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Pricing
Kinds of Pricing Terms modified by Pricing Selected AbstractsDEALER PRICING OF CONSUMER CREDIT*INTERNATIONAL ECONOMIC REVIEW, Issue 4 2005Giuseppe Bertola Price discrimination incentives may induce dealers to bear the financial cost of their customers' credit purchases. We focus on how financial market imperfections make it possible to segment the customer population. When borrowing and lending rates differ from each other and from the rate of interest on a durable good purchase, the structure of those rates influences customers' choices to purchase on credit or cash terms, and the scope for dealers' price discrimination. Empirical analysis of a set of installment-credit, personal-loan, and regional interest rate data offers considerable support to the assumptions and implications of our theoretical framework. [source] AN EXACT FORMULA FOR DEFAULT SWAPTIONS' PRICING IN THE SSRJD STOCHASTIC INTENSITY MODELMATHEMATICAL FINANCE, Issue 3 2010Damiano Brigo We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of a shifted square root jump diffusion (SSRJD) default intensity model. The model can be calibrated to the CDS term structure and a few default swaptions, to price and hedge other credit derivatives consistently. We show with numerical experiments that the model implies plausible volatility smiles. [source] PRICING AND HEDGING AMERICAN OPTIONS ANALYTICALLY: A PERTURBATION METHODMATHEMATICAL FINANCE, Issue 1 2010Jin E. Zhang This paper studies the critical stock price of American options with continuous dividend yield. We solve the integral equation and derive a new analytical formula in a series form for the critical stock price. American options can be priced and hedged analytically with the help of our critical-stock-price formula. Numerical tests show that our formula gives very accurate prices. With the error well controlled, our formula is now ready for traders to use in pricing and hedging the S&P 100 index options and for the Chicago Board Options Exchange to use in computing the VXO volatility index. [source] RISK INDIFFERENCE PRICING IN JUMP DIFFUSION MARKETSMATHEMATICAL FINANCE, Issue 4 2009Bernt Øksendal We study the risk indifference pricing principle in incomplete markets: The (seller's),risk indifference price,,is the initial payment that makes the,risk,involved for the seller of a contract equal to the risk involved if the contract is not sold, with no initial payment. We use stochastic control theory and PDE methods to find a formula for,,and similarly for,. In particular, we prove that ,where,plow,and,pup,are the lower and upper hedging prices, respectively. [source] ASSET PRICING WITH NO EXOGENOUS PROBABILITY MEASUREMATHEMATICAL FINANCE, Issue 1 2008Gianluca Cassese In this paper, we propose a model of financial markets in which agents have limited ability to trade and no probability is given from the outset. In the absence of arbitrage opportunities, assets are priced according to a probability measure that lacks countable additivity. Despite finite additivity, we obtain an explicit representation of the expected value with respect to the pricing measure, based on some new results on finitely additive measures. From this representation we derive an exact decomposition of the risk premium as the sum of the correlation of returns with the market price of risk and an additional term, the purely finitely additive premium, related to the jumps of the return process. We also discuss the implications of the absence of free lunches. [source] SELF-DECOMPOSABILITY AND OPTION PRICINGMATHEMATICAL FINANCE, Issue 1 2007Peter Carr The risk-neutral process is modeled by a four parameter self-similar process of independent increments with a self-decomposable law for its unit time distribution. Six different processes in this general class are theoretically formulated and empirically investigated. We show that all six models are capable of adequately synthesizing European option prices across the spectrum of strikes and maturities at a point of time. Considerations of parameter stability over time suggest a preference for two of these models. Currently, there are several option pricing models with 6,10 free parameters that deliver a comparable level of performance in synthesizing option prices. The dimension reduction attained here should prove useful in studying the variation over time of option prices. [source] MODEL UNCERTAINTY AND ITS IMPACT ON THE PRICING OF DERIVATIVE INSTRUMENTSMATHEMATICAL FINANCE, Issue 3 2006Rama Cont Uncertainty on the choice of an option pricing model can lead to "model risk" in the valuation of portfolios of options. After discussing some properties which a quantitative measure of model uncertainty should verify in order to be useful and relevant in the context of risk management of derivative instruments, we introduce a quantitative framework for measuring model uncertainty in the context of derivative pricing. Two methods are proposed: the first method is based on a coherent risk measure compatible with market prices of derivatives, while the second method is based on a convex risk measure. Our measures of model risk lead to a premium for model uncertainty which is comparable to other risk measures and compatible with observations of market prices of a set of benchmark derivatives. Finally, we