tips inflation expectations and the financial crisis the authors show that inefficiencies in the u s market for inflation linked bonds can be exploited by informed traders who include survey estimates or inflation model forecasts in trades on breakeven inflation the treasury inflation protected securities market has yet to fulfill investors expectations as a low risk efficient and liquid financial instrument

the purchasing power of money and nominal interest rates a re examination while it has been known for some time that under uncertainty the original version of the fisher hypothesis is not precisely correct empirical researchers have largely ignored this fact such an omission has possibly resulted in erroneous conclusions concerning other hypotheses most notably the impact of prices on the real economy this paper clarifies some of the previous interpretations of the existing empirical literature and provides a theoretical version of the relation between prices and interest rates empirical tests based on both the livingston survey data and data from time series forecasting models provide support for the fisher effect and the hypothesis that only covariance risk is priced in the treasury bill market one of the basic hypotheses concerning rationality in financial markets is based on statements generally attributed to fisher 18 fisher argued that the nominal or money rate of return on an asset should compensate an investor for his or her required real rate of return and changes in the purchasing power of money for the uncertainty case fisher replaced known purchasing power changes with the expected inflation rate whereas the fisher relationship under certainty is well defined his basic theorem under uncertainty is not precise as fama 15 has argued it is changes in the purchasing power of money not the inflation rate that should concern investors under uncertainty the expected value of one is not by jensen s inequality the inverse of the expected value of the other moreover fama and farber 16 grauer and litzenberger 20 and benninga and protopapadakis 3 have shown that when investors are risk averse the fisher relationship will generally not hold even after adjustment has been made for the distinction between purchasing power changes and the inflation rate in particular these authors show that an adjustment must be made for the fact that the real rate of return on nominal bonds is random while these issues have been discussed in the theoretical literature they have largely been ignored in the empirical work on this topic given the fact that nominal rates do not seem to adjust as rapidly to price changes as fisher hypothesized numerous empirical researchers have expanded the basic fisher model in an attempt to explain this empirical anomaly these extensions include the incorporation of a inflation rate variability and the growth in real output

hedging interest rate risk with futures portfolios under full rank assumptions a spot portfolio of rate sensitive assets can be hedged by a portfolio of interest sensitive futures contracts the hedge ratios of minimum variance portfolios are unique when the fixed cash flows of underlying instruments are linearly independent and when the covari ance matrix of unexpected changes in spot rates over the term of the cash flows is of full rank hilliard s 1984 full rank model has produced smaller portfolio variances than a duration model in a short term hedging context however the methodology typically re quires extensive econometric analysis this paper develops a structured covariance matrix of full rank that requires only one parameter estimate hedging examples are provided

interest rate innovations and the volatility of long term bond yields this paper develops and tests restrictions on the variance of innovations in long term bond yields implied by the expectations model of the term structure the authors adapt kenneth d west s 1988 stock price volatility tests to the case of long but finite maturity bonds their approximate equality restriction does not require short term rates to be stationary and hence provides a unified framework for volatility testing when short rates are modeled as stationary long rate innovations appear excessively volatile when short rates are modeled as difference stationary long rate innovations appear excessively smooth copyright 1994 by ohio state university press

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

interest rate uncertainty and the optimal debt maturity structure as demonstrated by boyce and kalotay 1979 and brick and ravid 1985 the use of long term debt may be preferred because of tax related advantages brick and ravid show that if there exists a tax advantage to debt and nonstochastic interest rates long term debt will increase the present value of the tax benefits of debt if the term structure of interest rates adjusted for risk of default is increasing a decreasing term structure on the other hand calls for short term debt the present paper extends the tax induced argument of brick and ravid to allow for the presence of stochastic interest rates once interest rates are uncertain pricing even under risk neutrality becomes a complex issue we analyze the debt maturity decision under two competing pricing equations the return to maturity expectations hypothesis and the local expectations hypothesis this terminology is used in cox ingersoll and ross 1981 and campbell 1986 under uncertainty a debt capacity factor will create an additional incentive to issue long term debt our other results may be interpreted to indicate that if the term premium the difference between the implied forward interest rate and the future expected spot rate is positive sufficiently negative then long term short term debt maturity strategy is optimal

