comparing risks by acceptance and rejection stochastic dominance is a partial order on risky assets gambles that is based on the uniform preference of all decision makers in an appropriate class for one gamble over another we modify this requirement first by taking into account the status quo given by the current wealth and the possibility of rejecting gambles and second by comparing rejections that are substantive i e uniform over wealth levels or over utilities this yields two new stochastic orders wealth uniform dominance and utility uniform dominance unlike stochastic dominance these two orders are complete any two gambles can be compared moreover they are equivalent to the orders induced by respectively the aumann serrano index of riskiness and the foster hart measure of riskiness

rotating and accumulating savings and credit associations a development perspective abstract financial self help groups in low income countries consist of two basic types rotating and accumulating savings and credit associations or roscas and ascras in the ascra funds are not immediately withdrawn but are left to grow for loan making comparing the two groups the author finds similarities and differences efforts to rectify the rosca s shortcomings have prompted many innovations and given birth to a hybrid preserving the best of both types in constant adaptation to changing environments

the term structure of interest rates in a partially observable economy this paper investigates the term structure of interest rates in a multiperiod production and exchange economy with incomplete information unable to observe their stochastic investment opportunities investors engage in dynamic bayesian inference this results in the endogenous identification of a more complex production function which generates a richer term structure resembling the one that actual market prices imply in addition this paper introduces a characteristic function of the term structure and demonstrates that in contrast with a fully observable economy the widely investigated expectations hypothesis holds true only if interest rates are nonstochastic this paper investigates the term structure of interest rates in a dynamic production and exchange economy with an unobservable productivity factor in order to estimate the unobservable stochastic investment opportunities rational investors engage in dynamic bayesian inference anticipated changes in investors quality of information about the fluctuations of the economic state variable affect equilibrium demands and prices this results in the endogenous identification of a more complex production function which induces a richer term structure term structures of interest rates in a partially observable economy resemble term structure curves that actual market prices imply this paper also introduces a characteristic function of the term structure and demonstrates that in contrast with a fully observable economy the widely investigated expectations

rotating savings and credit associations credit markets and efficiency this paper examines the allocative performance of rotating savings and credit associations roscas a financial institution which is observed world wide we develop a model in which individuals save for an indivisible good and study roscas which distribute funds using random allocation and bidding the allocations achieved by the two types of rosca are compared with that achieved by a credit market and with efficient allocations more generally we find that neither type of rosca is efficient and that individuals are better off with a credit market than a bidding rosca nonetheless a random rosca may sometimes yield a higher level of ex ante expected utility to prospective participants than would a credit market i introduction rotating savings and credit associations roscas are a widely observed institution for financial intermediation they are found all over the world particularly in developing countries and have heretofore received scant attention from economists this paper and its companion piece besley coate and loury 1993 constitute a first attempt to analyse their economic role and performance roscas come in two main forms the first type allocates funds randomly in a random rosca members commit to putting a fixed sum of money into a pot for each period of the rosca s life lots are drawn and the pot is randomly allocated to one of the members in the next period the process repeats itself with each previous winner excluded from the draw the process continues until each rosca member has received the pot once at this point the rosca is either disbanded or begins over again individuals may also form a bidding rosca in which the pot is allocated via a bidding procedure the individual who

interest rate volatility and the term structure a two factor general equilibrium model we develop a two factor general equilibrium model of the term structure the factors are the short term interest rate and the volatility of the short term interest rate we derive closed form expressions for discount bonds and study the properties of the term structure implied by the model the dependence of yields on volatility allows the model to capture many observed properties of the term structure we also derive closed form expressions for discount bond options we use hansen s generalized method of moments framework to test the cross sectional restrictions imposed by the model the tests support the two factor model there are essentially two approaches to the modeling of the term structure of interest rates in continuous time the equilibrium approach pioneered by

islamic banking and finance recent empirical literature and directions for future research this paper examines the recent empirical literature in islamic banking and finance highlights the main findings and provides a guide for future research early studies focus on the efficiency production technology and general performance features of islamic versus conventional banks whereas more recent work looks at profit and loss sharing pls behaviour competition risks as well as other dimensions such as small business lending and financial inclusion apart from key exceptions the empirical literature suggests no major differences between islamic and conventional banks in terms of their efficiency competition and risk features although small islamic banks are found to be less risky than their conventional counterparts there is some evidence that islamic finance aids inclusion and financial sector development results from the empirical finance literature dominated by studies that focus on the risk return features of mutual funds finds that islamic funds perform as well if not better than conventional funds there is little evidence that they perform worse than standard industry benchmarks some recent evidence however suggests that islamic bond sukuk issuance destroys value for shareholders