discuss some implications for the management of "model risk." [source] APPROXIMATING GARCH-JUMP MODELS, JUMP-DIFFUSION PROCESSES, AND OPTION PRICINGMATHEMATICAL FINANCE, Issue 1 2006Jin-Chuan Duan This paper considers the pricing of options when there are jumps in the pricing kernel and correlated jumps in asset prices and volatilities. We extend theory developed by Nelson (1990) and Duan (1997) by considering the limiting models for our approximating GARCH Jump process. Limiting cases of our processes consist of models where both asset price and local volatility follow jump diffusion processes with correlated jump sizes. Convergence of a few GARCH models to their continuous time limits is evaluated and the benefits of the models explored. [source] STOCHASTIC HYPERBOLIC DYNAMICS FOR INFINITE-DIMENSIONAL FORWARD RATES AND OPTION PRICINGMATHEMATICAL FINANCE, Issue 1 2005Shin Ichi Aihara We model the term-structure modeling of interest rates by considering the forward rate as the solution of a stochastic hyperbolic partial differential equation. First, we study the arbitrage-free model of the term structure and explore the completeness of the market. We then derive results for the pricing of general contingent claims. Finally we obtain an explicit formula for a forward rate cap in the Gaussian framework from the general results. [source] LIQUIDITY AND ASSET PRICING UNDER THE THREE-MOMENT CAPM PARADIGMTHE JOURNAL OF FINANCIAL RESEARCH, Issue 3 2007Duong Nguyen Abstract We examine whether the use of the three-moment capital asset pricing model can account for liquidity risk. We also make a comparative analysis of a four-factor model based on Fama,French and Pástor,Stambaugh factors versus a model based solely on stock characteristics. Our findings suggest that neither of the models captures the liquidity premium nor do stock characteristics serve as proxies for liquidity. We also find that sensitivities of stock return to fluctuations in market liquidity do not subsume the effect of characteristic liquidity. Furthermore, our empirical findings are robust to differences in market microstructure or trading protocols between NYSE/AMEX and NASDAQ. [source] WARRANT PRICING USING OBSERVABLE VARIABLESTHE JOURNAL OF FINANCIAL RESEARCH, Issue 3 2004Andrey D. Ukhov Abstract The classical warrant pricing formula requires knowledge of the firm value and of the firm-value process variance. When warrants are outstanding, the firm value itself is a function of the warrant price. Firm value and firm-value variance are then unobservable variables. I develop an algorithm for pricing warrants using stock prices, an observable variable, and stock return variance. The method also enables estimation of firm-value variance. A proof of existence of the solution is provided. [source] POST-CARTEL PRICING DURING LITIGATIONTHE JOURNAL OF INDUSTRIAL ECONOMICS, Issue 4 2004Joseph E. Harrington Jr. Standard methods in the U.S. for calculating antitrust damages in price-fixing cases are shown to create a strategic incentive for firms to price above the non-collusive price after the cartel has been dissolved. This results in an overestimate of the but for price and an underestimate of the level of damages. The extent of this upward bias in the but for price is greater, the longer the cartel was in place and the more concentrated the industry. [source] WHOLESALE PRICING WHEN BUYERS ARE ASYMMETRIC COURNOT COMPETITORS,THE MANCHESTER SCHOOL, Issue 2 2006GIUSEPPE COLANGELO This paper focuses on the pricing policy of a well-informed profit- maximizing producer selling to asymmetric retailers who compete à la Cournot. An optimal upstream two-part tariff implies the exit of the inefficient retailer, thus causing downstream monopolization. When this would bring about a significant increase in the efficient retailer's bargaining power, as is plausible, the producer will try to avoid this and consequently choose a pricing scheme that does not cause downstream monopolization. When this is the case, two alternatives emerge: a two-part tariff (ensuring no downstream monopolization) or third-degree price discrimination. The more asymmetric in cost retailers are (consistent with no downstream monopolization), the more likely it is to see third-degree price discrimination as the equilibrium wholesale pricing. When third-degree price discrimination is implemented, a welfare loss is easily produced. [source] Audit Pricing, Legal Liability Regimes, and Big 4 Premiums: Theory and Cross-country Evidence,CONTEMPORARY ACCOUNTING RESEARCH, Issue 1 2008Jong-Hag Choi First page of article [source] Production Efficiency and the Pricing of Audit Services,CONTEMPORARY ACCOUNTING RESEARCH, Issue 1 2003Nicholas Dopuch Abstract In this paper, we examine the relative efficiency of audit production by one of the then Big 6 public accounting firms for a sample of 247 geographically dispersed audits of U.S. companies performed in 1989. To test the relative efficiency of audit production, we use both stochastic frontier estimation (SFE) and data envelopment analysis (DEA). A feature of our research is that we also test whether any apparent inefficiencies in production, identified using SFE and DEA, are correlated with audit pricing. That is, do apparent inefficiencies cause the public accounting firm to reduce its unit price (billing rate) per hour of