settlement tax and non synchronous effects in the basis of u k stock index futures abstract the basis in stock index futures markets is analytically and empirically studied in this paper within a no arbitrage cost of carry framework explanatory power improved when the implications of the u k stock exchange settlement system were introduced into the modelling process and until recently with the maturity of the market evidence indicating the presence of non synchronicities between the cash and futures markets was found strong evidence for tax effects upon the basis was not found to be present in the data analysed statistically significant relationships between basis mispricing and volume and volatility were found

the policy preferences of the us federal reserve in this paper we model and explain us macroeconomic outcomes subject to the discipline that monetary policy is set optimally exploiting the restrictions that come from optimal policymaking we estimate the parameters in the federal reserve s policy objective function together with the parameters in its optimization constraints for the period following volcker s appointment as chairman we estimate the implicit inflation target to be around 1 4 and show that policymakers assigned a significant weight to interest rate smoothing we show that the estimated optimal policy provides a good description of us data for the 1980s and 1990s

margining in derivatives markets and the stability of the banking sector we investigate the effects of margining a widely used mechanism for attaching collateral to derivatives contracts on derivatives trading volume default risk and on the welfare in the banking sector first we develop a stylized banking sector equilibrium model to develop some basic intuition of the effects of margining we find that a margin requirement can be privately and socially sub optimal subsequently we extend this model into a dynamic simulation model that captures some of the essential characteristics of over the counter derivatives markets contrarily to the common belief that margining always reduces default risk we find that there exist situations in which margining increases default risk reduces aggregate derivatives trading volume and has an ambiguous effect on welfare in the banking sector the negative effects of margining are exacerbated during periods of market stress when margin rates are high and collateral is scarce we also find that central counterparties only lift some of the inefficiencies caused by margining

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

the relative valuation of caps and swaptions theory and empirical evidence although traded as distinct products caps and swaptions are linked by noarbitrage relations through the correlation structure of interest rates using a string market model we solve for the correlation matrix implied by swaptions and examine the relative valuation of caps and swaptions we find that swaption prices are generated by four factors and that implied correlations are lower than historical correlations long dated swaptions appear mispriced and there were major pricing distortions during the 1998 hedge fund crisis cap prices periodically deviate significantly from the no arbitrage values implied by the swaptions market the growth in interest rate swaps during the past decade has led to the creation and rapid expansion of markets for two important types of swap related derivatives interest rate caps and swaptions these over the counter derivatives are widely used by many firms to manage their interest rate risk exposure and collectively represent the largest class of fixed income options in the financial markets the international swaps and derivatives association isda estimates that the total notional amount of caps and swaptions outstanding at the end of 1997 was over 4 9 trillion which was more than 300 times the 15 billion notional of all chicago board of trade treasury note and bond futures options combined caps and swaptions are generally traded as separate products in the financial markets and the models used to value caps are typically different from those used to value swaptions furthermore most wall street firms use a piecemeal approach in calibrating their models for caps and swaptions making it difficult to evaluate whether these derivatives are fairly priced

futures prices on yields forward prices and implied forward prices from term structure when futures contracts are settled with respect to underlying asset prices received theory suggests that the differences between futures prices and implied forward prices from the term structure are strictly due to marking to market ceteris paribus empirical evidence appears to indicate that such differences are small for contracts with short maturities what happens when the futures contract settles to yields implied by future prices of underlying assets the eurodollar futures contract which is the most actively traded futures contract in the united states settles to yield as opposed to prices this unique settlement feature is shown to imply that the implied forward prices from the libor term structure should differ from the futures prices even in the absence of marking to market differences due to marking to market effect are small they are shown to vary between 2 to 45 basis points less than one half percent of futures prices on the other hand differences between implied forward prices and futures prices are shown to be relatively large

the futures and forward price differential in the nordic electricity market abstract this note investigates price differentials between electricity forwards and portfolios of short term futures with identical delivery periods at the nordic power exchange nord pool since both contracts are traded at the same exchange there is no influence of for example different market microstructure and default risk when examining the effect of the marking to market of futures on the price differential although the prices of the futures portfolios are on average below the corresponding forward prices these price differentials are on average not statistically significant and not economically significant when taking transaction costs into account given the characteristics of the electricity contracts under observation this is consistent with the predictions of the cox et al 1981 model and indicates efficient pricing in the nord pool forward market in contrast to previous results

market trading structures and asset pricing evidence from the treasury bill markets earlier studies report signfficant price disparities betweenfutures andforward or spot markets examining the treasury bill markets this article demonstrates that differences in market trading structures explain these disparities treasury billfutures rates contain significantly lower liquidity and default premia than do syntheticforward rates this reflects the functioning of a futures clearing association and differences between an open outcry auction futures market and an over the counter dealer spot market the same factors that make futures contracts nonredundant securities also explain the existence in equilibrium of price disparities

