who withdraws housing equity and why the decision to extract home equity is examined using household level data for the uk over 1993 2003 at its peak during the period around 1 in 10 homeowners withdraw equity per year little is known about this financial decision i find that the equity withdrawal decision conforms to predictions from the standard life cycle framework and models that predict its use as a financial buffer the paper also estimates responses to the large house price appreciation and significant reductions in mortgage rates seen during the period

understanding differences in household financial wealth between the united states and great britain in this paper we describe the household wealth distribution in the united states and united kingdom over the past two decades and compare both wealth inequality and the form in which wealth is held unconditionally there are large differences in financial wealth between the two countries at the top fifth of the wealth distribution even after controlling for age and income differences between the two countries we show that the median u s household accumulates more financial wealth than their united kingdom counterpart does we explore a number of alternative reasons for these differences and reject some explanations as implausible some of the observed differences are due to what we refer to as initial conditions in particular previously high rates of corporate equity ownership in the u s and housing ownership among young british households this only provides a partial explanation however among other explanations are differences in the annuitization of retirement incomes and in the amount of wealth held in the form of housing equity in the first case forced and voluntary annuitization in the united kingdom mean older households face considerably less longevity risk in the second higher house price volatility in the united kingdom can create an incentive as shown banks blundell and smith 2002 used from stock market equity earlier in the life cycle

the impact of house prices on consumption in the uk a new perspective this paper proposes an alternative approach to the question of how house prices influence household consumption by focusing on their impact on mortgage equity withdrawal and household saving household level data are used to derive a measure of expected and unexpected changes in house prices these are then incorporated into a recursive bivariate probit model of the decision to withdraw housing equity and save the results suggest that households respond to changes in their housing wealth primarily by increasing their mortgage borrowing rather than by decreasing their savings although this is mainly for younger households however while changes in housing wealth do not have a direct impact on household saving they do have an important indirect impact since they increase the likelihood that the household will withdraw equity which in turn has a negative impact on household saving

pricing options on scenario trees abstract we examine valuation procedures that can be applied to incorporate options in scenario based portfolio optimization models stochastic programming models use discrete scenarios to represent the stochastic evolution of asset prices at issue is the adoption of suitable procedures to price options on the basis of the postulated discrete distributions of asset prices so as to ensure internally consistent portfolio optimization models we adapt and implement two methods to price european options in accordance with discrete distributions represented by scenario trees and assess their performance with numerical tests we consider features of option prices that are observed in practice we find that asymmetries and or leptokurtic features in the distribution of the underlying materially affect option prices we quantify the impact of higher moments skewness and excess kurtosis on option prices we demonstrate through empirical tests using market prices of the s p500 stock index and options on the index that the proposed procedures consistently approximate the observed prices of options under different market regimes especially for deep out of the money options

framing effects in public goods prospect theory and experimental evidence this paper studies both theoretically and experimentally frame effects in the context of a public good game in which players have to make a costly contribution either i to achieve or ii not to lose a non excludable monetary prize our protocol leads to public good provision not deterioration only if a certain contribution level is achieved since both frames differ with respect to the reference point we use prospect theory to derive testable predictions in particular prospect theory predicts more contribution in the second frame our evidence suggests that a subjects behavior is highly sensitive to frames and b the theoretical prediction is confirmed except when the threshold is low we also estimate the parameters which better suit our experimental evidence partly confirming previous results in the literature

lp modeling for asset liability management a survey of choices and simplifications dynamic linear programming lp models for asset liability management alm are quite powerful and flexible but face two challenges 1 many modeling choices not all consistent with one another or with finance theory and 2 solution difficulties due to the large number of scenarios obtained from standard interest rate models we first survey these modeling choices with a view to help researchers make self consistent choices next we review how the dynamic lp model for alm and the representation of uncertainty therein have been simplified in the past to motivate new or hybrid models emphasizing tractability to this end we review existing static lp models as extreme modeling simplifications and aggregation as a simplification of uncertainty

integrating market and credit risk a simulation and optimisation perspective abstract we introduce a modelling paradigm which integrates credit risk and market risk in describing the random dynamical behaviour of the underlying fixed income assets we then consider an asset and liability management alm problem and develop a multistage stochastic programming model which focuses on optimum risk decisions these models exploit the dynamical multiperiod structure of credit risk and provide insight into the corrective recourse decisions whereby issues such as the timing risk of default is appropriately taken into consideration we also present an index tracking model in which risk is measured and optimised by the cvar of the tracking portfolio in relation to the index in sample as well as out of sample backtesting experiments are undertaken to validate our approach the main benefits of backtesting that is ex post analysis are that a we gain insight into asset allocation decisions and b we are able to demonstrate the feasibility and flexibility of the chosen framework

does information matter in the commons experimental evidence abstract common pool resources cprs typically involve interaction where precise information about payoffs is absent however all experimental studies of cprs we are aware of study environments where the payoff structure is known in this paper we address the behavioral consequences of two degrees of information on the mapping between decisions and payoffs we run two treatments one with complete information on the payoff structure and one with none remarkably aggregate behavior is not significantly different between the two treatments in both cases the aggregate tendencies converge to the nash equilibrium furthermore the best reply dynamics organize individual behavior in both treatments remarkably well

