estimation of the tenants benefits residing in public rental housing with unit size constraint in korea summary hicksian income equivalent variation ev has often been used to measure tenants benefits in evaluating public housing programmes a number of papers have so far attempted to apply hicksian ev under the implicit assumption of no constraint on unit size of public housing as a result overestimation of tenants benefits probably occurs where unit size constraints exist as in korea s public housing programme thus the purpose of the paper is to measure hicksian ev with the constraint in unit size of public housing by formulating a revised hicksian ev equation and comparing the result with constraint free cases it is found that hicksian ev with constraint in unit size decreases relative to that of the constraint free cases the extent of ev decrease depends on the income elasticity of demand for housing and the difference between the optimum consumption of public housing under rent support demand wanted and the actual constraint of unit size demand fulfilled

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

optimal fiscal policy under multiple equilibria abstract we study optimal fiscal policy in an economy where i search frictions create a coordination problem and generate multiple pareto ranked equilibria and ii the government finances the provision of a public good by taxing market activity the government must choose the tax rate before it knows which equilibrium will obtain and therefore an important part of the problem is determining how the policy will affect the equilibrium selection process we show that when the equilibrium selection rule is based on the concept of risk dominance higher tax rates make coordination on the pareto superior outcome less likely as a result taking equilibrium selection effects into account leads to a lower optimal tax rate

default risk and the effective duration of bonds default risk creates difficulties for fixed income portfolio managers in measuring a portfolio s exposure to interest rate risk it also heightens the anxiety of traders and arbitragers who are hedging their investments and it compounds financial institutions problem of matching assets and liabilities the consensus among researchers is that credit risk shortens the effective duration of corporate bonds this paper provides estimates of how much shorter durations become because of credit risk these estimates are based on observable data and easily estimated bond pricing parameters because the duration measures are taken with respect to movements in a common reference rate of interest they can be used with greater confidence than can other measures when attempting to compute the duration of a portfolio of bonds subject to varying degrees of credit risk

a bargaining model where parties make errors in a now classical paper nash 1953 studied the following bilateral bargaining game the two parties state their demands simultaneously if these are compatible with a feasible agreement each party gets the utility corresponding to his demand otherwise both parties get their conflict payoffs under quite general conditions this game has a continuum of equilibria any possible agreement which is both pareto optimal and individually rational corresponds to a particular equilibrium point recently the literature on sealed bid double auctions see e g leininger et al 1989 and matthews and postlewaite 1989 has extended nash s model to the case where each party has incomplete information about the other party s valuation a common feature of these models is that they lead to an even larger set of equilibria and thus to an aggravation of the nonuniqueness problem in the present paper we will show that this problem all but disappears if a different kind of uncertainty is introduced into nash s model viz if one assumes that the parties make errors in choosing their actions in the bargaining process this modification will be seen to imply the existence of an equilibrium which pareto dominates all other equilibria the rationale for our assumption lies in the implausibly precise coordination needed to induce equilibrium play in nash s original model each nontrivial equilibrium consists of a pair of demands that are just compatible even an arbitrarily small deviation in the wrong direction will reduce both players to their conflict payoffs by adding error terms to tne bids we get rid of this discontinuity and force the players to weigh their demands against the risk of breakdown thus our assumption could be seen as a way of accounting for the strategic uncertainty which seems practically unavoidable in a game where strategies are continuously variable more fundamentally the errors may be thought to reflect the presence of some uncertainty about the exact values of relevant parameters formally the errors will be modeled by letting a player s bid result from the addition of a stochastic term to his strategy the rules of nash s game will also be modified by allowing a surplus to be divided between the players while in nash s model the players get precisely what they have demanded even when demands are more than compatible we make the more general assumption that some fraction ranging between zero and one of the unclaimed surplus is divided between the parties according to a surplus partition rule a similar assumption is made in the above mentioned incomplete information models but the severe indeterminacy makes it impossible to assess its influence the above described equilibrium properties of our model hold for errors of arbitrary magnitude naturally it is particularly interesting to study the properties when errors go to zero in the special case where no surplus is divided we find a convergence to the

a pricing model for secondary market yield based floating rate notes subject to default risk abstract the purpose of this article is to price secondary market yield based floating rate notes smy frns subject to default risk smy frns are derivatives on the default free term structure of interest rates on the term structures for default risky credit classes and on the structure of a determined pool of bonds the main problem in smy frn pricing as compared to the pricing of standard interest rate or credit derivatives is market incompleteness which makes traditional no arbitrage pricing by replication fail in general smy frns are subject to two types of default risk first the smy frn issuer may go bankrupt direct default risk second the possibility of the bankruptcy of the issuers in the underlying pool has an influence on the smy frn coupons indirect default risk this article is the first one which provides a no arbitrage pricing model for smy frns with direct and indirect default risks it is also the first article applying incomplete market pricing methodology to smy frns

