bond indenture provisions and the risk of corporate debt abstract this paper examines the effect of alternative bond indenture provisions on the allocation of risk among the firm s claimants the approach taken here differs from that of earlier studies in that risk allocation is examined while the firm s leverage in market value terms is held constant in this context four indenture provisions are examined 1 the time to maturity 2 the promised payment schedule 3 financing restrictions and 4 priority rules it is concluded that risk is transferred from stockholders to bondholders as the time to maturity and promised payment increase appropriately furthermore substitution of longer term debt for an equal amount of shorter term debt also increases the risk to bondholders while decreasing the risk to stockholders the analysis shows that a coupon bond can be represented by a unique discount bond with the same risk and value this permits the characterization of the effective maturity of a risky debt issue a concept analogous to the stochastic duration of a default free coupon bond these results are shown to be independent of the means used to finance the debt issue finally it is concluded that the relative risk associated with different bonds issued by the same firm cannot be determined by the structure of priority rules alone it is also necessary to consider the timing of the promised payments compared to that of the other debt issues in the firm s capital structure

default correlation an empirical investigation of a subprime lender in recent years subprime lending has grown substantially as an important sector of the credit markets this paper is concerned with the risk management of subprime loan portfolios and the importance of default correlation in measuring that risk using a large portfolio of residential subprime loans from an anonymous subprime lender we show that default correlation is substantial for this lender in particular the significance of default correlation increases as the internal credit rating declines our results suggest that lenders and regulators would be well served investing in the understanding of default correlation in subprime portfolios

swap rates and credit quality this article presents a model for valuing claims subject to default by both contracting parties such as swaps and forwards with counterparties of different default risk the promised cash flows of a swap are discounted by a switching discount rate that at any given state and time is equal to the discount rate of the counterparty for whom the swap is currently out of the money that is a liability the impact of credit risk asymmetry and of netting is presented through both theory and numerical examples which include interest rate and currency swaps this article presents a model for valuing claims subject to default by both contracting parties such as swaps and forwards this extends the valuation model for defaultable claims proposed by duffie and singleton 1994 to cases in which the two counterparties have asymmetric default risk the extension permits a reexamination of the impact of credit risk on swap rates while the valuation model applies to all forms of contingent claims in which both contracting parties are at risk to default such as forward contracts we focus on swaps for purposes of illustration for example consider a 5 year interest rate swap between a given party paying a floating rate such as the london inter bank offered rate libor and another counterparty paying a fixed rate replacing the given fixed rate counterparty with a lower quality counterparty whose bond yields are 100 basis points higher increases the swap rate by roughly 1 basis point using our model and typical parameters for libor rate processes this credit impact on swap rates is approximately linear within the range of normally encountered credit quality for a 5 year currency swap given a foreign exchange rate with 15 percent volatility our model shows the impact of credit risk asymmetry on the market swap rate to be roughly 10 fold greater than that for interest rate swaps that is approximately 10 basis points in swap rate per 100 basis points in bond yield credit spread the main goal of this article is to provide a simple and theoretically consistent model allowing such computations

inventory and sales effort management under unobservable lost sales a retailer needs to make decisions regarding how much to order and how much sales effort to exert in an environment with uncertain demand one intrinsic complexity in a typical retail environment is caused by the fact that the retailer can obtain information about demand only based on sales as demand itself is unobservable taking a bayesian approach lariviere and porteus 1999 show that in such a setting a retailer should stock more to increase the probability of an exact demand observation in this article we extend their work by allowing the retailer to control both the stocking quantity and sales effort which can be used to affect demand we show that their insights with respect to information stalking carry over to this setting in addition our model allows gaining a better understanding of optimal sales effort strategies we find that demand management has a dual role in supporting information gathering while at the beginning of a product life cycle it is optimal to support learning effects by sharply reducing sales effort at later stages of the product life cycle an aggressive strategy of increased promotional activities can be used to harvest the information gathered in earlier periods

the mispricing of u s treasury bonds a case study this article documents an apparent pricing anomaly involving 94 percent 30 year treasury bonds during the months of may and june 1986 during this period the price of the 94s rose sharply relative to the prices of other long term treasury bonds and created a potential arbitrage opportunity in addition owners of the 94 bonds were able to borrow at a zero interest rate bypledging their bonds detailed examination reveals that this relative pricing anomaly cannot be attributed to changes in the level or term structure of interest rates or to differences between the bonds with respect to liquidity taxation or duration

pricing default swaps empirical evidence in this paper we compare market prices of credit default swaps with model prices we show that a simple reduced form model outperforms directly comparing bonds credit spreads to default swap premiums we find that the model yields unbiased premium estimates for default swaps on investment grade issuers but only if we use swap or repo rates as proxy for default free interest rates this indicates that the government curve is no longer seen as the reference default free curve we also show that the model is relatively insensitive to the value of the assumed recovery rate

