an equilibrium debt option pricing model in discrete time abstract in this paper we develop a discrete time binomial model for pricing options on default free debt securities the model is a single factor or spot rate model in which an arbitrage free term structure is developed and used to price any interest rate contingent claim the model differs from other work in this area in that the model is straightforward to program and use and is not bound by a restrictive equilibrium concept such as the expectations hypothesis the paper demonstrates various properties of the model and demonstrates how information from the existing term structure can be used to parameterize the model

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

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

an exclusive country club the effects of the gatt on trade 1950 94 using data on bilateral trade flows from both before and after world war ii this article examines the impact of the general agreement on tariffs and trade on trade between its members and on the system of interwar trade blocs it shows that the distribution of the benefits produced by the gatt was much more highly skewed than conventional wisdom assumes the article also shows that the gold commonwealth reichsmark and exchange control blocs exerted positive and significant effects on trade after 1945 the authors attribute these effects to the bargaining protocol that governed successive rounds of gatt negotiations the signature element of the postwar trade regime

power politics and international trade r recent literature attributes the relative scarcity of open international markets to the prisoner s dilemma structure of state preferences with respect to trade we argue that the prisoner s dilemma representation does not reflect the most critical aspect of free trade agreements in an anarchic international system namely their security externalities we consider these external effects explicitly doing so leads us to two conclusions 1 free trade is more likely within rather than across political military alliances and 2 alliances are more likely to evolve into free trade coalitions if they are embedded in bipolar systems than in multipolar systems using data drawn from an 80 year period beginning in 1905 we test these hypotheses the results of the analysis make it clear that alliances do have a direct statistically significant and large impact on bilateral trade flows and that this relationship is stronger in bipolar rather than in multipolar systems in the early 1970s students of international relations began what would become a long and heated debate about the political correlates of open international markets recently however an important element of consensus has begun to emerge most contributors to this debate now seem to agree that the prisoner s dilemma structure of state preferences with respect to trade explains the relative dearth of open international markets here we argue that what has become the standard prisoner s dilemma representation neglects the most critical aspect of free trade agreements in the anarchic international system namely their security externalities we consider these external effects explicitly in order to do so we construct and analyze a simple game theoretic model the results of this analysis demonstrate that tariff games between allies differ systematically from those played between actual or potential adversaries these differences imply that free trade is more likely within rather than across political military alliances however our analysis also suggests that the evolutionary prospects of alliances vary those that are the products of bipolar systems are more likely to evolve into free trade coalitions than are their multipolar counterparts less credible exit threats and clearer responsibilities for alliance stability explain the advantage of a bipolar system we test this argument using data drawn from an 80 year period beginning in 1905 the empirical analysis supports our argument it demonstrates that alliances have a direct statistically significant and large effect upon bilateral trade moreover it shows that on average alliances have a much stronger effect on trade in a bipolar than in a multipolar world 2

generalising interest rate duration with directional derivatives direction x and applications conventional or fisher weil duration is an ordinary derivative that measures the response of portfolio value to marginal parallel shifts in the term structure while other proposed measures are generally specific to particular interest rate processes in this paper we show that portfolio responses to arbitrary shifts in the term structure may be handled by the use of frechet or directional derivatives presenting a simple algorithm for the directional derivative of a fixed interest portfolio viewed as a set of cash flows for a given portfolio one can locate the most sensitive areas along the term structure by computing a function or profile direction x that gives the term structure movement to which the portfolio is most exposed immunisation techniques can be based on choosing ancillary assets that ensure that the portfolio directional derivative is zero or as close to zero as possible this generalises approaches based on factor models of the term structure the analysis is applied to both continuous and discrete time

differential taxation and the equilibrium structure of interest rates equilibrium coupon bond pricing relationships given differential taxation are derived under uncertainty assuming that both corporate and municipal bonds were originally issued at par but are currently selling at a discount the impact of differential taxation upon the term structure and coupon structure of interest rates is investigated while the tax structure of interest rates is uniquely characterized differential taxation substantially alters the prevailing equilibrium structure of interest rates