interest rate swaps abstract using quotations from two interest rate swap dealers with different credit ratings aaa and a we examine the effect of dealers credit reputations on swap quotations and bid offer spreads the aaa offer rates are significantly higher than the a offer rates and the aaa bid rates are significantly lower than the a bid rates we also document the relation between swap rates and par bond yields estimated from london interbank offered rate libor and bid rate libid data we identify some of the problems in testing the implications of swap pricing theory

depreciation of housing an empirical consideration of the filtering hypothesis a ssumptions regarding the depreciation ax rate for housing play an important role in the urban economics literature 1 the notion that houses filter down from higher to lower quality is prevalent in both academic and policy discussions of the nature of urban problems yet there has been no attempt to specify which depreciation rates are appropriate to these discussions and little empirical investigation of depreciation in housing this paper presents estimates of depreciation rates for housing which are appropriate to consideration of the filtering hypothesis estimates of these depreciation rates must be pursued differently from estimates of the depreciation rates for the aggregate capital stock of housing a brief review of previous studies which points out some of the difficulties which confound observation of depreciation rates is presented in section i section ii discusses specification and section iii describes the data and estimation technique used results are presented in section iv section v is a brief conclusion

option valuation with systematic stochastic volatility we use an extension of the equilibrium framework of rubinstein 1976 and brennan 1979 to derive an option valuation formula when the stock return volatility is both stochastic and systematic our formula incorporates a stochastic volatility process as well as a stochastic interest rate process in the valuation of options if the mean volatility and covariance processes for the stock return and the consumption growth are predictable our option valuation formula can be written in preference free form further many popular option valuation formulae in the literature can be written as special cases of our general formula in this paper we investigate the valuation of individual stock options when the volatility of the underlying stock return is stochastic and has a systematic component which is related to the stochastic volatility of the consumption growth or the market return such an investigation is timely and of significant interest because there is now a considerable amount of evidence that the volatility of stock prices is not only stochastic but that it is also highly correlated with the volatility of the market as a whole for example see black 1975 conrad kaul and gultekin 1991 jarrow and rosenfeld 1984 jorion 1988 and ng engle and rothschild 1992 furthermore empirical work by black and scholes 1972 gultekin rogalski and tinic 1982 and whaley 1982 has shown that the empirical biases inherent in the black scholes option prices are different for options on high and low risk stocks because low risk stocks are mainly large firm stocks with stochastic return volatilities that are highly correlated with the return volatility of the market and high risk stocks are mainly small firm stocks with a lessimportant systematic volatility component incorporating systematic volatility effects in option valuation models has the potential to reduce the empirical biases exhibited by prices computed from the black scholes formula we use equilibrium arguments that extend the consumption based representative agent framework of rubinstein 1976 brennan 1979 and stapleton and subrahmanyam 1984 to allow individual asset returns and the consumption growth to exhibit stochastic volatility in particular we permit the volatility of individual asset returns to consist of a systematic component that is related to the consumption or market volatility in addi

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

prepayment and the valuation of mortgage backed securities this paper puts forward a valuation framework for mortgage backed securities rather than imposing an optimal value minimizing call condition we assume that at each point in time there exists a probability of prepaying this conditional probability depends upon the prevailing state of the economy to implement our valuation procedure we use maximum likelihood techniques to estimate a prepayment function in light of recent aggregate gnma prepayment experience by integrating this empirical prepayment function into our valuation framework we provide a complete model to value mortgagebacked securities given an optimal value minimizing call policy a mortgage should never be called when its market value is less than its call price similarly a mortgage should be called if it is worth more than its call price however mortgagors often call their loans when the prevailing refinancing rate exceeds the contract rate on the loan dunn and mcconnell 1981 in addition some mortgagors do not call their loans when the loan s contract rate exceeds the prevailing refinancing rate the purpose of this paper is to put forward a valuation framework for mortgagebacked securities consistent with these stylized facts associated with mortgage prepayments the mortgagor s prepayment decision is integral to our valuation framework however we do not impose an optimal value minimizing call condition to price these securities rather we assume that at each point in time there exists a probability of prepaying this conditional probability depending upon the prevailing state of the economy by integrating this prepayment function into our valuation framework we provide a complete model to value mortgage backed securities to implement our valuation procedures we estimate a prepayment function given recent gnma prepayment experience we follow green and shoven 1986 by using a proportional hazards model to estimate the influence of various explanatory variables or covariates on the mortgagor s prepayment decision distinct from green and shoven we explicitly model the effects of seasoning as well as investigating the influence of interest cost savings from refinancing in addition we also consider the effects of lagged refinancing rates heterogeneity