on the theory of political competition comparative statics from a general allocative perspective it is a widely held belief that interest groups respond competitively to political challenges from other groups this view is found not only in the traditional theory of interest groups but also in the literature on policy typologies though it is not necessarily supposed that groups form in response to opposition it is believed that when groups exist they compete

the valuation of floating rate instruments abstract a framework for valuing floating rate notes is developed to examine the effects of 1 lags in the coupon formula 2 special contractual features and 3 default risk evidence from a sample of floaters indicates they sold at significant discounts while lags in the coupon formulas and other contractual features make these notes more variable they do not account for the magnitude of the discounts we conclude that the fixed default premium in the coupon formula of a typical note is inadequate to compensate for time varying default premiums demanded by investors who treat other corporate short term paper as close substitutes

pricing and the news vendor problem a review with extensions in the newsvendor problem a decision maker facing random demand for a perishable product decides how much of it to stock for a single selling period this simple problem with its intuitively appealing solution is a crucial building block of stochastic inventory theory which comprises a vast literature focusing on operational efficiency typically in this literature market parameters such as demand and selling price are exogenous however incorporating these factors into the mode l can provide an excellent vehicle for examining how operational problems interact with marketing issues to influence decision making at the firm level in this paper we examine an extension of the newsvendor problem in which stocking quantity and selling price are set simultaneously we provide a comprehensive review that synthesizes existing results for the single period problem and develop additional results to enrich the existing knowledge base we also review and develop insight into a dynamic inventory extension of this problem and motivate the applicability of such models

jump risks and the intertemporal capital asset pricing model the specification of the stochastic process for stock prices is an important assumption underlying most equilibrium and option pricing models in modern finance this is particularly true of the continuous time capital asset pricing models where it is assumed that asset prices follow diffusion processes with continuous sample paths see merton 1973a breeden 1979 grossman and shiller 1982 the extent to which the implications of these models generalize to discontinuous sample paths is an unanswered question in theoretical finance however the answer to this question is of more than just theoretical interest since accumulated empirical evidence appears to be inconsistent with the continuous sample path assumption see rosenberg 1972 oldfield rogalski and jarrow 1977 rosenfeld 1982 one purpose of this paper is to provide some answers to this question we do this by extending merton s 1973a intertemporal asset pricing model in the special case of a constant investment opportunity set to include discontinuous sample paths for asset prices the constant investment opportunity set assumption is imposed because we are interested in obtaining sufficient conditions under which an instantaneous capital asset pricing model capm results the extension of our model to a stochastic opportunity set is discussed briefly in the text this paper investigates an economy where stock prices follow a jump diffusion process the first part of the analysis derives a sufficient condition under which an instantaneous capm will characterize equilibrium expected returns the sufficient condition is that the jump component of a stock s return must be unsystematic and diversifiable in the market portfolio the second part of the paper is an empirical investigation of the satisfaction of this condition the evidence is seen to be inconsistent with the satisfaction of this hypothesis that is the market portfolio appears to contain a jump component

bond pricing and the term structure of interest rates a new methodology for contingent claims valuation this paper presents a unifying theory for valuing contingent claims under a stochastic term structure of interest rates the methodology based on the equivalent martingale measure technique takes as given an initial forward rate curve and a family of potential stochastic processee for its subsequent movements a no arbitrage condition restricts this family of processes yielding valuation formulae for interest rate sensitive contingent claims which do not explicitly depend on the market prices of risk examples are provided to illustrate the key results in relation to the term structure of interest rates arbitrage pricing theory has two purposes the first is to price all zero coupon default free bonds of varying maturities from a finite number of economic fundamentals called state variables the second is to price all interest rate sensitive contingent claims taking as given the prices of the zero coupon bonds this paper presents a general theory and a unifying framework for understanding arbitrage pricing theory in this context of which all existing arbitrage pricing models are special cases in particular vasicek 1977 brennan and schwartz 1979 langetieg 1980 ball and torous 1983 ho and lee 1986 schaefer and schwartz 1987 and artzner and delbaen 1988 the primary contribution of this paper however is a new methodology for solving the second problem i e the pricing of interest rate sensitive contingent claims given the prices of all zero coupon bonds the methodology is new because i it imposes its stochastic structure directly on the evolution of the forward rate curve ii it does not require an inversion of the term structure to eliminate the market prices of risk from contingent claim values and iii it has a stochastic spot rate process with multiple stochastic factors influencing the term structure the model can be used to consistently price and hedge all contingent claims american or european on the term structure and it is derived from necessary and more importantly sufficient conditions for the absence of arbitrage the arbitrage pricing models of vasicek 1977 brennan and schwartz 1979 langetieg 1980 and artzner and delbaen 1988 all require an iformerly titled bond pricing and the term structure of interest rates a new methodology