household risk management and optimal mortgage choice the portfolio of the typical american household is quite unlike the diversie ed portfolio of liquid assets discussed in e nance textbooks the major asset in the portfolio is a house a relatively illiquid asset with an uncertain capital value the value of the house generally exceeds the net worth of the household which e nances its homeownership through a mortgage contract to create a leveraged position in residential real estate other e nancial assets and liabilities are typically far less important than the house and its associated mortgage contract the importance of housing in household wealth is illustrated in figure i this e gure plots the fraction of household assets in housing and in equities against the wealth percentile of the household poor households appear at the left of the e gure and wealthy households at the right data come from the 1989 and 1998 survey of consumer finances the e gure shows that middle class american families from roughly the fortieth to the eightieth percentile of the wealth distribution have more than half their assets in the form of housing even after the expansion of equity ownership during the 1990s equities are of negligible importance for these households 1

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

an equilibrium model of bond pricing and a test of market efficiency in two previous and related papers 3 4 the authors have reported the results of estimating a particular equilibrium model of bond pricing using quarterly data on canadian government bonds for the period 1964 to 1979 this paper reports the results of applying a similar model to the pricing of u s government bonds for the period 1958 1979 using data from the crsp government bond file the paper also extends the previous empirical analysis by evaluating the ability of the pricing model to detect underpriced and overpriced bonds the data reveal a strong relation between price prediction errors and subsequent bond returns

on arbitrage free pricing of interest rate contingent claims unlike most interest rate claim models the ho lee model utilizes full information on the current term structure unfortunately the model has a major deficiency in that negative interest rates can occur this article modifies the model such that interest rates are well behaved

financing housing in developing countries a review of the pitfalls and potentials in the development of formal housing finance systems effectively addressing the existing and continuously growing enormous demands and needs for shelter depends critically on the availability of long term housing finance on a fairly large and sustain

organizational form and risk taking in the savings and loan industry abstract i hypothesize that risk taking is greater in stock thrifts than in mutual thrifts because the residual and fixed claims are separable i find that stock thrifts exhibit greater profit variability during the 1982 1988 period and that conversions from mutual to stock ownership are associated with increased investment in risky assets and increased profit variability these findings illustrate the relation between the structure of residual claims incentives and firm performance as well as the unintended consequences resulting from changes in thrift regulations

pricing claims under garch level dependent interest rate processes this article considers the pricing of interest rate sensitive claims when the underlying interest rate is driven by a two state variable garch process analytical solutions are established for the case when the innovations in the short rate are normal and or chi squared random variables and the volatility of rates take on a special garch form garch models that nest level dependent interest rate models including the cox ingersoll and ross model are also considered algorithms are provided that permit the efficient pricing of american style interest rate claims under a rather broad array of garch level dependent processes

a nonlinear general equilibrium model of the term structure of interest rates abstract we derive and test an alternative closed form general equilibrium model of the term structure within the cox ingersoll and ross theoretical framework in which yields are nonlinear functions of the risk free rate we show that equilibrium bond prices and the risk free rate are not always inversely related and that bond risk need not be strictly increasing in maturity using hansen s generalized method of moments to obtain parameter estimates this nonlinear model outperforms the cox ingersoll and ross square root model in describing actual treasury bill yields for the 1964 1986 period