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

pricing credit derivatives with rating transitions we present a model for pricing risky debt and valuing credit derivatives that is easily calibrated to existing variables our approach expands a classical term structure model to allow for multiple rating classes of debt the framework has two salient features 1 it uses a rating transition matrix as the driver for the default process and 2 the entire set of rating categories is calibrated jointly which allows arbitrage free restrictions across rating classes as a bond migrates among them we illustrate the approach by applying it to price credit sensitive notes that have coupon payments linked to the rating of the underlying credit

convertible bond underpricing renegotiable covenants seasoning and convergence we investigate the long standing puzzle on the underpricings of convertible bonds we hypothesize that the observed underpricing is induced by the possibility that a convertible bond might renegotiate on some of its covenants e g an imbedded put option in financial difficulties consistent with our hypothesis we find that the initial underpricing is larger for lower rated bonds the underpricing worsens if the issuer experiences subsequent financial difficulties however conditional on no rating downgrades our main empirical result shows that convertible bond prices do converge to their theoretical prices within two years this seasoning period is shorter for higher rated convertible bonds

the valuation of american options on bonds abstract we value american options on bonds using a generalization of the geske johnson geske r johnson h 1984 journal of finance 39 1151 1542 gj technique the method requires the valuation of european options and options with multiple exercise dates it is shown that a risk neutral valuation relationship rnvr along the lines of black scholes black f scholes m 1973 journal of political economy 81 637 659 model holds for options exercisable on multiple dates even under stochastic interest rates when the price of the underlying asset is lognormally distributed the proposed computational procedure uses the maximized value of these options where the maximization is over all possible exercise dates the value of the american option is then computed by richardson extrapolation the volatility of the underlying default free bond is modeled using a two factor model with a short term and a long term interest rate factor we report the results of simulations of american option values using our method and show how they vary with the key parameter inputs such as the maturity of the bond its volatility and the option strike price

a discrete time approach to arbitrage free pricing of credit derivatives this paper develops a framework for modelling risky debt and valuing credit derivatives that is flexible and simple to implement and that is to the maximum extent possible based on observables our approach is based on expanding the heath jarrow morton term structure model to allow for defaultable debt rather than follow the procedure of implying out the behavior of spreads from assumptions concerning the default process we work directly with the evolution of spreads the risk neutral drifts in the resulting model possess a recursive representation that facilitates implementation and makes it possible to handle path dependence and early exercise features without difficulty the framework permits embedding a variety of specifications for default we present an empirical example of a default structure which provides promising calibration results

residential hedonic models a rational expectations approach to age effects abstract this paper develops a rational expectations framework for interpreting the coefficient on age in a standard hedonic model the model demonstrates that there are two components to the age coefficient a pure cross sectional depreciation component and a demand side component that changes over time we also show that a constant quality price index with age constant can be estimated by using any repeat sales database that contains the year of construction or property age when fairfax county data are fitted to the model the time series of age coefficients is non stationary they change from negative in the early 1980s to positive in the late 1980s we infer that the demand side component dominated in the latter period

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

the determinants of asymmetric volatility volatility in equity markets is asymmetric contemporaneous return and conditional return volatility are negatively correlated in this article i develop an asymmetric volatility model where dividend growth and dividend volatility are the two state variables of the economy the model allows both the leverage effect and the volatility feedback effect the two popular explanations of asymmetry the model is estimated by the simulated method of moments i find that both the leverage effect and volatility feedback are important determinants of asymmetric volatility and volatility feedback is significant both statistically and economically the relationship between stock price and its volatility has long interested financial researchers empirically returns and conditional variance of next period s returns are negatively correlated that is negative positive returns are generally associated with upward downward revisions of the conditional volatility this empirical phenomenon is often referred to as asymmetric volatility in the literature see engle and ng 1993 zakoian 1994 and wu and xiao 1999 the presence of asymmetric volatility is most apparent during stock market crashes when a large decline in stock price is associated with a significant increase in market volatility formal econometric models have been developed by researchers to capture asymmetric volatility for example asymmetric arch models of nelson 1991 and glosten jagannathan and runkle 1993 have been found to significantly outperform their counterparts that do not accommodate the asymmetry moreover continuous time stochastic volatility models generally produce estimates of a negative correlation between return and return volatility bakshi cao and chen 1997 and bates 1997 for a review of the literature on asymmetric volatility see bekaert

