general equilibrium modelling of the direct and indirect economic impacts of water quality improvements in the netherlands at national and river basin scale abstract the main objective of the study presented in this paper is to estimate the direct and indirect economic impacts of water quality policy scenarios in the netherlands focusing on the reduction of emission levels of nutrients and a number of eco toxicological substances for this purpose an applied general equilibrium age model consisting of 27 production sectors is extended to water through the inclusion of substitution elasticities between labour capital and emissions to water in the sectors production functions the macro economic costs of a 10 20 and 50 reduction of the emission levels in the year 2000 of ten priority substances in the eu water framework directive vary between 0 2 and 9 4 of net national income nni a large share of the total economic costs are borne by important sources of pollution like commercial shipping the chemical and metal industry however important spin off effects due to adaptation take place in the tertiary service sector besides the estimation of the economy wide impacts of water quality improvements the novelty of the study presented here is found in the downscaling of national and sector results to river basin level and the estimation of shadow prices for water polluting substances through the introduction of an emission permits market

recent developments in consumer credit risk assessment consumer credit risk assessment involves the use of risk assessment tools to manage a borrower s account from the time of pre screening a potential application through to the management of the account during its life and possible write off the riskiness of lending to a credit applicant is usually estimated using a logistic regression model though researchers have considered many other types of classifier and whilst preliminary evidence suggest support vector machines seem to be the most accurate data quality issues may prevent these laboratory based results from being achieved in practice the training of a classifier on a sample of accepted applicants rather than on a sample representative of the applicant population seems not to result in bias though it does result in difficulties in setting the cut off profit scoring is a promising line of research and the basel 2 accord has had profound implications for the way in which credit applicants are assessed and bank policies adopted

workforce reorganization and the worker in this article we study the joint decision process of changing the structure of jobs and laying off individual workers in a firm that downsizes its workforce a hierarchical decision model is proposed and estimated using personnel data from a firm in demise comparing the characteristics of the individual workers and the structure of the firm s labour force before and after its reorganization our results show that workers in jobs in the top levels of each skill group s hierarchy are better protected against downsizing due to larger productivity shocks and larger firing costs

risk neutral parameter shifts and derivatives pricing in discrete time we obtain a large class of discrete time risk neutral valuation relationships or preference free derivatives pricing models by imposing a simple restriction on the state price density process the risk neutral stock return and forward rate dynamics are obtained by changing only a location parameter which can be determined independent of the preference and true location parameters the gaussian models of rubinstein 1976 brennan 1979 and c mera 2003 and the gamma model of heston 1993 are all special cases the model provides simple relationships between expected returns and state price density parameters analogous to the diffusion case

economic and regulatory capital allocation for revolving retail exposures abstract we present two internal capital allocation models and compare the capital ratios they generate with those prescribed by the latest revision of basel s new capital accord proposal for advanced retail portfolios which allows for explicit future margin income recognition given a test portfolio of credit card exposures that we assemble we find that basel s ratios are closer to those generated by our models for low credit risk segments we attribute the discrepancies to the different ways basel and our models account for future margin income to basel s assumptions about asset correlations and to one model taking macroeconomic conditions into account

the pricing of options on assets with stochastic volatilities one option pricing problem that has hitherto been unsolved is the pricing of a european call on an asset that has a stochastic volatility this paper examines this problem the option price is determined in series form for the case in which the stochastic volatility is independent of the stock price numerical solutions are also produced for the case in which the volatility is correlated with the stock price it is found that the black scholes price frequently overprices options and that the degree of overpricing increases with the time to maturity one option pricing problem that has hitherto remained unsolved is the pricing of a european call on a stock that has a stochastic volatility from the work of merton 12 garman 6 and cox ingersoll and ross 3 the differential equation that the option must satisfy is known the solution of this differential equation is independent of risk preferences if a the volatility is a traded asset or b the volatility is uncorrelated with aggregate consumption if either of these conditions holds the risk neutral valuation arguments of cox and ross 4 can be used in a straightfoward way this paper produces a solution in series form for the situation in which the stock price is instantaneously uncorrelated with the volatility we do not assume that the volatility is a traded asset also a constant correlation between the instantaneous rate of change of the volatility and the rate of change of aggregate consumption can be accommodated the option price is lower than the blackscholes b s 1 price when the option is close to being at the money and higher when it is deep in or deep out of the money the exercise prices for which overpricing by b s takes place are within about ten percent of the security price this is the range of exercise prices over which most option trading takes place so we may in general expect the b s price to overprice options this effect is exaggerated as the time to maturity increases one of the most surprising implications of this is that if the b s equation is used to determine the implied volatility of a near the money option the longer the time to maturity the lower the implied volatility numerical solutions for the case in which the volatility is correlated with the stock price are also examined the stochastic volatility problem has been examined by merton 13 geske 7 johnson 10 johnson and shanno 11 eisenberg 5 wiggins 16 and