continuous time methods in finance a review and an assessment i survey and assess the development of continuous time methods in finance during the last 30 years the subperiod 1969 to 1980 saw a dizzying pace of development with seminal ideas in derivatives securities pricing term structure theory asset pricing and optimal consumption and portfolio choices during the period 1981 to 1999 the theory has been extended and modified to better explain empirical regularities in various subfields of finance this latter subperiod has seen significant progress in econometric theory computational and estimation methods to test and implement continuous time models capital market frictions and bargaining issues are being increasingly incorporated in continuous time theory the roots of modern continuous time methods in finance can be traced back to the seminal contributions of merton 1969 1971 1973b in the late 1960s and early 1970s merton 1969 pioneered the use of continuous time modeling in financial economics by formulating the intertemporal consumption and portfolio choice problem of an investor in a stochastic dynamic programming setting merton 1973b also showed how such a framework can be used to develop equilibrium asset pricing implications thereby significantly extending the asset pricing theory to richer dynamic settings and expanding the scope of applications of continuous time methods to study problems in financial economics 1 within a span of about 30 years from the publication of merton s inf luential papers continuous time methods have become an integral part of financial economics indeed in certain core areas in finance such as e g asset pricing derivatives valuation term structure theory and portfolio selection continuoustime methods have proved to be the most attractive way to conduct research and gain economic intuition the continuous time approach in these areas has produced models with a rich variety of testable implications the econometric theory for testing continuous time models has made rapid strides in the last decade and has thus kept pace with the impressive progress on the theoretical front one hopes that the actual empirical investigations and estimation using the new procedures will follow suit soon

an intertemporal general equilibrium model of asset prices this paper develops a continuous time general equilibrium model of a simple but complete economy and uses it to examine the behavior of asset prices in this model asset prices and their stochastic properties are determined endogenously one principal result is a partial differential equation which asset prices must satisfy the solution of this equation gives the equilibrium price of any asset in terms of the underlying real variables in the economy in this paper we develop a general equilibrium asset pricing model for use in applied research an important feature of the model is its integration of real and financial markets among other things the model endogenously determines the stochastic process followed by the equilibrium price of any financial asset and shows how this process depends on the underlying real variables the model is fully consistent with rational expectations and maximizing behavior on the part of all agents our framework is general enough to include many of the fundamental forces affecting asset markets yet it is tractable enough to be specialized easily to produce specific testable results furthermore the model can be extended in a number of straightforward ways consequently it is well suited to a wide variety of applications for example in a companion paper cox ingersoll and ross 7 we use the model to develop a theory of the term structure of interest rates many studies have been concerned with various aspects of asset pricing under uncertainty the most relevant to our work are the important papers on intertemporal asset pricing by merton 19 and lucas 16 working in a continuous time framework merton derives a relationship among the equilibrium expected rates of return on assets he shows that when investment opportunities are changing randomly over time this relationship will include effects which have no analogue in a static one period model lucas considers an economy with homogeneous individuals and a single consumption good which is produced by a number of processes the random output of these processes is exogenously determined and perishable assets are defined as claims to all or a part of the output of a process and the equilibrium determines the asset prices our theory draws on some elements of both of these papers like merton we formulate our model in continuous time and make full use of the analytical tractability that this affords the economic structure of our model is somewhat similar to that of lucas however we include both endogenous production and

pricing caps with hjm models the benefits of humped volatility in this paper we compare different multifactor hjm models with humped volatility structures to each other and to models with strictly decreasing volatility all the models are estimated on euribor and swap rates panel data maximizing the quasi likelihood function obtained from the kalman filter we develop the analysis in two steps first we study the in sample properties of the estimated models then we test the pricing performance on caps we find the humped volatility specification to greatly improve the model estimation and to provide sufficiently accurate cap prices although the models has been calibrated on interest rates data and not on cap prices moreover we find the two factor humped volatility model to outperform the three factor models in pricing caps

empirical evidence of risk shifting in financially distressed firms this paper provides evidence of risk shifting behavior in the investment decisions of financially distressed firms using a real options framework i show that shareholders risk shifting incentives can reverse the expected negative relation between volatility and investment i test two hypotheses that are consistent with risk shifting behavior i volatility has a positive effect on distressed firms investment ii investments of distressed firms generate less value during times of high uncertainty empirical evidence using 40 years of data supports both hypotheses i further evaluate the effect of various firm characteristics on risk shifting and estimate the costs of the investment distortion

deposit insurance regulation and moral hazard in the thrift industry evidence from the 1930 s this paper compares risk taking of insured and uninsured thrifts operating under strict and less strict regulatory regimes during the 1930 s analysis of balance sheet data indicates that while newly insured thrifts undertook less risk than their uninsured counterparts possibly because of screening by deposit insurance authorities moral hazard emerged gradually insured institutions operating under relatively permissive regulatory regimes were more prone to undertake risky lending activities than their more tightly regulated counterparts possibly because of screening by deposit insurance authorities moral hazard emerged gradually insured institutions operating under relatively premissive regulatory regimes were more prone to undertake risky lending activities than their more tightly regulated counterparts given the current system of deposit insurance the results suggest that effective regulation and supervision will play a key role in maintaining thrift stability in the 1990s copyright 1992 by american economic association

