo 44:33–57, 2007) to establish a finite computational range for the improper integral of the PIDE. This algorithm reduces the truncation error of approximating the improper integral. As a result, we are able to achieve a higher approximation accuracy of the integral with the application of any quadrature. Moreover, we a numerical technique termed cubic spline factorisation (Bos and Salkauskas in J Approx Theory 51:81–88, 1987) to solve the inversion of an ill-conditioned RBF interpolant, which is a well-known research problem in the RBF field. Finally, our numerical experiments show that in the European case, our RBF-interpolation solution is second-order accurate for spatial variables, while in the American case, it is second-order accurate for spatial variables and first-order accurate for time variables.     

Advantageous innovation and imitation in the underwriting market for corporate securities

Investment banks that develop new corporate securities systematically lead the new underwriting market despite being imitated early by equally competitive rivals. We study how innovators and imitators set underwriting fees in order to identify empirically the source of this advantage. Using data of innovative securities since 1985, we do find that innovators set systematically higher fees than imitators. This premium decreases as more issues occur, and faster for later generation products. Imitation is also quicker for later generations. This evidence supports the hypothesis that the innovator has superior skills in structuring any given issue of the new security.     

A model of dynamic compensation and capital structure

This paper studies the optimal compensation problem between shareholders and the agent in the Leland (1994) capital structure model, and finds that the debt-overhang effect on the endogenous managerial incentives lowers the optimal leverage. Consistent with data, our model delivers a negative relation between pay-performance sensitivity and firm size, and the interaction between debt-overhang and agency issue leads smaller firms to take less leverage relative to their larger peers. During financial distress, a firm's cash flow becomes more sensitive to underlying performance shocks due to debt-overhang. The implications on credit spreads and debt covenants are also considered.     

Credit supply and corporate capital structure: Evidence from Japan

In this paper we examine how financial constraints, especially fluctuations in the supply of credit, affect the capital structure of 1537 publicly listed Japanese firms from 1980 to 2007, in a data set with 33,000 observations. It is one of the first studies to do so and is inspired by the recent studies of Leary (2009) and Faulkender and Petersen (2006). Japan was selected due to the extreme credit supply fluctuations observed during the last 30 years. It thus offers an ideal natural experiment to test the impact of credit supply on corporate capital structure. In particular, in our panel data study we investigated the impact of the asset bubble in the 1980s and the credit crunch of the late 1990s on corporate capital structure decisions. The results of this paper show, among other findings, that financial policy decisions are indeed influenced by monetary conditions and the supply of credit. In particular, smaller sized firms face financial constraints, especially during economic downturns.