nonlinear mean reversion in the short term interest rate using a new bayesian method for the analysis of diffusion processes this article finds that the nonlinear drift in interest rates found in a number of previous studies can be confirmed only under prior distributions that are best described as informative the assumption of stationarity which is common in the literature represents a nontrivial prior belief about the shape of the drift function this belief and the use of flat priors contribute strongly to the finding of nonlinear mean reversion implementation of an approximate jeffreys prior results in virtually no evidence for mean reversion in interest rates unless stationarity is assumed finally the article documents that nonlinear drift is primarily a feature of daily rather than monthly data and that these data contain a transitory element that is not reflected in the volatility of longermaturity yields the drift of the short term interest rate is an important determinant of a wide variety of asset prices both inside and outside the boundaries of what is often called fixed income while volatilities may be estimated relatively accurately using high frequency observations of the short rate the short rate s extreme persistence makes identifying the true shape of the drift function a particularly elusive goal if our goal is merely to fit prices then the difficulty in estimating a drift function can be avoided by backing out implied drifts using a no arbitrage approach such as hull and white 1990 or heath jarrow and morton 1992 these methods bypass the true distribution entirely focusing on solving for the risk neutral drift function that is consistent with the cross section of bond prices if our goal however is to learn from prices and to be able to assess theories such as the expectations hypothesis that link short and long rates then estimating the drift function under the true measure is unavoidable in several recent articles a variety of sophisticated econometric techniques have been brought to bear on the problem in particular

economywide impacts of climate change on agriculture in sub saharan africa two possible adaptation scenarios to climate change for sub saharan africa are analyzed under the sres b2 scenario the first scenario doubles the irrigated area in sub saharan africa by 2050 compared to the baseline but keeps total crop area constant the second scenario increases both rainfed and irrigated crop yields by 25 for all sub saharan african countries the two adaptation scenarios are analyzed with impact a partial equilibrium agricultural sector model combined with a water simulation module and with gtap w a general equilibrium model including water resources the methodology combines the advantages of a partial equilibrium approach which considers detailed water agriculture linkages with a general equilibrium approach which takes into account linkages between agriculture and nonagricultural sectors and includes a full treatment of factor markets the efficacy of the two scenarios as adaptation measures to cope with climate change is discussed due to the limited initial irrigated area in the region an increase in agricultural productivity achieves better outcomes than an expansion of irrigated area even though sub saharan africa is not a key contributor to global food production rainfed irrigated or total both scenarios help lower world food prices stimulating national and international food markets

modeling correlated market and credit risk in fixed income portfolios abstract current risk assessment methodologies separate the analysis of market and credit risk and thus misestimate security and portfolio risk levels we propose a new approach that relates financial market volatility to firm specific credit risk and integrates interest rate interest rate spread and foreign exchange rate risk into one overall fixed income portfolio risk assessment accounting for the correlation between these significant risk factors as well as portfolio diversification results in improved risk measurement and management the methodology is shown to produce reasonable credit transition probabilities prices for bonds with credit risk and portfolio value at risk measures

a comparative analysis of current credit risk models the new bis 1998 capital requirements for market risks allows banks to use internal models to assess regulatory capital related to both general market risk and credit risk for their trading book this paper reviews the current proposed industry sponsored credit value at risk methodologies first the credit migration approach as proposed by jp morgan with creditmetrics is based on the probability of moving from one credit quality to another including default within a given time horizon second the option pricing or structural approach as initiated by kmv and which is based on the asset value model originally proposed by merton merton r 1974 journal of finance 28 449 470 in this model the default process is endogenous and relates to the capital structure of the firm default occurs when the value of the firm s assets falls below some critical level third the actuarial approach as proposed by credit suisse financial products csfp with creditrisk and which only focuses on default default for individual bonds or loans is assumed to follow an exogenous poisson process finally mckinsey proposes creditportfolioview which is a discrete time multi period model where default probabilities are conditional on the macro variables like unemployment the level of interest rates the growth rate in the economy which to a large extent drive the credit cycle in the economy 2000 elsevier science b v all rights reserved

a unified approach to bermudan and barrier options under stochastic volatility models with jumps abstract many financial assets such as currencies commodities and equity stocks exhibit both jumps and stochastic volatility which are especially prominent in the market after the financial crisis some strategic decision making problems also involve american style options in this paper we develop a novel fast and accurate method for pricing american and barrier options in regime switching jump diffusion models by blending regime switching models and markov chain approximation techniques in the fourier domain we provide a unified approach to price bermudan american options and barrier options under general stochastic volatility models with jumps the models considered include heston hull white stein stein scott the 3 2 model and the recently proposed 4 2 model and the hypergeometric model with general jump amplitude distributions in the return process applications include the valuation of discretely monitored contracts as well as continuously monitored contracts common in the foreign exchange markets numerical results are provided to demonstrate the accuracy and efficiency of the proposed method