an international study of tax effects on government bonds it is shown that coupon bonds alone are not sufficient to span time dated claims on ordinary income capital gains and non taxable wealth in an incomplete bond market where the pure dated claims are not spanned by existing bonds marginal rates of substitution between present consumption and pure dated claims on ordinary income capital gains income and non taxable wealth respectively can differ across bondholders however the relative pricing of coupon bonds in each of these countries is shown to be consistent with the tax status of the major non tax exempt holders of government debt

simple binomial processes as diffusion approximations in financial models a binomial approximation to a diffusion is defined as computationally simple if the number of nodes grows at most linearly in the number of time intervals it is shown how to construct computationally simple binomial processes that converge weakly to commonly employed diffusions in financial models the convergence of the sequence of bond and european option prices from these processes to the corresponding values in the diffusion limit is also demonstrated numerical examples from the constant elasticity of variance stock price and the cox ingersoll and ross 1985 discount bond price are provided article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

unspanned stochastic volatility and fixed income derivatives pricing we propose a parsimonious unspanned stochastic volatility model of the term structure and study its implications for fixed income option prices the drift and quadratic variation of the short rate are affine in three state variables the short rate its long term mean and variance which follow a joint markov vector process yet bond prices are exponential affine functions of only two state variables independent of the current interest rate volatility level because this result holds for an arbitrary volatility process such a process can be calibrated to match fixed income derivative prices furthermore this model can be extended by relaxing the time homogeneity to fit any arbitrary term structure in its hjm form this model nests the analogous stochastic equity volatility model of heston 190 heston s l 1993 a closed form solution for options with stochastic volatility review of financial studies 6 327 343 in particular if the volatility process is specified to be affine closed form solutions for interest rate options obtain we propose an efficient algorithm to compute these prices an application using data on caps and floors shows that the model can capture very well the implied black spot volatility surface while simultaneously fitting the observed term structure c 2005 elsevier b v all rights reserved

a markovian framework in multi factor heath jarrow morton models we consider the general n factor heath jarrow and morton model 1992 and provide a sufficient condition on the volatility structure for the spot rate process to be markovian with 2 n state variables the price of a discount bond is also markovian with the same state variables and hence claims against the term structure can be efficiently priced using standard simulation techniques our results extend earlier works such as ritchken and sankarasubramanian 1995 where the one factor model is treated and carverhill 1994 where the volatility structure is non random numerical experiments show that our model can explain the volatility smile observed in the interest rate options market and also overcome the biases noted by flesaker 1993

the empirical implications of the cox ingersoll ross theory of the term structure of interest rates the one factor version of the cox ingersoll and ross model of the term structure is estimated using monthly quotes on u s treasury issues trading from 1952 through 1983 using data from a single yield curve it is possible to estimate implied short and long term zero coupon rates and the implied variance of changes in short rates analysis of residuals points to a probable neglected tax effect the term structure of interest rates is important to economists because the relationship among the yields on default free securities that differ in their term to maturity reflects the information available to the market about the future course of events the expectations hypothesis the liquidity preference hypothesis hicks 10 and the market segmentation hypothesis culbertson 6 are theories of the term structure that predict little more than that the implied forward rate is either equal to or not equal to the expectation of future spot rates cox ingersoll and ross 5 cir model the term structure of interest rates in a competitive equilibrium context their model has elements in common with the earlier hypotheses of the term structure however the cir model has a rich class of empirical implications not only for the pricing of default free securities but also for the pricing of bond options callable bonds and other types of financial claims this paper examines the extent to which the model in its simplest one factor form is descriptive of the prices of u s treasury bills bonds and notes traded from 1952 to 1983 section i describes the model and the parsimonious representation of bond prices which it implies section ii describes the data and section iii outlines the preliminary results obtained by fitting the model to observed data the final section outlines directions for future research

a simple approach to interest rate option pricing a simple introduction to contingent claim valuation of risky assets in a discrete time stochastic interest rate economy is provided taking the term structure of interest rates as exogenous closed form solutions are derived for european options written on 1 treasury bills 2 interest rate forward contracts 3 interest rate futures contracts 4 treasury bonds 5 interest rate caps 6 stock options 7 equity forward contracts 8 equity futures contracts 9 eurodollar liabilities and 10 foreign exchange contracts article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