investments holdup and the form of market contracts the authors analyze incomplete contracts to induce efficient investment with exogenous switching costs fixed price contracts are efficient generate some rigidity in prices are renegotiated intermittently by possibly small amounts and when inflation is positive generate asymmetric responses to shocks all consistent with evidence on prices and wages with two sided specific investments efficiency requires prices to have sufficient escalator clauses to avoid renegotiation as observed in many long term contracts a third case with one sided specific investments can generate take or pay contracts and explain why firms sometimes pay for specific investments that appear to benefit employees directly

the role of games in security design we contend that security design should be approached as a problem of game design that is contracts should specify the procedures that govern the behavior of contract participants in determining outcomes as well as the allocations resulting from those outcomes we characterize optimal contracts in two nested classes all contracts including those that depend on the state and state independent contracts we demonstrate that in situations in which the dependence of contracts on the state is limited contracts designed as games can improve the allocation of resources relative to nonstrategic allocation rules article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

arbitrage and the expectations hypothesis this paper shows that all traditional forms of the expectations hypothesis can be consistent with the absence of arbitrage if markets are incomplete a key implication is that the validity of the expectations hypothesis is purely an empirical issue the expectations hypothesis cannot be ruled out on a priori theoretical grounds one of the oldest and best known models in finance is the expectations hypothesis of the term structure introduced by fisher 1896 more than a century ago the expectations hypothesis has become a standard framework for explaining how yields of different maturities are related and it provides an important empirical benchmark from a theoretical perspective however the expectations hypothesis is not generally viewed as a viable model of the term structure in particular cox ingersoll and ross 1981 show that the traditional expectations hypothesis is actually a set of mutually exclusive propositions and offer a proof that most forms of the expectations hypothesis admit arbitrage recently mcculloch 1993 and fisher and gilles 1998 present counterexamples to the cox et al proof showing that the traditional forms of the expectations hypothesis can be consistent with the absence of arbitrage they acknowledge however that their counterexamples are somewhat contrived and view them as economically implausible these results leave the impression that the expectations hypothesis is only consistent with the absence of arbitrage in pathological cases of little practical interest in this paper we argue that the expectations hypothesis is much more theoretically defensible than commonly believed an important point often overlooked is that the cox et al 1981 results are developed in an economic setting where bonds are redundant securities in the more realistic case where bond prices display security specific variation and there is mounting evidence of this traditional forms of the expectations hypothesis can hold quite generally without arbitrage only weak conditions guaranteeing the existence of an equivalent martingale measure need be satisfied for the various forms of the expectations hypothesis to hold without arbitrage a key

emerging market inflation linked bonds investigating the value added by inflation linked bonds in investment portfolios in emerging markets the author found that the inclusion of inflation linked bonds improved the risk return characteristics of investment portfolios in many of the emerging markets he also found that inflation linked bond returns correlate more positively with realized inflation than do nominal bonds even in the short run thus investors should consider adding emerging market inflation linked bonds to their investment portfolios

product market competition and optimal debt contracts the limited liability effect revisited abstract this paper shows that asymmetric information between lenders and borrowers plays a crucial role in the existence of interactions between financial decisions and output market strategies lenders offer an optimal renegotiation proof financial contract which resembles a standard debt contract computing cournot equilibria debt causes firms to compete less aggressively the usual positive limited liability effect on quantities is offset by a negative one due to endogenous financial costs

human capital bankruptcy and capital structure we derive a firm s optimal capital structure and managerial compensation contract when employees are averse to bearing their own human capital risk while equity holders can diversify this risk away in the presence of corporate taxes our model delivers optimal debt levels consistent with those observed in practice it also makes a number of predictions for the cross sectional distribution of firm leverage consistent with existing empirical evidence it implies persistent idiosyncratic dierences in leverage across firms an important new empirical prediction of the model is that ceteris paribus firms with more leverage should pay higher wages

a simple account of the behavior of long term interest rates recent empirical research on the term structure of interest rates has shown that the long term interest rate is well described by a distributed lag on short term interest rates but does not conform to the expectations theory of the term structure it has been suggested that the long rate overreacts to the short rate this paper presents aunified taxonomy of risk premia or deviations from the expectations theory this enables the hypothesis of overreaction to be formally stated it is shown that if anything the long rate has underreacted to the short rate however the independent movement of the long rate is primarily responsible for the failure of the expectations theory

the information in swedish short maturity forward rates in this paper we empirically study the relationship between implicit forward rates and corresponding interest rates in the short end of the swedish term structure the interest rates and forward ra