china s official rates and bond yields abstract recent research shows that bond yields are influenced by monetary policy decisions to learn how this works in a bond market that differs significantly from those in the us and europe we model chinese bond yields using the one year deposit interest rate as a state variable we also include the spread between the one year market interest rate and the one year deposit interest rate as another factor the model is developed in an affine framework and closed form solutions are obtained we then test the model empirically with a markov chain monte carlo simulation procedure the results show that the new model that incorporates the official rate in china characterizes the changing shape of the yield curve well

computable general equilibrium model analysis of economywide cross effects of social and environmental policies in chile abstract the analysis of the linkages between development policies and social and environmental variables is a neglected area within the development literature this paper focuses on the key interrelations among the economic social and environmental elements of the sustainable development triangle a thorough review is undertaken of both social and environmental policies in chile underlining important economic growth and reforms using the static cge model ecogem chile the economywide impacts of several environmental social and combined policies are simulated for the chilean economy six different policies are simulated three environmental policies that impose different taxes on pm10 so 2 and no 2 emissions respectively the same tax on pm10 in a context of high unemployment one social policy that increases government transfers to households and a mixed social environmental policy package where the environmental tax on pm10 and the social transfer policy are simulated simultaneously the results show that environmental tax policies may have negative social effects using real disposable income by quintiles as proxy the impacts depend on the use of the new revenues and the status of employment taxing pm10 emission yields better environmental results than taxing so 2 and no 2 social policies do not show negative environmental impacts combined environmental and social policies improve results thus specific compensating social policies would improve environmental policy acceptance while also reducing poverty or strong income distribution disparities the evidence suggests that environmental policies may have social impacts but not vice versa the results show that the ecogem chile model is useful for analyzing systematically and holistically different economywide policies and their impact on the chilean economy winners and losers may be identified as well as the potential magnitude of gains and losses the results obtained are not all straightforward due to indirect effects

bond pricing and the term structure of interest rates a new methodology for contingent claims valuation this paper presents a unifying theory for valuing contingent claims under a stochastic term structure of interest rates the methodology based on the equivalent martingale measure technique takes as given an initial forward rate curve and a family of potential stochastic processee for its subsequent movements a no arbitrage condition restricts this family of processes yielding valuation formulae for interest rate sensitive contingent claims which do not explicitly depend on the market prices of risk examples are provided to illustrate the key results in relation to the term structure of interest rates arbitrage pricing theory has two purposes the first is to price all zero coupon default free bonds of varying maturities from a finite number of economic fundamentals called state variables the second is to price all interest rate sensitive contingent claims taking as given the prices of the zero coupon bonds this paper presents a general theory and a unifying framework for understanding arbitrage pricing theory in this context of which all existing arbitrage pricing models are special cases in particular vasicek 1977 brennan and schwartz 1979 langetieg 1980 ball and torous 1983 ho and lee 1986 schaefer and schwartz 1987 and artzner and delbaen 1988 the primary contribution of this paper however is a new methodology for solving the second problem i e the pricing of interest rate sensitive contingent claims given the prices of all zero coupon bonds the methodology is new because i it imposes its stochastic structure directly on the evolution of the forward rate curve ii it does not require an inversion of the term structure to eliminate the market prices of risk from contingent claim values and iii it has a stochastic spot rate process with multiple stochastic factors influencing the term structure the model can be used to consistently price and hedge all contingent claims american or european on the term structure and it is derived from necessary and more importantly sufficient conditions for the absence of arbitrage the arbitrage pricing models of vasicek 1977 brennan and schwartz 1979 langetieg 1980 and artzner and delbaen 1988 all require an iformerly titled bond pricing and the term structure of interest rates a new methodology

an equilibrium model of bond pricing and a test of market efficiency in two previous and related papers 3 4 the authors have reported the results of estimating a particular equilibrium model of bond pricing using quarterly data on canadian government bonds for the period 1964 to 1979 this paper reports the results of applying a similar model to the pricing of u s government bonds for the period 1958 1979 using data from the crsp government bond file the paper also extends the previous empirical analysis by evaluating the ability of the pricing model to detect underpriced and overpriced bonds the data reveal a strong relation between price prediction errors and subsequent bond returns

structural models in consumer credit abstract we propose a structural credit risk model for consumer lending using option theory and the concept of the value of the consumer s reputation using brazilian empirical data and a credit bureau score as proxy for creditworthiness we compare a number of alternative models before suggesting one that leads to a simple analytical solution for the probability of default we apply the proposed model to portfolios of consumer loans introducing a factor to account for the mean influence of systemic economic factors on individuals this results in a hybrid structural reduced form model and comparisons are made with the basel ii approach our conclusions partially support that approach for modelling the credit risk of portfolios of retail credit

a dynamic programming approach for pricing options embedded in bonds abstract we propose a dynamic programming dp approach for pricing options embedded in bonds the focus being on call and put options with advance notice an efficient procedure is developed for the cases where the interest rate process follows the vasicek cox ingersoll ross cir or generalized vasicek models our dp methodology uses the exact joint distribution of the interest rate and integrated interest rate at a future date conditional on the current value of the interest rate we provide numerical illustrations for the vasicek and cir models comparing our dp method with finite difference methods our procedure compares quite favorably in terms of both efficiency and accuracy an important advantage of the our dp approach is that it can be applied to more general models calibrated to capture the term structure of interest rates e g the generalized vasicek model