discretized reality and spurious profits in stochastic programming models for asset liability management in the literature on stochastic programming models for practical portfolio investment problems relatively little attention has been devoted to the question how the necessarily approximate description of the asset price uncertainty in these models influences the optimal solution in this paper we will show that it is important that asset prices in such a description are arbitrage free descriptions which have been suggested in the literature are often inconsistent with observed market prices and or use sampling to obtain a set of scenarios about the future we will show that this effectively introduces arbitrage opportunities in the optimization model for an investor who cannot exploit arbitrage opportunities directly because of market imperfections and trading restrictions we will illustrate that the presence of such arbitrage opportunities may cause substantial biases in the optimal investment strategy

testing the heath jarrow morton ho lee model of interest rate contingent claims pricing this paper presents empirical tests of the constant volatility version of the heath jarrow and morton model which is also the continuous time limit of the ho and lee model using a generalized method of moments gmm test on three years of daily data for eurodollar futures and futures options the model can be rejected for most subperiods various biases in the fitted option prices relative to the market prices are documented through a regression study the small sample properties and power of the gmm framework to this setting are also studied through simulations

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

japan s financial crisis and economic stagnation the recent japanese economic experience has been dismal growth has collapsed deflation has taken hold and the financial system is in shambles we begin our story by documenting the macroeconomic troubles that appear to have triggered the collapse of japan s financial sector we argue however that the macroeconomic factors alone are not likely to explain the full extent of the problems in the japanese financial system we then turn to the sector specific factors that are facing the japanese banks insurance companies and government financial institutions which together constitute roughly three quarters of the financial system finally we provide estimates of the size of the losses that have been accumulated and review the steps necessary to resolve the problems promptly so that the losses stop growing the estimated losses from japan s financial system problems which presumably will be borne by taxpayers eventually are huge even our fairly conservative estimate suggests the full cost to the taxpayers is at least 20 percent of japan s gdp the sheer size of the cost along with the interaction among the related economic problems has made a decisive resolution of the problems politically difficult

do bonds span the fixed income markets theory and evidence for unspanned stochastic volatility most term structure models assume bond markets are complete that is that all fixed income derivatives can be perfectly replicated using solely bonds however we find that in practice swap rates have limited explanatory power for returns on at the money straddles portfolios mainly exposed to volatility risk we term this empirical feature unspanned stochastic volatility usv while usv can be captured within an hjm framework we demonstrate that bivariate models cannot exhibit usv we determine necessary and sufficient conditions for trivariate markov affine systems to exhibit usv for such usv models bonds alone may not be sufficient to identify all parameters rather derivatives are needed

the pricing of options on default free bonds recent developments in the finance literature dealing with the valuation of contingent claims have been triggered by black and scholes 2 with their valuation of european options on corporate stocks the type of valuation model derived by black and scholes is attractive because it is independent of preferences this independence is possible due to the fact that the contingent claims are usually assumed to be contingent on traded assets or traded state variables for example a european call option is a claim contingent on the value of the corresponding stock to maintain the independence of the claim from preferences however some variables have to be discarded and considered as constants for example the rate of interest which is not a traded state variable is considered a constant in most of the literature see black and scholes 2 merton 11 and ingersoll 9 though this approximation might not cause important discrepancies in the case of corporate liabilities and options on corporate liabilities the effect of such an approximation on the value of default free bonds and options on default free bonds is more important since these liabilities depend only on the rate of interest

entropy and the value of information for investors consider any investor who fears ruin when facing any set of investments that satisfy no arbitrage before investing he can purchase information about the state of nature in the form of an information structure given his prior information structure alpha is more informative than information structure beta if whenever he is willing to buy beta at some price he is also willing to buy alpha at that price we show that this informativeness ordering is complete and is represented by the decrease in entropy of his beliefs regardless of his preferences initial wealth or investment problem we also show that no prior independent informativeness ordering based on similar premises exists

a theory of the nominal term structure of interest rates a model of the nominal term structure of interest rates is developed that has a positive and stationary process for the interest rate and delivers closed form expressions for the prices of discount bonds and european options on bonds unlike the one state variable version of the cox ingersoll and ross 1985 model this model even in its one state variable version allows the term premium to change sign as a function of the state and the term to maturity and also allows for shapes of the yield curve that are observed in the u s data but that are disallowed in the cox ingersoll and ross model article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