labor utilized on an engagement? With respect to results, we do not find any evidence of relative (within-sample) inefficiencies in the use of partner, manager, senior, or staff labor hours using SFE. This suggests that the SFE model may not be sufficiently powerful to detect inefficiencies, even with our reasonably large sample size. However, we do find apparent inefficiencies using the DEA model. Audits range from about 74 percent to 100 percent relative efficiency in production, while the average audit is produced at about an 88 percent efficiency level, relative to the most efficient audits in the sample. Moreover, the inefficiencies identified using DEA are correlated with the firm's realization rate. That is, average billing rates per hour fall as the amount of inefficiency increases. Our results suggest that there are moderate inefficiencies in the production of many of the subject public accounting firm's audits, and that such inefficiencies are economically costly to the firm. [source] Brand Name Audit Pricing, Industry Specialization, and Leadership Premiums post-Big 8 and Big 6 Mergers,CONTEMPORARY ACCOUNTING RESEARCH, Issue 1 2002Andrew Ferguson Abstract This paper investigates brand name, industry specialization, and leadership audit pricing in the wake of the mergers that created the Big 6 and the Big 5 accounting firms. For samples of Australian listed public companies in each of the postmerger years 1990, 1992, 1994, and 1998, we estimate national audit fee premiums for the Big 6/5 auditors and the industry specialists and leaders. We find limited support for the ability of the Big 6/5 to obtain fee premiums over non-Big 6/5 for those industries not having specialist auditors. Nonspecialist Big 6/5 auditors are able to obtain fee premiums over nonspecialist non-Big 6/5 auditors for those industries having specialist auditors. However, this result only holds among the smaller half of our sample. We do not find strong support for the presence of industry specialist premiums in the postmerger years, especially after 1990, using various definitions of industry specialist. We find, at best, limited support for the presence of industry leadership premiums. The evidence suggests that after the Big 8/6 audit firm mergers, some caution is required in generalizing the Craswell, Francis, and Taylor 1995 finding of national market industry specialist premiums. More generally, the study raises questions about the tenuous link between the concept of specialization and national market-share statistics. [source] A Parsimonious Macroeconomic Model for Asset PricingECONOMETRICA, Issue 6 2009Fatih Guvenen I study asset prices in a two-agent macroeconomic model with two key features: limited stock market participation and heterogeneity in the elasticity of intertemporal substitution in consumption (EIS). The model is consistent with some prominent features of asset prices, such as a high equity premium, relatively smooth interest rates, procyclical stock prices, and countercyclical variation in the equity premium, its volatility, and in the Sharpe ratio. In this model, the risk-free asset market plays a central role by allowing non-stockholders (with low EIS) to smooth the fluctuations in their labor income. This process concentrates non-stockholders' labor income risk among a small group of stockholders, who then demand a high premium for bearing the aggregate equity risk. Furthermore, this mechanism is consistent with the very small share of aggregate wealth held by non-stockholders in the U.S. data, which has proved problematic for previous models with limited participation. I show that this large wealth inequality is also important for the model's ability to generate a countercyclical equity premium. When it comes to business cycle performance, the model's progress has been more limited: consumption is still too volatile compared to the data, whereas investment is still too smooth. These are important areas for potential improvement in this framework. [source] Transform Analysis and Asset Pricing for Affine Jump-diffusionsECONOMETRICA, Issue 6 2000Darrell Duffie In the setting of ,affine' jump-diffusion state processes, this paper provides an analytical treatment of a class of transforms, including various Laplace and Fourier transforms as special cases, that allow an analytical treatment of a range of valuation and econometric problems. Example applications include fixed-income pricing models, with a role for intensity-based models of default, as well as a wide range of option-pricing applications. An illustrative example examines the implications of stochastic volatility and jumps for option valuation. This example highlights the impact on option ,smirks' of the joint distribution of jumps in volatility and jumps in the underlying asset price, through both jump amplitude as well as jump timing. [source] Efficiency, Equilibrium, and Asset Pricing with Risk of DefaultECONOMETRICA, Issue 4 2000Fernando Alvarez We introduce a new equilibrium concept and study its efficiency and asset pricing implications for the environment analyzed by Kehoe and Levine (1993) and Kocherlakota (1996). Our equilibrium concept has complete markets and endogenous solvency constraints. These solvency constraints prevent default at the cost of reducing risk sharing. We show versions of the welfare theorems. We