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

house price shocks negative equity and household consumption in the united kingdom we examine the impact of unanticipated housing capital gains on consumption behavior using data from the british household panel survey and county level house price data we condition the models on household financial expectations and on household real financial capital gains imputed from the family resources survey we find a marginal propensity to consume out of unanticipated shocks to housing wealth of 0 01 omitting the measure of financial expectations biases the results upward we find little evidence of heterogeneity in responses of young and old homeowners but differences between owners and renters we also find asymmetric behavior between house price rises and falls and a disproportionate impact on saving if the household had negative housing equity at the start of the period jel d91 e21 r31 c 2010 by the european economic association

pricing and risk management of interest rate swaps this paper reformulates the valuation of interest rate swaps swap leg payments and swap risk measures all under stochastic interest rates as a problem of solving a system of linear equations with random perturbations a sequence of uniform approximations which solves this system is developed and allows for fast and accurate computation the proposed method provides a computationally efficient alternative to monte carlo based valuations and risk measurement of swaps this is demonstrated by conducting numerical experiments and so our method provides a potentially important real time application for analysis and calculation in markets

dynamic models for fixed income portfolio management under uncertainty abstract we develop multi period dynamic models for fixed income portfolio management under uncertainty using multi stage stochastic programming with recourse the models integrate the prescriptive stochastic programs with descriptive monte carlo simulation models of the term structure of interest rates extensive validation experiments are carried out to establish the effectiveness of the models in hedging against uncertainty and to assess their performance vis a vis single period models an application to tracking the salomon brothers mortgage index is reported with very encouraging results results that establish the efficacy of the models in hedging against out of sample scenarios are also reported for an application from money management the multi period models outperform classical models based on portfolio immunization and single period models

the uk consumption boom of the late 1980s aggregate implications of microeconomic evidence two competing explanations of the uk consumer boom in the late 1980s are the financial liberalisation imperfect housing market hypothesis of muellbauer and murphy and the expectations hypothesis of king we use 15 years of family expenditure surveys and cohort analysis to investigate to what extent these two hypotheses agree with observed changes in consumption patterns we find that the housing markets explanation accounts for much of the increase by older cohorts but cannot be reconciled with the marked rise in expenditure levels of younger households a simple simulation exercise shows instead that the expectations hypothesis can generate increases of expenditure by young consumers of the magnitude observed in our data

house price shocks and household indebtedness in the united kingdom we use household panel data to explore the link between changes in house prices and household indebtedness both secured on housing assets and unsecured in the united kingdom we show that households which are borrowing constrained by a lack of housing equity as collateral make greater use of unsecured debt such as credit cards or personal loans in response to rising house prices which relax this constraint such households are more likely to refinance and to increase their indebtedness relative to unconstrained households however for most households house price movements appear to have little impact on indebtedness

liquidity constrained markets versus debt constrained markets this paper compares two different models in a common environment the first model has liquidity constraints in that consumers save a single asset that they cannot sell short the second model has debt constraints in that consumers cannot borrow so much that they would want to default but is otherwise a standard complete markets model both models share the features that individuals are unable to completely insure against idiosyncratic shocks and that interest rates are lower than subjective discount rates in a stochastic environment the two models have quite different dynamic properties with the debt constrained model exhibiting simple stochastic steady states while the liquidity constrained model has greater persistence of shocks

using the black derman toy interest rate model for portfolio optimization abstract no arbitrage interest rate models are designed to be consistent with the current term structure of interest rates the diffusion of the interest rates is often approximated with a tree in which the scenario dependent fair price of any security is calculated as the present value of the risk neutral expectation by backward induction to use this tree in a portfolio optimization context it is necessary to account for the so called market price of risk in this paper we present a method to change the conditional probabilities in the black derman toy model to the physical or real measure including the market price of risk and explore the economic implications for expected spot rates and for expected bond returns