short term interest rate dynamics a spatial approach abstract we use new fully functional methods to describe and study the dynamics of the short term interest rate process in continuous time the suggested procedure exploits the spatial properties embodied in the local time process of the diffusion of interest and is robust against deviations from stationarity our results indicate that the misspecification of a standard constant elasticity of variance model with linear mean reverting drift cannot be attributed to the nonlinear behavior of the infinitesimal first moment of the short term interest rate process at high rates rather it should be attributed to the martingale nature of the process over most of its empirical range i e between 3 and about 15

information reliability and a theory of financial intermediation this paper is an analysis of when it will be beneficial for agents engaged in the production of information to form coalitions the model is cast in a financial market framework thus leading to an identification of conditions sufficient for the existence of financial intermediaries intermediation is shown to improve welfare if informational asymmetries are present and the information generated to rectify these asymmetries is potentially unreliable the usual appeal to transactions costs to explain intermediation is not needed

specialization productivity and financing constraints we analyze optimal financial contracts when the specificity of investments is endogenous specialization decreases the liquidation value of assets but improves the asset s long term productivity while the former is known to make financing more difficult we show that the latter can ease financing constraints and increase financing capacity by improving an entrepreneur s incentive to repay the overall impact of specialization on the terms of financing depends on which effect is more important specialization decisions interact with the nature of investments their timing the need for outside financing and an entrepreneur s ability to commit to a level of specialization the author 2013 published by oxford university press on behalf of the society for financial studies all rights reserved for permissions please e mail journals permissions oup com oxford university press

exact solutions for futures and european futures options on pure discount bonds this paper provides closed form solutions for futures and european futures options on pure discount bonds under the ornstein uhlenbeck normal process a significant difference between black s model 1976 and the model in this paper for futures options is discussed

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

cooperative investments and the value of contracting recent articles have shown that contracts can support the efficient outcome for bilateral trade even in the face of specific investments and incomplete contracting these studies typically considered selfish investments that benefit the investor e g the seller s investment reduces her production costs the authors find very different results for cooperative investments that directly benefit the investor s partner e g the seller s investment improves the buyer s value of the good most importantly if committing not to renegotiate the contract is impossible then contracting has no value i e the parties cannot do better than to abandon contracting altogether in favor of ex post negotiation

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

preferred habitat for liquidity in international short term interest rates abstract risk shifting window dressing and a preferred habitat for liquidity have been offered as possible explanations as to why us money market rates are higher before the year end than afterwards the two hypotheses differ in the timing of the rate decline at the year end and the evidence on the timing of the decline supports the preferred habitat hypothesis in us money markets this paper extends this line of research to the behavior of international short term interest rates at year ends and quarter ends using london interbank offer rates libor for 11 different currencies the results suggest that the behavior of libor for five currencies the us dollar euro japanese yen swiss franc and german mark is consistent with year end or quarter end preferred habitats for liquidity other currencies do not demonstrate consistently distinct patterns in turn of the year and turn of the quarter yields none of the results provides any support for risk shifting window dressing

the term structure spread and future changes in long and short rates in the g7 countries abstract according to the expectations hypothesis when the spread between long and short rates widens next quarter s long rate should rise in the united states however long rates decline instead of rising this anomaly is also present in canada the uk germany and japan four of the additional six g7 countries nevertheless in contrast to the us where long rates appear to overreact to expected future developments the anomalous short run movement of long rates in these other g7 countries is caused by an additive white noise error on long rates that does not materially affect the information in their term structure

the tips treasury bond puzzle we show that the price of a treasury bond and an inflation swapped treasury inflation protected securities tips issue exactly replicating the cash flows of the treasury bond can differ by more than 20 per 100 notional treasury bonds are almost always overvalued relative to tips total tips treasury mispricing has exceeded 56 billion representing nearly 8 of the total amount of tips outstanding we find direct evidence that the mispricing narrows as additional capital flows into the markets this provides strong support for the slow moving capital explanation of arbitrage persistence