characterize the preferences and endowments that lead to equilibria with incomplete risk sharing. We compare the resulting pricing kernel with the one for economies without participation constraints: interest rates are lower and risk premia depend on the covariance of the idiosyncratic and aggregate shocks. Additionally, we show that asset prices depend only on the valuation of agents with substantial idiosyncratic risk. [source] Efficiency Pricing, Tenancy Rent Control and Monopolistic LandlordsECONOMICA, Issue 278 2003Kaushik Basu This paper presents a model of ,tenancy rent control' where rent increases on, and evictions of, sitting tenants are prohibited but nominal rents for new tenants are unrestricted. If there is any inflation, landlords prefer to take short-staying tenants. If there is no way for landlords to tell a tenant's type, an adverse selection problem arises. If landlords have monoply power, then they may prefer not to raise the rent even when there is excess demand for housing. These ,efficiency rents' show that tenancy rent control can give rise to equilibria that look as if there were a flat ceiling on rents. [source] Conditional Asset Pricing and Stock Market Anomalies in EuropeEUROPEAN FINANCIAL MANAGEMENT, Issue 2 2010Rob Bauer G12; G14 Abstract This study provides European evidence on the ability of static and dynamic specifications of the Fama-French (1993) three-factor model to price 25 size-B/M portfolios. In contrast to US evidence, we detect a small-growth premium and find that the size effect is still present in Europe. Furthermore, we document strong time variation in factor risk loadings. Incorporating these risk fluctuations in conditional specifications of the three-factor model clearly improves its ability to explain time variation in expected returns. However, the model still fails to completely capture cross-sectional variation in returns as it is unable to explain the momentum effect. [source] Smiles, Bid-ask Spreads and Option PricingEUROPEAN FINANCIAL MANAGEMENT, Issue 3 2001Ignacio Peña Given the evidence provided by Longstaff (1995), and Peña, Rubio and Serna (1999) a serious candidate to explain the pronounced pattern of volatility estimates across exercise prices might be related to liquidity costs. Using all calls and puts transacted between 16:00 and 16:45 on the Spanish IBEX-35 index futures from January 1994 to October 1998 we extend previous papers to study the influence of liquidity costs, as proxied by the relative bid-ask spread, on the pricing of options. Surprisingly, alternative parametric option pricing models incorporating the bid-ask spread seem to perform poorly relative to Black-Scholes. [source] Efficiency in the Pricing of the FTSE 100 Futures ContractEUROPEAN FINANCIAL MANAGEMENT, Issue 1 2001Joëlle Miffre This paper studies the pricing efficiency in the FTSE 100 futures contract by linking the predictable movements in futures returns to the time-varying risk and risk premia associated with prespecified factors. The results indicate that the predictability of the FTSE 100 futures returns is consistent with a conditional multifactor model with time-varying moments. The dynamics of the factor risk premia, combined with the variation in the betas, capture most of the predictable variance of returns, leaving little variation to be explained in terms of market inefficiency. Hence the predictive power of the instruments does not justify a rejection of market efficiency. [source] A Comparison of Syndicated Loan Pricing at Investment and Commercial BanksFINANCIAL MANAGEMENT, Issue 4 2006Maretno Harjoto We reject the hypothesis that investment and commercial banks have identical loan-pricing policies. We find that compared to commercial banks, investment banks lend to less profitable, more lever aged firms, price riskier classes of term loans more generously, and offer relatively longer-term credits, usually with term, not commitment contracts. Investment banks typically establish higher credit spreads, although the premium declines when a commercial bank joins as syndicate co-arranger. Investment banks also price riskier classes of term loans more generously to borrowers than do commercial banks. Commercial-bank funding advantages do not appear to be a source of the pricing differences. [source] Rational Pricing of Internet Companies RevisitedFINANCIAL REVIEW, Issue 4 2001Eduardo S. Schwartz G12 Abstract In this article we expand and improve the Internet company valuation model of Schwartz and Moon (2000) in numerous ways. By using techniques from real options theory and modern capital budgeting, the earlier paper demonstrated that uncertainty about key variables plays a major role in the valuation of high growth Internet companies. Presently, we make the model more realistic by providing for stochastic costs and future financing, and also by including capital expenditures and depreciation in the analysis. Perhaps more importantly, we offer insights into the practical implementation the model. An important challenge to implementing the original model was estimating the various parameters of the model. Here, we improve the procedure by setting the speed of adjustment parameters equal to one another, by tying the implied half-life of the revenue growth process to analyst forecasts, and by inferring the risk-adjustment parameter from