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

strategic complements and substitutes and potential games abstract we show that games of strategic complements or substitutes with aggregation are pseudo potential games the upshot is that they possess nash equilibria in pure strategies ne even if the strategy sets are not convex and that various dynamic processes converge to ne in particular ne exist in cournot oligopoly with indivisibilities in production our notion of aggregation is quite general and enables us to take a unified view of several disparate models

pricing and hedging interest rate options evidence from cap floor markets we examine the pricing and hedging performance of interest rate option pricing models using dailydata on us dollar cap and floor prices across both strike rates and maturities our results show that fitting the skew of the underlying interest rate probability distribution provides accurate pricing results within a one factor framework however for hedging performance introducing a second stochastic factor is more important than fitting the skew of the underlying distribution this constitutes evidence against claims in the literature that correctly specified and calibrated one factor models could replace multi factor models for consistent pricing and hedging of interest rate contingent claims 2004 elsevier b v all rights reserved

who is credit constrained in the u s economy an important assumption of the life cycle model of consumption is the postulate of perfect capital markets this hypothesis has recently been challenged by substantial empirical evidence hall and mishkin 1982 using the panel study of income dynamics estimate that 20 percent of united states families are liquidity constrained mariger 1986 derives a life cycle model with endogenous liquidity constraints and using a cross section estimates this fraction to be 19 4 percent hubbard and judd 1986 simulate a model with a constraint on net worth which shows that with reasonable assumptions about preferences 19 0 percent of united states consumers are liquidity constrained the emerging consensus points therefore to a fraction of approximately 20 percent of the population behaving in a manner that is inconsistent with the pure life cycle model in addition hayashi 1985 and zeldes 1989 investigate the correlation among consumption wealth and income for various population groups and infer that liquidity constraints are more important for younger families with low levels of wealth and saving the main limitation of these studies is that in their data sets constrained consumers are not observable and have to be identified via indirect evidence thus there is as yet little firm evidence about the characteristics of the consumers who are likely to be credit constrained this paper adopts an approach that differs from previous tests for liquidity constraints because it makes use of data where constrained consumers are observable and explicitly links their existence to credit market imperfections and personal characteristics the data drawn from the 1983 survey of consumer finances scf and described in section ii provide information on individuals whose request for credit has been rejected by financial intermediaries in section iii a model is developed in which consumers and lenders behavior jointly determines the probability that a consumer is rationed in the credit market this probability is then

fragility of the commons under prospect theoretic risk attitudes abstract we study a common pool resource game where the resource experiences failure with a probability that grows with the aggregate investment in the resource to capture decision making under such uncertainty we model each player s risk preference according to the value function from prospect theory we show the existence and uniqueness of a pure nash equilibrium when the players have heterogeneous risk preferences and under certain assumptions on the rate of return and failure probability of the resource greater competition vis a vis the number of players increases the failure probability at the nash equilibrium we quantify this effect by obtaining bounds on the ratio of the failure probability at the nash equilibrium to the failure probability under investment by a single user we further show that heterogeneity in attitudes towards loss aversion leads to higher failure probability of the resource at the equilibrium

the term structure of interest rates with housing abstract this paper develops a general equilibrium model to study the link between the amount of capital invested in housing assets and the term structure of interest rates in the model the production of housing assets is irreversible and housing assets can be used as collateral for borrowing funds agents decisions about consumption and investments in housing and non housing assets generate a time varying market price of risk that drives the dynamics of the term structure the calibration to u s data using the simulated method of moments technique captures the dynamics of consumption and the short and long term interest rates

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

a dynamic model for the forward curve this article develops and estimates a dynamic arbitrage free model of the current forward curve as the sum of i an unconditional component ii a maturity specific component and iii a date specific component the model combines features of the preferred habitat model the expectations hypothesis et and affine yield curve models it permits a class of low parameter multiple state variable dynamic models for the forward curve we show how to construct alternative parametric examples of the three components from a sum of exponential functions verify that the resulting forward curves satisfy the heath jarrow morton hjm conditions and derive the risk neutral dynamics for the purpose of pricing interest rate derivatives we select a model from alternative affine examples that are fitted to the fama bliss treasury data over an initial training period and use it to generate out of sample forecasts for forward rates and yields for forecast horizons of 6 months or longer the forecasts of this model significantly outperform those from common benchmark models jel c53 e43 e47 the structure of forward rates for fixed maturity loans to begin at various dates in the future can be inferred from the prices of treasury securities or directly observed from the extremely active eurodollar futures market the constellation of these rates or of the related yields plays a central role intheallocationofcapital therandombehaviorofthis yieldcurve or the relationship between the yields and the term to maturity is a subject of considerable theoretical and empirical study

booms and busts consumption house prices and expectations over much of the past 25 years house price and consumption growth have been closely synchronized three main hypotheses for this have been proposed increases in house prices raise household wealth and so their consumption house price growth reduces credit constraints by increasing the collateral available to homeowners and house prices and consumption are together influenced by common factors using microeconomic data we find that the relationship between house prices and consumption is stronger for younger than older households contradicting the wealth channel we suggest that common causality has been the most important factor linking house prices and consumption

house prices borrowing constraints and monetary policy in the business cycle i develop a general equilibrium model with sticky prices credit constraints nominal loans and asset prices changes in asset prices modify agents borrowing capacity through collateral value changes in nominal prices affect real repayments through debt deflation monetary policy shocks move asset and nominal prices in the same direction and are amplified and propagated over time the financial accelerator is not constant across shocks nominal debt stabilises supply shocks making the economy less volatile when the central bank controls the interest rate i discuss the role of equity debt indexation and household and firm leverage in the propagation mechanism finally i find that monetary policy should not target asset prices as a means of reducing output and inflation volatility