typology for flight to quality episodes and downside risk measurement abstractwe propose a total return based framework to measure downside risk associated with phenomenon of capital outflows from riskier to safer financial markets the proposed method consists of three elements i the general definition of the flight to quality ftq phenomenon ii the typological classification of the flight to quality occurrences for associating them with the phases of the business cycle and iii the automated technique to diagnose the time frames and to measure the impact of flight to quality on financial instruments the proposed framework is applied to analyse the global scale capital inflows outflows from emerging markets public debt to the us treasuries and vice versa the results show that different phases of business cycles and gdp growth rates including turning points could be associated with flights to quality of different types and causality origins addressing downside risk crystallizations in flight to quality occurrences new perspectives of integrated interest rate r

reputation and imperfect information abstract a common observation in the informal literature of economics and elsewhere is that is multistage games players may seek early in the game to acquire a reputation for being tough or benevolent or something else but this phenomenon is not observed in some formal game theoretic analyses of finite games such as selten s finitely repeated chain store game or in the finitely repeated prisoners dilemma we reexamine selten s model adding to it a small amount of imperfect or incomplete information about players payoffs and we find that this addition is sufficient to give rise to the reputation effect that one intuitively expects

the default risk of swaps we characterize the exchange of financial claims from risky swaps these transfers are among three groups shareholders debtholders and the swap counterparty from this analysis we derive equilibrium swap rates and relate them to debt market spreads we then show that equilibrium swaps in perfect markets transfer wealth from shareholders to debtholders in a simplified case we obtain closed form solutions for the value of the default risk in the swap for interest rate swaps we obtain numerical solutions for the equilibrium swap rate including default risk we compare these with equilibrium debt market default risk spreads swaps have been one of the most explosive and important innovations in international capital markets in the last 10 years in its simplest form a swap consists of an agreement hetween two entities called counterparties to exchange in the future two streams of cash flows in a currency swap these streams of cash flows consist of a stream of interest and principal payments in one cvtrrency exchanged for a stream of interest and principal payments of the same maturity in another currency in an interest rate swap they consist of streams of interest payments of one type fixed or floating exchanged for streams of interest payments of the other type in the same currency the two types of swap are shown in appendix 1 the economic importance of swap transactions is the fact that they can he comhined with deht issues to change the nature of the liahility for the borrower the sum of a hond issue and a currency swap gives a net liability stream which is equivalent to transforming the bond liability into a different currency a floating rate note combined with an interest rate swap results in a liability equivalent to fixed rate debt two issues have dominated the academic literature on swaps the first concerns the reasons for their use arbitrage of imperfections in capital markets was the original cause of their appearance price and henderson 1984 turnbull 1987 shows that lowering borrowing costs by a synthetic transaction involving a swap is not possible in a complete integrated capital market subsequent authors wall and pringle 1988 arak estrella groodman and silver 1988 smith smithson and wakeman 1987 observe

market manipulation price bubbles and a model of the u s treasury securities auction market this paper models the u s treasury securities auction market and demonstrates that mar ket manipulation can occur in a rational equilibrium it is a dynamic model with traders participating in a when issued market a treasury auction and a resale market manipu lations occur when dealers in the when issued market use their knowledge of the net order flow in order to corner the auction and squeeze the shorts from the when issued market this manipulation equilibrium generates bubbles in treasury security prices and specials in repo rates we also compare discriminatory and uniform price auction rules with respect to manipulation our analysis shows that manipulations can occur in long run equilibrium under discriminatory price auctions but not under uniform price auctions

