pricing american interest rate claims with humped volatility models abstract some of the most recent empirical studies on interest rate derivatives have found humped shapes in the volatility structure of interest rates in this paper we propose a simple model that allows for humped volatility structures and that can be described by one state variable with the model american style claims can be priced very efficiently which is very important if the model has to be calibrated daily to market prices of standard american options furthermore the model allows for explicit formulas for european style options finally the computational efficiency of our model in the li et al 1995 framework is compared with the efficiency in a typical hull and white 1993a 1994 1996 framework in fact we can use both procedures for our model since we prove that if a deterministic volatility model can be embedded in either of these algorithms then so it does in the other one empirical evidence from option data supporting our model is provided as well

fiscal discriminations in three wars in 1790 a u s paper dollar was widely held in disrepute something shoddy was not worth a continental by 1879 a u s paper dollar had become as good as gold these outcomes emerged from how the u s federal government financed three wars the american revolution the war of 1812 and the civil war in the beginning the u s government discriminated greatly in the returns it paid to different classes of creditors but that pattern of discrimination diminished over time in ways that eventually rehabilitated the reputation of federal paper money as a store of value

a paradox of thrift in general equilibrium without forward markets after 2008 the us personal saving rate had its strongest postwar jump from 2 to 5 and the investment ratio its sharpest fall from its postwar average of 16 to its lowest level of 12 the coordination of saving and investment is analyzed here in a theoretical model of general equilibrium with rational expectations and no forward market shocks affect preferences for future consumption a paradox of thrift is proven that formalizes an argument in the general theory of keynes but the equilibrium is a constrained pareto optimum textbook fiscal policies are neutral at best or inefficient

stabilizing monetary injection policies abstract the primary concern of this paper is understanding how prices and interest rates respond to open market operations in a model economy developed by grossman and weiss but with more general utility functions we establish global existence of equilibrium paths and observe that prices and interest rates rise initially but thereafter oscillate around a new steady state also investigated are optimal monetary policies wherein injections take place in more than one time period and corresponding to which the equilibrium prices are most stable existence of such policies is established by mathematical analysis and its detailed structure explored by numerical simulation journal of economic literature classification numbers e50 e52

allocative effects of financial assets and the long run neutrality of money when markets are incomplete abstract we analyze the allocative role of money as a numeraire in an intertemporal general equilibrium model with incomplete financial markets and nominal financial instruments it is shown that regardless of their return specification nominal assets in net supply increase the consumption risk and trigger an endogenous monetary process which diminishes the influence of these assets on the equilibrium allocation through time the nonneutrality of money claimed in the recent literature is a temporary phenomenon only asymptotically the traditional neutrality theorems are valid

assets general equilibrium and the neutrality of money when government liabilities including money are held in private portfolios only as stores of value and do not provide additional services such as liquidity real variables are not affected by changes in the money supply due to the government s trading in real assets open market operations this neutrality of monetary policy fails if the government either trades in nominal assets or it distributes subsidies and levies taxes the ability of monetary policy to affect real variables is an important issue and has been the subject of numerous theoretical and empirical studies the most useful theoretical framework within which to address the problem is a model of asset markets where the demand for money or other government liabilities is determined by rational portfolio choice tobin 1958 these assets may of course provide additional services such as transactions and liquidity we assume here however that these services do not exist the standard argument for the effectiveness of monetary policy goes as follows changes in the supply of money affect the price level and hence the distribution of returns to money as an asset as individuals realign their portfolios and prices adjust to maintain market clearing the equilibrium holdings of physical assets change in this case money is not neutral we shall argue however that as long as changes in the supply of money are effected through the government s trading in real assets this argument is in general not valid it is well known that the effectiveness of monetary policy depends on the method of injection of new money into the economy two procedures are used by the government to effect changes in the supply of money it either trades in assets nominal or real open market operations or it distributes subsidies and levies taxes we show here that open market operations in real assets capital or indexed bonds have no effects on real variables in a general equilibrium model with market clearing the argument which can also be applied to the management of the public debt is presented in a most general framework in the next section it does not depend on the existence of a complete system of contingent securities or on an operative bequest motive furthermore it is compatible with incomplete and differential information the result is similar to the modigliani miller theorem in corporate finance that an argument along these lines can be employed to demonstrate the irrelevance of open

the relevance or otherwise of the central bank s balance sheet abstract this paper explores the impacts on an economy of a central bank changing the size and composition of its balance sheet one of the ways in which such asset purchases could influence prices and demand is via portfolio balance effects we develop and calibrate a simple olg model in which risk averse households hold money and bonds to insure against risk central bank asset purchases have the potential to affect households choices by changing the composition and return of their asset portfolios we find that the effect is weak and that its size depends on how fiscal policy is conducted that is not to say that the big expansion of central bank balance sheets in recent years has been ineffective our finding is rather that the portfolio balance channel evaluated in an environment of normally functioning though nonetheless incomplete asset markets is weak that is not inconsistent with the evidence that large scale asset purchases by central banks since 2008 have had significant effects because those purchases were made when financial markets were to varying extents dysfunctional nonetheless our results are relevant to those purchases because they may be unwound in an environment where financial markets are no longer dysfunctional