discretized reality and spurious profits in stochastic programming models for asset liability management in the literature on stochastic programming models for practical portfolio investment problems relatively little attention has been devoted to the question how the necessarily approximate description of the asset price uncertainty in these models influences the optimal solution in this paper we will show that it is important that asset prices in such a description are arbitrage free descriptions which have been suggested in the literature are often inconsistent with observed market prices and or use sampling to obtain a set of scenarios about the future we will show that this effectively introduces arbitrage opportunities in the optimization model for an investor who cannot exploit arbitrage opportunities directly because of market imperfections and trading restrictions we will illustrate that the presence of such arbitrage opportunities may cause substantial biases in the optimal investment strategy

a one factor model of interest rates and its application to treasury bond options 1990 a one factor model of interest rates and its application to treasury bond options financial analysts journal vol 46 no 1 pp 33 39

is the uk balance of payments sustainable the uk current account deficit john muellbauer and anthony murphy the uk has a large and persistent current account deficit policy makers argue that the deficit is easily financed temporary and therefore not a sign of structural weakness we examine the conditions in which it is appropriate for a country to overspend its current income with the intention of repaying loans out of future income these include an increase in international capital mobility larger net holdings of foreign assets and expectations of faster productivity growth all three apply to the uk so official reasoning is in part correct even so for several decades there has been a trend deterioration of uk trade performance most markedly in manufacturing and we detect no underlying improvement in the 1980s we highlight structural deficiencies in both demand and supply on the demand side we show the importance of rising house prices and easier consumer credit in fuelling the consumer boom to an unwarranted extent this we trace to unjustifiable subsidies to house ownership on the supply side we stress vastly inadequate investment in skill formation education and physical capital these structural deficiencies lead us to a less optimistic view than official policy we draw the policy lessons for the uk and consider whether continental europe will face similar problems as financial markets are liberalized

convertible bonds model value attribution and analytics convertible bonds provide investors an option to convert the bond into the underlying equity for this reason a convertible bond is exposed to both equity and interest rate risk incorporating these two sources of risk into the model is particularly important for callable issues in this study a two factor model is used to analyze a sample of bonds the model shows that the correlation of stock risk and interest rate risk may affect convertible bond prices significantly the bond pricing model also provides portfolio analytics and can decompose a convertible bond into its basic components the stock and bonds with different maturities this approach enables an investor to implement a more precise hedging strategy than is possible using only delta

bounding the inefficiency of equilibria in nonatomic congestion games abstract equilibria in noncooperative games are typically inefficient as illustrated by the prisoner s dilemma in this paper we quantify this inefficiency by comparing the payoffs of equilibria to the payoffs of a best possible outcome we study a nonatomic version of the congestion games defined by rosenthal int j game theory 2 1973 65 and identify games in which equilibria are approximately optimal in the sense that no other outcome achieves a significantly larger total payoff to the players games in which optimization by individuals approximately optimizes the social good in spite of the lack of coordination between players our results extend previous work on traffic routing games

nonparametric modeling of u s interest rate term structure dynamics and implications on the prices of derivative securities this paper develops a nonparametric model of interest rate term structure dynamics based on a spot rate process that permits only positive interest rates and a market price of interest rate risk that precludes arbitrage opportunities both the spot rate process and the mar ket price of interest rate risk are nonparametrically specified so that the model allows for maximal flexibility in fitting into the data marginal density of interest rates and historical term structure data are exploited to provide robust estimation of the nonparametric term structure model the model is implemented using u s data and the estimation results are compared to those in the available literature empirical results not only provide strong evidence that most traditional spot rate models and market prices of interest rate risk are misspecified but also confirm that the nonparametric model generates significantly differ ent term structures and prices of common derivatives

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

a model for designing callable bonds and its solution using tabu search abstract we formulate the problem of designing callable bonds as a non linear global optimization problem the data of the model are obtained from simulations of holding period returns of a given bond design which are used to compute a certainty equivalent return viz some target assets the design specifications of the callable bond are then adjusted so that the certainty equivalent return is maximized the resulting problem is multi modal and a tabu search procedure implemented on a distributed network of workstations is used to optimize the bond design the model is compared with the classical portfolio immunization model and the tabu search solution technique is compared with simulated annealing for solving the global optimization program it is shown that the global optimization model yields higher returns than portfolio immunization it is also shown that tabu search is computationally more efficient than simulated annealing in solving the model and it produces better solutions