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

stochastic convenience yield and the pricing of oil contingent claims this paper develops and empirically tests a two factor model for pricing financial and real assets contingent on the price of oil the factors are the spot price of oil and the instantaneous convenience yield the parameters of the model are estimated using weekly oil futures contract prices from january 1984 to november 1988 and the model s performance is assessed out of sample by valuing futures contracts over the period november 1988 to may 1989 finally the model is applied to determine the present values of one barrel of oil deliverable in one to ten years time

forward and futures prices with markovian interest rate processes the authors derive a closed form expression for the differences between forward and futures prices in the framework of a lucas equilibrium model they calculate this difference for fixed income securities in two ways using historic interest rate data to calibrate the matrix of nominal state prices and testing a large sample of randomly generated state price matrices in both cases the authors find few meaningful differences between forward and futures prices larger differences are generated from highly diagonal state price matrices the authors conclude that in economically relevant circumstances the costs of marking to market for fixed income securities are negligible copyright 1994 by university of chicago press

relative pricing of eurodollar futures and forward contracts past research explains observed spreads between futures and forward eurodollar yields as being due to the futures contract s mark to market feature we derive closed form solutions for this yield spread and show that theoretically it should be small also differences in liquidity taxation and default risk cannot account for the large spreads observed we also present evidence that the spreads which are nonnegligible primarily in the first half of the sample period are likely to be attributable to the mispricing of futures contracts relative to the forward rates and that the mispricing was gradually eliminated over time

assessing credit risk in a financial institution s off balance sheet commitments the first part of this paper presents a general approach to valuing a financial institution s contracts when there is credit risk the approach uses contingent claims pricing theory and is particularly appropriate for an off balance sheet contract such as a swap that can have either a positive or a negative value to the counterparty the second part of the paper extends the analysis by considering the problem faced by bank supervisory authorities of determining capital requirements for off balance sheet contracts

solution of macromodels with hansen sargent robust policies some extensions abstract we summarize some methods useful in formulating and solving hansen sargent robust control problems and suggest extensions to discretion and simple rules matlab octave and gauss software is provided we illustrate these extensions with applications to the term structure of interest rates the time inconsistency of optimal monetary policy the effects of expectations on the variances of inflation and output and on whether central banks should make their forecasts public

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

learning expectations formation and the pitfalls of optimal control monetary policy this paper examines the robustness characteristics of optimal control policies derived under the assumption of rational expectations to alternative models of expectations we assume that agents have imperfect knowledge about the precise structure of the economy and form expectations using a forecasting model that they continuously update based on incoming data we flnd that the optimal control policy derived under the assumption of rational expectations can perform poorly when expectations deviate modestly from rational expectations we then show that the optimal control policy can be made more robust by deemphasizing the stabilization of real economic activity and interest rates relative to in ation in the central bank loss function that is robustness to learning provides an incentive to employ a conservative central banker we then examine two types of simple monetary policy rules from the literature that have been found to be robust to model misspeciflcation in other contexts we flnd that these policies are robust to empirically plausible parameterizations of the learning models and perform about as well or better than optimal control policies

term premiums in bond returns abstract this paper examines expected returns on u s treasury bills and on u s government bond portfolios expected bill returns are estimated from forward rates and from sample average returns both estimation methods indicate that expected returns on bills tend to peak at eight or nine months and never increase monotonically out to twelve months reliable inferences are limited to treasury bills and thus to maturities up to a year the variability of longer term bond returns preempts precise conclusions about their expected returns

u s treasury bill forward and futures prices for the period 1976 87 forward rates on u s t bills averaged more than 30 basis points above the comparable futures market rates since risk is common to both rates i argue that this difference can be explained by the substitutability of different maturity t bills for money consistent with this hypothesis i find that this difference depends positively on interest rates and the spread between the federal funds and 3 month t bill rates and negatively on the ratio of short term governments to broadly defined money also significant shifts occurred in the relationship in october 1979 and august 1982 coinciding with changes in federal reserve operating procedures copyright 1994 by ohio state university press

spurious welfare reversals in international business cycle models several papers have documented spurious welfare reversals incompletemarkets economy produces a higher level of welfare than the completemarkets economy this paper first demonstrates how conventional linearization can generate approximation errors that can result in welfare reversals using a two country production economy we argue that spurious welfare reversals are not only possible but also plausible under reasonable values for model parameters this paper then proposes an approximation method that modifies the conventional linearization by a bias correction this method can be easily implemented and approximates welfare as accurately as a second order perturbation method

soybean inventory and forward curve dynamics we present two results concerning soybean prices first we exhibit a simple relationship between stocks and price volatility the observation of an increasing price volatility with decreasing inventory is often mentioned in the literature but has so far been documented using a proxy for inventory see fama and french 1987 1988 litzenberger and rabinowitz 1995 instead we reconstruct a yearly quarterly and monthly database of worldwide soybean inventories using aggregate data from the united states brazil and argentina we show that under all time scales price volatility is an increasing linear function of inverse inventory which we term scarcity second we show how the addition of the factor scarcity in a state variable approach to the dynamics of the term structure of soybean forward prices improves the quality of the fit we document this property on a 25 year database of cbot futures contracts and show that the superior accuracy also affects long maturity futures contracts an important property for the valuation of long term origination contracts between producing countries and the agrifood industry

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

openness imperfect exchange rate pass through and monetary policy abstract this paper analyses the implications of imperfect exchange rate pass through for optimal monetary policy in a linearised open economy dynamic general equilibrium model calibrated to euro area data imperfect exchange rate pass through is modelled by assuming sticky import price behaviour the degree of domestic and import price stickiness is estimated by reproducing the empirical identified impulse response of a monetary policy and exchange rate shock conditional on the response of output net trade and the exchange rate it is shown that a central bank that wants to minimise the resource costs of staggered price setting will aim at minimising a weighted average of domestic and import price inflation

the analytic pricing of asymmetric defaultable swaps swaps where both parties are exposed to credit risk still lack convincing pricing mechanisms this article presents a reduced form model where the event of default is related to structural characteristics of each party the cash flows submitted to credit risk are identified before the swap is priced analytical pricing formulas for interest rate and currency swaps are computed using a gaussian model for risky bonds currency swaps exhibit additional correlation risk the benefits from netting depend on the balance between exposures and market conditions in valuation we show that sources of credit risk asymmetries are also likely to impact on credit spreads