time dependent variance and the pricing of bond options in this paper we develop a model for valuing debt options that takes into account the changing characteristics of the underlying bond by assuming that the standard deviation of return is proportional to the bond s duration the resulting model uses the bond price as the single state variable and thus preserves much of the simplicity and robustness of the black scholes approach the paper provides comparisons between option prices computed using this model and those using the black scholes and brennan and schwartz models the last decade has seen a dramatic increase in the volatility of bond markets leading to a growing interest in financial instruments that can be used to hedge this risk thus in the u s canada and the u k there has been a proliferation of new interest rate dependent securities such as bond futures options on bonds options on bond futures swap agreements and bonds with option features such as callability putability retractability and so forth with the development of these markets the problems of valuation and the derivation of the hedging strategies have become subjects of increasing importance to both practitioners and academics several valuation methods have been suggested in the literature but so far no consensus has emerged as to the best solution to these problems the simplest approach to the valuation of debt options and probably the most widely used in practice is the black scholes model 3 this method originally developed for the valuation of stock options assumes that the variance of the rate of return on the underlying security is constant while this assumption is plausible for common stocks it is clearly unreasonable for bonds with a finite maturity the distinctive feature of the problem of debt option valuation is that the characteristics of the underlying asset change over time because the price is constrained to converge to the face value of the bond at maturity a second drawback of the black scholes approach is that it assumes a constant short term interest rate an assumption that is clearly inconsistent with stochastic returns on bonds in spite of these problems the black scholes model has been frequently used in practice to value debt options because of its overwhelming simplicity in comparison with other available methods

one factor interest rate models and the valuation of interest rate derivative securities this paper compares different approaches to developing arbitrage free models of the term structure it presents a numerical procedure that can be used to construct a wide range of one factor models of the short rate that are both markov and consistent with the initial term structure of interest rates

can an islamic model of housing finance cooperative elevate the economic status of the underprivileged abstract a formal home loan is onerous to subprime borrowers in efficient markets this can deter home ownership for financially strapped individuals leading to a market failure this paper proposes a special form of cooperative mortgage financing practiced in oman to overcome this market failure we integrate the literature of mortgage design with that of informal savings schemes i e roscas ascras to illustrate that this mode of financing dissipates credit risk better than the

lattice models for pricing american interest rate claims this article establishes efficient lattice algorithms for pricing american interest sensitive claims in the heath jarrow and morton paradigm under the assumption that the volatility structure of forward rates is restricted to a class that permits a markovian representation of the term structure the class of volatilities that permits this representation is quite large and imposes no severe restrictions on the structure for the spot rate volatility the algorithm exploits the markovian property of the term structure and permits the efficient computation of all types of interest rate claims specific examples are provided

on correlation and default clustering in credit markets we establish markovian models in the heath jarrow and morton 1992 paradigm that permit an exponential affine representation of riskless and risky bond prices while offering significant flexibility in the choice of volatility structures estimating models in our family is typically no more difficult than in the workhorse affine family besides diffusive and jump induced default correlations defaults can impact the credit spreads of surviving firms allowing for a greater clustering of defaults numerical implementations highlight the importance of incorporating interest rate credit spread correlations credit spread impact factors and the full credit spread curve when building a unified framework for pricing credit derivatives the author 2010 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please e mail journals permissions oxfordjournals org oxford university press

the role of the state in financial markets this paper reexamines the role of the state in financial markets and identifies seven major market failures that provide a potential rationale for government intervention in practice government interventions in capital markets even in industrial countries have been pervasive the paper provides a taxonomy of those interventions with respect to both the objectives they serve and the instruments they employ there is a role for the government in financial markets but the success of government interventions has been mixed it is important that interventions be well designed the paper sets out principles for government regulatory interventions and applies them to prudential regulation it then examines three other areas of intervention directed credit finanical repression and competition policy and identifies circumstances in which some amount of financial repression may actually be beneficial

single factor heath jarrow morton term structure models based on markov spot interest rate dynamics this paper considers the class of heath jarrow morton term structure models where the spot interest rate is markov and the term structure at time t is a function of time maturity and the spot interest rate at time t a representation for this class of models is derived and i show that the functional forms of the forward rate volatility structure and the initial forward rate curve cannot be arbitrarily chosen i provide necessary and sufficient conditions indicating which combinations of these functional forms are allowable i also derive a partial differential equation representation of the term structure dynamics that does not require explicit modeling of both the market price of risk and the drift term for the spot interest rate process using the analysis presented in this paper a class of intertemporal term structure models is derived