a consistent stochastic model of the term structure of interest rates for multiple tenors abstract starting from the observation that single currency swap basis spreads contradict classical arbitrage arguments we construct a framework where this basis arises due to the presence of roll over risk this risk consists of two components 1 facing a higher credit spread e g due to a credit downgrade when rolling over short term borrowing 2 heightened borrowing costs due to an absence of market liquidity the model simultaneously fits ois interest rate swap and basis swap market quotes including cds market quotes allows the two components of roll over risk to be explicitly separated this is highly relevant to the current libor transition illustrating why alternative benchmarks are fundamentally different from the rates they may be replacing

middle management downsizing an empirical investigation of the impact of information technology nearly all fortune 1000 firms claim to have downsized since the early eighties and it is argued that information technology it is responsible for this massive downsizing however earlier research has indicated that it increases middle management even though the impact of it on the middle management workforce has been studied for the last thirty years research has failed to clearly explain this phenomenon quite the opposite research has fueled controversy and has provided inconsistent findings this article addresses the state of inconsistent findings across multiple studies by examining the impact of information technology on the number of middle managers using two additional variables the degree of centralization of organizational decision authority and the degree of centralization of computing decision authority one hundred and fifty five city governments were surveyed information technology was found to be both positively and negatively associated with the size of the middle management workforce the impact of information technology was fundamentally determined by who controlled computing decisions and what interests were being served and by the roles of middle managers information technology was associated with a decrease in the size of the middle management workforce in organizations with centralized decision authority and with an increase in the number of middle managers in organizations where decision authority was decentralized

the effect of information technology on it facilitated coordination it facilitated autonomy and decision makings at the individual level abstractthe effect of information technology it has been a central concern to economics of it ever since it has been viewed as an important resource to improve firm productivity although significant research progress has been made on the impacts of it use at the individual level the mechanism of how it use increases individual performance at work has not been fully explored in an attempt to examine the it effects on performance we focus on individual work productivity gained from it use following the discussion of previous works we develop a research model describing that the ubiquitous it transforms the way individual employers work in organizations and facilitates working processes and practices that may affect the decision making of individual performance as a result of testing the research model we found not only that it use does have a direct effect on the quality of decision making in organizations but that this effect is partially mediated by the extent of it facilitated autonomy and o

a tractable interest rate model with explicit monetary policy rates abstract this paper proposes a novel interest rate model that presents simple analytical pricing formulas for interest rate based derivatives including swaps futures swaptions caps and floors exploring the regime switching feature of markov chains the proposed model focuses on discrete changes in the central bank policy rates the main driver of short term rate fluctuations an empirical analysis shows that the proposed model generally outperforms other standard short term rate models in fitting cross sections of options prices moreover the explicit nature of policy rates to some extent enables the model to infer risk neutral probabilities of the central bank rate decisions

a nonlinear general equilibrium model of the term structure of interest rates abstract we derive and test an alternative closed form general equilibrium model of the term structure within the cox ingersoll and ross theoretical framework in which yields are nonlinear functions of the risk free rate we show that equilibrium bond prices and the risk free rate are not always inversely related and that bond risk need not be strictly increasing in maturity using hansen s generalized method of moments to obtain parameter estimates this nonlinear model outperforms the cox ingersoll and ross square root model in describing actual treasury bill yields for the 1964 1986 period

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

an integrated stock bond portfolio optimization model abstract a new model for constructing an integrated stock bond portfolio is proposed this serves as an alternative to the popular asset allocation strategy in which the fund is first allocated to indexes corresponding to diverse asset classes and then allocated to individual assets using appropriate models for each asset class our model to the contrary determines the allocation of the fund to individual assets in one stage by solving a large scale mean variance or mean absolute deviation model using newly developed technologies in large scale linear programming and quadratic programming computational experiments show that the new approach can serve as a more reliable and less expensive method to allocate the fund to diverse classes of assets

bio economic modeling of water quality improvements using a dynamic applied general equilibrium approach an integrated bio economic model is developed to assess the impacts of pollution reduction policies on water quality and the economy emission levels of economic activities to water are determined based on existing environmental accounts these emission levels are built into a dynamic economic model for the dutch economy and subsequently coupled to a national water quality model the modular approach has the advantage that the impacts on the economy and water quality are evaluated simultaneously but each within their own domain based on the appropriate scale and level of detail the dynamic nature of the economic model allows us to also evaluate a derogated water policy as foreseen in the european water framework directive the indirect costs of different water quality improvement policy scenarios are at least as high as the direct costs related to investments in pollution abatement technology the stricter the policy scenario the more important the role of economic adjustment and restructuring mechanisms at the macro economic level significant water quality improvements can be achieved through stringent domestic emission reductions however reaching water quality standards is highly dependent on water quality improvement policy in surrounding river basin countries and climate change