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

an empirical analysis of implicit delivery options in the treasury bond futures contract abstract assuming perfect frictionless and efficient markets this paper develops a framework to estimate the composite value of the quality wild card and end of month options implicit in the t bond futures contract the value of delivery options is shown to be the excess of forward price of the cheapest bond over its conversion factor times the exercise price of futures contract empirical results indicate that the option values over the last quarter of the nearby contract are on average less than 0 5 percent of the mean futures price which is substantially lower than the value reported by previous studies further scrutiny reveals that although the empirical estimates are contaminated by non synchronous bond data they are consistent with certain known theoretical properties of option values

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

the impact of collateralization on swap rates interest rate swap pricing theory traditionally views swaps as a portfolio of forward contracts with net swap payments discounted at libor rates in practice the use of marking to market and collateralization questions this view as they introduce intermediate cash flows and alter credit characteristics we provide a swap valuation theory under marking to market and costly collateral and examine the theory s empirical implications we find evidence consistent with costly collateral using two different approaches the first uses single factor models and eurodollar futures prices and the second uses a formal term structure model and treasury swap data the traditional approach to interest rate swap valuation sundaresan 1991a and duffie and singleton 1997 treats a swap as a portfolio of forward contracts on the underlying floating interest rate under specific assumptions regarding the nature of default and the credit risk of the counterparties duffie and singleton 1997 prove that swap rates are par bond rates of an issuer who remains at libor quality throughout the life of the contract this result is extremely useful for extracting zero coupon bond prices pricing swap derivatives and testing spot rate models despite the popularity of the traditional view market practice brings into question some of the underlying assumptions of this approach as the swap market rapidly grew in the late 1980s and early 1990s an increasingly diverse group of counterparties entered the market to mitigate their exposure to counterparty credit risk market participants began using a number of credit enhancements to improve the credit quality of swap contracts without question the most important credit enhancement is the posting of collateral in the amount of the current mark to market value of the swap contract isda 1999 due to these credit enhancements market participants commonly view interest rate swaps as free of counterparty default risk see e g tuckman 2002 this implies that in contrast to the traditional approach swap rates should be discounted not at default risky libor rates but rather at default free rates johannes and sundaresan are with the columbia business school we thank seminar partici

testing the martingale hypothesis in deutsche mark futures with models specifying the form of heteroscedasticity summary we examine the form of heteroscedasticity in deutsche mark futures price data and compare different specifications of the particular way that the variance is changing over time the martingale hypothesis is tested with daily and weekly rates of change of futures prices for the deutsche mark and some evidence is found against this hypothesis in analyses of daily data from 1981 to 1985 this rejection of the martingale hypothesis may be attributed to trading day effects in foreign currency prices and the resulting day of the week patterns in futures prices when the martingale hypothesis is tested with weekly data the null hypothesis is retained

a continuous time equilibrium model of forward prices and futures prices in a multigood economy abstract this paper is a theoretical investigation of equilibrium forward and futures prices we construct a rational expectations model in continuous time of a multigood identical consumer economy with constant stochastic returns to scale production using this model we find three main results first we find formulas for equilibrium forward futures discount bond commodity bond and commodity option prices second we show that a futures price is actually a forward price for the delivery of a random number of units of a good the random number is the return earned from continuous reinvestment in instantaneously riskless bonds until maturity of the futures contract third we find and interpret conditions under which normal backwardation or contango is found in forward or futures prices these conditions reflect the usefulness of forward and futures contracts as consumption hedges

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

negative swap spreads and limited arbitrage since october 2008 fixed rates for interest rate swaps with a thirty year maturity have been mostly below treasury rates with the same maturity under standard assumptions this implies the existence of arbitrage opportunities this paper presents a model for pricing interest rate swaps where frictions for holding bonds limit arbitrage i show analytically that negative swap spreads should not be surprising in the calibrated model swap spreads can reasonably match empirical counterparts without the need for large demand imbalances in the swap market empirical evidence is consistent with the relation between term spreads and swap spreads in the model

price level versus inflation targeting abstract this paper shows that price level targeting outperforms inflation targeting in the standard new keynesian model under the assumption that the central bank is forced to operate in an environment characterized by discretion in the benchmark case with no persistence in the shocks the commitment solution can be fully replicated intuitively price level targeting introduces history dependence and a stationary level of prices both of which are prominent features of the commitment solution

a joint analysis of market indexes in credit default swap volatility and stock markets abstractthis paper analyses the joint dynamics of the cds volatility and stock markets using both var and markov regime switching var models with market index data it shows that the joint behaviour of the three markets is better characterized by the markov model with two regimes corresponding to low and high volatile market conditions the relationship between changes in the market indexes under a regime is consistent with theory and persistent the information transmission process of shocks to the markets is similar for the two regimes with a more important role for cds shock and the volatility in the money market is an important determinant of regime switching the findings have practical implications particularly for hedging strategies with market indexes under different market conditions

green expectations current effects of anticipated carbon pricing i report evidence that an anticipated strengthening of environmental policy increased emissions i find that the breakdown of the u s senate s 2010 climate effort generated positive excess returns

can interest rate volatility be extracted from the cross section of bond yields most affine models of the term structure with stochastic volatility predict that the variance of the short rate should play a dual role in that it should also equal a linear combination of yields however we find that estimation of a standard affine three factor model results in a variance state variable that while instrumental in explaining the shape of the yield curve is essentially unrelated to garch estimates of the quadratic variation of the spot rate process or to implied variances from options we then investigate four factor affine models of the models tested only the model that exhibits unspanned stochastic volatility usv generates both realistic short rate volatility estimates and a good cross sectional fit our findings suggest that short rate volatility cannot be extracted from the cross section of bond prices in particular short rate volatility and convexity are only weakly correlated c 2009 elsevier b v all rights reserved