the observed beta of the company's stock price. We illustrate these extensions in a valuation of the company eBay. [source] Competitive Pricing in Markets with Different Overhead Costs: Concealment or Leakage of Cost Information?JOURNAL OF ACCOUNTING RESEARCH, Issue 4 2008EDDY CARDINAELS ABSTRACT This paper experimentally investigates how leaders and followers in a duopoly set prices for two product markets that have different overhead costs. In a fully crossed two-by-two design, we manipulate the participants' private cost report quality as either low or high, representing the extent to which these reports reveal that product markets have different overhead costs. We show that when only the leader is given a high-quality cost report, private cost information of higher quality is better incorporated into market prices (that are observable to participants). Both the leader and follower improve in profits and their prices better reflect the differences in overhead costs because the follower infers information from the leader's prices (information leakage). In contrast, when only the follower receives a high-quality cost report, the leader's profits and prices do not improve. This occurs because the follower conceals cost information when the leader has a low-quality cost report. [source] The Persistence and Pricing of the Cash Component of EarningsJOURNAL OF ACCOUNTING RESEARCH, Issue 3 2008PATRICIA M. DECHOW ABSTRACT Prior research shows that the cash component of earnings is more persistent than the accrual component. We decompose the cash component into: (1) the change in the cash balance, (2) issuances/distributions to debt, and (3) issuances/distributions to equity. We find that the higher persistence of the cash component is entirely due to the subcomponent related to equity. The other subcomponents have persistence levels almost identical to accruals. We investigate whether investors understand the implications of the differential persistence of the three subcomponents. Our results suggest that investors correctly price debt and equity issuances/distributions but misprice the change in the cash balance in a similar manner to accruals. Our tests enable us to empirically distinguish the "accrual" and "external financing" anomalies with results implying that the accrual anomaly subsumes the external financing anomaly. Our results also suggest that naive fixation on earnings is unlikely to be a complete explanation for the accrual anomaly. Our findings are more consistent with investors misunderstanding diminishing returns to new investments. [source] Does Greater Firm-Specific Return Variation Mean More or Less Informed Stock Pricing?JOURNAL OF ACCOUNTING RESEARCH, Issue 5 2003Artyom Durnev ABSTRACT Roll [1988] observes low R2 statistics for common asset pricing models due to vigorous firm-specific return variation not associated with public information. He concludes that this implies "either private information or else occasional frenzy unrelated to concrete information"[p. 56]. We show that firms and industries with lower market model R2 statistics exhibit higher association between current returns and future earnings, indicating more information about future earnings in current stock returns. This supports Roll's first interpretation: higher firm-specific return variation as a fraction of total variation signals more information-laden stock prices and, therefore, more efficient stock markets. [source] Pricing of Forward and Futures ContractsJOURNAL OF ECONOMIC SURVEYS, Issue 2 2000Ying-Foon Chow There has long been substantial interest in understanding the relative pricing of forward and futures contracts. This has led to the development of two standard theories of forward and futures pricing, namely, the Cost-of-Carry and the Risk Premium (or Unbiased Expectations) hypotheses. These studies have modelled the relationship between spot and forward/futures prices either through a no-arbitrage condition or a general equilibrium setting. Relatively few studies in this area have considered the impact of stochastic trends in the data. With the emergence of non-stationarity and cointegration in recent years, more sophisticated models of futures/forward prices have been specified. This paper surveys the significant contributions made to the literature on the pricing of forward/futures contracts, and examines recent empirical studies pertaining to the estimation and testing of univariate and systems models of futures pricing. [source] Input Suppliers, Differential Pricing, and Information Sharing AgreementsJOURNAL OF ECONOMICS & MANAGEMENT STRATEGY, Issue 4 2008Anthony Creane It is common for firms to systematically share information with their input suppliers. Although such agreements with horizontal rivals have been analyzed, there has been little work examining vertical sharing, and that analysis has focused on suppliers that set uniform prices. However, there has been a systematic change in the US policy toward vertical relationships in the past decades: both FTC inaction and courts rulings have curtailed the effect of Robinson-Patman, a law meant to prevent differential pricing. Furthermore, it is not clear if differential pricing reflects the suppliers' or the buyers' power. The interaction of these effects is examined. [source] | |||||||||||||||||||||||||||||||||||||||||||||||||