on the suboptimality of single factor exercise strategies for bermudan swaptions abstract this paper resolves the disagreement between longstaff et al 2001 journal of finance economics 62 39 66 and andersen and andreasen 2001 journal of financial economics 62 3 37 over the effectiveness of the common business practice of using best fit single factor term structure models to deduce exercise strategies of bermudan swaptions i examine the cost of using recalibrated single factor models to determine the exercise strategy for bermudan swaptions in a multifactor world i show that single factor exercise strategies applied in a multifactor world only give rise to economically insignificant losses furthermore i find that the conditional model risk as defined in longstaff et al 2001 journal of finance economics 62 39 66 is statistically insignificant given the number of observations additional tests using the primal dual algorithm of andersen and broadie 2004 management science 50 9 indicate that losses found in longstaff et al 2001 journal of finance economics 62 39 66 cannot as claimed be ascribed to the number of factors

from data to model and back to data a bond portfolio management problem abstract the bond portfolio management problem is formulated as a multiperiod stochastic program using interest rate scenarios the scenarios are sampled from the binomial lattice from a black derman toy model the paper analyzes the sensitivity of the solution of the resulting large scale mathematical program with respect to the model inputs the numerical results are for the italian bond market

real estate assets and consumer spending in an interesting contribution to this journal elliott 1980 shows that consumer spending is better explained if permanent income is estimated from explicit measures of wealth the wealth approach rather than current and past incomes the income approach in the income approach permanent income yp is computed as a distributed lag mechanism in the wealth approach this procedure is followed for labor income but permanent nonhuman income is specified as a constant multiple 72 of actual nonhuman wealth at the beginning of a period ant the distinction between income and wealth approaches is intuitively appealing and has been tried before elliott s equation 12 is the same as equation 5 in bhatia 1972 except that elliott uses actual wealth instead of bhatia s expected wealth the novelty in elliott s specification lies in considering different components of wealth which is also appealing because measures of wealth ranging from real money balances to broad aggregates of human and nonhuman wealth have been used in the literature elliott s most striking result that real assets mainly real estate and durable goods have no significant effect on consumer spending however is disturbing because real estate is a major household asset in fact the largest one in many years according to frb balance sheets 1983 and accrued gains on real estate have often been larger than gains on corporate equities during the last decade or two also there is some recent empirical evidence that gains on real assets significantly reduce personal saving peek 1983 the main purpose of this note is to reexamine and rehabilitate the role of real assets one can question elliott s specification which does not adequately allow for expected gains or his use of undistributed corporate profits as a contemporaneous proxy for all capital gains tenuous at best but the heart of the matter is the residential value series derived by elliott from perpetual inventory benchmarks pp 533 34 which being accumulations of construc

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

do liquidity constraints and interest rates matter for consumer behavior evidence from credit card data this paper utilizes a unique new dataset of credit card accounts to analyze how people respond to changes in credit supply the data consist of a panel of thousands of individual credit card accounts from several different card issuers with associated credit bureau data we estimate both marginal propensities to consume mpcs out of liquidity and interest rate elasticities we also evaluate the ability of different models of consumption to rationalize our results distinguishing the permanent income hypothesis pih liquidity constraints precautionary saving and behavioral models we find that increases in credit limits generate an immediate and significant rise in debt counter to the pih the average mpc out of liquidity ddebt dlimit ranges between 10 14 the mpc is much larger for people starting near their limits consistent with binding liquidity constraints however the mpc is significant even for people starting well below their limit we show this response is consistent with buffer stock models of precautionary saving nonetheless there are other results that conventional models cannot easily explain e g why so many people are borrowing on their credit cards and simultaneously holding low yielding assets unlike most other studies we also find strong effects from changes in account specific interest rates the long run elasticity of debt to the interest rate is approximately 1 3 less than half of this elasticity represents balance shifting across cards with most reflecting net changes in total borrowing the elasticity is larger for decreases in interest rates than for increases which can explain the widespread use of temporary promotional rates the elasticity is smaller for people starting near their credit limits again consistent with liquidity constraints

the intersection of market and credit risk abstract economic theory tells us that market and credit risks are intrinsically related to each other and not separable we describe the two main approaches to pricing credit risky instruments the structural approach and the reduced form approach it is argued that the standard approaches to credit risk management creditmetrics creditrisk and kmv are of limited value when applied to portfolios of interest rate sensitive instruments and in measuring market and credit risk empirically returns on high yield bonds have a higher correlation with equity index returns and a lower correlation with treasury bond index returns than do low yield bonds also macro economic variables appear to influence the aggregate rate of business failures the creditmetrics creditrisk and kmv methodologies cannot reproduce these empirical observations given their constant interest rate assumption however we can incorporate these empirical observations into the reduced form of jarrow and turnbull 1995b drawing the analogy risk 5 63 70 model here default probabilities are correlated due to their dependence on common economic factors default risk and recovery rate uncertainty may not be the sole determinants of the credit spread we show how to incorporate a convenience yield as one of the determinants of the credit spread for credit risk management the time horizon is typically one year or longer this has two important implications since the standard approximations do not apply over a one year horizon first we must use pricing models for risk management some practitioners have taken a different approach than academics in the pricing of credit risky bonds in the event of default a bond holder is legally entitled to accrued interest plus principal we discuss the implications of this fact for pricing second it is necessary to keep track of two probability measures the martingale probability for pricing and the natural probability for value at risk we discuss the benefits of keeping track of these two measures