bilateral treaties and the most favored nation clause the myth of trade liberalization in the nineteenth century textbook accounts of the anglo french trade agreement of 1860 argue that it heralded the beginning of a liberal trading order this alleged success holds much interest from a modern policy point of view for it rested on bilateral negotiations and most favored nation clauses with the help of new data on international trade the ricardo database the authors provide empirical evidence and find that the treaty and subsequent network of mfn trade agreements coincided with the end of a period of unilateral liberalization across the world they also find that it did not contribute to expanding trade at all this is contrary to a deeply rooted belief among economists economic historians and political scientists the authors draw a number of policy lessons that run counter to the conventional wisdom and raise skepticism toward the ability of bilateralism and mfn arrangements to promote trade liberalization

parameter estimation in stochastic scenario generation systems abstract scenario analysis offers an effective tool for addressing the stochastic elements in multi period financial planning models critical to any scenario generation process is the estimation of the input parameters of the underlying stochastic model for economic factors in this paper we propose a new approach for estimation known as the integrated parameter estimation ipe this approach combines the significant features of other well known estimation techniques within a non convex multiple objective optimization framework with the objective weights controlling the relative importance of the features we solve the non convex optimization problem using adaptive memory programming a variation of tabu search based on a short interest rate model using uk treasury rates from 1980 to 1995 the integrated approach compares favorably with maximum likelihood and the generalized method of moments we also evaluate performance with towers perrin s cap link scenario generation system

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

the corn model gluts and surplus value the controversy over ricardo s corn model has focused on the interpretation of his early writings here ricardo s later use of a corn model example in his dispute with malthus over gluts is discussed malthus s own use of a corn model table in attempting to justify his use of a labour commanded measure of value is analysed it is shown that he calculates what marx was to describe as surplus value from the physical conditions of production and the real wage copyright 2006 oxford university press

stochastic volatility option pricing this paper examines alternative methods for pricing options when the underlying security volatility is stochastic we show that when there is no correlation between innovations in security price and volatility the characteristic function of the average variance of the price process plays a pivotal role it may be used to simplify fourier option pricing techniques and to implement simple power series methods we compare these methods for the alternative mean reverting stochastic volatility models introduced by stein and stein 1991 and heston 1993 we also examine the biases in the black scholes model that are eliminated by allowing for stochastic volatility and we correct some errors in the stein and stein 1991 analysis of this issue empirical evidence on underlying asset prices and on their derivatives strongly suggests that asset price volatility is stochastic the pricing of options under this condition is therefore an important problem in this paper we study alternative option pricing methods that account for stochastic volatility we are particularly concerned with power series methods which we show to be quite accurate and easy to implement for alternative volatility specifications we point out their relation with recently proposed exact methods this permits a precise assessment of the approximation involved in the simple power series approach and of the impact of stochastic volatility on option prices following garman 1976 stochastic volatility option prices must satisfy a bivariate fundamental partial differential equation pde in the two state variables security price and volatility since volatility is not spanned by assets in the econ omy the volatility risk may not be eliminated by arbitrage methods therefore its market price explicitly enters into the pde the associated risk premium is owen graduate school of management vanderbilt university nashville tn 37203 and universita di siena facolta di scienza economiche e bancarie 53100 siena italy respectively part of this research was supported from a grant from the dean s fund and the financial markets research center at the owen school of management vanderbilt university some of this research was completed while roma was visiting the anderson graduate school of management ofthe university of california at los angeles we thank participants of the finance accounting and economics workshop at the owen school of management vanderbilt university for useful comments we appreciate the suggestions of roger huang craig lewis ron masulis and walter torous we thank joanne ball for editorial

valuation and analysis of collateralized mortgage obligations this study develops a model for the valuation of collateralized mortgage obligations cmos the model is based on a two factor model of the term structure of interest rates and embeds an empirically estimated mortgage prepayment function the model is used to analyze various cmo tranches including standard sequential pay fixed rate tranches planned amortization class pac tranches targeted amortization class tac tranches floating rate tranches interest only io and principal only po tranches z bonds and residuals the results of this analysis illustrate the sensitivity of the various tranches to differences in cmo structure changes in interest rates the characteristics of the underlying collateral and mortgage prepayments