an economic analysis of interest rate swaps interest rate swaps a financial innovation in recent years are based upon the principle of comparative advantage an interest rate swap is a useful tool for active liability management and for hedging against interest rate risk the purpose of this paper is to provide a simple economic analysis of interest rate swaps alternative uses of and the appropriate valuation procedure for interest rate swaps are described the significant increase in both the levels and the volatilities of market interest rates since the late 70 s has resulted in substantially higher interest rate risks faced by business firms and financial institutions the problem and consequences of interest rate risk exposure are particularly serious for firms in which the duration of assets does not match the duration of the liabilities for instance most financial institutions and many corporations financed long term fixed rate assets with short term floating rate liabilities such firms lose when the shortterm interest rates in the market rise unexpectedly because for given fixed rates of return on their assets the short term interest costs that they have to pay rise with the market interest rates conversely these firms gain from an unexpected decline in short term market interest rates in recent years the introduction and the development of new financial products in the capital markets such as interest rate futures interest rate options and interest rate swaps represent logical responses to the increased need to reduce firms exposure to interest rate risk

an alternative valuation model for contingent claims abstract this paper studies contingent claim valuation in a lucas type exchange economy the derived fundamental valuation equation differs from its cox ingersoll ross production economy counterpart in that it is expressed in terms of the direct utility function and an exogenous output process thus offering superior tractability we apply our approach to derive closed form solutions for bond bond option individual stock and stock option prices under a more general setting than allowable in the cox ingersoll ross framework the resulting interest rate and stock price dynamics are empirically plausible moreover our stock option pricing formula with stochastic volatility and interest rates can reconcile certain puzzling empirical regularities including the volatility smile

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

bond and stock returns in a simple exchange model this paper studies asset pricing in a general equilibrium representative agent exchange model the assumptions of isoelastic period utility and lognormal endowment allow the derivation of closed form solutions for asset returns without restricting the serial correlation of the log endowment risk premiums on stocks and real bonds are found to be simple functions of relative risk aversion the variance of the log endowment innovation and the weights in the moving average representation of the log endowment the paper analyzes the sign of term premiums the size of the equity premium and the effect of taste shocks on asset prices

spanning and completeness with options the role of ordinary options infacilitating the completion of securities markets is examined in the context of a model of contingent claims sufficiently general to accommodate the continuous distributions of asset pricing theory and option pricing theory in this context it is shown that call options written on a single security approximately span all contingent claims written on this security and that call options written on portfolios of call options on individual primitive securities approximately span all contingent claims that can be written on these primitive securities in the case of simple options explicit formulas are given for the approximating options and porfolios of options these results are applied to the pricing of contingent claims by arbitrage and to irrelevance propositions in corporate finance

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

hedonic pricing with redevelopment options a new approach to estimating depreciation effects abstract the standard hedonic model of durable assets is a special case of a more general model that contains two additive terms 1 use value of the existing hedonic vector and 2 the value of the option to reconfigure hedonic characteristics one empirical implication is that the two parts of value are related e g use value increases with interior area whereas option value decreases with intensity the ratio of structure value divided by land value increases in building age reduce use value but increase option value data from greenwich connecticut indicate that intensity has the expected negative effect coefficients on building age are shown to be better measures of depreciation when intensity variables are included in the regression

the valuation and analysis of adjustable rate mortgages securities whose payoffs depend upon the actual path of the underlying state variables pose problems for standard backward valuation techniques in this paper we show that there is a method of solving such problems that requires the addition of but a single auxiliary state variable the technique is illustrated by examining an adjustable rate mortgage arm with yearly and lifetime caps the arm amortizes and can be prepaid at any time we also handle other prominent features of arms including points and teasers this method of using a single auxiliary state variable to handle path dependencies is a general one applicable to more complex models of the economic environment and to other financial contracts

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

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

efficient funds for meager asset spaces abstract for finite state space models of securities markets there exists a portfolio of traded securities on which conventional call or put options suffice to complete securities markets 28 moreover these efficient funds are generic 2 18 the objective of this paper is to present a class of larger models of securities markets for which existence and genericity of efficient funds obtains conditions abstracted from the finite state space case serve to define a meager asset space it is shown that for meager asset spaces satisfying a separability condition efficient funds exist and are generic in a category theoretic sense