integrated simulation and optimization models for tracking indices of fixed income securities increasing performance pressures on fixed income managers have led to a search for new and creative ways to add to portfolio returns the largest pension plan sponsors insurance companies foundations and money management firms are using indexed portfolios as their fixed income assets management strategies since the late 1970s tracking a fixed income index is a difficult task due to transaction costs portfolio size and diversification restrictions liquidity requirements bid ask spreads etc this paper develops an integrated simulation and optimization approach for tracking fixed income indices the model was implemented at metropolitan life insurance company we introduce a simulation model for generating scenarios of holding period returns of the securities in the index then we develop optimization models to select a portfolio that tracks the index the models penalize downside deviations of the portfolio return from the index the developed framework is used to track the salomon brothers mortgag

an integrated pricing model for defaultable loans and bonds abstract in recent years credit risk has played a key role in risk management issues practitioners academics and regulators have been fully involved in the process of developing studying and analysing credit risk models in order to find the elements which characterize a sound risk management system in this paper we present an integrated model based on a reduced pricing approach for market and credit risk its main features are those of being mark to market and that the spread term structure by rating class is contingent on the seniority of debt within an arbitrage free framework we introduce issues such as the integration of market and credit risk the use of stochastic recovery rates and recovery by seniority moreover we will characterize default risk by estimating migration risk through a mortality rate actuarial based approach the resultant probabilities will be the base for determining multi period risk neutral transition probability that allow pricing of risky debt in the trading and banking book

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

one factor interest rate models and the valuation of interest rate derivative securities this paper compares different approaches to developing arbitrage free models of the term structure it presents a numerical procedure that can be used to construct a wide range of one factor models of the short rate that are both markov and consistent with the initial term structure of interest rates

the effect of environmental uncertainty on the tragedy of the commons abstract we model a common pool resource game under environmental uncertainty where individuals in a symmetric group face the dilemma of sharing a common resource each player chooses a consumption level and obtains a corresponding share of that resource but if total consumption exceeds a sustainable level then the resource deteriorates and all players are worse off we consider the effect of uncertainty about the sustainable resource size on the outcome of this game assuming a general dynamic for resource deterioration we study the effect of increased ambiguity i e uncertain probabilities pertaining to the common resource s sustainable size we show that whereas increased risk may lead to more selfish behavior i e to more consumption increased ambiguity may have the opposite effect

housing wealth effects evidence from an australian panel we explore the positive relationship between house prices and household spending by following a panel of australian households no evidence for traditional housing wealth effects is found with young homeowners exhibiting the largest wealth effects young renters also exhibit a positive consumption response to house prices although less so than young homeowners this suggests that increasing house prices raise spending via easing credit constraints and a common association between house prices and a third factor results from a cohort level panel are similar to those using household level data suggesting that pseudo panels may be used as a partial substitute for actual panels

pricing derivatives on financial securities subject to credit risk this article provides a new methodology for pricing and hedging derivative securities involving credit risk two types of credit risks are considered the first is where the asset underlying the derivative security may default the second is where the writer of the derivative security may default we apply the foreign currency analogy of jarrow and turnbull 1991 to decompose the dollar payoff from a risky security into a certain payoff and a spot exchange rate arbitrage free valuation techniques are then employed this methodology can be applied to corporate debt and over the counter derivatives such as swaps and caps the purpose of this article is to provide a new theory for pricing and hedging derivative securities involving credit risk two sources of credit risk are identified and analyzed the first is where the asset underlying the derivative security may default paying off less than promised this is the case for example with imbedded options on corporate debt the second is the credit risk introduced by the writer of the derivative security who may also default examples include over the counter writers of options on eurodollar futures swaps and swaptions for pricing derivative securities involving credit risk there are currently two approaches the first views these derivatives as contingent claims not on the financial securities themselves but as compound options on the assets underlying the financial securities this is the case for example with the pricing of imbedded options on corporate debt see merton 1974 1977 black and cox 1976 ho and singer 1982 chance 1990 and kim ramaswamy and sundaresan 1993 or the pricing of vulnerable options see johnson and stulz 1987 in practice however this valuation methodology is difficult to use first the assets underlying the financial security are often not tradeable and therefore their values are not observable this makes application of the theory and estimation of the relevant parameters problematic second as in the case of corporate debt all of the other liabilities of the firm senior to the corporate debt must first and simultaneously be valued this generates significant computational difficulties as a result this approach has not