coordinating channels under price and nonprice competition this paper analyzes how manufacturers should coordinate distribution channels when retailers compete in price as well as important nonprice factors such as the provision of product information free repair faster check out or after sales service differentiation among retailers in price and nonprice service factors is a central feature of markets ranging from automobiles and appliances to gasoline and is especially observed in the coexistence of high service retailers and lower price discount retailers therefore how a manufacturer should manage retail differentiation is an important channel management question yet the approach in the existing literature has been to examine channel coordination under the standard symmetric contracting assumption that offering a uniform contract to all the retailers in a market will be sufficient for coordination i bring this assumption into question and ask when is it optimal for the manufacturer to use the channel contract to deliberately induce retail differentiation even if the retailers were ex ante identical in their cost and other characteristics the paper identifies the type of channel contracts that can endogenously induce symmetry as opposed to differentiation among retailers next the paper highlights a type of channel conflict that arises from the very nature of retail price service competition a manufacturer might find the retailers to be excessively biased towards price competition at the cost of service provision or vice versa the paper establishes when a manufacturer is likely to stimulate greater price as opposed to greater service competition among the retailers the framework that i develop to address these issues highlights the role of two basic types of consumer heterogeneity consumers are heterogeneous in their locations as in the spatial models of horizontal differentiation and in their willingness to pay for retail services as in the models of vertical differentiation the model also uses a natural relationship in retail markets between the travel time cost incurred by a consumer and her willingness to pay the more affluent consumers who have a higher willingness to pay for retail services also have a higher cost for their personal time given these market features the paper analyzes the problem faced by a manufacturer who sells to competing retailers the paper shows that the standard notion in the literature of offering similar contracts to all the retailers is sufficient only in markets with substantial locational differentiation relative to the differences in the willingness to pay effective channel management in these markets simply requires mechanisms that ensure that retailer interests are aligned so that they compete by offering a mix of price and service that is desirable from the manufacturer s point of view however in markets with small locational differentiation and substantial diversity in consumer willingness to pay the manufacturer s problem is not just to align retailer interests but to also use the channel contract to induce the correct level of retail differentiation this helps the manufacturer to better cater to the diversity in consumer willingness to pay and to prevent the cut throat competition that the retailers would otherwise have indulged in the manufacturer can achieve this through the use of menu based contracts menu based contracts induce differentiated retailer behavior despite the fact that the retailers are not forced into accepting different terms of trade this aspect can be useful in shielding manufacturers from litigation under the robinson patman act the paper also shows that for relatively high ticket items retailers tend to be excessively biased towards competing in the provision of retail services the correlation between consumer willingness to pay for service and travel costs implies that for high ticket products the competing retailers will focus on the more service sensitive customers at the cost of ignoring the price sensitive consumers in the market the manufacturer is therefore likely to encourage greater price competition among the retailers in contrast for low ticket items the manufacturer prefers to reduce price competition and encourage greater provision of services this provides an endogenous rationale for the use of price ceilings versus floors the basic model is also extended to consider the effect of upstream competition between manufacturers under upstream competition coordinating retail price and service decisions is not always optimal for an individual manufacturer this extension to manufacturer competition provides a basis for understanding the role of retail price service differentiation in the context of a channel duopoly it also shows that a mixed distribution channel a channel in which one manufacturer chooses to be coordinated while the other chooses to be noncoordinated can be an equilibrium in markets with weak brand loyalty

special repo rates this article provides the causes and symptoms of special repo rates in a competitive market for repurchase agreements a repo rate is in effect an interest rate on loans collateralized by a specific instrument a special is a repo rate significantly below prevailing market riskless interest rates this article shows that specials can occur when those owning the collateral are inhibited whether from legal or institutional requirements or from frictional costs from supplying collateral into repurchase agreements specialness increases the equilibrium price for the underlying instrument by the present value of savings in borrowing costs associated with the repo specials this article characterizes competitive repurchase or repo markets and the equilibrium relationship between repo rates and the underlying cash market prices repurchase markets are often called financing markets since they are effectively vehicles for collateralized borrowing that are often used to finance the purchase of the underlying collateral this article provides causes and effects of specials meaning specific repo rates significantly below prevailing market interest rates for loans of similar maturity and credit risk the example of united states treasury instruments is emphasized because of the extensive use of the treasury repo market as a means of hedging against or speculating on changes in u s interest rates and because of the high incidence of specials in treasury repo rates numerous specific instru

defaulted bonds demand supply and performance 1987 1992 estimates of the market value of total private and public defaulted and distressed debt are as high as 200 billion in 1990 with a slight decline to about 175 billion in 1992 the supply can be expected to shrink in the nearfuture as defaults and bankruptcies by large us companies appear to have peaked at the same time the demand for such securities is likely to remain fairly constant as long as they can offer competitive returns

the impact of default risk on the prices of options and other derivative securities abstract this paper presents a model for valuing derivative securities when there is default risk the holder of a security is assumed to recover a proportion of its no default value in the event of a default by the counterparty both the probability of default and the size of the proportional recovery are random the paper shows how data on bonds issued by the counterparty can be used to provide information about model parameters

the implications of corporate bond ratings drift examination of the ratings of over 7000 bonds issued in the 1970 88 period reveals that some 40 to 80 of bonds initially rated bb and above can be expected to experience at least one rating change in the 1 0 years following issuance a rated bonds appear to be more stable than aaarated bonds bb rated bonds the highest junk bond category are the least stable furthermore bonds initially rated a and above have a greater tendency to be downgraded than to be upgraded among the investment grades only bonds initially rated bbb tend to be upgraded more than they are downgraded as for bonds originally rated non investment grade junk there does not appear to be a tendency toward either upgrades or downgrades in the sample period