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

economic valuation of the vulnerability of world agriculture confronted with pollinator decline there is mounting evidence of pollinator decline all over the world and consequences in many agricultural areas could be significant we assessed these consequences by measuring 1 the contribution of insect pollination to the world agricultural output economic value and 2 the vulnerability of world agriculture in the face of pollinator decline we used a bioeconomic approach which integrated the production dependence ratio on pollinators for the 100 crops used directly for human food worldwide as listed by fao the total economic value of pollination worldwide amounted to 153 billion which represented 9 5 of the value of the world agricultural production used for human food in 2005 in terms of welfare the consumer surplus loss was estimated between 190 and 310 billion based upon average price elasticities of 1 5 to 0 8 respectively vegetables and fruits were the leading crop categories in value of insect pollination with about 50 billion each followed by edible oil crops stimulants nuts and spices the production value of a ton of the crop categories that do not depend on insect pollination averaged 151 while that of those that are pollinator dependent averaged 761 the vulnerability ratio was calculated for each crop category at the regional and world scales as the ratio between the economic value of pollination and the current total crop value this ratio varied considerably among crop categories and there was a positive correlation between the rate of vulnerability to pollinators decline of a crop category and its value per production unit looking at the capacity to nourish the world population after pollinator loss the production of 3 crop categories namely fruits vegetables and stimulants will clearly be below the current consumption level at the world scale and even more so for certain regions like europe yet although our valuation clearly demonstrates the economic importance of insect pollinators it cannot be considered as a scenario since it does not take into account the strategic responses of the markets

unspanned stochastic volatility and fixed income derivatives pricing we propose a parsimonious unspanned stochastic volatility model of the term structure and study its implications for fixed income option prices the drift and quadratic variation of the short rate are affine in three state variables the short rate its long term mean and variance which follow a joint markov vector process yet bond prices are exponential affine functions of only two state variables independent of the current interest rate volatility level because this result holds for an arbitrary volatility process such a process can be calibrated to match fixed income derivative prices furthermore this model can be extended by relaxing the time homogeneity to fit any arbitrary term structure in its hjm form this model nests the analogous stochastic equity volatility model of heston 190 heston s l 1993 a closed form solution for options with stochastic volatility review of financial studies 6 327 343 in particular if the volatility process is specified to be affine closed form solutions for interest rate options obtain we propose an efficient algorithm to compute these prices an application using data on caps and floors shows that the model can capture very well the implied black spot volatility surface while simultaneously fitting the observed term structure c 2005 elsevier b v all rights reserved

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

where is the value in valuing pollination ecosystem services to agriculture abstract current national and global scale monetary valuation of pollination services do not accurately estimate the contribution of wild pollinators to agricultural production first ecosystem wild pollination services remain largely bundled with those of managed pollinators this problem is compounded by the fact that the dependency of crops on pollination a key parameter used in current valuations does not reflect variation in pollinator density crop cultivars and growing conditions that exist in practice over half of the 153 billion of estimated global pollination service value in 2005 is based on estimates of pollinator dependency from crops with fewer than three field studies that measure actual levels of pollinator activity and corresponding fruit set the resulting uncertainty may be most distorting when applied to widely planted intensive oilseed crops furthermore current valuations are underpinned by simplistic assumptions regarding the likelihood of pollinator decline and the impact on agricultural prices although efforts to motivate wild pollinator protection through their ecosystem service value remain highly circumscribed by conceptual and empirical limitations we identify the need to go beyond technical solutions and develop a critical framework that could account for why pollinator conservation has come to be predominantly justified in these terms to begin with

in search of optimal stocking regimes in semi arid grazing lands one size does not fit all we discuss the search for optimal stocking regimes in semi arid grazing lands we argue that one size does not fit all and that different stocking regimes are appropriate under different conditions this paper is an attempt to move beyond polarization of the current debate towards a more integrative and flexible approach to grazing management we propose five different conditions as major influences on grazing regimes environmental variability and predictability degradation and thresholds property right regimes discount rates and market stability and prices we suggest a lack of connection between the micro economics literature and natural science and social anthropological literature it is timely to achieve greater integration around some key questions and hypotheses and recognize that policy prescriptions at national or even regional levels are likely to have limited value due to context specificity

a simple approach to interest rate option pricing a simple introduction to contingent claim valuation of risky assets in a discrete time stochastic interest rate economy is provided taking the term structure of interest rates as exogenous closed form solutions are derived for european options written on 1 treasury bills 2 interest rate forward contracts 3 interest rate futures contracts 4 treasury bonds 5 interest rate caps 6 stock options 7 equity forward contracts 8 equity futures contracts 9 eurodollar liabilities and 10 foreign exchange contracts article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