dynamic models of the term structure in the past 25 years tremendous progress has been made in modeling the dynamics of the term structure of interest rates which play an instrumental role in determining prices and hedging portfolios of fixed income derivative securities this article reviews the theoretical development of the dynamic models of the default free term structure and their applications in pricing interest rate options classic models sometimes termed equilibrium models and their multifactor extensions are outlined these models provide clear economic intuitions connecting the term structure with economic fundamentals they also lay a foundation for the framework of the arbitrage models that price interest rate derivatives on the basis of the market prices of bonds this framework has been expanded and enriched by recent advances in directly modeling observable market rates through the market models and in incorporating an internally consistent correlation structure through the infinite dimensional models

bond pricing and the term structure of interest rates a discrete time approximation this paper studies the binomial approximation to the continuous trading term structure model of heath jarrow and morton 1987 the discrete time approximation makes the original methodology accessible to a wider audience and provides a computational proce dure necessary for calculating the contingent claim values derived in the continuous time paper this paper also extends and generalizes ho and lee s 1986 model to include multiple random shocks to the forward rate process and to include an analysis of continu ous time limits the generalization provides insights into the limitations of the existing empirical implementation of ho and lee s model

financial development and economic growth views and agenda this critique argues that the preponderance of theoretical reasoning and empirical evidence suggests a positive first order relationship between financial development and economic growth the body of work would push even most skeptics toward the belief that the development of financial markets and institutions is a critical and inextricable part of the growth process and away from the view that the financial system is an inconsequential sideshow responding passively to economic growth many gaps remain however and the paper highlights areas in acute need of additional research

deal or no deal decision making under risk in a large payoff game show we examine the risky choices of contestants in the popular tv game show deal or no deal and related classroom experiments contrary to the traditional view of expected utility theory the choices can be explained in large part by previous outcomes experienced during the game risk aversion decreases after earlier expectations have been shattered by unfavorable outcomes or surpassed by favorable outcomes our results point to reference dependent choice theories such as prospect theory and suggest that path dependence is relevant even when the choice problems are simple and well defined and when large real monetary amounts are at stake

the anatomy of an informal financial market rosca participation in taiwan abstract little is known about informal financial markets in developing countries this paper analyzes participation in rotating savings and credit associations using a national household survey from taiwan we find that participation is highest among high income households there is some evidence that income stability may play a role as well life cycle differences suggest a role in funding durables purchases our evidence indicates that roscas may be an alternative savings device to the formal financial sector

pricing home mortgages and bank collateral a rational expectations approach the efficiency of the housing finance system is of interest to homeowners financial intermediaries and policy makers we study the design of optimal mortgage contracts for risk averse economic agents with access to symmetric information on the payoffs of a risky home our non linear framework helps demonstrate the pareto efficiency of a risk free loan over its risky counterpart it also allows us to evaluate the unique equilibrium interest rate loan amount and home price in contrast to the capital structure theorems finally we conduct numerical simulations in lieu of comparative statics to shed some light on the complex causal relationship between mortgage pricing parameters and the underlying collateral i e home value

the maturity structure of corporate debt we provide an empirical examination of the determinants of corporate debt maturity our evidence offers strong support for the contracting cost hypothesis firms that have few growth options are large or are regulated have more long term debt in their capital structure we find little evidence that firms use the maturity structure of their debt to signal information to the market the evidence is consistent however with the hypothesis that firms with larger information asymmetries issue more short term debt we find no evidence that taxes affect debt maturity

credit risk analysis of mortgage loans an application to the italian market the valuation of financial instruments in which both credit risk and interest rate risk are taken into account is an outstanding task for financial institutions in this paper we propose an affine reduced model dealing with this topic we show that this model offers analytical tractability as well as flexibility we also show that the parameters of the model can be estimated via maximum likelihood in a straightforward way to outline the procedure we estimate the model on italian data using zero coupon bond and historical default probabilities as provided by the bank of italy