pricing black scholes options with correlated credit risk abstract this paper presents an improved method of pricing vulnerable black scholes options under assumptions which are appropriate in many business situations an analytic pricing formula is derived which allows not only for correlation between the option s underlying asset and the credit risk of the counterparty but also for the option writer to have other liabilities further the proportion of nominal claims paid out in default is endogenous to the model and is based on the terminal value of the assets of the counterparty and the amount of other equally ranking claims numerical examples compare the results of this model with those of other pricing formulas based on alternative assumptions and illustrate how the model can be calibrated using market data

the censored newsvendor and the optimal acquisition of information this paper investigates the effect of demand censoring on the optimal policy in newsvendor inventory models with general parametric demand distributions and unknown parameter values we show that the newsvendor problem withobservable lost sales reduces to a sequence of single period problems while the newsvendor problem withunobservable lost sales requires a dynamic analysis using a bayesian markov decision process approach we show that the optimalin ventory level in the presence of censored demand ishigher than would be determined using a bayesian myopic policy we explore the economic rationality for this observation and illustrate it with numerical examples

original issue high yield bonds aging analyses of defaults exchanges and calls this paper presents an aging analysis of 741 high yield bonds and finds default exchange and call percentages substantially higher than reported in earlier studies by december 31 1988 cumulative defaults are 34 percent for bonds issued in 1977 and 1978 and range from 19 to 27 percent for issue years 1979 1983 and from 3 to 9 percent for issue years 1984 1986 exchanges are also a significant factor although they often are followed by default moreover a significant percentage of high yield debt 26 47 percent for 1977 1982 has been called by december 31 1988 approximately one third of the bonds issued in 1977 1982 has defaulted or been exchanged and an additional one third had been called on average only 28 percent of these issues are still outstanding there is no evidence that early results for more recent issue years differ markedly from issue years 1977 to 1982

valuing commercial mortgages an empirical investigation of the contingent claims approach to pricing risky debt this paper empirically investigates a contingent claims model of commercial mortgage pricing we find that the magnitude of the observed default premia for a sample of nonprepayable fixed rate bullet mortgages can be explained by the contingent claims model in addition the model explains a significant proportion of the period to period changes in the default premia however given an assumed negative correlation between building value changes and interest rate changes the model s risk structure tends to increase less steeply with increasing maturity than the observed risk structure since the seminal work of black and scholes 1973 corporate liabilities have been modeled as options on the total value of the firm this contingent claims approach to bond pricing was refined by merton 1974 to allow for cash dispersals prior to the bonds maturities and by brennan and schwartz 1980 and ingersoll 1987 to allow for interest rate uncertainty although variants of these bond pricing models are currently being used extensively on wall street they have not been tested extensively moreover empirical studies have not successfully accounted for the observed spread between the rates on risky and default free debt jones mason and rosenfeld 1984 empirically investigate a model that assumes a nonstochastic term structure of interest rates while ramaswamy and sundaresan 1986 examine a model with stochastic interest rates to price floating rate notes in both cases the models could not explain the observed default premia the relative lack of empirical analysis is due partly to the complicated nature of corporate bonds major corporations generally have a large number of different bond issues outstanding that have different priorities in the event that the firm goes bankrupt moreover the bonds can have a variety of covenants specifying sinking fund provisions conditions under which technical default will occur and other restrictions that can have an impact on their value although these complications do not preclude pricing various bond issues on a case by case basis they make it difficult to test systematically the accuracy of the pricing model

a one factor model of interest rates and its application to treasury bond options 1990 a one factor model of interest rates and its application to treasury bond options financial analysts journal vol 46 no 1 pp 33 39

an economic capital model integrating credit and interest rate risk in the banking book banks often measure credit and interest rate risk in the banking book separately and then add the risk measures to determine economic capital this approach misses complex interactions between the two risk types we develop a framework where these risks are analysed jointly since banking book positions are generally not marked to market our model is based on book value accounting our simulations show that interactions matter and that ignoring them leads to risk overstatement the magnitude of the errors depends on the structure of the balance sheet and on the repricing characteristics of assets and liabilities

pricing foreign currency options under stochastic interest rates abstract in this paper we build a general framework to price contingent claims on foreign currencies using the heath et al 1987 model of the term structure closed form solutions are obtained for european options on currencies and currency futures assuming that the volatility functions determining the term structure are deterministic as such this paper provides an example of a bond price process for both the domestic and foreign economies consistent with grabbe s 1983 formulation of the same problem