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

more than mean effects modeling the effect of climate on the higher order moments of crop yields this article proposes the use of moment functions and maximum entropy techniques as a flexible approach for estimating conditional crop yield distributions we present a moment based model that extends previous approaches and is easily estimated using standard econometric estimators predicted moments under alternative regimes are used as constraints in a maximum entropy framework to analyze the distributional impacts of switching regimes an empirical application for arkansas mississippi and texas upland cotton demonstrates how climate and irrigation affect the shape of the yield distribution and allows us to illustrate several advantages of our moment based maximum entropy approach

the economic impacts of droughts a framework for analysis abstract droughts are a specific type of natural hazard economic assessments of drought impacts require a framework capable of accounting for its unique and particular characteristics traditional conceptual frameworks used to assess the impacts of natural hazards do not adequately capture all of the factors that contribute to the economic impacts of droughts such as the importance of the level and composition of hydraulic capital the dispersion of economic impacts across different economic activities and agents the temporality of drought events and the critical importance of policy making in shaping the short and long term economic impacts of droughts nor do traditional frameworks take account of the complex interaction between factors within the domain of decision making and underlying climate conditions we propose a new conceptual framework based around two sources of economic impact green water and blue water and argue that because each source of drought impacts the economy in different ways they must be differentiated in any assessment of economic impact

pricing and hedging in incomplete markets abstract we present a new approach for positioning pricing and hedging in incomplete markets that bridges standard arbitrage pricing and expected utility maximization our approach for determining whether an investor should undertake a particular position involves specifying a set of probability measures and associated floors which expected payoffs must exceed in order for the investor to consider the hedged and financed investment to be acceptable by assuming that the liquid assets are priced so that each portfolio of assets has negative expected return under at least one measure we derive a counterpart to the first fundamental theorem of asset pricing we also derive a counterpart to the second fundamental theorem which leads to unique derivative security pricing and hedging even though markets are incomplete for products that are not spanned by the liquid assets of the economy we show how our methodology provides more realistic bid ask spreads

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 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

small dimension pde for discrete asian options abstract this paper presents an efficient method for pricing discrete asian options in presence of smile and non proportional dividends using an homogeneity property we show how to reduce an n 0 dimensional problem to a one or two dimensional one we examine different numerical specifications of our dimension reduced pde using a crank nicholson method interpolation method grid boundaries time and space steps as well as the extension to the case of non proportional discrete dividends using a jump condition we benchmark our results with quasi monte carlo simulation and a multi dimensional pde

an interest rate risk management model for commercial banks abstract this paper develops a goal programming model to assist a commercial bank in managing its exposure to interest rate risk the bank s objective is to immunize its equity position against innovations in interest rates while maximizing its market value to accomplish this task a duration gap framework is developed that does not require interest rate forecasts as decision variables the model includes assets liabilities and off balance sheet derivative securities the focus is on a protective put strategy that uses options on interest rate futures but to provide contrast a short interest rate futures position is examined as well application of the model to an illustrative environment indicates that for larger interest rate changes the option strategy provides better protection against interest rate risk than the short futures position

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

the pricing of options on default free bonds recent developments in the finance literature dealing with the valuation of contingent claims have been triggered by black and scholes 2 with their valuation of european options on corporate stocks the type of valuation model derived by black and scholes is attractive because it is independent of preferences this independence is possible due to the fact that the contingent claims are usually assumed to be contingent on traded assets or traded state variables for example a european call option is a claim contingent on the value of the corresponding stock to maintain the independence of the claim from preferences however some variables have to be discarded and considered as constants for example the rate of interest which is not a traded state variable is considered a constant in most of the literature see black and scholes 2 merton 11 and ingersoll 9 though this approximation might not cause important discrepancies in the case of corporate liabilities and options on corporate liabilities the effect of such an approximation on the value of default free bonds and options on default free bonds is more important since these liabilities depend only on the rate of interest

opportunistic and conservative pastoral strategies some economic arguments abstract this paper revisits the debate over the relative effectiveness of conservative and opportunistic stocking strategies for african pastoral rangelands the paper is based on a reassessment of the results of an earlier paper in this journal by campbell et al 2000 campbell b m dore d luckert m mukamuri b gambiza j 2000 economic comparisons of livestock production in communal grazing areas of zimbabwe ecol econ 33 413 438 which argued that the advocacy of opportunistic strategies by the new range science was misplaced this paper questions some of the assumptions of this scenario modelling effort both in terms of causal structure and parameter estimates by developing a mimic model and using data from the same site a dryland communal area in southern zimbabwe this paper shows how the conclusions of the earlier paper were premature the need for sensitivity analysis in assessing model findings is emphasised if policy conclusions with potentially major impacts on people s livelihoods are to be drawn a brief discussion of the implications of this reassessment including more broadly the limitations and prospects of economic ecological modelling in policymaking for rangeland management concludes the paper