the valuation of complex derivatives by major investment firms empirical evidence this article examines the auction of a portfolio of collateralized mortgage obligations cmos to major broker dealers and institutional investors the unique data set allows us to analyze a number of important empirical questions related to the valuation of cmos by the bidders and the elasticity of demand for the securities the results reveal that the valuations differ substantially implying a significant elasticity of demand this article is designed to shed light on two related questions first it extends the work of bagwell 1991 1992 brown and ryngaert 1990 and bradley desai and kim 1988 among others on shareholder heterogeneity and the elasticity of the demand for financial assets to date the empirical research on investor heterogeneity has focused on common stock this article supplements previous work by examining an auction of another class of securities complex collateralized mortgage obligations cmos to major securities dealers and institutional investors second it provides perspective on fixed income valuation models in the spirit of cox ingersoll and ross 1985 and black derman and toy 1990 virtually all of these models even those that specify relatively complex interest rate processes assume homogeneous beliefs this implies that within the constraints imposed by estimation error sophisticated investors should place equal values on fixed income securities bagwell observes that investors can be heterogeneous along several dimensions first heterogeneity can be induced by tax rules to the extent that different investors are taxed in different ways their demand for securities will be affected second transaction costs can cause heterogeneity by driving a wedge between buyers sellers and owners of a security third investors can differ in their assessments of the value of a security either because they possess different information or because they analyze that information in different ways fourth investors can face different nontradeable risks and thus can have different assessments of the value of a security depending on how it interacts with these risks finally it has been suggested by lee shleifer and thaler 1991 among others that investors may differ for idio

a stochastic programming model for money management abstract portfolio managers in the new fixed income securities have to cope with various forms of uncertainty in addition to the usual interest rate changes uncertainy in the timing and amount of cashflows changes in the default and other risk premia and so on complicate the portfolio manager s problem we develop here a multi period dynamic portfolio optimization model to address this problem the model specifies a sequence of investment decisions over time that maximize the expected utility of return at the end of the planning horizon the model is a two stage stochastic program with recourse the dynamics of interest rates cashflow uncertainty and liquidity default and other risk premia are explicitly modeled through postulated scenarios simulation procedures are developed to generate these scenarios the optimization models are then integrated with the simulation procedures extensive validation experiments are carried out to establish the effectiveness of the model in dealing with uncertainty in particular the model is compared against the popular portfolio immunization strategy and against a portfolio based on mean absolute deviation optimization

dynamic models of the term structure in the past 25 years tremendous progress has been made in modeling the dynamics of the term structure of interest rates which play an instrumental role in determining prices and hedging portfolios of fixed income derivative securities this article reviews the theoretical development of the dynamic models of the default free term structure and their applications in pricing interest rate options classic models sometimes termed equilibrium models and their multifactor extensions are outlined these models provide clear economic intuitions connecting the term structure with economic fundamentals they also lay a foundation for the framework of the arbitrage models that price interest rate derivatives on the basis of the market prices of bonds this framework has been expanded and enriched by recent advances in directly modeling observable market rates through the market models and in incorporating an internally consistent correlation structure through the infinite dimensional models

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

a cyclical square root model for the term structure of interest rates this paper presents a cyclical square root model for the term structure of interest rates assuming that the spot rate converges to a certain time dependent long term level this model incorporates the fact that the interest rate volatility depends on the interest rate level and specifies the mean reversion level and the interest rate volatility using harmonic oscillators in this way we incorporate a good deal of flexibility and provide a high analytical tractability under these assumptions we compute closed form expressions for the values of different fixed income and interest rate derivatives finally we analyze the empirical performance of the cyclical model versus that proposed in cox et al 1985 and show that it outperforms this benchmark providing a better fitting to market data

choice under uncertainty problems solved and unsolved ffifteen years ago the theory of choice under uncertainty could be considered one of the success stories of economic analysis it rested on solid axiomatic foundations it had seen important breakthroughs in the analytics of risk risk aversion and their applications to economic issues and it stood ready to provide the theoretical underpinnings for the newly emerging information revolution in economics 1 today choice under uncertainty is a field in flux the standard theory is being challenged on several grounds from both within and outside economics the nature of these challenges and of our profession s responses to them is the topic of this paper

on the optimality of path dependent structured funds the cost of standardization abstract this paper examines the suitability of an important class of standard financial structured products namely those whose performances are based on smoothing the return of a given risky underlying asset while providing a guarantee at maturity using various assumptions about the customers attitudes towards risk we show that such standardized products are not optimal even if the financial market volatility is constant as a by product we provide in particular the optimal portfolio value in the regret rejoice framework to go further with the notion of aversion of getting a return smaller than the risk free one using the notion of compensating variation we determine for the first time the monetary losses of providing these standardized products instead of the optimal ones to the customers we show that these monetary losses can be very significant when the volatility of the risky asset is stochastic from the operational point of view such results highly suggest to trade on the volatility index vix and or to introduce derivatives written on it when selling standardized funds in order to better meet investors needs and preferences