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

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

age time vintage and price indexes measuring the depreciation pattern of houses age time and vintage are key determinants of house prices yet they cannot be included together linearly or as dichotomous variables in hedonic regressions as construction time age of house sale time we introduce a method where the estimates of the age time and vintage effects on prices are obtained in a flexible manner without requiring us to specify a pre determined functional form for either of these variables applying our method to dutch data we find that the estimated depreciation pattern over the life of houses does not follow the functional forms typically specified for the age of houses in hedonic regressions

floating rate notes and immunization as shown in several of those papers the appropriate immunizing duration is a function of the assumption regarding the stochastic process describing the man ner in which the term structure of interest rates changes the theory has been well developed for ordinary bonds this paper extends the existing literature on duration and immunization to a different type of security the floating rate note the floating rate note frn is a debt security in which coupon payments adjust according to changes in interest rates the coupons are closely tied to cur rent short term spot rates with the result that prices of frns are always at or near par value they became popular in this country in 1974 with a citieorp issue

fixed versus variable rate loans this paper discusses the nature of fixed and variable loan contracts and derives the conditions which determine the optimal quantity of each the results indicate that the payoff functions are quite different and dependent upon the project financed the appropriate conditions for the allocation of loan terms to a set of borrowers are then developed finally the analysis derives the optimal portfolio frontier and risk return trade off for the banking firm here it is demonstrated that the solution is unlikely to be at a point of zero interest rate risk

estimating capital asset price indexes this paper introduces an improved procedure for estimating capital asset price indexes we jointly estimate conventional hedonic and repeat sales models via maximum likelihood procedures thereby taking advantage of the unique features of the individual models and using all the data that are available our model captures depreciation within the repeat sales model and accounts for serial correlation in hedonic data the improvement in precision obtained by estimating the joint model is illustrated by smaller standard errors and narrower interval estimates for the resulting price indexes we also carry out a simulation experiment that shows estimation errors significantly smaller using the joint estimation technique than either of the individual models or the gls estimator of case and quigley 1991

a bargaining model based on the commitment tactic abstract this paper studies a one shot simultaneous move bargaining game each bargainer makes a partial commitment a share of the unit size cake that she would like to get which can later be revoked at some cost to the player the payoffs are defined in part by the nash bargaining solution where the feasible utility set is affected by the players partial commitments under certain assumptions on the two cost of revoking functions we establish that the model has a unique nash equilibrium it is shown that a player s equilibrium share of the cake is strictly increasing in her marginal cost of revoking a partial commitment an application of our model selects a unique equilibrium in nash s demand game journal of economic literature classification number c78

forward contracts and futures contracts abstract this paper provides a detailed discussion of the similarities and differences between forward contracts and futures contracts under frictionless markets and continuous trading simple arbitrage arguments are invoked to value forward contracts to relate forward prices and spot prices and to relate forward prices and futures prices we also argue that forward prices need not equal futures prices unless default free interest rates are deterministic

the analysis and valuation of interest rate options abstract this paper provides a simple alternative model for the valuation of european style interest rate options the assumption that drives the hedging argument in the model is that the forward prices of bonds follow an arbitrary two state process later this assumption is made more specific by postulating that the discount on a zero coupon bond follows a multiplicative binomial process in contrast to the black scholes assumption applied to zero coupon bonds the limiting distribution of this process has the attractive features that the zero bond price has a natural barrier at unity thus precluding negative interest rates and that the bond price is negatively skewed the model is used to price interest rate options in general and interest rate caps and floors in particular the model is then generalized and applied to european style options on bonds a relationship is established between options on swaps and options on coupon bonds the generalized model then provides a computationally simple formula closely related to the black scholes formula for the valuation of european style options on swaps

auction failures and the market for auction rate securities abstract the market for auction rate securities ars made headlines during the second week of february 2008 when auctions at which the bonds interest rates reset experienced a wave of failures contrary to headlines that attribute the failures to a frozen market or investors irrationality we find that 1 even at their height less than 50 of ars experienced auction failures 2 the likelihood of auction failure was directly related to the level of the bonds maximum auction rates 3 the implied market clearing yields of bonds with failed auctions were significantly above their maximum auction rates and 4 ars yields were generally higher than yields of various cash equivalent investment alternatives we infer that investors priced the possibility of auctions failures into ars yields and rationally declined to bid for bonds for which required market yields exceeded their maximum auction rates

measuring asset values for cash settlement in derivative markets hedonic repeated measures indices and perpetual futures two proposals are made that may facilitate the creation of derivative market instruments such as futures contracts cash settled based on economic indices the first proposal concerns index number construction indices based on infrequent measurements of nonstandardized items may control for quality change by using a hedonic repeated measures method an index number construction method that follows individual assets or subjects through time and also takes account of measured quality variables the second proposal is to establish markets for perpetual claims on cash flows matching indices of dividends or rents such markets may help us to measure the prices of the assets generating these dividends or rents even when the underlying asset prices are difficult or impossible to observe directly a perpetual futures contract is proposed that would cash settle every day in terms of both the change in the futures price and the dividend or rent index for that day this paper concerns problems in the measurement of asset values or present values problems that if solved may facilitate the creation of new hedging vehicles new cash settled futures options and other derivative financial products the greatest components of world wealth are not hedgeable at all and