the economic impacts of drought on the economy of iran an integration of linear programming and macroeconometric modelling approaches in this paper we provide economy wide estimates of the costs of drought in the cropping sector of the iranian economy using a linear programming model to estimate the direct costs on agriculture and a macroeconometric model to trace the indirect impacts on the rest of the economy the results indicate that a severe drought such as the one that occurred in the crop year 1999 2000 imposes a direct cost of 1605 million usd equivalent to 30 3 of the total value added of the cropping sector in iran this in turn leads to a 12 7 reduction in the value added of other agricultural sub sectors livestock fisheries and forestry in the rest of the economy the manufacturing and service sectors experience value added declines of 7 8 and 3 7 respectively in addition there is a substantial decrease in investment in the agricultural manufacturing and service sectors thus such a drought reduces overall gdp by about 4 4 and it would also result in decreased non oil exports increased food imports and a rise in inflation the results of some drought mitigation simulations are reported in brief such estimates strengthen the case for increased attention to drought strategies and management in agriculture in iran and elsewhere

resource use and technological progress in agriculture a dynamic general equilibrium analysis we analyze the global effects of economic and population growth and the impact of a slowdown in agricultural total factor productivity tfp on agriculture and forest resources using a dynamic multi region computable general equilibrium model with land use and cover detail given the current consensus about the growth of the world economy our results suggest that food security will not be threatened and agricultural activities will not encroach on forest resources over the next decade a slowdown in agricultural tfp growth might lead to higher crop prices in all regions with south east asia facing the steepest increases a slowdown in agricultural tfp growth also might be accompanied by higher conversion rates of forestland to farmland as well as by greater environmental or ecological damages on the remaining forestland

mitigating economic risk from climate variability in rain fed agriculture through enterprise mix diversification abstract climate variability and its increase with climate change pose substantial economic risks to agriculturalists and hence limit their ability to respond to global challenges such as food security enterprise mix diversification is the most common and is widely regarded as the most effective strategy for mitigating multiple sources of short term economic risk to agricultural enterprises however assessments of enterprise mix diversification as a strategy for mitigating climate risks to ensure long term viability of agricultural enterprises are sparse using the lower murray region in southern australia as a case study we combined apsim modelling with monte carlo simulation probability theory and finance techniques to assess the extent to which enterprise mix diversification can mitigate climate induced variability in long term net returns from rain fed agriculture we found that diversification can reduce the standard deviation by up to a 200 ha 1 or 52 of mean net returns increase the probability of breaking even by up to 20 and increase the mean of 10 of worst probable annual net returns conditional value at risk by up to a 100 ha 1 we conclude that enterprise mix diversification can also be an effective strategy for hedging against climate induced economic risk for agriculturalists in marginal areas

on alternative interest rate processes abstract in this paper alternative interest rate processes are estimated for denmark germany sweden and the uk using the generalized method of moments gmm in line with the study by chan karolyi longstaff and sanders 1992 on us data there seems to be a positive relation between interest rate level and volatility for some countries in contrast to their study it is found that mean reversion plays an important role for the specification of the interest rate dynamics the results seem to be robust to the use of different moment conditions and simulations of the estimated models reveal that they are fairly able to capture non fitted moments as well in addition there is evidence of a structural change in the danish interest rate process in august 1985 which may be due to a change in monetary policy the small sample properties of the gmm estimators are also studied through simulations

dynamic asset allocation in a mean variance framework the aim of this article is to analyze the portfolio strategies that are mean variance efficient when continuous rebalancing is allowed between the current date 0 and the horizon t under very general assumptions when a zero coupon bond of maturity t exists the dynamic efficient frontier is a straight line the slope of which is explicitly characterized every dynamic mean variance efficient strategy can be viewed as buy and hold combinations of two funds the zero coupon bond of maturity t and a continuously rebalanced portfolio an appropriate dynamic strategy defining the latter is explicitly derived for two particular price processes and comparisons of the efficient frontiers static versus dynamic are provided in these cases

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

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

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

an analysis and critique of the bis proposal on capital adequacy and ratings abstract this paper examines two specific aspects of stage 1 of the bank for international settlement s bis s proposed reforms to the 8 risk based capital ratio we argue that relying on traditional agency ratings could produce cyclically lagging rather leading capital requirements resulting in an enhanced rather than reduced degree of instability in the banking and financial system despite this possible shortcoming we believe that sensible risk based weighting of capital requirements is a step in the right direction the current risk based bucketing proposal which is tied to external agency ratings or possibly to internal bank ratings however lacks a sufficient degree of granularity in particular lumping a and bbb investment grade corporate borrowers together with bb and b below investment grade borrowers severely misprices risk within that bucket and calls at a minimum for that bucket to be split into two we examine the default loss experience on corporate bonds for the period 1981 1999 and propose a revised weighting system which more closely resembles the actual loss experience on credit assets

effects of us biofuel policies on us and world petroleum product markets with consequences for greenhouse gas emissions abstract us biofuel policy includes greenhouse gas reduction targets regulators do not address the potential that biofuel policy can have indirect impacts on greenhouse gases through its impacts on petroleum product markets and scientific research only partially addresses this question we use economic models of us biofuel and agricultural markets and us and world petroleum and petroleum product markets to show that discontinuing biofuel tax credits and ethanol tariff lower biofuel use could lead to increased us petroleum product use and a reduction in petroleum product use in other parts of the world the net effect is lower greenhouse gas emissions under certain assumptions we show that biofuel use mandate elimination can have positive or negative impacts on greenhouse gas emissions the magnitude and the direction of effects depend on how us biofuel trade affects biofuel in other countries with different emissions context that determines how important use mandates are in the first place who pays mandate costs and the price responsiveness of global petroleum supplies and uses however our results show that counter intuitive effects are possible and discourage broad conclusions about the greenhouse gas impacts of removing these elements of us biofuel policy