an empirical examination of the convexity bias in the pricing of interest rate swaps abstract this paper examines the convexity bias caused by the non linearity of payoffs in the pricing of interest rate swaps off the eurocurrency futures curve the evidence from four major currencies dm and during 1987 1996 suggests that swaps were initially being priced off the futures curve ignoring the convexity adjustment subsequently the market swap rates drifted below the rates implied by futures prices after rejecting alternative explanations we use alternative term structure models to show that the convexity bias is related to the empirically observed swap futures differential we interpret these results as evidence of mispricing of swap contracts during the early years which was eliminated over time

robust monetary policy with competing reference models abstract the existing literature on robust monetary policy rules has largely focused on the case in which the policymaker has a single reference model while the true economy lies within a specified neighborhood of the reference model in this paper we show that such rules may perform very poorly in the more general case in which non nested models represent competing perspectives about controversial issues such as expectations formation and inflation persistence using bayesian and minimax strategies we then consider whether any simple rule can provide robust performance across such divergent representations of the economy we find that a robust outcome is attainable only in cases where the objective function places substantial weight on stabilizing both output and inflation in contrast we are unable to find a robust policy rule when the sole policy objective is to stabilize inflation we analyze these results using a new diagnostic approach namely by quantifying the fault tolerance of each model economy with respect to deviations from optimal policy

a comparison of futures and forward prices abstract this paper uses the pricing models of cox ingersoll and ross 1981 richard and sundaresan 1981 and french 1982 to examine the relation between futures and forward prices for copper and silver there are significant differences between these prices the average differences are generally consistent with the predictions of the futures and forward price models however these models are not helpful in describing intra sample variations in the futures forward price differences this failure is apparently caused by measurement errors in both the price differences and in the explanatory variables

throwing away a billion dollars the cost of suboptimal exercise strategies in the swaptions market abstract this paper studies the costs of applying single factor exercise strategies to american swap options when the term structure is actually driven by multiple factors using a multifactor string market model of the term structure we find that even when single factor models are recalibrated to match the market at every exercise date the exercise strategies they imply can be suboptimal based on estimates of notional amounts outstanding the total present value costs of following single factor strategies could be several billion dollars these results illustrate the importance of using well specified term structure models

corporate hedging and speculative incentives implications for swap market default risk this paper demonstrates a tradeoff between the risk shifting and hedging incentives of firms and identifies conditions under which each dominates a firm may have the incentive to hedge in a multi period context even if no such incentive exists in a single period one unrestricted access to swaps in the presence of asymmetric information about firm type and the swapping motive would lead to unbounded speculation resulting in breakdowns in swap and debt markets price based methods are unable to control this and market makers have to rely upon additional exposure information or credit enhancement devices to preserve equilibrium

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

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

the term structure of interbank risk we infer a term structure of interbank risk from spreads between rates on interest rate swaps indexed to the london interbank offered rate libor and overnight indexed swaps we develop a tractable model of interbank risk to decompose the term structure into default and non default liquidity components from august 2007 to january 2011 the fraction of total interbank risk due to default risk on average increases with maturity at short maturities the non default component is important in the first half of the sample period and is correlated with measures of funding and market liquidity the model also provides a framework for pricing hedging and risk management of interest rate swaps in the presence of significant basis risk

an empirical test of agency cost reduction using interest rate swaps abstract this paper tests a model based on wall s wall l 1989 journal of banking and finance 13 261 270 hypothesis of agency cost reduction using interest rate swaps we find a significant positive relationship between the risk of the firm and the reduction of agency costs measured by the continuously compounded excess return car of the firm our findings are consistent with wall s hypothesis and other theories of swap transactions and in explaining the existence and growth of the swap market

exploiting the conditional density in estimating the term structure an application to the cox ingersoll and ross model we propose an empirical method that utilizes the conditional density of the state variables to estimate and test a term structure model with known price formulae using data on both discount and coupon bonds the method is applied to an extension of a two factor model due to cox ingersoll and ross 1985 cir our results show that estimates based on only bills imply unreasonably large price errors for longer maturities we reject the original cir model using a likelihood ratio test and conclude that the extended cir model also fails to provide a good description of the treasury market

price level versus inflation targeting under model uncertainty the purpose of this paper is to make a quantitative contribution to the in ation vs price level targeting debate it considers a policymaker that can set policy either through an in ation targeting rule or a price level targeting rule to minimize a quadratic loss function using the actual projection model of the bank of canada totem the paper flnds that price level targeting dominates in ation targeting signiflcantly although it can lead to much more volatile in ation than in ation targeting depending on the weight assigned to output gap stabilization in the loss function the price level targeting rule is also found to mimic the full commitment solution quite well but there is an important difierence the full commitment solution does not require stationarity in the price level the paper then analyzes the extent to which the results are sensitive to hansen and sargent 2004 model uncertainty the paper flnds the price level targeting rule to be robust its performance deteriorates slower than the in ation targeting rule and the absolute decline in performance is small in magnitude