covenants and collateral as incentives to monitor although monitoring borrowers is thought to be a major function of financial institutions the presence of other claimants reduces an institutional lender s incentives to do this thus loan contracts must be structured to enhance the lender s incentives to monitor covenants make a loan s effective maturity and the ability to collateralize makes a loan s effective priority contingent on monitoring by the lender thus both covenants and collateral can be motivated as contractual devices that increase a lender s incentive to monitor these results are consistent with a number of stylized facts about the use of covenants and collateral in institutional lending modern finance theory suggests that financial intermediaries such as commercial banks insurance companies and finance companies monitor and control their borrowers on behalf of other investors 1 this article investigates how the loans made by these institutions can be structured so as to best enhance the institutions role as delegated monitors covenants and collateral are common features of loans made by financial institutions but these features are somewhat difficult to justify consider loan covenants clauses in a loan contract that require the borrower to take or refrain from various actions berlin and mester 1992 magee and sridhar 1994 and park 1994 show that by giving institutions the right to renegotiate or call loans when covenants are violated covenants serve as tripwires that enhance the flexibility and efficiency of financial contracting also as documented in smith and warner 1979 control rights from covenants reduce borrower adverse selection or moral hazard nevertheless by allowing institutions to demand repayment based on any information contractible or not

do stationary risk premia explain it all evidence from the term structure abstract predictable variations in excess returns have often been attributed to the presence of time varying risk premia in this paper we use an insight based upon new techniques from time series analysis to test whether stationary risk premia can alone explain the behavior of excess returns to long bonds relative to rolling over short rates surprisingly we reject this hypothesis using u s t bill returns we then show that either permanent shocks to the risk premia and or rationally anticipated shifts in the interest rate process could produce anomalous results

conditional time varying interest rate risk premium evidence from the treasury bill futures market existing studies of the term structure of interest rates often use spot treasury rates to represent default free interest rates however part of the premium in treasury rates is compensation for the risk that short sellers may default since treasury bill futures are default free they provide cleaner data to estimate the interest rate risk premium the mean excess return in defaultfree treasury bill futures is zero this suggests that the interest rate risk premium could be economically negligible we find that although the mean unconditional premium is zero futures returns contain economically and statistically significant time varying conditional interest rate risk premiums the conditional premium depends significantly positively on its own conditional variance and its conditional covariance with the equity premium the conditional premium is large in the volatile 1979 82 period but small afterwards

financial intermediation and delegated monitoring this paper develops a theory of financial intermediation based on minimizing the cost of monitoring information which is useful for resolving incentive problems between borrowers and lenders it presents a characterization of the costs of providing incentives for delegated monitoring by a financial intermediary diversification within an intermediary serves to reduce these costs even in a risk neutral economy the paper presents some more general analysis of the effect of diversification on resolving incentive problems in the environment assumed in the model debt contracts with costly bankruptcy are shown to be optimal the analysis has implications for the portfolio structure and capital structure of intermediaries

credit rationing and payment incentives a model of borrowing for production is presented where default leads to exclusion from the capital market this means contracts are enforceable provided the current payment is less than or equal to the value of future access to the capital market the main result of the paper is to show that if this constraint binds then credit is rationed

optimal bankruptcy law and firm specific investments in this paper we characterize an optimal bankruptcy law that takes into consideration the incentives of managers to invest in firm specific human capital we show that the optimal bankruptcy law is biased towards the management team and may be implemented by the use of a restricted auction mechanism in which creditors have the right to refuse bankruptcy but are not allowed to bid for the firm the bankruptcy law is needed as a commitment device to implement the optimal outcome

rational expectations econometric analysis of changes in regime an investigation of the term structure of interest rates abstract this paper is of interest both for its methodological contribution of new tools for analyzing rational expectations models and for its substantive conclusions concerning the term structure of interest rates during the monetary experiment of october 1979 the paper studies systems subject to changes in regime interpreted here as occasional discrete shifts in the parameters governing the time series behavior of exogenous economic variables the specification is shown to be quite tractable both theoretically and empirically the technique is used to analyze yields on three month treasury bills and ten year treasury bonds during 1962 to 1987 a constant parameter linear model for short term rates is shown to be inconsistent both with the univariate time series properties of short rates and with the observed bivariate relation between long and short rates under the expectations hypothesis of the term structure an alternative nonlinear model that admits the possibility of changes in regime affords a much better description of the univariate process for short rates moreover the cross equation restrictions implied by the expectations hypothesis of the term structure are consistent with the nonlinear specification indeed the residuals of the restricted relation have a standard error of only 0 8 basis points this is a third less than that of a completely unrestricted linear regression of long rates on short rates and compares with an unconditional standard deviation of long rates of 142 basis points i conclude that once the recognition by bond traders of changes in regime is taken into account the expectations hypothesis of the term structure of interest rates holds up fairly well for these data