estimating the cost savings and avoided co2 emissions in brazil by implementing energy efficient policies abstract investing more in renewable energy sources and using this in a rational and efficient way is vital for the sustainable growth of world energy efficiency ee will play an increasingly important role in future generations the aim of this work is to estimate how much the pnef national plan for energy efficiency launched by the brazilian government in 2011 will save over the next 5 years by avoiding the construction of additional power plants as well as the amount of the co2 emission the marginal operating cost is computed for medium term planning of the dispatching of power plants in the hydro thermal system using stochastic dynamic dual programming after incorporating stochastic energy efficiencies into the demand for electricity we demonstrate that even for a modest improvement in energy efficiency 1 in the optimistic scenario by comparison the new belo monte hydro electric plant will cost r 26 billion to be repaid over a 30 year period i e r 867 million in 5 years so in brazil ee policies are preferable to building a new power plant

single factor heath jarrow morton term structure models based on markov spot interest rate dynamics this paper considers the class of heath jarrow morton term structure models where the spot interest rate is markov and the term structure at time t is a function of time maturity and the spot interest rate at time t a representation for this class of models is derived and i show that the functional forms of the forward rate volatility structure and the initial forward rate curve cannot be arbitrarily chosen i provide necessary and sufficient conditions indicating which combinations of these functional forms are allowable i also derive a partial differential equation representation of the term structure dynamics that does not require explicit modeling of both the market price of risk and the drift term for the spot interest rate process using the analysis presented in this paper a class of intertemporal term structure models is derived

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

automatic responses of crop stocks and policies buffer climate change effects on crop markets and price volatility abstract climate change has the potential to affect crop prices and price volatility however the economic models used in prior assessments largely do not include known automatic stabilizing factors crop storage can stabilize prices and u s crop policy tends to provide support that moves opposite prices we quantify effects of circa 2050 climate forcing on the inter annual variability of u s corn belt corn and soybean yields using statistical crop models and climate scenarios from regional and global climate models climate change generally reduces mean yields and increases the inter annual variability of yields in the midwestern u s using these yield impacts and an economic model with automatic market stabilizers we find only modest increases in price volatility although individual producers and states are negatively affected by the yield reductions the aggregate effect for all corn and soybean producer returns can be positive because of price increases moreover agricultural policies based on price levels or revenue variation offset some of the impacts of market variation on farm income our results differ from other recent results and temper concerns that increasing climate instability necessarily translates to greater uncertainty about agricultural commodity uses including as food and biofuels in the near future

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

an exact bond option formula this paper derives a closed form solution for european options on pure discount bonds assuming a mean reverting gaussian interest rate model as in vasicek 8 the formula is extended to european options on discount bond portfolios

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

an agri environmental assessment of trade liberalization abstract this paper assesses the potential agri environmental impacts on the united states of liberalizing world agricultural trade we examine how the elimination of all agricultural policy distortions in all trading countries might influence agricultural production decisions and subsequently affect environmental quality in the united states the estimated changes in u s agricultural production under the ambitious assumption of full agricultural trade liberalization are well within the bounds of average annual variation for agricultural commodity production fig 2 in this context our results suggest that for the united states as a whole environmental impacts stemming from such hypothesized trade shocks would also fall within the average annual variation this generalization aside we note that the estimated changes in commodity production and subsequent environmental impacts are not uniform across the landscape with increases in agricultural production and the environmental indicators in some regions or sectors and decreases in others

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

hedging demands in hedging contingent claims minimum variance hedging of a contingent claim in discrete time is suboptimal when the contingent claim is hedged for multiple periods and the objective is to maximize the expected utility of cumulative hedging errors this is because the hedging errors are not independent the difference between a minimum variance hedge and the optimal multiperiod hedge is called the hedging demand and depends on the hedger s preferences the characteristics of the contingent claim the trading frequency and horizon and most importantly the joint distribution of the contingent claim and the underlying security prices since modeling this joint distribution is empirically controversial i examine nonparametrically the economic importance of hedging demands in the case of hedging standard poor s 500 index options

a model for hedging load and price risk in the texas electricity market energy companies with commitments to meet customers daily electricity demands face the problem of hedging load and price risk we propose a joint model for load and price dynamics which is motivated by the goal of facilitating optimal hedging decisions while also intuitively capturing the key features of the electricity market driven by three stochastic factors including the load process our power price model allows for the calculation of closed form pricing formulas for forwards and some options products often used for hedging purposes making use of these results we illustrate in a simple example the hedging benefit of these instruments while also evaluating the performance of the model when fitted to the texas electricity market

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

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

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