intra day tests of the efficiency of the treasury bill futures market in this paper we use intra day prices to examine the efficiency of the treasury bill futures market the use of intra day data allows us to carefully match in time trades in the futures and cash markets by matching trades and allowing delays between observing apparent inefficiencies and the trade we are examining realistic trading strategies we find profitable arbitrage swaps and a preferred strategy for initial purchase these profits do not depend on an assumption of an equilibrium model hence these tests are direct tests of efficiency rather than a joint test of efficiency and equilibrium t his paper examines the efficiency of the treasury bill futures market this subject has been examined before by capozza and cornell 1979 cornell 1981 lang and rasche 1978 rendleman and carabini 1979 vignola and dale 1979 poole 1978 and puglisi 1978 there are a number of reasons why this paper makes an important contribution to the literature the first reason is that by using trade by trade futures prices we can make more realistic assumptions about the pnces at which trades could have taken place this paper uses intra day prices to examine efficiency prior studies at best used closing prices to examine apparent inefficiencies and assumed that transactions took place at these closing prices there are two problems with this procedure first simultaneous transactions cannot actually occur at closing prices there is almost an hour difference between the closing of the chicago futures and new york spot markets thus when the closing spot market price is observed the futures market has been closed for about an hour closing prices could be used to judge apparent discrepancies however it would be necessary to execute trades at the open making decisions based on closing prices and then assuming trades can take place at these prices is an approximation which could significantly affect results in addition using only closing prices ignores any intra day trades which could lead to profits in this study we match in time intra day prices in the spot and futures market these matched prices are used to identify apparently profitable trading rules we then assume trades take place at prices which are observed later in the day this is a test of a trading rule which an investor could actually follow as we discuss later in the paper our results differ from prior studies these differences are primarily due to using intra day prices and carefully matching times so that information used to initiate trades would actually be available to the investor at the time of the trade the second reason is that we examine more complex trading strategies than those which have been employed in other studies the random walk literature provides a useful analogy the original random walk studies simply correlated past and future prices or returns later studies examined filter rules and other more complicated trading rules in this study we employ alternative trading rules of increased complexity to test for the existence of trading profits finally we explicitly examine the consequence of t bills futures contracts being futures rather than forward contracts futures contracts unlike forward contracts involve flows every settlement day the intermediate cash flows on futures contracts can affect the profitability of any strategy the only prior study that even considered this effect is the one by rendleman and carabini 1979 they used the theoretical model of cox ingersoll and ross 1981 to try to estimate whether the difference between forward and futures prices was likely to be large enough to affect the payoff from alternative trading strategies this is a useful first attempt however ultimately the effect of daily settlement or marking to the market has to be examined directly as part of trading strategies to see if it affects the outcome of these strategies there are other problems with prior studies these involve gross estimates of prices and averaging data in a way that can mask inefficiencies since these problems are discussed in some detail in rendleman and carabini there is no reason to review them further here probably no area in finance has received more attention than the efficiency literature the reader may well wonder why even given the approximareceived for publication august 23 1982 revision accepted for publication may 20 1983 new york university new york university and baruch college respectively the authors would like to thank the center for the study of futures markets at columbia business school for financial support

the economic analysis of biodiversity an assessment biodiversity is complex difficult to define difficult to measure and often involves international and intergenerational considerations biodiversity loss presents significant economic challenges a great deal of economics is required to understand the issues but a simple and important observation is that most species and ecosystems are not traded in markets so prices are often absent and biodiversity is under provided despite the formidable obstacles to high quality economic analysis economics has plenty to offer to biodiversity policy first economic valuation techniques can be employed to roughly estimate the value of the benefits provided by biodiversity and ecosystems second assessing the optimum amount of biodiversity involves recognizing that the conversion of natural capital into manufactured and human capital has so far generated vast amounts of wealth while there may have been too much biodiversity in the past economic analysis suggests that this is a difficult position to hold now third econometric techniques and carefully designed policy studies can assist in determining what policies are most suited to different contexts to cost effectively reduce biodiversity loss fourth political economy is helpful because international coordination is often required ecosystems do not respect national borders and many biodiverse ecosystems are in poorer countries this paper synthesizes the issues and proposes a research agenda which includes improving the measurement and accounting of natural capital improving valuation techniques and theory to provide greater guidance as to the optimum biodiversity and developing our understanding of the merits of different alternatives for government intervention to reduce biodiversity loss

innovations new market instruments any measure of the volume of financial innovation would register an explosion in the last ten years for example the swap market has grown from zero to hundreds of billions of dollars in this period the number of traded financial futures contracts has increased from a handful to nearly one hundred the explosion is one of both scale and variety even the british government now issues gilts with non standard coupon rates and conversion features apparently tailored to a whole range of specialised clienteles

the optimal inflation rate in new keynesian models should central banks raise their inflation targets in light of the zero lower bound we study the effects of positive steady state inflation in new keynesian models subject to the zero bound on interest rates we derive the utility based welfare loss function taking into account the effects of positive steady state inflation and solve for the optimal level of inflation in the model for plausible calibrations with costly but infrequent episodes at the zero lower bound the optimal inflation rate is low typically less than two percent even after considering a variety of extensions including optimal stabilization policy price indexation endogenous and statedependent price stickiness capital formation model uncertainty and downward nominal wage rigidities on the normative side price level targeting delivers large welfare gains and a very low optimal inflation rate consistent with price stability these results suggest that raising the inflation target is too blunt an instrument to efficiently reduce the severe costs of zero bound episodes

index futures arbitrage and the behavior of stock index futures prices this article examines intraday transaction datafor s p 500 stock indexfutures prices and the intraday quotes for the underlying index the data indicate that thefutures price changes are uncorrelated and that the variability of these price changes exceeds the variability ofprice changes in the s p 500 index this excess variability of the futures over the index remains even after controlling for the nonsynchronous prices in the index quotes which induces autocorrelation in the index changes we advance and examine empirically two hypotheses regarding the difference between the futures price and its theoretical value that this mispricing increases on average with maturity and that it is path dependent evidence supporting these hypotheses is presented