politics institutions and trade lessons of the interwar era recent studies cast doubt on the value added of international trade agreements and institutions using a new data set that consists of about 35 000 observations on the trade of fifty four nations between 1919 and 1938 we examine whether this skepticism also applies to the infamous interwar trade blocs traditional historical accounts attribute to them a large drop in international trade and a rise in the political tensions that would later erupt in world war ii in this study we show that no bloc raised trade among its members as a whole or decreased trade between members and nonmembers however our findings are not wholly consistent with the skepticism recent studies express we argue that conflicts of interest among the great powers encouraged the emergence of the bloc system and also gave rise to intrabloc trade shifts consistent with the political interests of their great power hubs the political military alliances these conflicts created also reduced trade between their signatories and we argue more generally that the causal chain runs from politics to trade as a result measuring only the effect of agreements and institutions on aggregate trade between their members can generate inaccurate estimates of their value added

trade blocs currency blocs and the reorientation of world trade in the 1930s we analyze the impact of commercial and financial policies on the reorientation of trade in the 1930s we report evidence that commercial policies attenuated prior connections between income growth and trade and that exchange rate instability marginally discouraged international trade in contrast the tendency toward regionalization commonly ascribed to the formation of trade and currency blocs was already evident to a considerable extent prior to the regional policy initiatives of the 1930s this reorientation is more properly attributed to ongoing historical forces such as commercial and financial links between countries forged over many years

did colonization matter for growth an empirical exploration into the historical causes of africa s underdevelopment we investigate the impact of 20th century european colonization on growth we 5nd that colonial heritage as measured by the identity of the metropolitan ruler and by the degree of economic penetration matters for the heterogeneity of growth performances in africa colonial indicators are correlated with economic and sociopolitical variables that are commonly employed to explain growth and there are growth gains from decolonization colonial indicators also add signi5cant explanatory power to worldwide growth regressions and are correlated with the sub saharan africa and the latin america dummies c

the information content in bond model residuals an empirical study on the belgian bond market abstract we estimate daily vasicek cir and spline models on belgian data and compare the trading profits that can be made on the basis of their residuals abnormal returns measured using three different benchmarks are negatively related to once and twice lagged mispricing buying underpriced bonds and especially selling overpriced bonds yields significant abnormal returns even when the trade is delayed by up to five days after observing the mispricing the traditional spline model overfits the data and is least able to detect mispricing large model residuals are more likely to be the result of model misspecification or estimation than are small or medium sized residuals

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

business cycles in international historical perspective business cycle models seek to answer the question of why economies go through cycles of recession and recovery or boom and bust any theory of the business cycle makes two sorts of claims what shocks are most important in disturbing the economy and what economic structure is necessary for propagating these shocks for example one common explanation of business cycles begins with monetary shocks and then seeks to explain why monetary shocks are not purely neutral as neoclassical theory would have it and instead have real effects at least in the short term early models in this vein were often implicitly or explicitly based on the proposition that markets do not clear continuously early equilibrium real business cycle theories instead emphasized the importance of real shocks especially to technology which may cause socially efficient fluctuations even when markets are always in equilibrium more recent models have attempted to marry the equilibrium approach to macroeconomics with the substantive keynesian ideas that money is not neutral and that economic fluctuations are costly new keynesian theories of the business cycle admit the possibility of a number of economic shocks including monetary and technology shocks but then focus on explaining how nominal price rigidities within the economy can turn these shocks into recessions or booms other models show that business cycles driven by keynesian animal spirits are consistent with rigorous microfoundations and rational expectations seeking empirical evidence for and against these various approaches we turn business cycle theories loose on perhaps the greatest macroeconomic laboratory

golden fetters the gold standard and the great depression barry eichengreen oxford university press new york 1992 pp xix 448 39 95

the delivery option on forward contracts a comment livingston contends that short futures long cash traders can eliminate the potential costs of the quality option through use of a dynamic trading strategy it is proposed here that if this is possible then futures prices will never reach a stable equilibrium alternatively if livingston s argument is flawed then no risk free arbitrage opportunities are likely to be available to either short cash long futures or long cash short futures traders under such conditions futures prices will reach an equilibrium when the expected return and risk of each type position are equally attractive