the dynamics of the forward interest rate curve a formulation with state variables the objective of this paper is twofold first the paper develops a class of models of the term structure of interest rates in the heath jarrow and morton 1992 framework with dynamics characterized by the evolution of a small set of state variables second the paper exploits this characterization of the dynamics of the term structure in an estimation exercise that makes use of both the time series and cross section of bond prices in this way our class of models bridges the gap between traditional models such as cox ingersoll and ross 1985 and vasicek 1977 that emphasize the dynamics of interest rates and the models of heath jarrow and morton 1992 that stress fitting the cross section of bond prices

a role for monetary policy when prices reveal information an example in an example monetary policy can determine the information revealed by prices and thus it can be effective monetary policy that varies only with public information can guarantee the full revelation of information at equilibrium which is optimal full indexation need not attain full revelation and as a consequence need not implement an optimal allocation

where to draw lines stability versus efficiency what kinds of assets should financial intermediaries be permitted to hold what kinds of liabilities should they be allowed to issue should a government or a central bank offer explicit deposit insurance or implicit deposit insurance by acting as a lender of last resort this paper reviews how tensions involving stability versus efficiency and regulation versus laissez faire have for centuries run through macroeconomic analysis of these questions

empirical tests of two state variable heath jarrow morton models models for pricing interest rate claims developed under the heath jarrow morton paradigm differ according to the volatility structure imposed on forward rates for most general hjm structures the resultant path dependence creates implementation problems ritchken and sankarasubramanian have recently identified necessary and sufficient conditions on the class of volatility structures of forward rates that enable the term structure dynamics to be captured by a finite set of state variables the class is quite rich the instantaneous spot rate volatility may be quite general but the model curtails the structure of forward rate volatilities relative to this spot rate volatility this article provides empirical tests for this class of volatility structures unlike other studies the volatility structure is examined over a broad section of maturities in the yield curve using treasury data over the period 1982 94 we find support for this class furthermore unlike other studies no evidence of a volatility hump is identified copyright 1996 by ohio state university press

the challenge of monetary theory departing from custom i want to address a problem that needs to be solved rather than one that has been solved i do not have much to contribute to its solution but i believe that the problem is important and want to focus attention on it in general terms the problem is to find appropriate conceptual foundations for monetary economics i believe that we do not as yet have a suitable theoretical framework for studying the functioning of a monetary system the main obstacle to the development of such a framework is our habit of thinking in terms of frictionless organized i e walrasian markets the problem is partly a problem of language the central concepts of economics demand supply and price are concepts that presuppose a system of centralized walrasian markets we are used to thinking in terms of these concepts and we tend to apply them rather automatically to the market for money frequently without realizing that the market for money must be a rather non walrasian market if indeed it can be called a market at all more or less all the models of monetary economics that are being used in practice proceed in this way using artifical adaptations of the walrasian centralized markets model to accommodate money without actually giving an account of what the role of money in the economy is the problem is one of pure economic theory however it bears on many important questions of applied economics and economic policy to study the relation between money income and prices we need a framework which gives a satisfactory account of the relation between the monetary system and the price mechanism to study the effects of central bank open market

the relevance of financial policy when the asset market is incomplete equilibrium allocations are not invariant to changes in the financial policies of firms in the presence of secondary assets such as options whose payoffs depend nonlinearly on the price of equity the range of attainable reallocations of revenue varies as a firm alters its position in the asset market corporate financial policy is thus relevant when assets are nominal monetary policy implemented through open market operations is also effective

price smoothing policies a welfare analysis in post wwii experience u s monetary authorities have attempted to eliminate seasonal fluctuations in prices and nominal interest rates developments in financial markets and recently discovered empirical regularities regarding the seasonal cycle seem to make these activities questionable using a money in the utility function model this paper analyzes the welfare properties of price and interest rate smoothing policies and the sense in which the distinction between seasonal and cyclical fluctuations is relevant it is shown that smoothing policies are welfare improving but not optimal and that the origin of the shocks not the persistence of the fluctuations is relevant in formulating policies

stochastic inflation and government provision of indexed bonds abstract this paper examines the consequences of using indexed bonds as one of the government financing instruments along with money and taxes it is shown that open market operations between money and indexed bonds do not matter in a real sense despite their different risk characteristics increasing the share of indexed bonds in the government portfolio increases the volatility and the conditional mean of real rates of return on money when provided by means other than open market operations indexed bonds can affect the allocation of resources but these reallocations cannot be pareto improving