term structure movements and pricing interest rate contingent claims this paper derives an arbitrage free interest rate movements model ar model this model takes the complete term structure as given and derives the subsequent stochastic movement of the term structure such that the movement is arbitrage free we then show that the ar model can be used to price interest rate contingent claims relative to the observed complete term structure of interest rates this paper also studies the behavior and the economics of the model our approach can be used to price a broad range of interest rate contingent claims including bond options and callable bonds

the priority structure of corporate liabilities most discussions of corporate capital structure effectively assume that all debt is the same yet debt differs by maturity covenant restrictions conversion rights call provisions and priority here we examine priority structure across a sample of 4995 compustat industrial firms from 1981 to 1991 we analyze the variation in the use of capital leases secured debt ordinary debt subordinated debt and preferred stock both as a fraction of the firm s market value and as a fraction of total fixed claims our evidence provides consistent support for contracting cost hypotheses mixed support for tax hypotheses and little support for the signaling hypothesis

the anatomy of the high yield bond market 1987 the anatomy of the high yield bond market financial analysts journal vol 43 no 4 pp 12 25

the default rate experience on high yield corporate debt recent 1978 83 net returns on high yield low rated debt have been impressive averaging 490 to 580 basis points above the long term government bond index but low rated junk bonds pose a risk of default not present in the higher rated segment of the bond market the authors divided the par value of defaulting debt by total low rated straight debt outstanding to arrive at an estimate of the default rate for high yield bonds excluding johns manville which had the only defaulting debt rated investment grade just prior to the default date for the 1974 84 period this averaged 1 52 per cent or 152 basis points annually year to year variations in the rate were substantial furthermore default experience differed across various industry segments railroads and reits were particularly vulnerable to default in the past although they are unlikely to represent a large portion of future defaults retailer electronic computer airline and oil and gas defaults have become more common in recent years losses from default are actually lower than the default rate alone implies defaulted bonds traded on average at 41 per cent of par shortly after default after accounting for the bonds retained value and the loss of interest the average reduction in return to the investor who had purchased the bonds at par would have been in the range of 96 to 100 basis points annually

the intersection of market and credit risk abstract economic theory tells us that market and credit risks are intrinsically related to each other and not separable we describe the two main approaches to pricing credit risky instruments the structural approach and the reduced form approach it is argued that the standard approaches to credit risk management creditmetrics creditrisk and kmv are of limited value when applied to portfolios of interest rate sensitive instruments and in measuring market and credit risk empirically returns on high yield bonds have a higher correlation with equity index returns and a lower correlation with treasury bond index returns than do low yield bonds also macro economic variables appear to influence the aggregate rate of business failures the creditmetrics creditrisk and kmv methodologies cannot reproduce these empirical observations given their constant interest rate assumption however we can incorporate these empirical observations into the reduced form of jarrow and turnbull 1995b drawing the analogy risk 5 63 70 model here default probabilities are correlated due to their dependence on common economic factors default risk and recovery rate uncertainty may not be the sole determinants of the credit spread we show how to incorporate a convenience yield as one of the determinants of the credit spread for credit risk management the time horizon is typically one year or longer this has two important implications since the standard approximations do not apply over a one year horizon first we must use pricing models for risk management some practitioners have taken a different approach than academics in the pricing of credit risky bonds in the event of default a bond holder is legally entitled to accrued interest plus principal we discuss the implications of this fact for pricing second it is necessary to keep track of two probability measures the martingale probability for pricing and the natural probability for value at risk we discuss the benefits of keeping track of these two measures

an integrated pricing model for defaultable loans and bonds abstract in recent years credit risk has played a key role in risk management issues practitioners academics and regulators have been fully involved in the process of developing studying and analysing credit risk models in order to find the elements which characterize a sound risk management system in this paper we present an integrated model based on a reduced pricing approach for market and credit risk its main features are those of being mark to market and that the spread term structure by rating class is contingent on the seniority of debt within an arbitrage free framework we introduce issues such as the integration of market and credit risk the use of stochastic recovery rates and recovery by seniority moreover we will characterize default risk by estimating migration risk through a mortality rate actuarial based approach the resultant probabilities will be the base for determining multi period risk neutral transition probability that allow pricing of risky debt in the trading and banking book