pricing factors in multiple term structures from interbank rates abstract this article analyzes the reward for the risk embedded in interbank derivatives seeking to characterize the size and economic sources of the components of this risk premium in interbank spread quotes the basis swap bs spreads floating to floating interest rate swaps are employed as a vehicle used by investors to express their views concerning the risk of borrowing on the interbank market our results show that the size of the risk premium ranges from 20 to 60 basis points depending on the tenor during periods of financial distress moreover the evolution of this risk premium increases dramatically after august 2007 primarily due to the evolution of credit variables such as sovereign and financial sector risks finally we also document important sources of commonality between risk premiums at different tenors an analysis of the determinants of risk premia reveal that investors compensation relates to financial sector credit and liquidity uncertainty and risk aversion

are investments to promote biodiversity conservation and ecosystem services aligned the conserv ation community is divided over the proper objective for conservation with one faction focused on ecosystem services that contribute to human well being and another faction focused on the intrinsic value of biodiversity despite the underlying difference in philosophy it is not clear that this divide matters in a practical sense of guiding what a conservation organization should do in terms of investing in conservation in this paper we address the degree of alignment between ecosystem services and biodiversity conservation strategies using data from the state of minnesota usa minnesota voters recently passed an initiative that provides approximately 171m annually in dedicated funding for conservation we find a high degree of alignment between invest ing conservation funds to target the value of ecosystem services and investing them to target biodi versity conservation targeting one of these two objectives generates 47 70 per cent of the maximum score of the other objective we also find that benefits of conservation far exceed the costs with a return on investment of between 2 to 1 and 3 to 1 in our base case analysis in general investing in conservation to increase the value of ecosystem services is also beneficial for biodiversity conserva tion and vice versa

the economic effects of climate change greenhouse gas emissions are fundamental both to the world s energy system and to its food production the production of co2 the predominant gas implicated in climate change is intrinsic to fossil fuel combustion specifically thermal energy is generated by breaking the chemical bonds in the carbohydrates oil coal and natural gas and oxidizing the components to co2 and h2o one cannot have cheap energy without carbon dioxide emissions similarly methane ch4 emissions an important greenhouse gas in its own right are necessary to prevent the build up of hydrogen in anaerobic digestion and decomposition one cannot have beef mutton dairy or rice without methane emissions climate change is the mother of all externalities larger more complex and more uncertain than any other environmental problem the sources of greenhouse gas emissions are more diffuse than any other environmental problem every company every farm every household emits some greenhouse gases the effects are similarly pervasive weather affects agriculture energy use health and many aspects of nature which in turn affects everything and everyone the causes and consequences of climate change are very diverse and those in low income countries who contribute least to climate change are most vulnerable to its effects climate change is also a long term problem some greenhouse gases have an atmospheric life time measured in tens of thousands of years the quantities of emissions involved are enormous in 2000 carbon dioxide emissions alone and excluding land use change were 24 billion metric tons of carbon dioxide tco2

modeling sovereign yield spreads a case study of russian debt we construct a model for pricing sovereign debt that accounts for the risks of both default and restructuring and allows for compensation for illiquidity using a new and relatively efficient method we estimate the model using russian dollar denominated bonds we consider the determinants of the russian yield spread the yield differential across different russian bonds and the implications for market integration relative liquidity relative expected recovery rates and implied expectations of different default scenarios this paper develops a model of the termstructure of credit spreads on sovereign bonds that accommodates i default or repudiation the sovereign announces that it will stop making payments on its debt ii restructuring or renegotiation the sovereign and the lenders agree to reduce or postpone the remaining payments and iii a regime switch such as a change of government or the default of another sovereign bond that changes the perceived risk of future defaults we build on the framework of duffie and singleton 1999 showing that cash flows promised by a sovereign bond can be discounted using a default adjusted short termdiscount rate that reflects the m ean arrival rate and associated losses in market value upon arrival of each of the aforementioned types of credit events since a sovereign credit event is often not a liquidation event the model allows for continued trading and pricing of a sovereign instrument through credit events possibly after writedowns in face value or cash distributions to creditors on credit event dates additionally we accommodate the possibility that bonds issued by the same sovereign of exactly the same type but possibly of different maturities may be priced in the market using different discount factors reasons for this may include i bond covenants may not include cross default clauses that would force upon the default of one bond the simultaneous default of other bonds of the same type but of a different maturity for various strategic reasons related to internal

currency risk hedging futures vs forward abstract the objective of this paper is to address the issue of choosing between currency forward and currency futures contracts when hedging against currency risk within a stochastic interest rates environment we compare between the hedging effectiveness of the two derivative assets both within a narrow sense i e volatility minimization and within a wide sense i e risk return trade off when judging hedging effectiveness in the narrow sense forward and futures contracts give identical results even if they do not have identical prices when judging hedging effectiveness in the wide sense the choice between the two contracts is determined by the correlation between the domestic and the foreign term structures dynamics