contest efforts in light of behavioural considerations this study shows that distortion of probabilities is a possible reason for rent under dissipation incontests with relatively small number of participants such distortion may also result however inover dissipation of the contested rent focusing on contests with homogeneous contestants and thecommonly studied contest success function our main results clarify under what circumstances i rents are more under dissipated relative to the standard situation where probabilities are notdistorted ii rents are under dissipated yet less intensely relative to the standard situation whereprobabilities are not distorted iii rents are over dissipated and iv the contest does not possess asymmetric interior equilibrium in pure strategies

something will turn up financial over optimism and mortgage arrears this paper investigates the association between unrealised financial expectations over optimism and subsequent mortgage repayment difficulties using british longitudinal data evidence is provided that an increased probability of mortgage payment difficulties post committal is associated with over optimism prior to new mortgage advances

an index of loss aversion to a considerable extent risk aversion as it is commonly observed is caused by loss aversion several indexes of loss aversion have been proposed in the literature the one proposed in this paper leads to a clear decomposition of risk attitude into three distinct components basic utility probability weighting and loss aversion the index is independent of the unit of payment the main theorem shows how the indexes of different decision makers can be compared through observed choices

local smoothness and the price of anarchy in splittable congestion games abstract congestion games are multi player games in which players costs are additive over a set of resources that have anonymous cost functions with pure strategies corresponding to certain subsets of resources in a splittable congestion game each player can choose a convex combination of subsets of resources we characterize the worst case price of anarchy a quantitative measure of the inefficiency of equilibria in splittable congestion games our approximation guarantee is parameterized by the set of allowable resource cost functions and degrades with the degree of nonlinearity of these cost functions we prove that our guarantee is the best possible for every set of cost functions that satisfies mild technical conditions we prove our guarantee using a novel local smoothness proof framework and as a consequence the guarantee applies not only to the nash equilibria of splittable congestion games but also to all correlated equilibria

the valuation of options on coupon bonds abstract we derive simple closed form expressions for european options on coupon bonds using the general equilibrium term structure framework of cox ingersoll and ross the properties of these options are very different from those implied by the black scholes model for example bond call and put values can move in the same direction as the value of the underlying bond changes this has important implications for hedging interest rate risk with bond options furthermore bond option values can be decreasing functions of interest rate volatility as well as their time to expiration we also examine the properties of american bond options

discounting the distant future how much does model selection affect the certainty equivalent rate evaluating investment with long term consequences using discount rates that decline with the time horizon declining discount rates of ddrs means that future welfare changes are of greater consequence in present value terms recent work in this area has turned towards operationalising the theory and establishing a schedule of ddrs for use in cost benefit analysis using us data we make the following points concerning this transition i model selectionhas important implications for operationalising a theory of ddrs that depends upon uncertainty ii misspecification testing naturally leads to employing models that account for changes in the interest reat generating medanism lastly we provide an analysis of the policy implications of ddrs in the context of climate change for the us and show that the use of a state space model can increase valuations by 150 compared to conventional constant discounting

systems competition and network effects this paper discusses firm behavior market performance and the public and private institutions that arise in systems markets i e markets where consumers use compatible components together to generate benefits in such markets which include communications networks and hardware software networks popular products are inherently more valuable these network effects can drive corporate strategies and are critical in understanding innovation in many high technology markets the discussion here emphasizes the dynamics of consumer adoption decisions in the presence of network effects competition between incompatible systems and how suppliers choose which components are compatible and which are not

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

capturing the correlations of fixed income instruments this paper develops a framework for managing portfolios of fixed income instruments based on traditional principles from the equities market i e based on diversification it shows through an analysis of the high yield bond market over the period 1987 to 1991 that fixed income prices could be highly correlated these correlations can be quantified and integrated in a systematic way in an asset liability management framework for vanishing fixed income securities however we cannot resort to statistical analysis of historical data in order to quantify correlations the paper develops a forward looking simulation procedure for capturing correlations applications are illustrated for examples from high yield bonds and mortgage backed securities the superiority of the proposed approach over the traditional portfolio immunization techniques is demonstrated in the context of funding an insurance liability stream with mortgage instruments

pricing interest rate derivatives a general approach the relationship between affine stochastic processes and bond pricing equations in exponential term structure models has been well established we connect this result to the pricing of interest rate derivatives if the term structure model is exponential affine then there is a linkage between the bond pricing solution and the prices of many widely traded interest rate derivative securities our results apply to m factor processes with n diffusions and l jump processes the pricing solutions require at most a single numerical integral making the model easy to implement we discuss many options that yield solutions using the methods of the article

mortgage loan portfolio optimization using multi stage stochastic programming we consider the dynamics of the danish mortgage loan system and propose several models to reflect the choices of a mortgagor as well as his attitude towards risk the models are formulated as multi stage stochastic integer programs which are difficult to solve for more than 10 stages scenario reduction and lp relaxation are used to obtain near optimal solutions for large problem instances our results show that the standard danish mortgagor should hold a more diversified portfolio of mortgage loans and that he should rebalance the portfolio more frequently than current practice

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