noisy equilibrium selection in coordination games abstract by perturbing symmetric coordination games a la bryant bryant j 1983 quarterly journal of economics 98 525 528 we derive unique solutions the noise proof equilibria our results agree with the experimental findings in van huyck et al van huyck j b r c battalio and r o beil 1990 american economic review 80 234 248 and have an interesting connection with the notion of potential we also briefly discuss median games

a path dependent approach to security valuation with application to interest rate contingent claims abstract the last two decades have witnessed a tremendous growth in the volume of assets and liabilities whose cash flows depend in a variety of ways on the path of interest rates some of these including floating rate notes and swap agreements contractually base cash flows on current and past interest rates and contain caps floors and other more complex features others including mortgages many corporate bonds and time deposits are fixed rate instruments that contain embedded options such as those to prepay call or withdrawal the irregular exercise of these options causes cash flows to vary as time proceeds and interest rates rise or fall this paper develops a state contingent claims technique for valuing such securities it is derived from the option based model of breeden and litzenberger 1978 using the transition matrix approach of banz and miller 1978 particular attention is paid to valuing so called path dependent securities whose contemporaneous cash flows depend on the historical path of interest rates as well as their current level a detailed example is provided in which an adjustable rate mortgage is valued under a variety of economic and security specific assumptions

the impact of credit risk on the pricing and duration of floating rate notes abstract this paper describes the pricing and duration of floating rate instruments when the borrower s credit risk has changed since the note was issued in these cases the value of the note on repricing dates equals par plus the present value of the basis point change in credit risk as a result the duration of a floater for which credit risk has increased fallen is less than greater than the time to reset and may even be negative positive correlation between credit risk and interest rates will ceteris paribus increase the duration of the floater

the pricing of default free interest rate cap floor and collar agreements the paper focuses on the valuation of caps floors and collars in a contingent claim framework under continuous time these instruments are interpreted as options on traded zero coupon bonds the bond prices themselves are used as the underlying stochastic variables this has the advantage that we end up with closed form solutions which are easy to compute special attention is devoted to the choice of the stochastic process appropriate for the price dynamics of the underlying zero coupon bonds the increased volatility of interest rates and the introduction of numerous variable rate instruments have led to a more intensive use of highly sophisticated risk hedging tools among them interest rate caps floors and collars have recently gained a growing popularity an interest rate cap is an agreement between the provider of the cap and a borrower to limit the borrower s floating interest rate to a specific level for a given period of time to be more precise the borrower selects a reference rate to hedge e g libor a period of time to hedge e g 5 years and the level of protection desired e g a ceiling of 200 basis points above the current level of the libor if the market rate exceeds the ceiling rate the cap provider will make payments to the buyer sufficient to bring his rate back to the ceiling when the market rate is below the ceiling no payment is made

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

stochastic volatility movements in short term interest rates and bond option values abstract two classes of models for pricing interest rate contingent claims are compared the first contains standard single factor models while the second includes stochastic volatility variants of these it is demonstrated that incorporating stochastic volatility significantly improves the ability of the models to fit movements in short term interest rates the fundamental reason for this is that standard univariate models do not generate enough conditional heteroskedasticity the models are also compared on the basis of bond option prices when each is constrained to fit a particular yield curve the results suggest that stochastic volatility models will typically produce lower option values than corresponding single factor models particularly for near the money to deep out of the money options this is because estimated historical volatilities are significantly lower under stochastic volatility when single factor models are constrained to the same level of volatility as implied by stochastic volatility models in most cases the pricing differences become minor

fixed income linked life insurance policies with minimum guarantees pricing models and numerical results abstract we propose a pricing model for life insurance policies in which the benefits are linked to the performance of a portfolio of interest rate sensitive assets reference fund and a minimum guarantee provision is present the model is cast in the celebrated term structure framework developed by cox ingersoll and ross 1985 as for the behaviour of the investment component we analyse two polar cases in the first one the payments due on the reference fund when the contract is still alive are not reinvested while in the second case we propose a reinvestment policy we show how to obtain a closed form solution for the single premium in the no reinvestment case and how to implement a simulation approach to calculate numerically the single premium in the reinvestment case we illustrate our analysis with numerical results that help in understanding the comparative static properties of the models proposed