a comparison of forward and futures prices of an interest rate sensitive financial asset this paper focuses on contractual distinctions as an explanation for the price divergence between futures and forward contracts specifically it investigates the effect of marking to market on the observed price differences using the pricing model described in cox ingersoll and ross cir 1981 journal of financial economics 9 321 346 using previously unavailable data this paper employs eurodollars an interest rate sensitive financial asset to test the cir model unlike prior empirical studies test results support both the weak prediction concerning the sign of the average price difference and the stronger prediction that specific covariances explain the variation in the price differences futures contracts and forward contracts are fundamentally similar both contracts are agreements between two parties to trade a specific good or asset at a future date at a price determined today these agreements facilitate the transfer of risk between contracting parties permitting the creation of hedging strategies in spite of their conceptual similarity the implementation of these two contracts is quite different participants in futures markets trade highly standardized contracts by open outcry on organized exchanges clearing associations tor the exchanges control default risk by assuming the opposite side of each transaction guaranteeing payment to reduce traders incentive to default the exchanges mark positions to market by settling contract gains and losses daily in contrast to the futures market the market for forward contracts is mostly an over the counter market in the absence of a clearinghouse trader reputation helps control default risk unlike futures contracts no markingto market occurs the parties in the contract make no payments until maturity of the contract the forward market for financial interest rate instruments departs even further from the futures market format a trader can use the cash market for interest rate instruments to establish a forward position for example a trader can secure a forward position for a three month t bill beginning three months in the future by buying a t bill with a six month maturity and selling a t bill with a three month maturity

competition among exchanges does competition among e nancial intermediaries lead to excessively low standards to examine this question we construct a model where intermediaries design contracts to attract trading volume taking into consideration that traders differ in credit quality and may default when credit quality is observable intermediaries demand the right amount of guarantees a monopolist would demand fewer guarantees private information about credit quality has an ambiguous effect in a competitive environment when the cost of default is large small private information leads to higher lower standards we exhibit examples where private information is present and competition produces higher standards than monopoly does i introduction in spite of the general acceptance of the competitive mechanism as an allocation scheme many observers consider e nancial intermediation an exception competition is thought to lead to a race to the bottom in which e nancial intermediaries settle for excessively low levels of contractual guarantees in an attempt to increase volume evaluating futures exchanges a joint report from the treasury and the federal reserve board written in the wake of the 1987 crash states that t here is sufe cient possibility that at some point sros self regulatory organizations might establish margins that were inconsistent enough to present market problems or set them at levels that might present potential costs to other parties that regulatory approval should be established in all markets 1

pricing of long dated commodity derivatives do stochastic interest rates matter abstract does modelling stochastic interest rates beyond stochastic volatility improve pricing performance on long dated commodity derivatives to answer this question we consider futures price models for commodity derivatives that allow for stochastic volatility and stochastic interest rates and a correlation structure between the underlying variables we examine the empirical pricing performance of these models on pricing long dated crude oil derivatives estimating the model parameters from historical crude oil futures prices and option prices we find that stochastic interest rate models improve pricing performance on long dated crude oil derivatives when the interest rate volatility is relatively high furthermore increasing the model dimensionality does not tend to improve the pricing performance on long dated crude oil option prices but it matters for long dated futures prices we also find empirical evidence for a negative correlation between crude oil futures prices and interest rates that contributes to improving fit to long dated crude oil option prices

taxes and the pricing of stock index futures stock index futures prices are generally below the level predicted by simple arbitrage models this paper suggests that the discrepancy between the actual and predicted prices is caused by taxes capital gains and losses are not taxed until they are realized as constantinides demonstrates in a recent paper this gives stockholders a valuable timing option if the stock price drops the investor can pass part of the loss on to the government by selling the stock on the other hand if the stock price rises the investor can postpone the tax by not realizing the gain since this option is not available to stock index futures traders the futures prices will be lower than standard no tax models predict on 24 february 1982 the kansas city board of trade began trading futures contracts on the value line average stock index during the next two months both the chicago mercantile exchange and the new york futures exchange also initiated trading in stock index futures although these contracts are actively traded their prices have puzzled both practitioners and academics the observed

factor models and the correlation structure of interest rates some evidence for usd gbp dem and jpy abstract the aim of this paper is to develop models for producing accurate forecasts for the correlation of spot and forward interest rates correlation forecasts generated from factor models where the correlations are expressed as a function of few underlying factors are compared to forecasts produced by less sophisticated models like the full historical and constant correlation model contrary to previous studies where the selection of factors is rather arbitrary we test two factor identification methodologies the first is based on factor analysis and the second is based on minimising the residual cross correlations we show that a three factor model with factors identified by minimising the residual cross correlation criterion is sufficient to describe the correlation structure of interest rates furthermore we show that it might be preferable to assume that all forward rate correlations are equal rather than using a misspecified factor model and that the spot factor model developed consistently outperformed long established models like the barbell model

bond yields and the federal reserve bond yields respond to policy decisions by the federal reserve and vice versa to learn about these responses i model a high frequency policy rule based on yield curve information and an arbitrage free bond market in continuous time the fed s target is a pure jump process jump intensities depend on the state of the economy and the meeting calendar of the federal open market committee the model has closed form solutions for yields as functions of a few state variables introducing monetary policy helps to match the whole yield curve because the target is an observable state variable that pins down its short end and introduces important seasonalities around fomc meetings the volatility of yields is snake shaped which the model explains with policy inertia the policy rule crucially depends on the two year yield and describes fed policy better than taylor rules