pricing derivatives on financial securities subject to credit risk this article provides a new methodology for pricing and hedging derivative securities involving credit risk two types of credit risks are considered the first is where the asset underlying the derivative security may default the second is where the writer of the derivative security may default we apply the foreign currency analogy of jarrow and turnbull 1991 to decompose the dollar payoff from a risky security into a certain payoff and a spot exchange rate arbitrage free valuation techniques are then employed this methodology can be applied to corporate debt and over the counter derivatives such as swaps and caps the purpose of this article is to provide a new theory for pricing and hedging derivative securities involving credit risk two sources of credit risk are identified and analyzed the first is where the asset underlying the derivative security may default paying off less than promised this is the case for example with imbedded options on corporate debt the second is the credit risk introduced by the writer of the derivative security who may also default examples include over the counter writers of options on eurodollar futures swaps and swaptions for pricing derivative securities involving credit risk there are currently two approaches the first views these derivatives as contingent claims not on the financial securities themselves but as compound options on the assets underlying the financial securities this is the case for example with the pricing of imbedded options on corporate debt see merton 1974 1977 black and cox 1976 ho and singer 1982 chance 1990 and kim ramaswamy and sundaresan 1993 or the pricing of vulnerable options see johnson and stulz 1987 in practice however this valuation methodology is difficult to use first the assets underlying the financial security are often not tradeable and therefore their values are not observable this makes application of the theory and estimation of the relevant parameters problematic second as in the case of corporate debt all of the other liabilities of the firm senior to the corporate debt must first and simultaneously be valued this generates significant computational difficulties as a result this approach has not

the risk and return of low grade bonds an update 1991 the risk and return of low grade bonds an update financial analysts journal vol 47 no 5 pp 85 89

percentage rent contracts between co stores abstract high rental rates and space scarcity in popular retail areas are encouraging retailers to share available space creating co stores co stores with complementary products enjoy a boost in foot traffic thus higher sales when the space is owned by one a common practice for retailers is to engage in a revenue sharing agreement we study the optimal design of a percentage rent contract between two co stores each having his her own random sales dependent on effort levels of both retailers since the effort level exerted by a retailer is often unverifiable it results in a double moral hazard problem we show that a linear percentage rent which is composed of a sales share and a based rent achieves the second best effort levels the landlord may also find it optimal to set a fixed rent by setting the sales share to zero with cobb douglas sales and power disutility of effort functions we obtain closed form expressions for the optimal contract we show that the landlord charges a high sales share for a tenant with low demand externality and a high sales scale the landlord is better off renting out space to a small but high revenue generating retailer rather than one generating larger traffic but with lower sales scale when the landlord s externality potential is low but he is successful in generating sales optimal sales share is low but the base rent is high the percentage rent can increase the landlord profit by up to 13 compared to the conventional fixed rent

security pricing and deviations from the absolute priority rule in bankruptcy proceedings claims ultimately awarded to shareholders of firms in reorganization were examined for a sample of 30 filings under the 1978 bankruptcy reform act we measured the amount paid to shareholders in excess of that which they would have received under the absolute priority rule and found that this amount represents on average 7 6 of the total awarded to all claimants evidence is also reported that common share values reflect a significant proportion of value ultimately received in violation of absolute priority suggesting that deviations from the rule were expected by the equity markets the absolute priority rule hereafter apr states that a bankrupt firm s value is to be distributed to suppliers of capital such that senior creditors are fully satisfied before any distributions are made to junior creditors and junior creditors are paid in full before common shareholders bankruptcy reorganization proceedings however are leaving shareholders and junior creditors with valuable assets even when senior claimants receive only partial settlements as barrett and sullivan 1988 noted traditionally shareholders have been last in line their claims on a troubled company s assets have had the lowest priority and their impact on the course of bankruptcy code proceedings generally has been next to nil but lately the balance of power has been shifting warner 1977 provided one of the early discussions of the implications of deviations from the apr baldwin and mason 1983 pp 510 511 examined the resolution of claims in the massey ferguson reorganization and provided no support for the hypothesis that the market believes absolute priority rules will be enforced if the firm defaults on its financial obligations franks and torous 1989 analyzed a sample of bankruptcies that occurred during the period 1970 through 1984 and found that 21 of 27 sample cases exhibited departures from the apr more recently weiss 1990 examined 37 firms that filed for bankruptcy between 1980 and 1986 and reported that 27 of the cases involved apr violations

stalking information bayesian inventory management with unobserved lost sales retailers are frequently uncertain about the underlying demand distribution of a new product when taking the empirical bayesian approach of scarf 1959 they simultaneously stock the product over time and learn about the distribution assuming that unmet demand is lost and unobserved this learning must be based on observing sales rather than demand which differs from sales in the event of a stockout using the framework and results of braden and freimer 1991 the cumulative learning about the underlying demand distribution is captured by two parameters a scale parameter that reflects the predicted size of the underlying market and a shape parameter that indicates both the size of the market and the precision with which the underlying distribution is known an important simplification result of scarf 1960 and azoury 1985 which allows the scale parameter to be removed from the optimization is shown to extend to this setting we present examples that reveal two interesting phenomena 1 a retailer may hope that compared to stocking out realized demand will be strictly less than the stock level even though stocking out would signal a stochastically larger demand distribution and 2 it can be optimal to drop a product after a period of successful sales we also present specific conditions under which the following results hold 1 investment in excess stocks to enhance learning will occur in every dynamic problem and 2 a product is never dropped after a period of poor sales the model is extended to multiple independent markets whose distributions depend proportionately on a single unknown parameter we argue that smaller markets should be given better service as an effective means of acquiring information