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

a multivariate repeat sales model for estimating house price indices abstract in the case shiller repeat sales housing price index method the effect of age is embedded into the model s estimates of the time effect this paper develops a multivariate repeat sales model that is able to separately control for the effects of age and time as well as other assets with changing attributes in the construction of price indices the ability to control for an asset s pattern of depreciation should lead to a superior price index when compared to a traditional repeat sales price index the degree of bias between the traditional and multivariate repeat sales models is dependent on the level of price change with respect to age with minimal additional assumptions a pure time time varying age constant price index and a depreciation time constant age varying price index can be constructed using the multivariate repeat sales framework

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

bargaining with revoking costs abstract a simple two stage bilateral bargaining game is analyzed the players simultaneously demand shares of a unit size pie if the demands add up to more than one the players simultaneously choose whether to stick to their demand or accept the other s offer while both parties sticking to their offers leads to an impasse accepting a lower share than the original demand is costly for each party the set of pure strategy subgame perfect equilibria of the game is characterized for continuously differentiable payoff and cost functions strictly increasing in the pie share and the amount conceded respectively higher cost functions are shown to improve bargaining power the limit equilibrium prediction of the model as the cost functions are made arbitrarily high selects a unique equilibrium in the nash demand game that corresponds to a proportional bargaining solution of kalai 1977

pricing contingent claims under interest rate and asset price risk this paper presents a general framework for pricing contingent claims under interest rate and asset price uncertainty the framework extends ho and lee s 1986 valuation framework by allowing not only future interest rates but also future asset prices to depend on the current term structure of interest rates the approach is shown to provide risk neutral valuation relationships that are consistent with the initial term structure of interest rates and can be applied to valuation of a broad class of assets including stock options convertible bonds and junk bonds

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

an exact bond option formula this paper derives a closed form solution for european options on pure discount bonds assuming a mean reverting gaussian interest rate model as in vasicek 8 the formula is extended to european options on discount bond portfolios

on the valuation of american call options on stocks with known dividends both the roll and the geske equations for the valuation of the american call option on a stock with known dividends are incorrectly specified this note presents the corrected valuation formula explains the misspecifications and provides a numerical example

spanning and completeness in markets with contingent claims abstract we characterize financial markets that are complete or that contain portfolios which span all measurable functions of a particular asset payoffs either finite and infinite dimensional these results are then employed to describe the extent to which options trading is sufficient to complete markets to investigate the existence of efficient funds and to establish the extent of market completeness required to ensure the unanimity and irrelevance results of modern corporation finance

housing depreciation and aging bias in the consumer price index i use hedonic regression methods to estimate average rental housing physical depreciation for areas of the united states i estimate downward quality bias of the u s consumer price index cpi caused by rental housing physical depreciation and i develop methods to correct the cpi for such aging bias my physical depreciation estimates imply that recent percentage changes in the u s cpi shelter cost indexes are downward biased by 3 to 4 annually such bias is nonnegligible because recent annual changes in the cpi shelter cost indexes have ranged between 3 5 and 6 8 for various regions my results also imply that rent controlled housing has depreciated faster than other rental housing

microeconomic estimates of housing depreciation measuring economic depreciation in residential real estate is important for deepening our understanding of housing market behavior and for assessing a variety of public policies independent estimates of depreciation rates for many metropolitan areas provide a rich data base for analyzing the interaction between structure depreciation and for example suburbanization also public policies such as rent control and tax incentives for construction could be better evaluated and designed with improved estimates of depreciation for example in an attempt to stimulate construction in 1981 congress cut allowable depreciation for tax purposes from something like 30 years to 15 years then in 1986 in response to apparent over building congress raised the depreciation rate back to 27 5 years better estimates of depreciation rates could have contributed to better targeting of incentives a literature survey indicates significant variation in estimates of depreciation rates for residential real estate the variation in reported results seems to be due to differences in the definition of depreciation employed in the models and data used to estimate depreciation rates and in some cases the condition of the real estate market examined at the time of the study a primary objective of this paper is to establish that rates of economic depreciation vary spatially by using the same hedonic model and representative data from each of 59 metropolitan areas we are able to eliminate differences in models and data as the only source of variation in estimated depreciation rates and attribute some of the observed variation to differences in housing markets this paper reports estimates of metropolitan area specific rates of economic depreciation for residential real estate obtained using the hedonic pricing methodology separate h donic equations were estimated for owneroc upied and renter occupied properties for each of 59 metropolitan areas with the exception of variables that identified particular locations within the urban area the same hedonic equation was used to estimate tenure spec f c depreciation rates that is the same hedonic specification was used for each of the 59 metropolitan areas to estimate depreciation rates for owner occupied and for renteroccupied housing we define economic depreciation to be the decline in asset price or shadow price due to aging hulten and wykoff 1981 85 our hedonic equation for renter occupied housing therefore examines how the current market price of the flow of rental housing services varies with dwelling age rents might be expected to change as the flow of housing services decreases as the unit deteriorates the market value of owner occupied residential real estate on the other hand reflects the present value of future housing services as well as current services hence changes in any of the determinants of present value will have a significant impact on the current market value of owner occupied housing