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

identification of maximal affine term structure models building on duffie and kan 1996 we propose a new representation of affine models in which the state vector comprises infinitesimal maturity yields and their quadratic covariations because these variables possess unambiguous economic interpretations they generate a representation that is globally identifiable further this representation has more identifiable parameters than the maximal model of dai and singleton 2000 we implement this new representation for select three factor models and find that model independent estimates for the state vector can be estimated directly from yield curve data which present advantages for the estimation and interpretation of multifactor models

intertemporal commodity futures hedging and the production decision this paper deals with the producer s optimal use of commodity futures in hedging the framework for analysis is an intertemporal consumption and investment model the producer makes his production decisions at the beginning of the period and realizes his return at the end of the time interval during the period he faces both price and output uncertainties in applying stochastic dynamic programming methods this paper shows the effect of these risks on his consumption behavior further the paper investigates his optimal hedging positions in the futures market over time and his optimal production decisions finally implications of these results on the futures markets are discussed this paper studies a normative model of the farmer s optimal hedging strategy and consumption behavior in a continuous time framework recent papers for example berck 3 rolfo 18 stoll 21 have analyzed the farmer s hedging strategies in a one period context these papers have provided interesting insights into the farmer s production decisions and the optimal design of futures contracts and markets however in a one period model some rather restrictive conditions are imposed on the individual s behavior for example in these models an individual is assumed to ignore any information arrival process as a result the individual is assumed to adjust neither consumption behavior nor hedging positions to the changing state of the world during the production period these conditions can be relaxed in a continuous time framework in an intertemporal context the farmer s hedging problem may be viewed as follows since the farm income at harvest depends on both the spot price and the output in bushels the farmer is subject to both price and output uncertainties during the production period 1 when the farmer can hedge only in the commodity futures market he cannot eliminate both the price and output uncertainties by any hedging strategy 2 as the farm income represents a significant portion of his wealth he must necessarily hold an undiversified portfolio during the production period therefore in essence the farmer must solve for his investment consumption behavior and his hedging strategy facing the nonmarketable asset problem mayers 14 in a multiperiod framework in this context one can see intuitively the major difference between a one

taxes and the futures forward price difference in the 91 day t bill market this paper investigates a tax based explanation for the futures forward price divergence in the ninety one day t bill the explanation is firstly in terms of the distinction between capital gains and losses and ordinary gains and losses and secondly in terms of investors to whom the above distinction applies and investors such as broker dealers to whom it does not the empirical results are encouraging though more ambiguous in the post 1981 period overall it would seem that other factors in addition to taxes are also at work copyright 1989 by ohio state university press

forward and futures prices evidence from the foreign exchange markets empirical studies of the treasury bill markets have revealed substantial differences between the futures price and the implied forward price these differences have been attributed to taxes transaction costs and the settling up procedure employed in the futures market this paper examines the forward and futures prices in foreign exchange in an attempt to distinguish between the competing explanations empirical studies of the treasury bill market have revealed differences between the futures price or rate and the implicit forward price derived from the term structure of interest rates 1 these differences have generally been attributed to market imperfections such as taxes and transaction costs see for example arak 1 capozza and cornell 2 and rendelman and carabini 6 recently however cox ingersoll and ross 3 henceforth cir derived a model in which forward and futures prices need not be equal even in perfect markets without taxes as long as interest rates are stochastic the significance of the cir effect may be hard to investigate using only data from the bill market because of the potentially complicating effects of taxes and transaction costs unique to this market by using data from the foreign exchange market we are able to eliminate the tax effect and reduce the impact of transaction costs the question we address is whether the discrepancies observed in the treasury bill market are also observed in the foreign exchange market if they are then we have evidence that the differences are due to a combination of the cir effect and the transaction costs common to both markets if they are not then either the magnitude of the cir effect is much less in the foreign exchange market or the treasury bill results are due to the unique tax treatment and transaction costs of that market this paper is organized as follows in section i the trading mechanics of the forward and futures markets in foreign exchange are discussed section ii reviews the explanations for the discrepancies between the forward and futures prices for treasury bills the institutional differences between the foreign exchange and bill markets are also summarized to show which of these explanations cannot apply to the foreign exchange market in section iii the data are decribed and the empirical results are presented the conclusions are summarized in the final section

solving for optimal simple rules in rational expectations models this paper presents algorithms that solve for optimal simple monetary policy rules in rational expectations models with precommitment and discretion the algorithms are applied to the models in fuhrer j money credit banking 29 1997 214 clarida et al j econ lit 37 1999 1661 and rudebusch econ j 112 2002 402 to examine the efficiency properties of operational policy rules we show that optimized taylor type rules preform well in these models but that aside from the fuhrer moore model this result is sensitive to whether the central bank can respond to current period shocks taylor type rules that are operational in the sense that they do not respond to current period information are found to be highly inefficient in the rudebusch model and in the clarida et al 1999 model

default risk in a market model abstract this paper presents a theoretical model of default risk in the context of the market model approach to interest rate dynamics we propose a model for finite interval interest rates such as libor which explicitly takes into account the possibility of default through the influence of a point process with deterministic intensity we relate the defaultable interest rate to the non defaultable interest rate and to the credit risk characteristics default intensity and recovery rate we find that the spread between defaultable and non defaultable rate depends on the non defaultable rate even when the default intensity is deterministic prices of a cap on the defaultable rate and of a credit spread option are derived we consider swaps with unilateral and bilateral default risk and derive the fair fixed swap rate in both cases under the condition that both counterparties are of the same risk class we show that for a monotonously increasing term structure the swap rate for a defaultable swap will lie below the swap rate for a swap without default risk

econometric modelling of non ferrous metal prices abstract this article evaluates the significance of the empirical models and the distributional properties of prices in non ferrous metal spots and futures markets published in leading refereed economics and finance journals between 1980 and 2002 the survey focuses on econometric analyses of pricing and return models applied to exchange based spot and futures markets for the main industrially used non ferrous metals namely aluminium copper lead nickel tin and zinc published empirical research is evaluated in the light of the type of contract examined frequency of data used choice of both dependent and explanatory variables use of proxy variables type of model chosen economic hypotheses tested methods of estimation and calculation of ses for inference reported descriptive statistics use of diagnostic tests of auxiliary assumptions use of nested and non nested tests use of information criteria and empirical implications for non ferrous metals

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