are mortgage lenders guilty of the housing bubble a uk perspective existing theoretical models of house prices and credit rely on continuous rationality of consumers an assumption that has been frequently questioned in recent years meanwhile empirical investigations of the relationship between prices and credit are often based on national level data which is then tested for structural breaks and asymmetric responses usually with subsamples meen 1999 argues that local markets are structurally different from one another and so the coefficients of any estimated housing market model should vary from region to region we investigate differences in the price credit relationship for 12 regions of the uk markov switching is introduced to capture asymmetric market behaviours and turning points results show that credit abundance had a large impact on house prices in greater london and nearby regions alongside a strong positive feedback effect from past house price movements this impact is even larger in greater london and the south east of england when house prices are falling which are the only instances where the credit effect is more prominent than the positive feedback effect a strong positive feedback effect from past lending activity is also present in the loan dynamics furthermore bubble probabilities extracted using a discrete kalman filter neatly capture market turning points

the stochastic properties of term structure movements abstract the aim of this paper is to identify a stationary statistical model for treasury bill discount changes we find that the sample variance of discount changes are non stationary over short differencing intervals but stabilize as the intervals increase to quarterly or semi annual periods this result has important implications for pricing options and for analyzing the predictive properties of forward rates we show that the stochastic process structure leads to a downward revision in estimates of forward rate predictive power

the money and bond markets in france abstract when rates of return on bonds are computed over extremely short holding periods the ex post cross sectional relationship between realized return and risk is linear it is therefore possible at any time to extrapolate the cross sectional relationship to a zero risk level and thus to determine the implied instantaneous riskless rate of interest we apply this technique to french bond price data using a rather unique data set in which prices are sampled daily we are able to compare the overnight rate implied in bond price data to the actual overnight money market rate we conclude that the two rates are significantly different which is evidence of segmentation between the two markets the institutional set up prevailing in france during the sample period explains the segmentation result

do we really know that the wto increases trade comment in a recent article in the american economic review andrew k rose 2004 finds that countries belonging to the general agreement on tariffs and trade gatt and its successor the world trade organization wto did not trade more than countries that abstained from membership a vast literature on the gatt and the wto presupposes that these organizations were important but until rose there were few systematic efforts to test the assumption that membership increased trade rose s contribution is striking because he assembles a large dataset performs a myriad of analyses and uncovers scant evidence that the gatt and the wto had any impact rose describes his negative findings as an interesting mystery 112 the solution to this mystery lies in understanding who actually participated in the gatt we show that rose has overlooked a large proportion of countries to which the agreement applied and mistakenly classified them as nonparticipants when in fact they had rights and obligations under the agreement this causes a downward bias in his estimates of the gatt s effect on trade because his gravity regressions

bond price dynamics and options this paper provides a closed form preference free means of valuing a european call option written on a default free pure discount bond investors may not agree upon a theory of the term structure but they will necessarily agree on equilibrium option values further these equilibrium option values may be obtained without recourse to numerical approximation default free pure discount bond prices were posited to follow a non standardized transformed brownian bridge process this specification implicitly incorporates the terminal constraint that the price of a default free pure discount bond equal its face value at maturity contingent claim valuation necessarily involves consideration of terminal constraints on the value of financial securities the brownian bridge specification permits an appropriate means of incorporating a number of such constraints therefore while this paper has considered only the application of the brownian bridge process to the valuation of debt options the introduction of this process may provide for many further financial applications

a test of the cox ingersoll and ross model of the term structure we test the theory of the term structure of indexed bond prices due to cox ingersoll and ross cir the econometric method uses hansen s generalized method of moments and exploits the probability distribution of the single state variable in cir s model thus avoiding the use of aggregate consumption data it enables us to estimate a continuous time model based on discretely sampled data the tests indicate that cir s model for index bonds performs reasonably well when confronted with short term treasury bill returns the estimates indicate that term premiums are positive and that yield curves can take several shapes however the fitted model does poorly in explaining the serial correlation in real treasury bill returns 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

time varying term premia on u s treasury bills and bonds abstract we use instrumental variables estimation to document variation in ex ante term premia on u s treasury bills and bonds of maturities ranging from two months to twenty years for the april 1959 to december 1989 sample period ex ante term premia are found to be positively related to the ex ante variability in the nominal one month risk free rate of interest significant shifts in the stochastic process generating term premia are documented subsequent to the october 1979 and october 1982 shifts in monetary policy subperiod results document variation in ex ante tenn premia in each of the three monetary regimes