the pricing of options with default risk this paper considers the pricing of options with default risk the comparative statics of such options can differ from those of ordinary options and early exercise of such american call options can be optimal several examples of options with default risk are considered traditionally it has been assumed that options have no default risk such an assumption is reasonable when one studies options traded on an organized exchange in the u s default on such options would require as cox and rubinstein 5 put it a very sudden and strong movement in stock prices one considerably more extreme than any on record p 71 however many options and financial assets containing option like payoffs are sold by firms that have limited assets for such options default is often a possibility that must be taken seriously in this paper we study how options subject to default risk which we hereinafter call vulnerable options are priced it turns out that many of the well established results of the option pricing literature see e g smith 12 and references therein do not hold for vulnerable options in particular the value of a vulnerable european option can fall with time to maturity with the interest rate and with the variance of the underlying asset furthermore it may pay to exercise early a vulnerable american option on a non dividend paying asset

a theory of competition among pressure groups for political influence this paper presents a theory of competition among pressure groups for political influence political equilibrium depends on the efficiency of each group in producing pressure the effect of additional pressure on their influence the number of persons in different groups and the deadweight cost of taxes and subsidies an increase in deadweight costs discourages pressure by subsidized groups and encourages pressure by taxpayers this analysis unifies the view that governments correct market failures with the view that they favor the politically powerful both are produced by the competition for political favors

the governance of exclusive territories when dealers can bootleg a transaction cost approach is used to investigate a manufacturer s policy towards exclusive territory dealers who bootleg sell across their assigned territories we show that optimal enforcement policies will generally tolerate some level of bootlegging this tolerance is a natural consequence of the transaction cost principle that institutional arrangements are not fully enforceable and that self enforcing implicit agreements will require some degree of tolerance the actual degree of tolerance is determined by a the importance of reseller services b the reduction in margin realized from surreptitious sales and c the resellers beliefs about the manufacturer s long run commitment to the channel we also show that deploying exclusive territories is beneficial to the manufacturer because it safeguards reseller services and permits resellers to capitalize on their superior local information however the latter effect is contingent on being able to convince resellers of the manufacturer s long r

a yield premium model for the high yield debt market a simple method for determining whether the high yield debt market is rich or poor at any point in time uses the concept of break even yield to measure the current market premium that investors can expect to receive over the yield of the benchmark default risk free bonds covering the sample period 1988 to 1994 analysis of premiums and implied default rates for each of the high yield bond rating categories as well as the overall high yield market indicates that premiums over the break even yield have varied dramatically during the past six years from 0 5 percent to 8 0 percent also total returns are significantly positively correlated with lagged premiums this result implies an effective model for predicting returns over 6 and 12 month horizons

credit swap valuation this review of the pricing of credit swaps a form of derivative security that can be viewed as default insurance on loans or bonds begins with a description of the credit swap contract turns to pricing by reference to spreads over the risk free rate of par floating rate bonds of the same quality and then considers model based pricing the role of asset swap spreads as a reference for pricing credit swaps is also considered

interaction of market and credit risk abstract experience during the financial crisis illustrates that the integrated measurement and management of different forms of risk remains a challenge for industry practitioners researchers and financial supervisors alike in the context of related literature this article summarizes new research on the interaction of market and credit risk and implications for risk management that is presented in this special issue the research covered highlights in particular the errors that can occur in the aggregation of the two types of risk and the strong relationships between them that suggest caution in the use of pragmatic distinctions between them the article also touches on some research based lessons for supervisory policies and suggests some directions for future research

a multi factor credit migration model for sovereign and corporate debts abstract this paper develops a multi factor markov chain model for rating migrations and credit spreads that is applicable to both sovereign and corporate debts the model s central feature is to allow transition matrices to be time varying and driven by rating specific latent variables which encompass economic factors like the business cycle there are three main contributions first the model incorporates well documented empirical properties of transition matrices such as their dependence on business credit cycles and it also allows for inter rating variations in credit quality changes second instead of focusing solely on empirical modeling of rating transitions the paper also shows how the empirical model can be implemented for actual valuations third the estimation and calibration procedures are easy to follow and implement