option theory and floating rate securities with a comparison of adjustable and fixed rate mortgages this article demonstrates how to value floating rate securities in particular adjustable rate mortgages in the presence of default the problem is not a straightforward one since endogenous termination default and prepayment necessitates solution by backward procedures but caps on the floating rate then create path dependencies the solution is to introduce an artificial state variable the past contract rate in addition to the natural stochastic variables the interest and the house price process with this technique a numerical investigation of the properties of defaultable adjustable rate mortgages is provided in all cases a comparison is made with standard fixed rate mortgages coauthors are donald c keenan walter j muller iii and james f epperson copyright 1993 by university of chicago press

bargaining with noisy delegation principals delegate to an agent in the context of the nash bargaining model but communicate instructions to their agents imperfectly numerical methods are used to find a unique equilibrium in the principals strategies agents fail to agree with a positive probability invoking a secondary mechanism for the resolution of disputes such as arbitration comparative statics are informative the risk sensitivity of the nash bargaining solution is mitigated but not eliminated as uncertainty goes to zero a stable unique limiting equilibrium is identified from the set of multiple equilibria identified in a model in which principals delegate without trembles

measuring changes in local house prices an empirical investigation of alternative methodologies abstract this paper investigates whether reliable house price indices can be constructed using a limited set of descriptive variables on a large number of observations four primary index methods are compared 1 median sale price 2 restricted hedonic 3 repeat sales and 4 the assessed value technique the paper examines the precision and accuracy of each of the alternative indices

the relation between forward prices and futures prices abstract this paper consolidates the results of some recent work on the relation between forward prices and futures prices it develops a number of propositions characterizing the two prices these propositions contain several testable implications about the difference between forward and futures prices many of the propositions show that equilibrium forward and futures prices are equal to the values of particular assets even though they are not in themselves asset prices the paper then illustrates these results in the context of two valuation models and discusses the effects of taxes and other institutional factors

pricing interest rate options in a two factor cox ingersoll ross model of the term structure solutions are presented for prices on interest rate options in a two factor version of the cox ingersoll ross model of the term structure specific solutions are developed for caps on floating interest rates and for european options on discount bonds coupon bonds coupon bond futures and euro dollar futures the solutions for the options are expressed as multivariate integrals and we show how to reduce the calculations to univariate numerical integrations which can be calculated very quickly the two factor model provides more flexibility in fitting observed term structures and the fixed parameters of the model can be set to capture the variability of the term structure over time article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

discrete time valuation of american options with stochastic interest rates we develop an arbitrage free discrete time model to price american style claims for which domestic term structure risk foreign term structure risk and currency risk are important this model combines a discrete version of the heath jarrow and morton 1992 term structure model with the binomial model of cox ross and rubinstein 1979 it converges weakly to the continuous time models in amin and jarrow 1991 1992 the general model is path dependent and can be implemented with arbitrary volatility functions to value claims with maturity up to five years the model is illustrated with applications to long dated american currency warrants and a cross rate swap from the quanto class article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

the volatility of short term interest rates an empirical comparison of alternative models of the term structure of interest rates we estimate and compare a variety of continuous time models of the short term riskless rate using the generalised method of moments we find that the most successful models in capturing the dynamics of the short term interest rate are those that allow the volatility of interest rate changes to be highly sensitive to the level of the riskless rate a number of well known models perform poorly in the comparisons because of their implicit restrictions on term structure volatility we show that these results have important implications for the use of different term structure models in valuing interest rate contingent claims and in hedging interest rate risk

real and nominal interest rates a discrete time model and its continuous time limit i provide a general equilibrium theory of the term structure of real interest rates in a discrete time economy i derive the prices for one period and two period real bonds and a simple recursive formula for general k period bonds and prove that the price formula with appropriately specified parameters converges to that of the cox ingersoll and ross model 1985 in addition i consider the behavior of nominal bond prices in a partial equilibrium setting in which an exogenous price level process is correlated with the real economy finally i provide an illustrative empirical investigation of the model the results indicate a significant correlation between the price level and the growth rate of consumption which does not support the money nuetrality assumption underlying cox ingersoll and ross s nominal bond prices and related empirical studies such as gibbons and ramaswamyu 1992 heston 1991 and pearson and sun 1991 article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

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