the performance of alternative interest rate risk measures and immunization strategies under a heath jarrow morton framework using a monte carlo simulation this study addresses the question of how traditional risk measures and immunization strategies perform when the term structure evolves in a heath jarrow morton 1992 manner the results suggest that for immunization purposes im munization strategies and portfolio formation strategies are more important than interest rate risk measures the performance of immunization strategies depends more on the transaction costs and the holding period than on the risk measures moreover the immu nization performance of bullet and barbell portfolios is not very sensitive to interest rate risk measures

stochastic processes for interest rates and equilibrium bond prices default free bonds represent in essence money sold forward the investor gives dollars say to the government now in exchange for a contract which promises to pay with probability one a given number of dollars at maturity and possibly a stream of intermediate coupon payments prior to maturity only recently have financial economists begun to examine the pricing of those bonds in a portfolio context in that framework nominal liquidity premiums or risk premiums on long term default free bonds are attributable to uncertainty about taste technological and price level changes which may occur prior to maturity of the bonds and prior to each coupon payment if any to the extent that the investor is unable to diversify away that uncertainty there is a systematic risk attached to the marginal utility which he or she can derive from the use in consumption or investment of the dollar payoffs on the bonds in some term structure models the instantaneous or short term rate of interest denoted here as a function of time t by r t in nominal terms and r t in real terms can be taken as a sufficient statistic1 for the source of systematic uncertainty about the marginal utility of the proceeds to be derived from defaultfree bonds maturing beyond the next instant e g merton 1974 vasicek 1977 cox ingersoll and ross 1977 specific assumptions about tastes technology and utility functions lead to specific equilibrium stochastic processes for the instantaneous short term riskless rate and longer term bond prices which are modelled as functionally dependent upon maturity and that short term riskless rate if a closed form solution exists for the long term bond price as a function of maturity and the short term interest rate it will be conditional inter alia on the parameters of the stochastic process for that short term rate marsh 1981 proposed that the closed form solutions could be tested in terms of the restrictions implied cross sectionally on the parameters of the time series process for the returns or prices of longer term bonds each with a given term to maturity for an analogy outside the term structure literature think of the closed form solution given by black and scholes 1972 for the price of an option on a nondividend paying stock with lognormal price dynamics given the model the cross section of time series for the changes in prices for each of the several options written on the same stock are not unrestricted their dispersion is functionally linked to the same volatility parameter for the stock price thus the option model including

pricing interest rate derivatives a general approach the relationship between affine stochastic processes and bond pricing equations in exponential term structure models has been well established we connect this result to the pricing of interest rate derivatives if the term structure model is exponential affine then there is a linkage between the bond pricing solution and the prices of many widely traded interest rate derivative securities our results apply to m factor processes with n diffusions and l jump processes the pricing solutions require at most a single numerical integral making the model easy to implement we discuss many options that yield solutions using the methods of the article

implied volatility functions in arbitrage free term structure models abstract we test six term structure models in the heath jarrow and morton 1992 class using eurodollar futures and options data from 1987 1992 we study the time series of implied interest rate volatilities from these models using one day lagged implied volatilities our one and two parameter models simultaneously price an average of 18 5 options each day with an average absolute error of one and a half to two basis points although the models fit well we document systematic strike price and time to maturity biases for all models we also implement simple trading strategies to test whether the models identify genuine biases

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

valuation of american call options on dividend paying stocks empirical tests abstract this paper examines the pricing performance of the valuation equation for american call options on stocks with known dividends and compares it with two suggested approximation methods the approximation obtained by substituting the stock price net of the present value of the escrowed dividends into the black scholes model is shown to induce spurious correlation between prediction error and 1 the standard deviation of stock return 2 the degree to which the option is in the money or out of the money 3 the probability of early exercise 4 the time to expiration of the option and 5 the dividend yield of the stock a new method of examining option market efficiency is developed and tested

entropy and the value of information for investors the prior free implications abstract the partial order of prior independent investment dominance cabrales et al 2013 strictly extends blackwell s order over information structures i provide a complete characterization for the case of two states and two signals

pricing interest rate derivative securities this article shows that the one state variableinterest rate models of vasicek 1977 and cox ingersoll and ross 1985b can be extended sothat they are consistent with both the current termstructure of interest rates and either the currentvolatilities of all spot interest rates or the currentvolatilities of all forward interest rates theextended vasicek model is shown to be very tracta ble analytically the article compares option pricesobtained using the extended vasicek model withthose obtained using a number of other models