the ties that bind monetary policy and government debt management the financial crisis and subsequent economic recession led to a rapid increase in the issuance of public debt but large scale purchases of bonds by the federal reserve and other major central banks have significantly reduced the scale and maturity of public debt that would otherwise have been held by the private sector we present new evidence that tilting the maturity structure of private sector holdings significantly influences term premia even outside crisis times our framework helps explain both the bond yield conundrum and the effectiveness of quantitative easing we suggest that these findings raise two important policy questions one is should a central bank contrary to recent orthodoxy use its balance sheet as an additional complementary instrument of monetary policy to influence as part of the monetary transmission mechanism the long term interest rate the second is how should central banks and governments ensure that debt management properly takes account of the implications for both monetary and financial stability

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

expectations and the nonneutrality of lucas abstract this paper was written to kick off the conference celebrating the anniversary of lucas s expectations and the neutrality of money it recalls the state of macroeconomics in the late 1960 s cites some technical and substantive precursors of lucas s idea and explores the legacies of the equilibrium concept monetarism fiscalism and standards proposed in lucas s paper

do open market operations matter theory and evidence from the second bank of the united states abstract modigliani miller theorems for open market operations describe conditions under which central bank portfolio rearrangements will have no consequences for allocations relative prices or the time path of the price level such theorems for government owned central banks have limited applicability and hence are difficult to test we develop a modigliani miller theorem for privately owned central banks and test its implications using data from the second bank of the united states the data are consistent with an absence of price level effects due to open market operations and are inconsistent with standard versions of the quantity theory of money

risk management implications of time inconsistency model updating and recalibration of no arbitrage models a widespread approach in the implementation of asset pricing models is based on the periodic recalibration of its parameters and initial conditions to eliminate any conflict between model implied and market prices modern no arbitrage market models facilitate this procedure since their solution can usually be written in terms of the entire initial yield curve as a result the model fits by construction the interest rate term structure this procedure is however generally time inconsistent since the model at time t 0 completely specifies the set of possible term structures for any t 0 in this paper we analyze the pros and cons of this widespread approach in pricing and hedging both theoretically and empirically the theoretical section of the paper shows a under which conditions recalibration improves the hedging errors by limiting the propagation of an initial error b that recalibration introduces timeinconsistent errors that violate the self financing argument of the standard replication strategy the empirical section of the paper quantifies the trade off between a and b under several scenarios first we compare this trade off for two economies with and without model specification error then we discuss the trade off when the underlying economy is not markovian 2005 elsevier b v all rights reserved

the dynamics of inflation with constant deficit under expected regime change a model that describes the dynamics of inflation with a fully anticipated stabilization program is developed it is shown that with a constant deficit an economy tends to stay at the neighborhood of the lower of the two state inflation rates that are compatible with the deficit further increasing inflation rates prior to the stabilization are compatible only with deficits that are lower than the maximal feasible staedy state deficits and with a stabilization program that reduces the demand for real balances if these conditions are not met inflation decreases towards the stabilization date it is argued that the data generated by actual inflationary episodes fit the conditions described above and corroborate the model this abstract was borrowed from another version of this item this abstract was borrowed from another version of this item

a new way of thinking about the current account extending the theory of generational accounts the author shows that the conventional current account is not related to the real effects of a country s fiscal policy for any international array of fiscal policies a country can implement its own policy so that the conventional government and current account deficits are zero in every period the author argues that economists should develop a new measure of the current account this measure is forward looking and keeps track of expected transfers between countries copyright 1995 by economics department of the university of pennsylvania and the osaka university institute of social and economic research association

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

on the equivalence of private and public money abstract when does a swap between private and public money leave the equilibrium allocation and price system unchanged to answer this question the paper sets up a generic model of money and liquidity which identifies sources of seignorage rents and liquidity bubbles we derive sufficient conditions for equivalence and apply them in the context of the chicago plan cryptocurrencies the indian de monetization experiment and central bank digital currency cbdc our results imply that cbdc coupled with central bank pass through funding need not imply a credit crunch nor undermine financial stability

what determines the survival of internet ipos this article examines whether the variables that are significant in noninternet initial public offering ipos play a similar role for internet ipos to this end we analyse the determinants of survival of internet firms that have gone public at the nasdaq stock exchange from december 1996 through february 2001 financial and nonfinancial data published in the ipo prospectuses are examined for our analysis we use the semiparametric cox proportional hazard model and estimate the effect of these variables on the trading survival time using the parametric log logistic survival model it appears that the average operating history of internet ipos is remarkably small compared to noninternet ipos namely 2 4 and 10 years respectively furthermore we find that the average number of risk factors for internet ipos is four times higher than the number reported for noninternet ipos the results of the parametric analysis correspond to the semiparametric results our findings hold under a number of different mo