institutions in international relations understanding the effects of the gatt and the wto on world trade the general agreement on tariffs and trade gatt and the world trade organization wto have been touted as premier examples of international institutions but few studies have offered empirical proof this article comprehensively evaluates the effects of the gatt wto and other trade agreements since world war ii our analysis is organized around two factors institutional standing and institutional embeddedness we show that many countries had rights and obligations or institutional standing in the gatt wto even though they were not formal members of the agreement we also expand the analysis to include a range of other commercial agreements that were embedded with the gatt wto using data on dyadic trade since 1946 we demonstrate that the gatt wto substantially increased trade for countries with institutional standing and that other embedded agreements had similarly positive effects moreover our evidence suggests that international trade agreements have complemented rather than undercut each other an earlier version of this article was presented at the 99th annual meeting of the american political science association philadelphia august 28 31 2003 we thank tim buthe joanne gowa miles kahler andrew rose arthur stein richard steinberg and seminar participants at stanford university the university of chicago pipes the university of california los angeles the university of california san diego and the university of virginia for many helpful comments we especially thank claire adida ashley conner moonhawk kim erin krampetz james morrison mike nardis natan sachs rachel rubinfeld and jessica weeks for excellent research assistance we are grateful for financial support from the national science foundation career grant ses 0548285 to tomz the stanford center for international development and the vice provost for undergraduate education at stanford

modeling the stochastic behavior of short term interest rates pricing implications for discount bonds abstract this paper models the stochastic behavior of short term interest rates and determines the correct specification of the drift and diffusion functions of the spot rate process a wide variety of one factor diffusion and two factor stochastic volatility models is compared in terms of their ability to capture the dynamics of interest rate volatility the empirical evidence on the one three and six month eurodollar deposit rates indicates that a new class of models with stochastic volatility is better than the single factor diffusion models in forecasting the future volatility of interest rate changes the paper extends the one factor bdt term structure model to a two factor setting and presents the pricing implications for discount bonds monte carlo simulation results for the implied yields of three and six month zero coupon bonds imply that incorporating the so called level and garch effects in volatility improves the pricing performance of the interest rate models

an empirical comparison of forward rate and spot rate models for valuing interest rate options our main goal is to investigate the question of which interest rate options valuation models are better suited to support the management of interest rate risk we use the german market to test seven spot and forward rate models with one and two factors for interest rate warrants for the period from 1990 to 1993 we identify a one factor forward rate model and two spot rate models with two factors that are not significantly outperformed by any of the other four models further rankings are possible if additional criteria are applied

interpreting ricardo a rejoinder to peach this note answers terry peach s 1998 response to our criticisms of his interpretation of ricardo we show that the available evidence supports sraffa s interpretation the arguments put forward by peach far from undermining that interpretation or furthering an understanding of ricardo s project do little more than catalogue the already well known difficulties that ricardo encountered as he grappled toward a clearer account of the laws that regulate distribution and prices copyright 2002 oxford university press

shifting endpoints in the term structure of interest rates abstract this paper links the term structure to perceptions of monetary policy long horizon forecasts of short rates required by no arbitrage term structure models are heavily influenced by the endpoints or limiting conditional forecasts of the short rate process common assumptions that the short rate is mean reverting or contains a unit root are shown to generate unrealistic yield predictions failures occur because these assumptions inadequately account for historical shifts in market perceptions of the policy target for inflation this paper links endpoint shifts to agent learning about shifts in long term policy goals shifting endpoints in short rate processes significantly improve yield predictions

a multifactor spot rate model for the pricing of interest rate derivatives we propose a multifactor model in which the spot rate libor follows a lognormal process with a stochastic conditional mean under the risk neutral measure in addition to the spot rate factor the second factor is related to the premium of the first futures rate over the spot libor similarly the third factor is related to the premium of the second futures rate over the first futures rate we calibrate the model to the initial term structure of futures rates and to the implied volatilities of interest rate caplets we then apply the model to price interest rate derivatives such as european and bermudan style swaptions and yieldspread options the model can be employed to price more complex interest rate derivatives such as path dependent derivatives or multi currency dependent derivatives because of its markovian property