a theory of financing constraints and firm dynamics there is widespread evidence supporting the conjecture that borrowing constraints have important implications for firm growth and survival in this paper we model a multiperiod borrowing lending relationship with asymmetric information we show that borrowing constraints emerge as a feature of the optimal long term lending contract and that such constraints relax as the value of the borrower s claim to future cash flows increases we also show that the optimal contract has interesting implications for firm dynamics in agreement with the empirical evidence as age and size increase mean and variance of growth decrease and firm survival increases

benchmarking the expectations hypothesis of the interest rate term structure an analysis of cointegration vectors i test cointegration restrictions that are consistent with the expectations hypothesis of the term structure by employing the full information maximum likelihood methods developed by johansen yield curves appear to be the result of cointegration among interest rates the cointegration vectors that best describe the long term impact of interest rate levels on interest rate changes can often be written as linear combinations of interest rate spreads there is however difficulty in keeping short term yields in such a restricted cointegrated system with other interest rates short term speculative returns from long term bonds do not conform to the expectations hypothesis

the canadian macroeconomy and the yield curve an equilibrium based approach les auteurs elaborent et estiment un modele d equilibre general de la structure des taux d interet canadiens dans lequel la dynamique des principales variables macroeconomiques est representee sous une forme vectorielle autoregressive et reliee a celle de la structure des taux

the real thing a dynamic profile of the term structure of real interest rates and inflation expectations in the united kingdom 1982 89 this article estimates real interest rates and inflation expectations from market observable data without assuming anything about the form of agents expectation formation mechanism by examining prices of index linked and conventional gilt edged securities form the u k bond market real interest rates and inflation expectations are computed quarterly beginning 1982 2 for up to fourteen maturities ranging from 1988 to 2024 copyright 1990 by the university of chicago

a defense of traditional hypotheses about the term structure of interest rates expectations theories of asset returns may be interpreted either as stating that risk premia are zero or that they are constant through time under the former interpretation different versions of the expectations theory of the term structure are inconsistent with one another but i show that this does not necessarily carry over to the constant risk premium interpretation of the theory i present a general equilibrium example in which different types of risk premium are constant through time and dependent only on maturity furthermore i argue that differences among expectations theories are secondorder effects of bond yield variability i develop an approximate linearized framework for analysis of the term structure in which these differences disappear and i test its accuracy in practice using data from the crsp government bond tapes in a well known article in this journal cox ingersoll and ross cir 4 reexamine and find wanting certain hypotheses about the term structure of interest rates a striking feature of cir s re examination is that it is entirely theoretical cir show that different versions of the pure expectations theory of the term structure which traditionally were regarded as equivalent are in fact inconsistent with one another when interest rates are random furthermore in a fairly general continuous time arbitrage pricing framework when interest rates are random all versions of the theory except one are incompatible with equilibrium at first sight cir s results appear to be devastating to traditional empirical work on the term structure they suggest that researchers must specify arbitrage pricing models with a small number of state variables before proceeding to empirical work such models must restrict not only the deterministic components

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

optimal debt structure and the number of creditors within an optimal contracting framework we analyze the optimal number of creditors a company borrows from we also analyze the optimal allocation of security interests among creditors and intercreditor voting rules that govern renegotiation of debt contracts the key to our analysis is the idea that these aspects of the debt structure affect the outcome of debt renegotiation following a default debt structures that lead to inefficient renegotiation are beneficial in that they deter default but they are also costly if default is beyond a manager s control the optimal debt structure balances these effects we characterize how the optimal debt structure depends on firm characteristics such as its technology its credit rating and the market for its assets

explaining the failures of the term spread models of the rational expectations hypothesis of the term structure contrary to the predictions of the rational expectations hypothesis of the term structure of interest rates empirical evidence suggests that the term spread between long and short rates fails to forecast future movements of long term rates although its forecasts of future short term rates are in the correct direction in this paper the authors show that this puzzling behavior of the term spread alone can be explained by a time varying term premium that is correlated with the term spread once this is accounted for neither expression of the expectations hypothesis is against the predictions of the theory copyright 1997 by ohio state university press

on the number of common unit roots in the term structure of interest rates 1994 on the number of common unit roots in the term structure of interest rates applied economics vol 26 no 8 pp 815 820

the october 1979 change in the u s monetary regime its impact on the forecastability of canadian interest rates subsequent to the october 1979 shift in monetary policy in the united states interest rates in north america not only reached unprecedented levels but also exhibited unprecedented volatility using canadian data the authors show that anticipated quarterly changes in long term rates associated with the rational expectations model have remained small during this post shift period the authors examine three sets of recorded forecasts of long term interest rates in canada and note their failure to improve upon the no change prediction the perverse relationship between the slope of the yield curve and the subsequent movement in long term rates exists in the canadian data but is of only modest value in a forecasting context the excess returns on long term bonds implicit in the recorded forecasts of the level of interest rates vary sharply yet there is little evidence that forecasters have identified a predictable component of time varying term premia

the term structure of very short term rates new evidence for the expectations hypothesis abstract empirical researchers have frequently rejected the expectations hypothesis the expectations hypothesis however has seldom if ever been tested at the extreme short end of the term structure where maturities are measured in days or weeks using overnight weekly and monthly repo rates i find that term rates are almost unbiased estimates of the average overnight rate this evidence provides new support for the expectations hypothesis

on the expectations view of the term structure term premia and survey based expectations in this paper uk disaggregate survey data of expected future interest rates are used to test the expectations model of the term structure of interest rates at the short end of the maturity spectrum in the aggregate the expectations model is rejected and both time varying term premia and expected interest rate changes are demonstrated to be important in explaining the slope of the yield curve within the aggregate data however we demonstrate that there are some differences with respect to the views of the term structure held for example for some individuals the pure expectations model cannot be rejected

a reexamination of traditional hypotheses about the term structure a comment an example of a continuous time economy is given whose general equilibrium term structure of interest rates obeys the expectations hypothesis for continuously compounded interest rates and returns contradicting the 1981 claim by cox ingersoll and ross that such an economy is mathematically impossible this example does not generate exploitable arbitrage opportunities of the type cox ingersoll and ross claim must arise the logarithmic expectations hypothesis as we call it it therefore an acceptable benchmark from which to measure term premia in continuous time term structure modeling the expectations hypothesis eh broadly construed postulates that expected returns on risk free bonds of different maturities are equal or equivalently that appropriately calculated forward interest rates equal expected future spot interest rates in comparing the expected returns on two bonds of different maturities however the returns may be compounded in any of four natural ways continuously to the shorter bond s maturity to the longer bond s maturity or to the nearest available future date it has long been understood that if the eh holds in terms of any one of these methods and if interest rates are stochastic jensen s inequality will in general preclude it from holding in terms of any of the other three in practice the convenience and simplicity of continuously compounded interest rates and returns have led many researchers e g roll 1970 mcculloch 1975 fama 1984 to use the first method and therefore what

internal versus external capital markets this paper presents a framework for analyzing the costs and benefits of internal versus external capital allocation we focus pritnarily on comparing an internal capital market with bank lending while both represent centralized forms of financing in the former case the financing is owner provided while in the latter ceise it is not we argue that the ownership aspect of internal capital allocation has three important consequences 1 it leads to more monitoring than bank lending 2 it reduces managers entrepreneurial incentives and 3 it makes it easier to efficiently redeploy the assets of projects that are performing poorly under existing management

time varying term premia and traditional hypotheses about the term structure empirical evidence of time varying term premia in bond returns is frequently interpreted as evidence against the expectations hypothesis this paper shows that the expectations hypothesis can actually imply time varying term premia if the time frame for which the expectations hypothesis holds differs from the return measurement period furthermore many of the properties of these term premia are consistent with those of observed term premia these results are important because they imply that the case against the expectations hypothesis is weaker than claimed in the empirical literature many recent studies have presented empirical evidence that term premia in bond returns are time varying for example fama and bliss 1987 document that term premia in treasury bond returns vary reliably through time and can be forecast using the information in forward rates similar evidence of variation through time in term premia is given by shiller 1979 startz 1982 shiller campbell and schoenholtz 1983 fama 1984 mankiw 1986 shiller 1986 campbell 1987 engel lilien and robins 1987 shiller and mcculloch 1987 froot 1989 simon 1989 and others these empirical results have been interpreted in the literature as strong evidence against the expectations hypothesis eh 1 the reason for this interpretation is the widely held view that the eh is consistent only with term premia that are constant through time 2 in this paper we show that the eh need not imply constant term premia specifically we present an example in which an important form of the eh implies nonzero term premia that vary randomly through their dependence on the volatility of the term structure we show that the variation in these term premia can be significant relative to the variation in expected returns for longer maturity bonds furthermore we show that these term premia are directly related to the forward spot rate differential the key insight of this example is that the empirical implications of the eh depend critically on the length of the period over which the eh is assumed to hold if this interval is shorter than the period over which bond returns are measured aggregation over time can induce rich patterns of variation in observable term premia