quality option profits switching option profits and variation margin costs an evaluation of their size and impact on treasury bond futures prices this paper provides empirical evidenee that the quality option in f bond futures is much less valuable than previously indicated in addition a dynamic trading strategy involving multiple switches of the cash bonds held in a long cash versus short futures position is shown to produce substantially greater profits than the single exercise of the quality op tion these findings suggest that the optimal management of long cash short futures positions is likely to involve dynamic trading strategies while passive strategies appear more appropriate for short cash long futures positions it is also shown that required variation margin payments are frequently large and may impact the profitability and risk of such positions to a greater extent than either of these options further evidenee is given indicating that observed t bond futures prices reflect an imputed value for the options and risks inherent in such positions

robert torrens and ricardo s corn ratio theory of profits the main point at issue in the dispute started more than ten years ago by s hollander on sraffa s interpretation of ricardo s early theory of profits undoubtedly concerns the logic underlying the notion which ricardo entertained at that stage namely that it is the profits of the farmer which regulate the profits of all other trades ricardo to trower 5 march 1814 in ricardo 1951 73 vi p 104 as is well known the rational foundation for such statements by ricardo was according to sraffa that in agriculture the same commodity namely corn forms both the capital and the product therefore in agriculture the rate of profit is determined as a ratio between two quantities of corn without any question of valuation if there is to be a uniform rate of profit in all trades it is the exchangeable values of the product of other trades relatively to corn that must be so adjusted as to yield the same rate of profit as has been established in the growing of corn sraffa 1951 p xxxi hollander writes that it does not seem likely that ricardo intended to ascribe a determining role to the agricultural sector on the logic ascribed to him by sraffa 1979 p 146 it is remarkable that hollander concedes even more than is necessary for sraffa s case when he writes of his ricardo s assumption in the essay that corn alone enters the wage basket ibid he seems however to reconcile this with his general position by suggesting that the essay on profits constitutes an essay in persuasion p 118 and its policy orientation would justify ricardo s emphasis upon corn in the wage basket to get the message across regarding the effects of corn import restriction no general theoretical significance ought to be attached to such strong cases hollander 1979 p 146 i shall not deal here with the difficulties that hollander s reconstruction of what ricardo intended encounters on grounds of both logic and evidence for this see eatwell 1975 garegnani 1982 the purpose of the present note is to show that the logic which sraffa ascribes to ricardo is clearly spelled out in the second edition of torrens external corn trade 1820 where we find both the determination of the agri cultural rate of profit in physical terms as a ratio between two quantities of corn and the determination of the value of manufactured goods relative to corn using the given agricultural rate of profit remarkably in this work torrens goes out of his way to acknowledge his great indebtedness to ricardo s original and profound inquiry into the

valuing debt options empirical evidence abstract a two factor model using the instantaneous rate of interest and the return on a consol bond to describe the term structure of interest rates the brennan schwartz model is used to derive theoretical prices for american call and put options on us government bonds and treasury bills these model prices are then compared with market prices the theoretical model used to value the dept options also provides hedge ratios which may be used to construct zero investment portfolios which in theory are perfectly riskless several trading strategies based on these riskless portfolios are examined

long and short term interest rates in a risky world abstract the paper develops and tests a general equilibrium model in which variability or risk affects the choice of portfolios our measures of variability include only the variability of unanticipated growth in monetary and non monetary aggregates and our tests use data ending with the change in federal reserve procedures in october 1979 we find that increased variability of unanticipated money growth raises demands for debt and money and reduces the demand for real capital interest rates on both short and long term debt rise by a risk premium we estimate the size of the risk premium before and after the october 1979 change and we show that the change in federal reserve procedures moved the economy to a less efficient point

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

investment and hedging under a stochastic yield curve abstract this paper examines portfolio decisions involving both fixed and non fixed income securities two state variables the short term and the long term interest rates fully determine the bonds prices and partly influence the other assets prices we propose first a methodology for determining optimal portfolios in such a context and then use that methodology to solve the portfolio problem of investors whose long term bond holdings are constrained which generates undesirable interest rate risk that are hedged with futures contracts the individual futures positions which involve several hedging components and the futures market equilibrium open interest are derived and analysed

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