around and around the expectations hypothesis we show how to construct models of the term structure of interest rates in which the expectations hypothesis holds mcculloch 1993 presents such a model thereby contradicting an assertion by cox ingersoll and ross 1981 but his example is gaussian and falls outside the class of finite dimensional markovian mode ls we generalize mcculloch s model in three ways i we provide an arbitrage free characterization of the unbiased expectations hypothesis in terms of forward rates ii we extend this characterization to a whole class of expectations hypotheses and iii we show how to construct finite dimensional markovian and non gaussian examples in one form or another the expectations hypothesis has played a central role in the analysis of the term structure of interest rates perhaps the most common form of the expectations hypothesis is the so called unbiased expectations hypothesis u eh which asserts that forward rates equal the conditional expectations of future spot rates but other forms exist as well cox ingersoll and ross cir 1981 characterize a number of mutually incompatible forms of the expectations hypothesis besides the u eh including the local expectations hypothesis l eh under which the expected rate of return on all zero coupon bonds on all assets in fact equals the short term risk free rate see jarrow 1981 for a similar analysis of the various expectations hypotheses they consider cir claim that only the l eh is consistent with general equilibrium in continuous time models as well as in discrete time models with continuous compounding of yields mcculloch 1993 provides a counterexample to cir s claim his example is in the spirit of heath jarrow and morton hjm 1992 in the sense that it does not admit a representation in terms of a finite number of markovian state variables the setting in cir indeed mcculloch suggests that cir s claim may be true within their setting as we show it is not there is a weak version of the u eh according to which forward rates are biased predictors of future spot rates but the bias or term premium is a constant that only depends on the forecast horizon a regression of future spot rates on current forward rates produces a slope coefficient equal to fisher is with the board of governors of the federal reserve system and gilles is with bear stearns co the views expressed herein are the authors and do not necessarily reflect those of the board of governors or the federal reserve system we thank greg duffee and huston mcculloch for extensive comments and an anonymous referee for suggesting improvements in the exposition

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

default and renegotiation a dynamic model of debt we analyze the role of debt in persuading an entrepreneur to pay out cash e ows rather than to divertthem in the e rstpartof the paper we study the optimal debt contract specie cally the trade off between the size of the loan and the repayment under the assumption that some debt contract is optimal in the second part we consider a more general class of nondebt contracts and derive sufficient conditions for debt to be optimal among these

short term interest rates as predictors of inflation on testing the hypothesis that the real rate of interest is constant in an innovative and provocative paper in this review eugene fama presents evidence which appears to be consistent with the joint hypothesis that the real rate of interest ignoring taxes is a constant and that the market for u s treasury bills is efficient in the sense of embodying rational expectations those findings are strikingly at variance with a long list of previous studies which seemed to support the view that the real rate of interest varies over time and can be related to economic variables such as real output monetary policy and so forth 2 the methodologies which lead to these contradictory conclusions are quite different previous studies had followed the lead of irving fisher by relating nominal interest rates to distributed lags on past rates of inflation 3 these distributed lags are generally interpreted as approximations to the market s expected rate of inflation and thus any remaining variation is attributed to variation in the real rate 4 fama s methodology on the other hand draws on the fact that the difference between the market interest rate and the subsequently observed rate of inflation the ex post real interest rate consists by definition of the ex ante real interest rate plus a pure forecasting error 5 the hypothesis of market efficiency implies that these forecasting errors must be serially random thus observing ex post real rates is equivalent to observing ex ante real rates with random measurement error these errors of course confound the problem of identifying variation in the ex ante real rate in this paper we will argue that the relative magnitude of these measurement errors is such that the tests carried out by fama were not powerful enough to reject the joint hypothesis that the ex ante real rate is a constant and expectations are rational more powerful tests which are presented in this paper using the same data do lead to rejection of that hypothesis of course rejection